Bibliographic references

As of today, the problems of dynamic strength of the impellers of any gas turbine engine are solved mainly by the frequency detuning from resonances located near its main operating modes. Frequency detuning can often only be achieved successfully by optimal design. The task of performing frequency detuning becomes significantly more complicated if the rotor impellers significantly affect each other oscillations. In this case, the time required to perform the adjustment, even when employing powerful computers, becomes unacceptably large. One of the options for solving this problem is to application of methods for computing vibrations of impellers that are more efficient in terms of computational performance. These include the wave finite element method. A wave blade finite element with six degrees of freedom in each node has been developed. It represents a discrete annular set of identical sections of impeller blades. For its developing a defining system of equations, which was obtained by transforming differential equations describing the torsional-flexural oscillations of the blades was employed. The transformation is performed based on the use of the properties of the proper motions spectra of structures with rotational symmetry. The stiffness and mass matrices of the wave blade element were obtained by the Galerkin method wth the defining system of equations and linear shape functions. These matrices are Hermitian and establish a linear relationship between the amplitudes of traveling waves of displacements and forces on the inner and outer boundaries of the blade element. The developed finite element allows determining dynamic characteristics of the GTE blade rings.

When creating models of various technical devices and processes, mechanical systems with nonholonomic constraints are often used. As an example, the classical work of M.V. Keldysh [1] is worth mentioning, in which the nonholonomic mechanical model that described the shimmy effect, i.e. the phenomenon of intense angular self-oscillations of the aircraft front wheels [2] was proposed. That is why further studies of the classical problems of nonholonomic mechanics, which now can be studied with the state-of-the-art mathematical, symbolic and numerical methods, present interest.

One of these classical problems of nonholonomic dynamics is the problem of a heavy homogeneous ball rolling without sliding along the perfectly rough surface of revolution. This problem has been considered at the end of the 19th - beginning of the 20th century in the works of E. J. Routh and F. Noether [3, 4]. Moreover, in these works, the surface on which the geometric center of the ball is located during movement, rather than the supporting surface along which the ball is rolling, was considered given. The article demonstrates how the ball motion equations can be reduced to the system of equations written in Cauchy form, i.e. reduce the problem of the ball motion to the Cauchy problem solving by defining the surface, along which the ball is moving, in an explicit form. Coefficients of the corresponding equations will depend on characteristics of the surface, along which the center of the ball moves, its principal curvatures and the Lame coefficients. If the equations of motion of a certain mechanical system are written in Cauchy form, then it is convenient to perform numerical analysis of the system under study. Thus, numerical analysis of the equations of motion of a rolling ball along the surface of revolution was performed by the MAPLE mathematical software. The numerically obtained results confirm the analytically proven statements about the ball motion.

The article proposes a new method for kinetic diagram plotting of the fatigue crack growth rate by experimental data.

The article is divided into nine parts.

The first part discusses the work relevance, as well as adduces links to the previously conducted research on this issue.

The second part provides general description of processing results of the experiments on fatigue crack growth rate.

The third part discusses specifics and limitations of the current method of results processing of the experiments on fatigue crack growth rate.

The fourth part gives and substantiates assumptions on the qualitative characteristics of experimental data.

The fifth part describes the proposed method for the results processing of the experiments on fatigue crack growth rate. Special basic functions with which processing is performed, are being introduced.

The sixth part performs the studies of the derivatives and integrals of basic functions.

The seventh part describes the methods for determining characteristics of the kinetic diagram. These are the boundaries of the second section, coefficients of the Paris equation and coefficients of the equation approximating the first section of the kinetic diagram.

The eighth part demonstrates the results of the kinetic diagram characteristics computing, as well as provides an example of the operating time computing for a compact sample.

The ninth part presents inferences on the work being accomplished.

1. The causes limiting accuracy of the classical methods for plotting a kinetic diagram are shown. The article demonstrates that the relative error in determining the FCGR through the ratio of finite differences is rather significant and it is not constant in the value of the argument of the V(N) function. Thus, computing the FCGR through the finite differences may lead to a significant error in defining the kinetic diagram and its characteristics.

2. The author introduces and substantiates the assumptions on the qualitative mathematical properties of experimental curves and kinetic diagram. The following properties such as monotony, convexity and the presence of an asymptote are being supposed for the experimental dependence l(N). For dependencies V(N) and V(ΔK(l)), we assume the following properties: smoothness, monotony, and the presence of an asymptote (for V(N)).

3. A new method for plotting a kinetic diagram of the FCGR from the SIF range based on the results of an experiment at the FCGR, with account for the qualitative characteristics of the experimental data has been developed. The said method allows obtaining a kinetic diagram not in the form of a scatter of points, but in the form of a smooth function, which, in its turn, allows considering the kinetic diagram characteristics, as well as some specifics of its behavior, including the first section of the diagram, in more detail.

4. Basic functions, by which experimental data is processed on the FCGR in the proposed method are introduced and studied.

5. Methods for obtaining the kinetic diagram characteristics, describing both the stage of steady growth and the first section of the kinetic diagram, have been developed.

6. The article demonstrates that the first stage of the crack growth may occupy a large part of the cyclic durability.

7. It was demonstrated that a less conservative solution than the solution obtained using only the Paris equation is being obtained with account for the first section of the kinetic diagram when computing the operating time.

The search for optimal methods of interaction with supersonic flows using blown gas jets is an important and relevant area that is currently receiving great attention. In this paper, a detailed study of the mutual influence of a blown argon jets system with an incoming supersonic flow in the computational domain with and without a ledge is carried out. The angle of convergence and divergence of the blown argon jets was varied in order to study its effect on the efficiency of mixing argon with supersonic flow in the computational domain.

In this paper, a detailed study of the mutual influence of a system of blown argon jets with an incoming supersonic flow in the computational domain with and without a ledge is carried out. The angle of convergence and divergence of the blown argon jets was varied in order to study its effect on the efficiency of mixing argon with a supersonic flow.

When the angle is reduced to α = +30°, the argon distribution profile over the volume of the calculated area takes a cylindrical shape and shifts closer to its geometric center, which negatively affects the efficiency of mixing argon with supersonic flow. The addition of a ledge to the upper wall of the design area, which organizes the falling jump of the seal, leads to a restructuring of the shock wave structure. As a result, the cross-sectional area occupied by argon at the exit from the calculated area increases, but the argon flow profile remains the same cylindrical. At a convergence angle of α = - 30°, the area of the passage section at the exit from the design area becomes equal to 35%.

When the blown jets diverge (α = - 5 °- 30), argon is pressed more strongly to the bottom of the calculated area, especially when blown from the side holes. Further downstream, the argon blown out of the side holes expands, moves away from the plane of symmetry and twists as a result of the formation of a pair of large counter-rotating vortices. Further, the argon flow profile expands more and occupies a larger cross-sectional area of the calculated area. Adding a ledge to the upper wall of the design area at the maximum angle of divergence a = -30°. It allows to stabilize the cross-sectional area occupied by argon in such a way that it does not change throughout the entire distance to the exit from the calculated area and is equal to d33%, which shows the best efficiency of mixing argon with supersonic flow.

The paper considers the features of creating physical and mathematical model of spatial motion of viscous incompressible non-thermally conductive liquid in - a hydraulic filter element. Porous mesh materials are artificial porous media formed by several (more than two) flat sheets of metal grids, the fibers of which are rigidly interconnected. The relevance of adequate computer modeling of the functioning of the filter element is due to the need to develop a digital twin of hydraulic system containing such devices. Currently, Russian and foreign industrial enterprises are developing and using virtual analogues of physical processes, products and systems for the so-called predictive modeling of the development of processes and behavior of products and systems. This makes it possible to predict the nature of the features of the course of phenomena of various natures or the functioning of systems long before the occurrence of possible emergency situations throughout their entire life cycle. Based on the LOGOS Aero-Hydro engineering analysis system, theoretical method for determining the coefficient of hydraulic resistance of representative element (quasi-periodic cell) of porous mesh material of arbitrary configuration is proposed, implemented and confirmed in practice by solving the problem of liquid flowing around two-layer structure of the material. A computer model of virtual pouring tests of sample of porous mesh material has been developed, providing a relative error in determining the coefficient of hydraulic resistance of sample of porous mesh material of no more than 5%. The procedure for validating the computer model of nonstationary physical processes in the considered porous structure is described. Validation spill tests of porous mesh material sample confirmed the required level of adequacy and provided the required degree of accuracy of the computer model of the sample under study. The validation uses empirical data obtained from spillage tests of sample of porous mesh material. The simulation results supplement the fundamental theory of studying the hydraulic properties of porous permeable materials. The possibility of using the classical phenomenological Darcy-Forchheimer model of a porous mesh material sample in development of digital twins of pneumohydraulic systems has been confirmed.

The development of rocket engine construction is characterized by an increase in the flight characteristics, service life, reliability and energy efficiency of liquid rocket engines (LPRE), which makes it urgent to improve and modernize the cooling systems of liquid rocket engines. In modern mechanical engineering there is no theoretical and experimental basis and proven analytical methods for calculating the characteristics of additive porous structures and the hydrodynamics of the working environment in the internal volume with full geometric identification of the in-pore space. To increase the service life and energy characteristics of rocket engines, innovative design solutions and new production technologies are being introduced, the combination of which is reflected in the cooling system of a rocket engine with porous structures manufactured by additive manufacturing. A computational experiment and research hydrodynamic tests of the cooling tract of an engine with additive porous structures were carried out. In the course of research using the method of polynomial approximations, the criterion dependences of the viscous and inertial resistance coefficients of a porous structure manufactured by an additive method were determined. The applicability of the laws of the theory of filtration of porous bodies in additive porous structures with full geometric identification has been proven by setting up a mathematical model taking into account the superposition of viscous and inertial drag coefficients. The influence of the degree of anisotropy of the medium on the reliability of the computational experiment using a mathematical model taking into account the superposition of the viscous and inertial components has been established.

This paper is devoted to the development of fundamentally new analytical and approximate methods for studying mathematical models of advection-diffusion using fractional calculus. Obtained results can have applications in various fields of applied mathematics and engineering. In particular, in the design of modern rocket engines (supersonic jet engines). The fractional operators for this problem are considered in the Caputo sense. The problem is solved by the method of separation of variables (Fourier method). In the first section of the paper the theoretical aspects of the problem are presented. An important part of this section is the construction of the basis of the systems of eigenfunctions and adjoint functions of the problem. In this question we strongly rely on the work of Dzhrbashyan and Nersesyan. Taking into account the biorthogonality of such systems and the fact that the adjoint functions are finite in number, for further solution we can consider only the problem in which the adjoint functions are not generated. Passing to the solution of the problem, we consider the system of eigenfunctions of the biorthogonal problem, since the basis of the eigenfunctions of the problem is not orthogonal in . In order to determine the unknown coefficients of the Fourier series, due to the biorthogonality of the systems of functions, we use the scalar product of the corresponding functions. The eigenvalues of the problem are found as zeros of the Mittag-Leffler function. Thus, to solve the problem, we first find several eigenvalues. We construct eigenfunctions and functions of the conjugate problem. Since for an approximate solution of the problem it is sufficient to take only the first few terms of the series, we can construct the solution surfaces by considering only the partial sum of the obtained solution.

The article presents an algorithm developed by the authors, intended for the measuring system, constructed on the annular phased antenna array (APAA), diagnosing. The said array employs micro-strip patches with exponential slot opening (Vivaldi emitter) as emitters, widely employed in radio-technical systems, aviation and rocket engineering. The main advantage of the emitters applied in APAA is the wide range of frequencies, in which this emitter is able to operate without changing its geometric dimensions. A simplified method of the APAA directional pattern mathematical calculation of is considered. This approach allows performing calculations without reliability reduction of the sought-for characteristics of the object being studied, but it does not consume herewith a large amount of computing resources of the equipment, on which computations are being performed, due to a decrease in the number of actions required for the computations. The main parameters diagnosing was being performed by high-frequency measuring equipment, which allows cconducting all necessary measurements, on which basis subsequent conclusions can be drawn. The results of the APAA measured parameters analysis were compared with the results of semi-natural modeling, which confirmed the developed approach operability. The obtained measurement results differ to a small extent from the simulation results in a special software package. The main advantage consists in the ability of analyzing the main parameters of the APAA being diagnosed in real time, as well as the ability for comparing them with the simulation results performed in the software package. Due to this control method prospectivity, the authors plan further improvement of the method by automating characterization of the object being diagnosed.

The article deals with the issue of ensuring the fail-safe of the onboard equipment (OBE) complex of an unmanned aerial vehicle (UAV) with a long flight duration. This trend of research is a relevant aspect in the unmanned systems development. The UAVs find wide application in modern armed conflicts and various sectors of the economy. The number of tasks assigned to the unmanned systems increases annually.

Regardless of the scope of application and class of the UAV, the main property that the UAV must possess is its operational reliability. It is being ensured in various ways, such as redundancy, integration and reconfiguration, but the required values of reliability indicators are not being achieved. Creation of the redundant reconfigurable OBE is the only way to achieve maximum possible reliability of these complexes under conditions of both limited components in use reliability and the impact of a wide range of external factors. Modern approaches to the redundancy management are aimed at ensuring the functions performing of the failed components by the other OBE intact components.

The article describes an experimental technique for functional reconfiguration, which allows optimizing the OBE operation, ensuring its maximum efficiency and functionality. It is based on an adaptive method of the OBE functional reconfiguration, which consists in introducing of an adaptation block that generates functional efficiency indicators (FPE) of components, based on the application of the information about operating modes, operator commands and other external information, as well as information about the technical condition of functional modules based on the fuzzy logic approach.

To test the proposed methodology, a functional the OBE mathematical model was developed, which was realized in the MATLAB interactive environment for programming and numerical calculations with special tools for analysis, design and fuzzy logic systems modeling - Fuzzy Logic Toolbox. Operation of the said technique is considered on the example of the one of the OBE computer failure, of which results in the redistribution of tasks between the computers, which increases the probability of the combat mission completion.

The methodology and mathematical model of the adaptive functional reconfiguration of the UAV OBE proposed in the article allows defining the PFE configurations of the OBE components based on a fuzzy logic approach, which in its turn allows completing a combat mission without losing the computational load with the available resources of the UAV OBE components.

The article describes a technique that combines a priori (additional) information and current monitoring data from testing space assets to achieve the goal of selecting and achieving a better assessment of the object.

The proposed method is based on the mathematical apparatus of dynamic Bayesian networks, as well as the basic concepts and connections of reliability theory and technical diagnostics of systems. The initial data is information about the spacecraft elements technical condition during test monitoring, information about reliability (structural and logical diagrams, component failure rates) of technological equipment, as well as linked models for diagnosing various types of technical condition and signs of diagnosing component faults.

The article proposed to use the selection method in a dynamic Bayesian network to identify inconsistencies between products and devices in the process of monitoring and technical condition diagnosing of the technological equipment components and describing the its process dynamics.

A posteriori inference allows combining heterogeneous initial information and newly received data to obtain a comprehensive assessment of the technological process and the state of the technological device, so that the expert may make an better decision on whether continuing or suspending the technological process, if errors are detected, and take measures to eliminate them.

The advantage of this technique is its ability to account for a priori heterogeneous information, especially the format of the subjects under test representation and the results of control experiments.

The article presents this method implementation for controlled studies on a limited sample collection. This capability is being demonstrated based on the results of random inspection tests, which estimate the expected cost of a defective product in the entire lot with sufficient objectivity to make random inspection decisions.

The method under consideration combines a priori information and data obtained from test results, which, when compared, allows achieving the necessary accuracy in identifying product defects.

The proposed method may be employed by the specialists when conducting system monitoring and testing activities to increase the efficiency of selection and defective products identification.

Fighter aviation plays an important role in ensuring security and sovereignty of the Russian Federation. Modern Russian fighter aircraft are equipped with the onboard radio-technical complexes, on which the success of the assigned missions accomplishing largely depends. One of the main elements of any radio engineering complex is antenna, to which a number of requirements for primary signal processing is placed. Adaptive antenna arrys relate to the antennas allowing signal processing performing. The theory of adaptive antenna arrays has currently developed only for the narrowband, and more precisely for the harmonic signals. However, modern realities dictate the need to employ signals with a wider spectrum, which makes the theory of adaptive antenna arrays ineffective for such signals. Nevertheless, the developed theory of harmonic signal processing became the basis for the development of the theory of broadband signal processing in adaptive antenna arrays. The frequency representation of the signal, but not the time representation, is taken herewith as a basis. Analytical relations to form optimal weighting coefficients in the frequency-dependent processing channels of the adaptive antenna array were revealed. Implementation of the optimal weighting coefficients is impossible in practice due to the continuity and infinity of the broadband signal spectrum. However, the optimal representation allowed formulating an approach to finding quasi-optimal weighting coefficients, which essence consists in finding the optimal vector of weighting coefficients at certain frequencies of the spectrum of a useful broadband signal and its interpolation at other frequencies of the spectrum of a useful broadband signal by various interpolation polynomials. The frequencies herwith, at which the vector of weighting coefficients was optimally determined, were selected arbitrarily with the same discrete interval without accounting for the spectral structure of the useful broadband signal. However, the analysis demonstrated that at the frequencies, at which the spectral density of the useful signal is low, the interference signal is most effective and vice versa. In this regard, a method that accountы ащк the spectral density of the useful signal when forming quasi-optimal weighting coefficients has been developed. This method allows to distributing rationally optimal weighting coefficients over the spectrum of a useful broadband signal and adapting to the interference signals more efficiently.

In modern control and information processing systems of aerospace aircraft, the use of whitebox switches with open network operating systems based on ASIC network chips as a network infrastructure is gaining popularity, thanks to which various network functions become available, independence from network equipment manufacturers appears. At the same time, the functioning of such devices and the principle of processing network traffic have their own characteristics that should be taken into account when operating white АВТОРЕbox switches. The purpose of the study: to identify the features of network traffic processing in whitebox switches and to develop some recommendations for their elimination. As a result, this article analyzes the hardware and software architecture of network equipment, as a result of which it is revealed that the architecture of a network device consists of a data transmission layer (Data plane) and a control plane. The Data plane layer is represented by an ASIC network chip with SDK and SAI tools. The Control plane level is represented by a CPU chip with a Kernel Routing (Linux) tool and a CLI. Also, as a result of the operation of whitebox switches, such traffic processing features as the desynchronization of Kernel Routing and ASIC, a violation of interface configuration logic and a decrease in port throughput were revealed. To eliminate these shortcomings, some recommendations have been developed, according to which, in order to successfully process traffic in whitebox switches, it is necessary to control the interface configuration on ASIC ingress pipelines, check the synchronization of Kernel routing Linux and ASIC. To maintain the required packet throughput, it is necessary to monitor the correctness of specifying egress interfaces and next-hop when processing traffic from

The premises probing radars are mainly applied for detecting people, determining their number, location and trajectory of movement indoors. As in conventional radar, human detection procedures are based on threshold signal processing methods and reduced to the primary target markers forming. Here, however, the specifics of the operation of wall-sensing radars are manifested, associated with the presence of strong interference noises indoors (due to the signals re-reflections from walls, floor, ceiling, furniture) and leading to origination of a large number of false targets and abnormal values of the measured coordinates of targets.
Under these conditions, traditional algorithms for constructing plottingt trajectories based on Kalman filtering methods require modifications that account fort the presence of abnormal measurements and allow obtaining smoothed target trajectories close to the true ones.
The purpose of the article consists in developing an algorithm to plot a smoothed trajectories of people moving indoors based on the results of primary target markings, in which the of target coordinates abnormal measurements impact will be completely compensated or significantly suppressed.
The developed algorithm is based on the Kalman filtering procedure for a limited sample of measurements applying a linear model of target movement and trajectory approximation by a piecewise polyline. The abnormal measurements elimination is achieved herewith by the median estimate of the trajectory parameters instead of the arithmetic mean one.
In the time interval, several marks about the position of the person are obtained. These marks are being approximated by a linear function with the least squares method. After that, averaging of the mark located on the approximated line is performed.
The article considers two options of averaging, namely by the arithmetic mean and by the median value. The trajectory of human movement is being modeled in the form of a curved line with abnormal emissions superimposed on it. Trajectory smoothing by the median value gives much fewer outliers than that by the arithmetic mean, about two fold.
Thus, the article describes a method for developing an algorithm for the smoothed target trajectory forming, in which, a median value is being used instead of the arithmetic mean averaged values of trajectory parameters. 
Statistical modeling demonstrated that in the case of interference noises leading to the abnormal errors occurrence in measuring targets coordinates, the proposed method allows significantly reducing the value of the RMS error of the target approximating trajectory by 1.5–2.5 times. A pollution model was employed herewith to simulate interference with abnormal values.

The article presents the main stages of the development of a digital twin for a ground-based radio navigation system. A model-oriented design approach is chosen as the methodology for development. The mathematical modeling environment Engee is used as a tool to implement a ground-based radio navigation system.
The article also describes the basic components of the ground-based navigation system and presents the main results of modeling and processing output signals. Modeling is an essential stage in the development of any radio engineering system, as it provides a general understanding of the system, components, or sets of components. A digital twin (CD) is a virtual representation of a specific radio engineering system that can be used for testing and analysis.
The first stage of the development process for a digital twin follows the principles of model-oriented systems (MOS). The ground-based radio navigation system serves as the focus of research in this stage.
The article discusses the first stage (virtual prototype) of the development of a CD based on the principles of MOS, where the ground-based radio navigation system (RNS) acts as the object of research. As previously mentioned, there may be no OP at this stage of development.
The interest in ground-based RNCs is due to the fact that in critical situations regional and mobile ground-based military systems are more effective and less vulnerable than satellite systems, in addition, the manufacturer of the global GPS satellite system reserves the right to degrade the civil code over any areas of the earth's surface, which significantly reduces the scope of GPS. The task of determining the proper location of objects is actively solved in the navigation of ships and ships, as well as by increasing the noise immunity of the receiving and transmitting path.

Such aircraft striking means as missiles, projectiles, aerial bombs can be effectively used only if they function together with their target guidance system. When building criteria for the effectiveness of guidance systems, the important role of these weapons on the battlefield should be taken into account, as well as the requirement of high reliability of their delivery to the target. High efficiency of guidance systems can be achieved by applying advanced mathematical models of the guidance system control circuit. The created mathematical models and missile guidance algorithms must be tested using all possible optimization procedures. Such requirements are relevant not only for external guided missile guidance systems, but also for projectile homing systems and unmanned aerial vehicles. The presented article is devoted to the analysis of extreme operating modes of a semi-active guidance system of an optically guided missile at a target. The case of a heat-emitting target and the use of pyroelectric sensors is considered. Two modes of operation of the system are analyzed: (a) there is a restriction on the movement of the emitter towards the target, (b) there is a restriction on the movement of the missile launcher towards the target. In the first mode, the functional dependence of the distance of the emitter to the target on the independent variable is determined when the functional of the target reaches a minimum. In the second mode, the functional dependence of the distance of the rocket launcher to the target on the independent variable at which the target functional reaches a minimum is determined. The identified two modes are characterized as extremely undesirable, which should be avoided.

The presented article analyzes the basic methods of the compressor characteristic representation in aviation GTE (gas-turbine engine) mathematical model (ЕММ). It considered specifics of their realization in the approximated and tabular forms, and marked advantages and disadvantages of both methods
When setting compressor characteristics in the approximated form, a work on processing the characteristic at hand, obtained, for example, by computing, or as the result of the compressor off-line tests, should be performed prior to the computation of the engine itself begins. Moreover, although this procedure is automated nowadays to a great extent, which somehow simplifies this process, the complete lack of visibility of the obtained results makes this method inconvenient in many cases. Besides, even for the trifle correction of the compressor characteristic (such as adding and/or excluding a few points) the whole process of the characteristic processing should be repeated anew, which certainly complicates (at least prolongs in time) the process of the gas turbine engine parameters and characteristics computing.
Besides its obviousness (initial data file contains straightforwardly the values of the compressor parameters), the tabular form of characteristics setting allows, if necessary, correcting one or several values of this or that parameter directly in the initial data file, which simplifies to a great extent the process of the aviation engine parameters and characteristics computation.
However, in both cases of the EMM characteristics setting in classical representation one has to deal with rather complex non-monotonous dependencies  with both vertical and horizontal sections.
The authors propose a new approach to the compressor characteristics formation, which allows forming the lines of characteristic in the form of the smooth monotonous dependencies close to straight ones. Compared to the complex curves for classical representation of the compressor characteristic, these dependencies are much easier to approximate and-or extrapolate while employing them in the EMM.

The task of navigation and guidance of the object – guided gliding parachute system to the target is one of the most important in the theory and practice of guided parachute systems. The problematic part of this task is navigation and guidance in automatic mode under conditions of complex terrain relief and difficult wind conditions in the guidance zone. The presented article provides an example of developing a method and constructing a mathematical model for targeting the object – controlled gliding parachute system at a target, with account for the terrain relief in automatic mode (in radio silence mode). A program for the system navigation and guidance to the target point for the onboard computer has been developed.
The mathematical model of the flight program with account for the terrain relief is based on a system of six differential equations of the system motion, with regard to a number of communication conditions for the moments of roll and yaw, the angular velocity of rotation in a U-turn and the angle of roll. Solution of the said problem requires herewith the the following preliminary initial data loading into the onboard computer:
1. Topography vertices coordinates and equations of the flyby obstacle level lines.
2. Coordinates of the landing point behind the obstacle.
3. Building a flight route.
It is necessary to set the altitude, speed and course of the object-SCP system at the starting point of the flight path to build a flight route.
The flight route is being built by the terrain map. The trajectory marking is performed by sections and times of their achieving.
The course to the beginning of the trajectory section is being selected. The entire trajectory consists of the simplest components such as rectilinear flight and U-turns or turnovers (left or right) at a given angle, depending on the direction of the obstacle fly-around. The relative altitude of the flight herewith is constantly monitored, with account for the obstacle level lines (mountains), to avoid an unauthorized landing with an undershoot to the target. That is, the vertical section of the flight path is accounted for (projected) in advance as well.
The flowchart of the program algorithm is as follows.
1. Initial data loading.
2. Computing initial conditions and characteristics for the time instant of the steady-state flight mode commence.
3. Plotting the flight path by the method of division into sections and designing the flight program.
4. The Runge-Kutta method implementation for solving a system of differential equations of ballistics.
4.1 Entering the UPR flight control unit.
4.2 Entering the OMEG module if necessary; computing the angular velocity of the turn and the angle of roll.
4.3 Computing current ballistic parameters and coordinates of the system position at each time instant with regard to the terrain relief.
5. Plotting graphs of the ballistic parameters functions and the flight path of the system.
In its final part the article provides information on the possible improvement of this terrain obstacle avoidance program, with account for the difficult wind situation in the flight zone, which will require additional information about the wind situation in the flight zone and its introduction into the program of automatic control and guidance of the object-UPP system to the target.

This article examines the use of a qualitative approach in the analysis of wave phenomena, the features of studying waves as a qualitative aspect, and the introduction of new approaches in the analysis and synthesis of waves. The authors note that most pattern recognition systems based on wave phenomena use classical mathematical methods for modeling and analyzing data, focusing on quantitative characteristics. However, this article raises the question of a qualitative assessment of the data obtained and their content, and also considers the possibility of using a qualitative approach in disclosing the information content of data flows of wave phenomena. The dissection of such content is the basis for speech recognition or integral, informational analysis of complex natural phenomena based on the consideration of wave signals.
The article proposes a logical-linguistic method that allows you to automatically describe the flow of wave data using a system of relationships and create structured data models and describe the data flow of wave phenomena as a sequence of structures acting as the initial alphabet of signs.
 Structures have been developed and used to describe wave flows and create unique algorithms.  Practical results include structuring sound streams, compacting information, watermarking, voicemail, and other technological advances. Practical application in the field of aviation and rocket industry takes place in the field of communication and data storage, as well as fixation of measuring instruments, where wave fluctuations are possible for their subsequent analysis.
In conclusion, the article offers a new approach to the analysis and synthesis of wave data based on a qualitative assessment of the data content, which opens up new prospects for the field of wave research and their applications.

The issues of flight reliability aerodynamic ensuring occupy special place while solving the problems on the UAV design. The basic factors affecting the UAV flight range, such as flight altitude, velocity, wind impact, propeller operating efficiency, are being considered in the MALE UAV robust design method. Accounting for these factors in the robust design method, which includes both optimization and probabilistic analysis performing is a substantial advantage of the robust approach compared to the conventional optimization without accounting for random factors. The purpose of the presented work consists in further improvement of the robust optimization process by extra optimization procedures introduction into it to account for some random factors impact on the quality target of the UAV operation. The article adduces the problems of the UAV robust design in terms of minimizing the normalized random component of the UAV real key figure at the given goal value of the same indicator with account for the random affecting factors (flight speed, flight altitude). The authors computed marginal optimal ratios of random component of the given goal value and derivatives of the basic figure by random factors at which the optimization goal function random component reaches its minimum.
The obtained results allow selecting separately the values of pairs of computed indicators according to a certain rule, allowing minimizing the random component of the value of the objective function of the optimization under certain specified restrictive conditions for the desired functions of the introduced relationship of indicators. New optimization problems of the conceptual unmanned aerial vehicles development have been formed and solved in the context of the well-known MALE UAV methodology. To account for the impact of such random indicators as altitude and flight speed on some basic UAV performance indicator, the task of the random component minimizing of the UAV target function estimate. The values of the selected pairs of indicators are determined, allowштп minimize the random component of the objective function value.

The article adduces description of development and implementation of an algorithm for transforming coordinates of objects captured in an image from the camera installed on an unmanned aerial vehicle, as well as the development of a simulation employing the Unity engine to test the written algorithm and verify the obtained world coordinates.
The purpose of the presented article consists in developing and implementing an algorithm for converting coordinates of objects in pixels into the world geographic coordinates of the EPSG3857 (Google Mercator) and EPSG4326 (WGS84) formats, which are the most common in the modern world. The developed algorithm will allow computing geographic coordinates of detected objects, knowing their coordinates in pixels and geographic coordinates of an unmanned aerial vehicle equipped with a GPS sensor for its location monitoring.
The authors employ mathematical foundations of coordinate transformation, as well as the Python programming language to perform basic mathematical operations, and the Unity game engine to simulate the flight process of an unmanned aerial vehicle and transfer images from the camera to a Python script. A scene for the algorithm testing was built with the Unity engine. Using the C# language, the information necessary to the coordinates computing is collected and transferred to a microservice running on the Flask and processing images with a neural network that is trained for the task of road damage detecting.
The work was performed employing well-known and easy-to-learn libraries and software provided with enough tutorials for quick implementation of the project. Computer vision and machine learning technologies are applied as well, which emphasizes the relevance and scientific novelty of the research being conducted. Implementation of the algorithm allows efficient processing of the data received from unmanned systems and enhances the possibilities of their application in geoinformation and research tasks. The developed algorithm may be applied in various fields, including navigation, cartography, geographic information systems, as well as in the research related to the unmanned systems and aerial photography.

This paper discusses the problem of determining the limitations of rational function sensor model. Rational function model (RFM) is a generalized sensor model; it approximates the complex rigorous sensor model by utilizing a multitude of parameters (coefficients).
Various algorithms exist for calculating RFM parameters based on different approaches, such as solving the linearized approximation problem and integral method. In a best-case scenario most of the algorithms perform similarly, providing decent results. However, for more complex shooting parameters calculation algorithms are affected by input data differently and provide varying approximation quality. Separating the model approximation limits from the algorithm constraints is not trivial.
For a polynomial fitting in the one-dimensional case the theorem of de la Vallee-Poussin can be used to obtain lower estimate on the accuracy of the best uniform approximation. This theorem was generalized to a wider class of functions including rational functions of a single argument. This paper proposes an approach of obtaining lower estimate of the accuracy of uniform approximation by rational functions of multiple arguments. This approach is based on the selection of a subset of the estimated region consisted of segments. For each of those segments the multiple argument problem can be substituted by a single argument problem. Next, the generalized theorem can be applied to find the lower estimate of the error of uniform approximation.
This approach is applied to the georeferencing problem. The method of estimating the influence of the scene extent on the approximation accuracy is described. The presented results are validated using the real remote sensing satellite data.

The problem of finding an approximate optimal control for deterministic control systems with incomplete feedback on measured variables described by ordinary differential equations is considered. The initial conditions are given in the form of a set of initial states, so the problem of controlling a pencil of trajectories generated by this set and the control law used is considered. To describe the set of initial states, as well as the position of this pencil over time, smooth finite functions are used, the values of which characterize the density of traces of trajectories inside the pencil.
This task is relevant because it allows you to cover a wider class of applied problems. The uncertainty of setting the initial state of the system or the lack of complete information about the state of the system is often found in practice, for example, due to a malfunction of measuring devices or an error in the measurements obtained.
Sufficient conditions for е-optimality are formulated and proven, expressions are obtained for finding an a priori estimate of the proximity of the desired control to the optimal one, and a method for parameterizing the problem of satisfying sufficient conditions based on the spectral representation of unknown basis functions is proposed. A step-by-step algorithm for searching for approximate optimal control using sufficient conditions and multi-agent  optimization algorithms is presented. Based on the proposed approach, software to analyze the effectiveness of this approach has been developed. Two model examples are solved, in which estimates of the proximity of the control laws to the optimal solution are obtained and the results of an analysis of the behavior of the corresponding pencils of trajectories are presented.

The reliability of spacecraft (SC) flight control depends on making optimal and operational decisions on issuing command actions to the SC. Practice shows that in some cases, only issuing immediate execution commands can prevent the development of emergency situations (ESS). The correctness of solutions to such problems is increased by using artificial intelligence methods as part of the ground control complex (GCS), the use of which is aimed at accelerating the processes of identifying anomalies, increasing the accuracy and completeness of recognition of GSNs in the operation of on-board spacecraft systems, and reducing the influence of the “human factor”. The article examines the state of control technologies currently used in flight control of modern spacecraft. The main shortcomings of the control process are formulated, which are increasing taking into account modern trends in the development of space programs.
An intellectualized system for monitoring, diagnosing and predicting the state of on-board spacecraft systems is proposed, based on the use of artificial neural networks (ANN) technology, which includes a system for analyzing telemetric information (TMI) using artificial neural network technology (application stage) and a system for synthesizing artificial neural networks, preparing training and test data sets, training and creating computer applications (training stage). For each component of the spacecraft, the use of a set of neural networks based on a single platform is provided. The neural network synthesis system is an artificial intelligence (AI) platform and is intended for the creation, development, testing and technical support of neural networks, and is focused on minimizing specific tasks in the field under consideration, such as data collection, organizing machine learning processes and deployment for various scenarios use.

The problem of motion of a heavy nonhomogeneous ball on a fixed smooth horizontal plane is considered. This problem is similar in many aspects to the classical problem of motion of a heavy rigid body with a fixed point. Both of these problems can be represented in the form of Hamiltonian system with two degrees of freedom. For integrability of both of these problems, only one additional first integral is needed. The equations of motion of both problems have the energy integral and the area integral. There are known integrable cases in the problem of motion of a ball, similar to the Euler – Poinsot, Lagrange and Hess integrable cases in the problem of motion of a heavy rigid body with a fixed point. In this paper, we study the integrable case of the problem of motion of the ball, similar to the Hess case. Equations of motion of the ball are written using the special coordinate system, originally introduced by P.V. Kharlamov to study various problems of rigid body dynamics. The study showed that the equations of motion of a nonhomogeneous ball on a smooth plane in the Hess case and the equations of motion of a heavy rigid body with a fixed point in the Hess case have similar properties. In particular, it is shown that, as in the classical problem of the motion of a body with a fixed point, a qualitative description of the motion of a ball on a smooth horizontal plane is reduced to the integration of the second – order linear differential equation, and at the zero level of the area integral the equations of motion of the ball can be integrated in quadratures.

Vibrational effects are, on the one hand, of great significance in realizing the processes of the parts hardening, the granular mixtures unmixing, ores transportation, granule materials dosing executed by technological units in various industrial brunches. On the other hand, they should be accounted for while creating vibration protection systems of transport and technological machines of various purposes including vibration machines and equipment.
The purpose of the developed scientific and methodological approach is the formation of dynamic states of dyads and the assessment of their dynamic properties under conditions of vibration loads based on generalized energy ratios that take into account lever and elastic bonds.
The methods of theoretical mechanics, theory of differential equations, integral transformations, system analysis and structural mathematical modeling based on comparison of mechanical oscillatory systems used as calculation schemes of technical objects, structural schemes equivalent in dynamic terms to automatic control systems are used.
A scientific and methodological basis has been developed for evaluating, forming and correcting the dynamic states of the dyad, considered as a reference element, using energy characteristics that account for the lever relationships and elastic connections between partial systems and external disturbances.
It is shown that a number of dynamic features of the dyad significantly depend on the frequency of the external disturbance and the characteristics of the device for converting motion. The properties of the dyad are established, reflecting the dependence of partial and natural frequencies, for the analysis of which frequency energy functions are introduced, reflecting the features of accounting for potential and kinetic energies in the system depending on interpartial connections.

The scientific research is devoted to the problem of calculating thick-walled axisymmetric cylindrical shells under conditions of hydraulic autofreting by internal pressure. The known analytical solutions to the problems of pipe autofreting in most cases do not take into account the conditions for the occurrence of secondary plastic strains during unloading. The purpose of this study was to evaluate the effect of the Bauschinger effect and material hardening, as well as the geometric parameters of the cylinder and the magnitude of the plasticity region in the wall of the cylindrical shell on the conditions of secondary plastic strains during unloading. The paper considers a model of the behavior of the material under alternating loading, taking into account the hypotheses and assumptions made in solving the problem. An equation is obtained that allows us to determine the conditions for the occurrence of secondary plastic strains depending on the listed factors. Within the framework of numerical calculations, it is concluded that the size of the plastic region in the cylinder wall has a significant effect on the occurrence of secondary plastic strains during autofreting. The results of numerical calculations for an ideal elastoplastic material are presented. According to the results of the study, with an increase in the hardening modulus and a decrease in the Bauschinger effect coefficient, the ratio of the outer radius of the cylinder to the inner one, at which secondary plastic deformations may occur during unloading during autofreting, can significantly decrease, and with a decrease in the overvoltage coefficient – increase.

The article regards the initial stage of an aircraft landing, particularly the Yak-42 aircraft, as a dynamic process of a multi connected nonlinear mechanical system. Despite the measures taken by pilots on dampening vertical speed and angular oscillations of the aircraft during landing under the impact of the external factors, such as wind, or factors determined by the design properties of the aircraft or its components, there is a possibility that the landing speed may be exceeded and unacceptable angular oscillations occur. Such deviations, arising at the initial stage of the process under consideration, affect significantly the subsequent aircraft movement along the airfield.
A numerical method developed by the authors, based on the 4-th order Runge-Kutta method, was applied for this process dynamics studying. This method allows studying dynamic processes in almost any system containing any number of nonlinearities, including significant ones. To develop a mathematical model of the process, the method developed by the authors for analyzing motion speeds and stresses is used as well.
A system of linear differential equations has been compiled to describe the movement of different parts of the aircraft airframe. Based on this system of equations, a system of right-hand sides of the equations was compiled. When developing the computational programm the system was supplemented with nonlinearities, such as nonlinear friction in the supports (chassis), nonlinear aerodynamic impact on the aircraft airframe parts.
The movement of the consoles was considered from the conditions of deformation under the action of concentrated forces, reduced to the position of the average aerodynamic chord. The article presents the modeling algorithm. Computed oscilloscope patterns, characterizing the initial stage of landing, were obtained while modeling. Computing process is limited by the physical time for the object in question, equal to one second. Besides, the computation did not account for the change in the supports elasticity caused by the specific dynamics of the aircraft landing gear.

The presented article has studied the problem of radial bearing rollers barreling in detail. It is indicated that due to the edge effect, occurring in roller bearings in the ring-roller contact, concentrations of contact stresses originate at the ends of the rollers, the value of the latter herewith may be several times higher than the Hertz ones, in which concentrations of stresses are not being accounted for. Owing to this phenomenon, the load capacity of the bearing is drastically reduced. It is noted that one of the effective methods to countereact this phenomenon in roller bearings is the rollers barreling, and in this case, the problem consists in determining the “barrel” radius.

To solve the problem analytically, the author employs his previously proposed method for the contact parameters determining during interaction of the two circular cylinders under conditions of a skew angle. For this method application, the end sections of the roller are replaced with discs of different diameters. Practically speaking we get a stepped roller. However, as the thickness of the roller tends to zero (or their number to infinity), the surface of the roller is smoothed.

Further, a system of equations, namely the compatibility of deformations, displacements and gaps, on the one hand, and equilibrium, on the other is being compiled.

The obtained system of equations was solved in this work analytically. The optimal radius of the roller “barrel” has been obtained, which ensures the absence of the contact stresses concentration at the ends of the roller, which indicates an increase in the load capacity of the roller bearing.

The results may be employed in the design of rolling-contact bearing with increased load capacity.

The article deals with the hydroelasticity problem formulation for the two coaxial cylindrical shells of the Kirchhoff-Love type, containing a viscous incompressible fluid in the annular gap and in the inner shell. The material of the shells is considered as incompressible and of a nonlinear law of stress-strain relationship and strain intensity. The shell dynamics equations are obtained for the case when this law has a tough combined nonlinearity in the form of a function with a fractional exponent and a quadratic function. The viscous fluid dynamics are being considered in the framework of the hydrodynamic theory of lubrication, i.e., the fluid motion is assumed to be creeping. The asymptotic analysis of the formulated problem of hydroelasticity is performed applying the two-scale perturbation method. As the result, a system of two evolution equations for modeling the onlinear longitudinal strain waves propagation in shells is obtained. It demonstrated that in the case of incompressible shell material, the presence of viscous fluid in the inner shell does not affect the wave process. The equations of the system represent the Korteweg-de Vries-Schamel equations. The exact partial solution for the obtained system of evolution equations in the form of a solitary wave with an arbitrary wave number is found for the case when that wave propagates in each of the shells. The new difference scheme for the nonlinear system of two generalized Korteweg-de Vries-Schamel equations based on the application of the Gröbner basis technique is derived for numerical simulations. Computational experiments have been perforomed to study the evolution of solitary longitudinal strain waves excited in shells. Numerical modeling has revealed that solitary nonlinear strain waves in the shells are supersonic solitons, as well as the presence of the energy transfer from one shell to another due to the fluid viscosity between them.

An integral trend in modern mechanical engineering is to increase the efficiency of manufactured products. In aircraft such as airplanes, this could be achieve by reducing the weight of the structure, which is achieved through the using of skins and panels, which are thin shells that are not capable of independently carrying any small load. Therefore, to increase rigidity, they are additionally fixed. The analytical approach to problems with large plates or shells with a large number of additional supports has many difficulties due to the size of the resulting system.

The main objective of the new proposed method is to obtain analytical relationships between the type of external load and the location of additional supports based on the conditions of structural rigidity. The problem solving in several stages and uses well-known mathematical methods.

The first step is to determine the maximum size of a single segment of the structure that satisfies the required stiffness condition. For universality, the problem is solved using the influence function (Green's) and the system's response to a unit load is obtained in the form of the Dirac delta function.

The second stage is to determine the location of only four (and in a non-stationary setting, only two) additional supports. The solution is the maximum value of the radius of the location of the fastenings that satisfy the condition of structural rigidity.

At the third stage, the required number and location coordinates of additional supports calculating for the entire structure as a whole, with possible adjustments to the sizes of the resulting segments.

The last stage can be numerical verification using modern modeling and calculation methods.

The undoubted advantage of the proposed method is its analytical form of solving the problem, which allows the method to using for various geometric and physical characteristics of the plates, as well as to apply an arbitrary load to any place. In general, the technique could be extend to curved shells. This will require the transition of the equation of motion of the structure to the local coordinate system of the shell, which will subsequently allow the shell to be “unfolded” into a rectangular plate. At the same time, the analytical form of solving the problem, as well as the essence of the technique and its advantages, are completely preserved.

The spaceships, which are expected to fly over the next decades, include large structural assemblies. The largest of them is a refrigerator-radiator, which length may exceed one hundred meters. Its load-bearing base should be a frame made of beams of various cross-sections: round, box-shaped and triangular. At present, carbon-based structural materials are considered the most suitable for the beams manufacturing. They demonstrate high mechanical, acceptable technological properties and they are of low density as well. The carbon-based materials specificity is that they exhibit various properties under tension and compression. Such materials are commonly referred to as multi-modular. Obviously, the difference in modularity manifests itself while bending as well. The article considers the stress state of bent solid and thin-walled beams of triangular cross-section. It leads to certain difficulties at stress computing, since the neutral section line position while bending depends on the ratio of Young modules under tension and compression. The problem under consideration is being solved in the article by the analytical method. The cross-section of the bent beam is being divided into two zones by a neutral line. Tension stresses are acting in one of the zones, while compression stresses are acting in the other one. An equilibrium equation is drawn up and formulas for the operating stresses computing are derived. Structurally, the article is divided into five parts and consists of an introduction, analysis of stresses in a bent beam of solid triangular section, the same analysis of a beam of thin-walled triangular section, examples of computing and conclusions. When analyzing the stress state, the K function is used, depending on the ratio of Young's modules for tension and compression, on the shape and size of the beam section, as well as on the neutral line position. The article presents formulas for determining maximum stresses in the cross sections. It includes five figures depicting the view of the refrigerator-radiator section, cross sections of solid and thin-walled beams, graphs of K functions for such beams. The examples include comparative results obtained with and without account for the actual position of the neutral line in the beam section. Conclusions present recommendations on the requirement to account for the difference in modularity of carbon-based materials, which may be useful in engineering practice.

The presented article considers specifics of the aircraft lifting systems with winglets optimizing with a restriction on the geometry deformation of the base wing. The presented numerical approach to aerodynamic design allows increasing the aircraft aerodynamic lift-to-drag ratio by reducing the lifting system drag in the cruising flight mode. The drag minimization problem is focused in this article on the induced drag reducing, which is stipulated by the shroud of free vortices. The well-known Munk's stagger theorem application allows correctly compute optimal distribution of the circulation intensity in the Treftz plane and, as a consequence, find the minimum induced drag. The numerical approach to optimization is based on the idea of the aircraft lifting system replacing with a system of the discrete U-shaped vortices. According to the Munk's theorem, lifting vortex systems can be translocateed along the free-stream velocity into one vertical plane with the the air load retaining (velocity circulation) along the wingspan, which ensures an optimal solution along the lifting system. However, in the case of employing this approach for a long-range aircraft, with mainly swept wings and high subsonic cruising speeds, there is an intensive increase in the air load in the end wing sections, which increases even more, when induced drag is minimized over the entire lifting system (full optimization). This leads to the earlier compressibility stall development or the aerodynamic shock stall. In such cases, optimization of only a part of the lifting system (partial optimization) is possible, where the basic wing geometry is fixed, and the induced drag minimization is being performed on account of special wingtips or the winglets installing. In the case of the partial optimization, a fundamentally new approach, formulated in the form of a new numerical method, which accounts for the mutual interference of the wing and the winglet, both separately and on each other is employed. At the initial stage, the known initial geometry of the base wing is used and the initial geometry of the winglet is specified. Then, using a direct computational program (AEROJET program, based on the Morino’s panel method), the initial air load distribution along the wingspan and the winglet span is being determined for a given lift coefficient. This condition of retaining the air load distribution nature along the base wing span serves in a first approximation as a condition for the invariance of its geometry. The load distribution along the winglet span (wingtip) is being optimized and its geometry is being determined based on the obtained data by the proposed numerical method using the direct computational program (AEROJET). Since in view of the changes in the winglet geometry, the air load distribution along the base wing does not correspond to its geometry, the iterations continue until convergence is reached. With the new numerical approach application, optimization and aerodynamic design of the model of the advanced technology demonstrator aircraft, developed at the Siberian Aeronautical Research Institute named after S.A. Chaplygin, were performed. The aerodynamic lift-to-drag ratio increase was obtained due to the optimized winglets installation and was about 8.8%. To assess the of viscosity effect on the wake vortex computing, comparison of the results obtained by the AEROJET program (non-viscous fluid) with the results of computations by the OPENFORM program, based on the averaged Navier-Stokes equations (viscous fluid) were performed. The study of the wing model in the framework of the viscous fluid was performed with two turbulence models namely Spalart Allmaras and k–ω SST. The ordered computational grid with the corresponding block structure has a total number of elements - 10 million cells, the number of cells on the profile is 342 pieces. When analyzing the results, a good agreement between the computations for both turbulence models and with the results obtained by the new numerical approach with the correct adjustment for flow viscosity when making estimates is marked.

This paper deals with the free oscillations of a rotating ideal cryogenic liquid inside a cylindrical tank with rigid walls. Cryogenic liquids are characterized by non-uniform temperature and density changes during operation and storage. The most significant stratification of the cryogenic component occurs in the direction of the external mass force field. To investigate the motion of this mechanical system, it is reasonable to use a stratified incompressible fluid model. The proposed work is devoted to the study of free oscillations of stratified fluid in a cylindrical tank, fully or partially filled with fluid rotating with small and large angular velocities. Calculations of eigenvalues of free oscillations of a rotating cryogenic liquid at a given buoyancy frequency for internal and surface waves in the form of graphs are given. In science, nature and various technical applications, rotating fluids occupy an important place. They are widely used in engineering, for example, in centrifuges, hollow shafts of liquid-cooled turbines and in stabilizing the rotation of rockets. Currently, there is a growing interest in the study of vibrations of cryogenic fluids filling finite-sized vessels used in various applications. The obtained results show that different types of waves can be observed in a rotating stratified fluid at both low and high rotational velocities, depending on the magnitude of the numbers  . The natural frequencies of these waves depend on the ratio of buoyancy forces and Coriolis inertia forces. The presence of stratification leads to an increase in the frequencies of free oscillations of the fluid for internal and surface waves. The study of oscillations of a rotating stratified fluid has shown that the spectrum of oscillation eigenvalues consists of two sets of real numbers: a two-index set   for surface waves (at low rotational velocity) and   (at high rotational velocity), and a three-index set   for internal waves.

The article considers the process of information radio exchange in the aviation complex under conditions of a complex interference situation, when the input of the receiving unit receives not only a legitimate signal but the signals with the parameters adequate to those of a legitimate signal except the parameters carrying valuable information. The purpose of the research, which results are presents in the article, consists in the noise immunity increasing of the data transmission radio system of aviation complexes in a complex interference environment. Selection of the Doppler frequency of the signal as an additional sign of interference is substantiated. The interference detection probability was selected as the noise immunity indicator. The interference detecting condition is defined. The author developed a model of informational exchange in complexes under interference conditions with account for the Doppler shift of the carrier frequency The model is complex and includes an analytical model, on which basis the simulation model was developed. The presented simulation results indicate the possibility for interference detecting with varying degrees of accuracy based on the statistical approach. To implement the proposed approach, the algorithm for the interference impact detecting on the dynamic object is developed, based on tracking the Doppler frequency of the received signal at all points of the flight path. The existing methods of non-cryptographic protection of information transmitted throug the radio channel of modern aviation complex from interference ensure a probability of interference detecting not greater than 0,75. To increase the interference detecting probability, the author proposed to evaluate the information exchange stability based on tracking the Doppler frequency of the signal and interference, of which implementation allows achieving a noise immunity index of a least 0,99.

Trends in the development of artificial intelligence technologies, their introduction into complex technical systems such as robotic complexes, unmanned aerial vehicles, minimizing the human role in the process of analyzing information and developing control solutions allow us to develop promising intelligent technical systems capable of fully simulating human intellectual activity associated with solving problematic situations (tasks) that arise during operation. This circumstance requires the definition of the main stages and cognitive processes associated with human intellectual activity. The article discusses the main stages of solving the problem (task). Their mathematical description has been completed. A graphical interpretation of the process of achieving a goal in the process of solving a problem (task) is demonstrated. The cognitive operations performed during the solution of the problem (task) are highlighted. Each operation is described from the point of view of mathematical logic and set theory. A scheme for solving the problem (problem) is proposed.

The article presents the process of electro-dynamic modeling, designing and testing of the broadband X-band frequencies antennas, forming the waves with both spherical phase front and waves with non-zero orbital angular momentum (OAM). Antennas manufactured by printed technology based on an equidistant antenna array of 16 elements and operating in the frequency range from 9 to 10 GHz have were under study. The article demonstrates the process of the required phase shifts computing at the antenna elements, as well as aero-dynamic modeling of the signal separation and phase shaping circuitry. Antennas with spherical phase front, with spiral phase front for clockwise and counterclockwise spiral rotations (corresponding to the OAM modes +1 and –1) were designed and fabricated. Experimental studies of the antenna patterns in the far zone (at a distance of 8 meters) and in the near zone (in the range from 0.1 to 2 meters) have been performed. Studies in the far zone revealed that the pattern was of a difference shape, and the wave intensity in the direction normal to the aperture plane is 30 dB less than that of a similar antenna with a spherical phase front. The difference in the transmission coefficient herewith between the case with the identic modes and different pitches is less than 4 dB for the comparison sector from –30 to +30 degrees, which indicates that the mode purity is insufficient for these antennas at a distance of 8 meters. The studies conducted in the near zone demonstrate the possibility of signal separation at one frequency and one type of polarization through the application of the developed antennas with different OAM modes with a coefficient of mutual locking up to 14 dB. However, with the distance increasing up to 1 meter, this coefficient falls to 3-4 dB, which already indicates a significant degradation of the modes purity at this distance. Conclusions on the relevance of the issues concerning quality improving of the modes formed by the OAM and reducing the divergence of such waves were made by the results of this work.

The article discusses the development and manufacture of an operating prototype of an eight-element antenna array, which operates in the L1 frequency range of satellite radio navigation systems, using additive technologies. The widespread use of an antenna array for receiving navigation signals is currently found in adaptive noise protection systems with digital generation of a radiation pattern of the required shape. Calculations of the radio technical characteristics of an elementary emitter of antenna array providing operability in the L1 frequency range of satellite radio navigation systems have been carried out. The emitter is made in the form of a ceramic microstrip antenna, which consists of a silver emitting element, a ceramic substrate, an exciting pin and a metal ground. The profile of the radiating element is made in the form of a square element with chamfers at the edges, so that the antenna element has a circular polarization of the electromagnetic field. The design of the antenna array consisting of a base and 8 radiators is described. The configuration of the developed antenna array was chosen taking into account the provision of minimum geometric dimensions and minimizing interference between the emitters. The maximum number of radio interference that can be suppressed by the antenna array is one less than the number of array emitters and is 7. To confirm the operability of the selected antenna array configuration, a working prototype consisting of microstrip ceramic radiators and a base was made. The base is a cutout from the side surface of a cylinder with a diameter of ~ 400 mm. The base is made of PLA plastic using 3D printing technology. To form a metal ground on the surface of the base, metallization with a thickness of 10 microns was carried out. The results of the VSWR measurements confirmed the operability of the antenna array in the L1 frequency range of the GLONASS and GPS satellite radio navigation systems. The results of calculations and measurements of the VSWR were compared. Analysis of the results of calculations and measurements of VSWR emitters confirmed the correctness of the selected geometric parameters of the antenna array. A slight difference in the characteristics of VSWR emitters is caused by the influence of the edges of the base located close to the emitter. The developed antenna array can be applied in noise-protected receivers of navigation signals with adaptive formation of radiation pattern.

To ensure the stability of information transmission by a radio channel, the effect of noise and interference is of great importance. In the systems with relative (differential) phase manipulation (OFM), the so-called “reverse operation” mode is excluded. These signals are not much inferior in noise immunity to the phase-manipulated (FM) signals. Besdies, incoherent reception (demodulation) is possible, which greatly simplifies the receiving device. Such signals application and incoherent reception is preferable in cases where the phase of the carrier oscillation changes dynamically and/or randomly, and its tracking is difficult, especially in the presence of structural interference of various types. Let us determine both radio signal and interference models to compute the bit errors probabilities.

We derive formulas for computing the average probabilities of the bit errors of incoherent reception of a radio signal from OFM-2 in the presence of the linearly frequency-manipulated interference.

The graph of the bit error probability dependence on the signal-to-noise ratio at fixed values of frequency deviation and interference levels shows at what level the signal is ensured with the required values of the probability of a bit error. 

The graph of the bit error probability dependence on the magnitude of the frequency deviation is symmetrical with respect to its zero value. The curve in each direction has a wave-like appearance with decreasing minimum and maximum extreme values. Analyzing the obtained graphs, it can be noted that for certain, well-defined values of frequency deviation, the influence of interference with the LFM is minimal, and the less this effect is, the lower the level of interference. On the other hand, for some values of frequency deviation, the interference effect in the bit error probability metric is 3-4 orders of magnitude higher than the minimum values.

The presence of interference leads to a dependence of the error probability on the value of the initial phases of both the signal and the interference, even under conditions of incoherent reception. To obtain a phase-averaged value of the bit error probability, statistical averaging over the initial phases is necessary. 

The developed technique allows qualitatively or conditionally quantifying the effects of linearly frequency-manipulated interference on the reliability of transmitted information in the radio channel when the interference frequency is shifted.

When processing a signal with linear frequency modulation obtained from radar equipment, there is an issue of undesirable distortion when compressing the signal using quasi-consistent filtration. These distortions occur due to minor deviations in the parameters of the signal's frequency change, which lead to a noticeable expansion of the response function. Such expansion, in turn, reduces the spatial resolution capabilities of the radar. In addition to the factors mentioned above, it is worth noting that during the transmission of the signal through the path, nonlinear distortions occur, which affect the amplitude-phase characteristics. These distortions, in turn, lead to a number of additional problems. One such problem is the appearance of multiple echo signals. As a result, false targets and noises may appear on the image, and image fragments may also be shifted. This article discusses issues related to the construction of a mathematical model and the development of algorithms for generating signals with linear frequency modulation. Special attention is given to the quasi-consistent filtration of these signals, taking into account the influence of nonlinear distortions in the pass-through information path. The theoretical concepts presented in works [1-5] are used to create these models, and issues related to the generation and quasi-consistent filtering of signals, considering nonlinear distortions that may occur in the information pathway, are also considered. In conclusion, graphic material is provided that demonstrates the results of numerical analysis of distortions that occur during the processing of signals with linear frequency modulation. Such analysis allows for a more detailed study and understanding of the nature and scale of distortions, as well as determining possible methods for their elimination and minimization. At the same time, this material is an important tool for further research and development in the field of signal processing.

The up-to-date problem solution on enhancing cost effectiveness, applicability characteristics and other parameters of the gas turbine engines (GTE) of both aviation and ground purposes stipulated the multi-rotor (multi-stage) of the rotor system (RS) layout, which realization is most often associated with the inter-rotor (inter-shaft) bearings. The goal of the study presented in the article consists in further development of mathematical modeling and analysis of dynamic behavior of the GTE rotor system based on the double pass layout of its structure. The system consists of low-pressure and high-pressure rotors, between which an inter-shaft bearing, serving as a support of the high-pressure turbine rotor on the low-pressure rotor shaft, is placed. A mathematical model of the RS GTE dynamic behavior analyzing is based on the finite element method (FEM) and the theory of elasticity contact problem solution, which allows accounting for the coupling conditions of the parts in the rotor designs. The presented mathematical model is implemented in the form of a software package (solver). In the proposed mathematical model, the stiffness is represented as the sum of structural, contact and gyroscopic components and additional stiffness caused by action of centrifugal forces. The forced oscillations excitation model includes forces caused by static and dynamic imbalances of HP and LP rotors rotating with dissimilar operating frequencies, forces of parts contact interaction, and other forces. The Rayleigh mathematical model was used to simulate damping at the RS. Using the presented mathematical model, the amplitude-time characteristics (ATC) of a modern gas turbine engine rotor system are obtained, as well as a deformed state picture and the dynamic stresses field. A comparative analysis of the RS dynamic behavior results without accounting for the effect of the inter-shaft bearing and with one demonstrates in particular the additional harmonics appearance in the RS rotational frequencies operating range and the interference of vibrations in the form of an ATC blurring.

Efficient interaction of blown gas jets with supersonic flow is one of the topical issues, to which a large number of researches and developments are devoted. Blowing jets into supersonic flow, is a common method of increasing the efficiency of gas mixing and influencing the shock-wave structure of the flow. Studies show that transverse gas jet blowing is one of the traditional and reliable methods providing fast gas mixing and high penetration of the jet into the supersonic transverse flow [1-3]. The object of study is a channel with dimensions l = 180mm, h = 30mm and w = 80mm, where at a distance b = 80mm from the inlet there is a gas jet blowout point. At a distance n = b /2 there is a ramp of length m = 5mm and 10mm, and angle of inclination β = 30^o. The impinging supersonic flow is given by M_∞ = 4.2, static pressure P_∞ = 1200 Pa, and static temperature T_∞ = 227 K. The Mach number of the blown jet is M_j  =  1, the total temperature Tj = 293 K, and the ratio of jet pressure to static pressure P_j/P_∞ = 0.16 [4]. The jet blowing condition was fixing throughout the calculation. The sticking and adiabatic wall condition are imposed on the lower and upper walls of the channel. The model was solved using the Reynolds-averaged Navier-Stokes equations, which were closed by the SST k-ω turbulence model equation. [5] The mesh topology was constructed to resolve near-wall flows and turbulent structures in areas of large gradients of gasdynamic parameters. In near-wall regions, the dimensionless layer height y+ < 1. The total number of finite element mesh cells is 1.6×106 elements. Half of the channel was modeled and the symmetry condition was imposed on the interface plane. As a result of this research, a picture of shock-wave structures was obtained and a numerical study of the interaction between a falling compaction jump and a transversely blown gas jet was carried out. The size of the ledge was varied in order to investigate its effect on the supersonic flow in the channel. As a result, it is obtained that increasing the size of the ledge has a great effect on the flow structure in the channel. In this case, the falling compaction jump formed in front of the blown gas jet is shifted closer to the channel entrance. Considering this tendency, it can be assumed that at a sufficiently large pj/p∞ ratio, the falling compaction jump can be displaced to the channel entrance, since the increase of the ledge leads to greater compression of the supersonic flow in the channel. Further increase in the size of the ledge can lead to "locking" of the channel, which in turn is an unfavorable condition for mixing of the blown jet gas and the surging flow. Also, the shock-wave structure near the blown jet changes, the zones of wall layer detachment increase with increasing intensity of the compaction jump formed by the ledge.

The use of multi-service on-board digital platforms and multi-beam antennas as part of the spacecraft will make it possible to implement high-speed direct communication between subscriber earth stations in the X-band. In this article the results of mathematical modeling of digital methods for the generation of the emitters amplitude-phase distribution (APD) in the X-band. The complex special feature is the digital processing of broadband information signals in the receiving and transmitting paths and digital methods for generating rays polar diagram (PD). The 16-channel receiving and transmitting sublattices (RTS), each consisting of 16 receiving and transmitting modules (PTM) combined with a single control unit, were used for the insurance of the specified technical requirements of the communication complex. For the transmission path there are two separate beams with independent amplitude-phase distributions of signals in the opening of each sublattice. For the receiving path there are also two separate beams with independent amplitude-phase distributions in the opening of each sublattice, and the diagram-forming circuits of the receiving beams in each module have common elements: low-noise amplifiers, mixers and intermediate frequency amplifiers, and the formation of beams for a given APD is carried out digitally after the ADC of the received signal on the second intermediate frequency. The generation of the signals’ amplitude-phase distribution in the opening of the sublattice for each of the two beams is carried out independently in the FPGA digitally at a low frequency of 15 MHz received from the reference frequency block. For each beam in the FPGA, a group of 16 phase divider counters is used with individual control of the offset of the counting sequence in each counter, necessary for the formation of a predetermined amplitude-phase distribution of ray signals in the opening of the sublattice. Digital phase control of the signals allows for strict phase binding to a single reference signal of the base frequency and eliminates the need for tuning elements that compensate for temperature instability, elements’ aging and other problems of analog and digital phase shifters. The mathematical model of the algorithm for generating a given APD of sublattice signals at a low frequency of 15 MHz in FPGAs was developed in the VHDL programming language. In the mathematical model structure, the diagram-forming scheme of the transmission path, the generation block of a given amplitude-phase distribution is represented by a developed user program. All other blocks of the mathematical model of the transmission path are designed without the user programs by directly using standard procedures and functions included in libraries. The simulation results verified the physical realizability of the receiving and transmitting sublattices in accordance with the specified functional schemes of the receiving and transmitting paths of the diagram-forming scheme.

The article considers the ant colony method modifications for application in the problems of searching for optimal values of system parameters. The parameters optimality is being determined by the values of the objective function computed as the result of complex computations of a mathematical or simulation model running on a separate computing cluster with the ability for parallel computing of the objective function values. To save the computing cluster resources, the already considered parameter values and the value of the objective function are stored in hash tables. Modifications of the ant colony method are being developed to solve the problem of stagnation, convergence to one rational solution, and allow the method to be applied to find the optimal solution without using the multi-start procedure. This is achieved by modifying the behavior of the agent ant; the ants continue to search for a new set of parameter values that have not yet been considered on the cluster. Thus, each ant agent searches for its own unique route. As the result, the modification of the ant colony method does not converge to one solution, but continues to search for other solutions, avoiding stagnation and ensuring a complete directed search of all solutions (values of system parameters). This modification determines optimal and rational solutions in the early (estimate of mathematical expectation) iterations of the method. The authors proposed an asynchronous modification of the ant colony method for the effective work with a remote multi-threaded computer. Each ant agent searches for its unique set of parameter values in a separate thread and, after finding it, sends a new task to the computing cluster via TCP sockets. The tasks received on the computer are buffered and sent to the dispatcher for uniform and constant loading of the computational threads. of The ant agents blocking associated with the addition and evaporation of pheromone is solved by the blocking-free RCU (read, copy, update) algorithm. A separate thread controls creation of a new graph with an updated pheromone, and all new agent ants will look for paths in the already new graph.

In the introductory part of the article, it is noted that in the research works of design organizations related to the development of regulated step-down pulse DC-DC voltage converters, approaches based on the use of such powerful software complexes as MATLAB/Simulink have been widely used. At the same time, the direction associated with the development of simpler computing tools remains in demand, which can be relied on not only when conducting specific computational studies of the designated converters, but also to confirm the reliability of the results obtained on the basis of these software packages. The purpose of the article is to describe two computational models designed to solve problems of dynamics of a step-down pulse DC-DC voltage converter controlled by digital (proportional, integral and differential) feedback. One of the models performing frequency analysis is designed to calculate the stability of the regulated converter in question. Another model based on the numerical integration method is focused on the study of transient and steady-state modes in the operation of the same converter. The main content of the article is devoted to the description of the designated two computational models. The calculation scheme of a step-down pulse converter is presented here and the corresponding (based on an approximate "continuous" calculation model) dynamics problem is formulated in the form of a system of two first-order differential equations (with respect to the current i in the throttle and the voltage U_Н of the load). It is indicated that an important requirement for this type of converter is its ability to reliably maintain the required value of the load voltage, which can be provided by including a feedback link in the circuit of operation of such a converter. It is assumed that the control system of the converter under discussion is based on the use of a digital PID controller in the feedback structure (which has the capabilities to implement proportional, integral and differential communication). A linear differential equation describing the functioning of the feedback link is written. Based on the obtained relations, a linear differential equation is formulated that establishes the relationship between the control parameter at the input and output of the open loop of the control system under consideration. An algorithm for calculating the frequency characteristics of such an open loop is presented. (Based on their analysis, a conclusion is made about the stability of the closed-loop control system). A system of linear differential equations describing the dynamics of the controlled (feedback) step-down converter is also formulated. An algorithm for the numerical solution of this type of dynamics problem based on the use of an implicit Euler scheme is presented. Examples of the application of the proposed two computational models to the study of the dynamics of a specific controlled step-down converter are given. The final part of the article contains conclusions on the research performed. A brief description of the two proposed computational models is given here. It is also indicated that the reliability of the results obtained using these computational models is confirmed by practical coincidence with the results of computer modeling and physical experiment available in the literature.

The task of determining the parameters of inclined projections of points on the surface of the Earth and the algorithm for determining the parameters of inclined projections of visibility zones of point objects for circular orbits of spacecraft of remote sensing of the Earth are presented, as well as an example of determining the boundaries of the inclined projection of parameters of inclined projections of visibility zones of point objects for circular orbits of spacecraft of remote sensing of the Earth. An approach is being considered to assess the effectiveness of the use of Earth remote sensing spacecraft, based not on route calculations, with significant computational costs, but on the use of inclined projections, which significantly reduces these costs. The obtained results demonstrate a high degree of coincidence of the longitude of the projection boundaries of the visibility zones of Earth remote sensing spacecraft with points for routes and inclined projections for both straight and reverse orbits, which indicates the adequacy of the proposed algorithm for determining the parameters of inclined projections of the visibility zones of point objects for circular orbits of Earth remote sensing spacecraft.

The algorithm allows you to obtain correct results, has extremely high information and operational characteristics and provides the opportunity to calculate inclined projections for groups of the same type of spacecraft of remote sensing of the Earth exactly once. This makes it possible to recommend a developed algorithm for solving the problems of determining coverage data and assessing the effectiveness of their application by regions on the Earth's surface for circular orbits of distan spacecraft

The article deals with the description of a mathematical model of the directional pattern of the radar coordinator antenna in space, with account for fluctuations in pitch and yaw angles. The angular evolutions effect on the direction finding result is stipulated by the ratio of the angular velocity of rotation in the angle of roll and the angular velocity of evolutions. the presented article considers the case when these speeds are comparable. After considering a number of simplified models for analytical description of motion of the three-dimensional antenna directional pattern in the “azimuth - angle of location” coordinates, a three-dimensional model was computed, as well as its projection onto the Earth surface. The mathematical model correctness is confirmed by experimental studies, which results were obtained as an outcome of a radar coordinator installing on a linearly moving unmanned aerial vehicle, which is subjected to angular evolutions and implements the direction-finding method of conical scanning. Thus, the concept of a mathematical model of motion of the the directional pattern of the radar coordinator antenna projection onto the Earth surface, performing a conical scanning of space under conditions of linear displacement and angular evolutions of the carrier, is proposed. The said model is applicable for the devices and products functioning as a radar coordinator for various purposes. The model is based on a number of simplifications, such as linear motion models and the Gauss model for describing the antenna pattern. The adopted simplifications may be clarified without significant reworking of the model.

The study is devoted to improving the performance of flight tests of laser semi-active guidance systems (LPS) by predicting the ranges of the laser spot at the test site based on the results of the analysis of a statistical sample of previously conducted experiments. The analyzed statistical sample is formed by the method of mathematical modeling, the input information for which is the results of recording the detection range of the laser spot, the characteristics of the illumination and reception equipment, weather conditions and reflective properties of the target used. Based on the linearization of the relative mathematical expectation of the input information vector of the mathematical model, an expression is obtained for the variance of the error in calculating the threshold energy flux at the optical radiation receiver, depending on the variances of the information used. The relative weights of the errors of the input information in the structure of the error in calculating the threshold radiation flux were determined, an assessment of the consistency of the calculated values of its dispersion with experimental data was performed, the results of which confirmed the adequacy of the developed mathematical model in terms of reproducing the factors acting in the "sublight-target-receiver" system. The prediction of the detection ranges of the laser spot is performed depending on the planned trajectory conditions, characterized by the transparency of the atmosphere on the tracks, the illumination angles and the sight of the target. An indicator of the reliability of forecasting is the probability of spot detection in a given range of ranges, which is estimated based on information about weather conditions, trajectory parameters and the obtained estimates of the variance of the results of threshold flow modeling. A mathematical model has been developed for the distribution of the radiation energy flux at the LPS receiver, depending on the characteristics of the trajectories of reception and illumination of polygon targets, weather conditions. The mathematical model differs from the known ones by using experimentally determined indicators of brightness coefficients distributed over the surface of the polygonal target model, which makes it possible to take into account its optical and geometric characteristics in calculations, which have a significant impact on the results of the LPS function. The results of mathematical modeling have been confirmed by field flight experiments. It has been established that the optimal conditions for conducting flight experiments according to the criterion of the minimum variance of the calculated threshold values are conditions in which the detection range is maximum. The use of the developed methodological apparatus in the planning of flight tests will reduce the degree of uncertainty, increase the reliability of the analysis results, as well as develop procedures for searching for optimal conditions for conducting flight experiments, eliminating discrepancies in the interpretation of their results.

Currently, the empirical linearization method is widely applied to process images obtained from the UAVs, in particular to obtain data on reflection coefficients from optical radiation data. The gist of this method consists in placing calibration panels on special polygons and obtaining on this basis linear ratios between the DN (i.e. primary digital readings) and reflection coefficients, provided that data on the reflective characteristics of these panels are available. To ensure the best approximation of the linear dependence, a pair of such panels is employed: one is light, and the other is dark. The author regarded the possibility of applying a two-panel empirical linearization method in relation to a multispectrometer with a sufficiently large number of spectral channels. The gist of the two-point (two-panel) method consists in converting digital samples into an indicator (coefficient) of reflection. This method realization involves the following operations: (1) Digital counts normalizing according to the following formula. (2) Converting the DC_norm of each pixel into the reflection coefficient of the object. The author proposed an adaptive mode of a multispectrometer operation, in which the exposure time of a fixed pixel on the spectral channel used depends on some technological indicator b_i/g_i, as well as determines the value of the DN_raw. A liquid crystal converter herewith is installed at the input of the multispectrometer, forming sequentially harmonics of the input signal with a controlled exposure time at the output. The process of sequential formation of narrow-band reflection coefficients of the studied objects is optimized during calibration of a multispectrometer calibrated by the two (light and dark) calibration panels. An optimization problem has been solved in relation to a multispectrometer with sequential digitization and formation of spectral channels based on a liquid crystal converter, which essence consists in reaching the computed spectrum-averaged value of the reflection coefficient of the maximum value.

The paper presents the results of identifying the elastic characteristics and loss coefficients of monolayers of a metal-polymer composite consisting of layers of aluminum alloy and fiberglass (aluminum fiberglass). Identification was carried out on the basis of tests for damped vibrations of cantilever-mounted samples. For dynamic testing, the samples were rigidly fixed with a metallic clamp at one end, leaving the other end free. Subsequently, an impact was applied to the free end using a metallic striker, or an initial deflection of the beam’s end from the equilibrium position was set. Displacements in the free end zone of the samples were measured by a laser displacement sensor and transferred to a program that allowed for the registration of displacement/time curves, saving them in tabular and graphical formats. The length of the free end of the beam, denoted as L (excluding the clamps), was determined to achieve a specified natural frequency of beam oscillations ω₀ (20, 30 or 60 Hz). Specific values of lengths were used for beams with different laying schemes. The maximum deflection of the beam was A₀ = 0.08L. The tests measured the natural vibration frequencies and loss coefficients of composite samples with various reinforcement schemes. Identification is performed based on solving the inverse problem using the classical theory of multilayer beams and the complex module method. Three approaches to solving the inverse problem are considered, in which a separate identification procedure is carried out for the elastic characteristics of monolayers based on the results of static or dynamic tests, or simultaneous identification of elastic and damping parameters is carried out based on dynamic test data.

The presented work studies stability of modified composites with whiskerized fibers. The following problems are being solved within the framework of the study: the static problem of local loading and the problem of stability of layered cantilever rods made from the composites under study. When solving the static problem of local loading, a modified fiber composite, loaded by compressive forces along the fibers, which is accompanied by various fracturing mechanisms stipulated by the of the fibers bending, is being considered. It appeared that an interfacial layer with adjustable rigidity allowed, with the same volume fraction of reinforcing fibers (for a classical composite, the reinforcing element is fiber, and for the modified composite under consideration, a fiber with nanostructures grown on its surface) achieving significantly greater local stability, determining the characteristic type of micro-damage at compression. When solving the problem of stability of the rods made from the composites under study, layered rods with different laying patterns and different volumetric contents of inclusions were considered. Critical load factors were determined for each of the studied samples. An analysis of the influence of the volume content of the modified fiber on the minimum critical values of compressive stresses showed that the stability of the modified composite can be increased by more than 2 times compared to the stability of a similar classical composite. When studying the stability of layered cantilever rods, it turned out that modification of the fiber with a mustache makes it possible to increase the value of the critical load withstood by the rod by more than 1.9 times compared to the critical load withstood by a rod made of a classic fiber composite with the same volumetric content of inclusions for any of the considered schemes laying of reinforcing fibers.

Short-term peak loads of machines and mechanisms create the need to accumulate mechanical energy for its subsequent pulsed use. This is quite relevant, for example, for airfield tractors at the initial stage of towing heavy aircraft. The use of a mechanical energy accumulator will reduce the power of the tractor engine. The mechanical energy accumulator can be made in the form of a direct current electric machine or a valve machine, on the shaft of which a superflywheel is attached. When a machine is connected to a power source, a non-stationary process occurs, described by two differential equations: one for mechanical quantities, the other for electrical quantities.

From the resulting formulas it follows that for an electrical circuit, the mechanical energy accumulator in question is indistinguishable from an electrical capacitor. It follows from this that in this case we can talk about artificial electrical capacitance. In addition, artificial electrical resistance arises (which is not related to the resistivity, length and cross-sectional area of the conductors. In connection with the above, a mechanical energy accumulator can be interpreted as an artificial electric capacitor, which stores not the energy of the electric field, but the kinetic energy of rotation of the superflywheel. There are superflywheel designs that can store significant kinetic energy. Even the possibility of installing them on passenger vehicles was studied. In this sense, massive airfield tractors have an undeniable advantage, since the increase in weight is not only not problematic for them, but in some cases it is desirable.

The paper presents a comparative analysis of approximate analytical relationships modelling the deflection of a homogeneous thin plate under thermal shock for the case of rigid fixation of one edge of the plate and free other edges of the plate. This analysis contains two directions: studies of the deflection temperature field.

The temperature field of the plate is analysed by comparing the results of numerical simulations with the data of in-situ tests. The experiments conducted with a new promising solar panel ROSA (Roll-Out Solar Array) in 2017 on board the International Space Station (ISS) were chosen as field tests. During these experiments, temperature measurements were made with sensors in different parts of ROSA, which allows a more correct comparison of modelling results with measured data. The comparison showed a good convergence of the results, especially near the fixed edge of ROSA. This is due to the closer real picture of the temperature shock to the mathematical formulation of the two-dimensional heat conduction problem.

To confirm the obtained results, a comparative analysis was made with the data of experiments conducted in ground conditions of the space environment simulator laboratory KM7 with the space boom section. The results of numerical modelling and in-situ experiment also have good convergence. And their differences are due to the fact that the beam model is more suitable for the boom than the plate model.

To investigate the fit of the deflection field, an experiment conducted with a reduced model ROSA solar panel in earth laboratory conditions was chosen. The deflection dynamics of the ROSA end section support beam was chosen as data for comparison. A good convergence of the results in the average value of deflections without taking into account thermal oscillations is shown. Since in the mathematical formulation of the thermoelasticity problem thermo-vibrations were not taken into account.

Thus, as a result of the work the limits of applicability of approximate analytical dependences for practical use in accounting for the temperature shock of solar panels of a small spacecraft have been revealed. The results of the work can be used in the study of rotational motion of a small spacecraft around its centre of mass taking into account the effect of temperature shock.

The article performed an experimental verification of the oscillatory process characteristics obtained based on the mathematical model of oscillations of a thin-walled cylindrical shell by the improved Fourier series method. An analysis of the obtained data was conducted. A simple and at the same time accurate solution, based on the solution by the Fourier series method (FSM) applied in the analysis of the cylindrical shells vibrations is described. Hinged support is employed as fastening. The displacement function is expressed in each structural element in the form of superposition from the double Fourier series and several additional functions. The unknown deformation parameters are being found as generalized coordinates and determined by the Rayleigh-Ritz method. The use of The Fourier method application for the complex problem of a combined plate and shell connected by a symmetric and asymmetric boundary can be obtained without equations of motion or displacement expressions transforming.

The rigidity of fastening may significantly affect the modal characteristics of the conjugated structure. In the course of operation, the resonant heights are at their peak at the places of supporting. The stiffness changing changes only the plate vibration characteristics and does not affect the shell.

The obtained solution was verified by comparing theoretical results and experimental data. When conducting experimental studies, a non-contact frequency response meter of the HSV-2000 system was employed. It consists of an HSV2001/2002 controller, an HSV-800 laser unit and a rugged compact HSV-700 sensor head. The laser unit contains an interferometer and a low-power laser, as well as a Rohde & Schwarz RTB2002 oscilloscope.

The displacement components of a cylindrical shell and a circular plate are expanded as a rule independently from the boundary conditions as a superposition of a two-dimensional Fourier series and several additional functions. The unknown expansion coefficients are treated as generalized coordinates and determined by the well-known Rayleigh-Ritz procedure. The boundary conditions and conjunction conditions are being accounted for by employing reaction components of the hinge fastening. The acceptable accuracy of the current solutions is being demonstrated by comparison with the results obtained from the experimental studies. Satisfactory results, demonstrating the applicability of the resulting method, were obtained using the Polytec system.

The work deals with the numerical modeling of the pre-deformation process (distribution – increase in the inner radius) of a thick-walled cylindrical coupling made of shape memory alloy (SMA) with the constant pressure in the process of direct thermoelastic phase transformation. The process of elastic, phase and structural deformations accumulation while the SMA coupling cooling through the temperature range of direct martensitic transformation was considered within the framework of the problem.

As part of the work, the process of model integrating of the nonlinear deformation during phase and structural transformations into the finite element complex Simulia AbaQus was performed through the procedure for creating custom material using UMAT technology and explicitly determining the tangent stiffness matrix. The pre-deformation process of a thick-walled cylindrical coupling made of SMA is being considered in a once-cohesive thermomechanical formulation, with account for the effect of the acting stress on the of phase transition temperature values.

The article demonstrates the effect of accounting for the structural transition in the process of a direct thermoelastic phase transition for two types of boundary conditions. Fidelity of the results of the work is confirmed by the validation of the developed software modules based on the results of field tests of elementary samples based on the Ni-Ti system and verification employing known analytical solutions to the boundary value problems of the SMA mechanics.

The results presented in the article may be employed in the design of thermomechanical joint couplings from the SMA.

The article considers a thin rectangular strip response to the mechanical load impact (in the plane of the object) and a temperature field in the formulation of a plane problem of the theory of elasticity. The basis of the solution is application of the Saint-Venant–Picard–Banach method for integrating the equations of the theory of elasticity of thin-walled systems (SVPB). The method combines iterative and asymptotic approaches and is of greater freedom from assumptions limiting the solution.

The first feature is transition to the sequential integration of the original equations. The relationships are being lined-up in such a way that the result of the previous one is used in the subsequent expression as a known value. Introduction of the initial approximation allows considering such sequence as an iterative operator of the successive approximations method. The unknown functions selection as the initial ones, being determined (refined) in the solution process, corresponds to the idea of the semi-inverse Saint-Venant method, expanding its interpretation to an iterative one.

Elimination of differentiation operators with respect to the thickness coordinate in equations by integration includes in the iterative operator the integration operators correlated with the Picard operators of the method for solving first-order differential equations resolved with respect to the derivative (which is also iterative).

Consistent application of the iterative operator gives integrals (the form of solution for the unknowns of the problem) in the form of asymptotic rads with respect to the small thin-wall parameter. The solution error is being estimated by the degree of the small parameter (which is an arbitrarily small value) of the leading term of the discarded part of the series. The solution existence and uniqueness are determined by the principle of compressed mappings (Banach's fixed point theorem).

The resulting integrals (iterative approximations for the functions of the stress-strain state) are used to satisfy the boundary conditions of the problem. As the result of this, the main unknown problems are determined (the arbitrary rules of integration, which include initial approximation functions).

SVPB is an analytical method, and the asymptotic approach is also usually used to isolate from the equations the available relations characterizing the components of the solution with certain properties (in particular, quickly and slowly changing components responsible for the edge effect and the main solution). When solving the problem under consideration, the type of solution for the main unknowns is obtained by direct transformations without the use of asymptotic hypotheses. For the first iteration, a comparison with the asymptotic solution was performed. The solution is supplemented with the results obtained from the relations of the next iteration.

The article presents the results of the development and hydrodynamic studies of the operating modes of a water jet ejector operating in a wide range of flow characteristics (3-100 l/min) and representing a jet pump with axial supply of an active (working) single-phase liquid medium and radial supply of a passive (ejectable) single-phase liquid medium. In the course of a computational experiment with subsequent verification of the results with a full-scale experiment, operable and inoperable modes of operation of the device were identified, the dependence of efficiency on the values of active and passive media consumption in a wide range was obtained. The basis for the computational experiment is a geometric model of the flow area of the working fluid, in which the simulation of the area of reduced pressure in the receiving chamber occurs by the outflow of the active medium at high speed through the working nozzle and subsequent pumping of the ejected medium. Of the 25 designs of the water jet ejector, the most promising one was selected, the confirmation of the operability of which was carried out in 9409 operating modes. Several main structural elements have been identified, each of which, as it was found, significantly affects the functioning of the device. The conducted research allowed us to identify practical recommendations used in the development. In the verification process, the difference between the computational experiment and the full-scale one was established, not exceeding 5%, which corresponds to sufficient engineering accuracy. The high degree of reliability of the results obtained, confirmed by field tests, allows the use of this water jet ejector of the developed design in the task of pumping media with a wide range of volumetric flow rates.

The article presents a study of the consumption characteristics of a centrifugal nozzle by numerical modeling methods using the ANSYS CFX software package with verification of the results obtained by the method of spills used by the component of rocket fuel.

Numerical studies were carried out in the ANSYS CFX software package to determine the nozzle spray angle. A three-dimensional model of a centrifugal nozzle was developed as an object of research.

Similar studies were carried out at various pressure drops on the nozzle using expressions for the flow coefficients of an ideal centrifugal nozzle (µ_f) with a tangential inlet.

Measurements of the volume of liquid fuel flowing out over a certain period of time were carried out with a corresponding pressure drop in the fuel tank and the environment to determine the mass flow through the nozzle. Pressure losses in the fuel line were previously measured, taking into account local resistances and losses along the length of the pipeline lines. Accounting for pressure losses is necessary to ensure the specified accuracy of determining fuel consumption through the nozzle. Alcohol is used as a fuel of a given concentration at the current values of ambient temperature and pressure. These data made it possible to calculate the fuel density and its kinematic viscosity coefficient.

Analysis of the values of the coefficients of mf obtained by experimental and computational methods shows that the theoretical value of µ_f for an ideal centrifugal nozzle is significantly less than the real value. The values of µ_f are constant at different values of the pressure drop at the nozzle, with the same geometric parameters of the nozzle. These differences are beginning to manifest themselves to a lesser extent in terms of mass expenditures.

The results of the conducted studies show that the flow characteristics of a real centrifugal nozzle may differ from the ideal one. On the one hand, this contradiction is due to the deviation of geometric characteristics from nominal values during the manufacture of nozzles and the geometric parameters of the flow sections and the location of sensor equipment on the pouring stand, on the other hand. This leads to the fact that it is necessary after the manufacture of the nozzle to carry out its spillage in order to clarify the design values of the consumption characteristics in the end. The results obtained can be used in the development of the technological process of manufacturing new injectors and refining defective ones.

Turbulent and laminar flow regimes of a liquid or gas are indistinguishable on the scale of thermal motion of molecules. However, there are significant differences between them on the meso- and macro-scales. The turbulent regime has the features of a stochastic time–irreversible process at all scales of consideration, moreover, stochastic pulsations in the turbulent regime at different scales are correlated – they have a collective character. In contrast, the laminar regime is deterministic and time-reversible at all scales significantly exceeding the scale of thermal motion of molecules. There are ranges of parameters above some critical values at which both laminar and turbulent modes can be realized and exist with different probabilities. Transitions between them occur abruptly, irreversibly, that is, the reverse transition when changing parameters in the opposite direction can occur (and usually does) at other parameter values. Thus, an equation describing both of these modes should allow for a non-unique solution, with an ill-smooth and ambiguously defined transition between them.

Earlier, studies were conducted on the possibility of describing both laminar and turbulent fluid flow based on the same “modified” Navier-Stokes equations, which take into account entropy production in the turbulent regime due to the excitation of stochastic disturbances at different flow scales [1-4].

Solutions corresponding to laminar and turbulent flow regimes of an incompressible non-thermally conductive liquid were analytically obtained for the Hagen-Poiseuille problems, the Poiseuille plane flow and the Couette plane flow. Experimental and analytical solutions for different values of the Reynolds number are compared.

This paper shows the possibility of moving from the Liouville equation, which takes into account the production of entropy at different scales (the “modified” Liouville equation) to the “modified” Boltzmann equation through a chain of “modified” Bogolyubov equations. Based on these equations, a “modified” system of Navier-Stokes equations is derived.

The purpose of the presented work consists in creating prospective approach to the airfoil design. A technique with no analogues, namely PGT (parent function generating) technique, which represents a universal geometry parameterization tool and ensures design space in the form of physical region on a plane, bounded by the two monotonous curves, is used for this purpose.

This tool is being combined with the solvers of various accuracy to exploit its advantages. The other purpose consists in studying the contour approximation accuracy to determine the necessary number of the design variables enough for the airfoil aerodynamic design.

Methodology consists in applying the PGT technique, including generating functions, a universal parent function and the two extra parameters to the aerodynamic design problem. At the start, the initial design space is reduced by employing the low-level substantiated solver for local optimization problems solving. Then the process is continuing in reduced space with the high-level solver. Two types of the generating functions approximation are being discussed for the number of the design variables selection.

As the result, the two-step procedure is appeared to be much less consuming than the single-step one. It requires about 100 iterations with high estimated cost and about 1000 iterations with low estimated cost.

Despite this, the demonstrating example of helicopter airfoil design demonstrates the possibility of significant improving of the targeted aerodynamic performance.

The presented study revealed that the original PGT technique allowed significant improvement of the results achieved at the previous level of the aerodynamic design, and, probably, achieving an optimum near the global optimum. In conjunction with the two-stage strategy, it significantly enhances computational effectiveness of the aerodynamic design procedure.

The fact that the PGT technique may be applied in the 3D problems for aerodynamic objects of the wing or fuselage type seems to be of great importance.

The present study explores the gas-dynamic factors impact, specifically directed injection, on the empirical coefficients used to convert discrete particle trajectories into a locally continuous field of the dispersed phase flow intensity in supersonic turbulent two-phase flows. Statistical modeling is employed to develop a technique for the particle localization distribution evaluating, with account for the probabilistic nature of the trajectory deviations.

A discrete-continuous transformation method is applied by constructing a probability density function to evaluate the particle localization distribution. This technique assumes that the cluster velocity vector deviation from the section normal is negligible. By utilizing this probability density function, an equation is derived to convert discrete particle trajectories into a continuous field, approximating a two-dimensional normal distribution. The flow rate intensity, defined as the ratio of the particles mass flow to the unit area, is used to create a continuous field of particle flow intensity distribution. The basic trajectories of cluster motion are computed with the Lagrange-Euler method. A supersonic experimental setup for gas-dynamic spraying of coatings is employed to determine the the normal distribution value and examine the particles spatial localization.

The experimental data reveles that the acquired volumetric layer of sprayed condensed phase indicates the particle distribution structure in the cross-section of a high-speed two-phase flow.

The main findings of the study demonstrate that random factors significantly affect the particle distribution in the flow. The standard deviation of particle spatial localization ranges from 4.8 to 5.4 mm for a dispersed phase size of 15 to 40 μm in a supersonic flow, regardless of the presence or absence of a drifting flow.

The introduction presents a review of the literature on the considered subject. It is noted that in accordance with the previously obtained data for the c_x(Re), namely the dependence of the drag coefficient of a circular cylinder of relatively large aspect ratio λ = 17.8 (λ = L/d, L – cylinder length, d – its diameter) on the Reynolds number (Re = V·d/ν, V – flow velocity, ν – coefficient of kinematic viscosity of air), the transition mode from the laminar separation to the turbulent one is close to that of cylinder with infinite aspect ratio, and for the cylinder with λ = 9.2 it is noticeably lagged by the speed value, or Re number.

This is of practical importance, in particularl for the spin simulation in a wind tunnel (WT) with aircraft models, to know whether this trend holds for the cylinders of lower aspect ratio, which are usually used in typical fuselages of modern long-haul aircraft (λ = 6 ÷ 8). In this regard, this study considered the aspect ratio of λ = 6.15.

The tests were conducted in a vertical WT with a sufficiently low degree of the flow turbulence, within the speed range of V = 3 ÷ 33 m/s by increasing and decelerating speed with a pitch of 2 m/s.

This presented study confirmed a significant lag by the Re number for the laminar separation mode of relatively low aspect ratio, compared to an infinite cylinder.

The article demonstrates that transition to the turbulent separation at the cylinders of relatively low aspect ratio occurs in a much narrower range of the Re numbers than with an infinite cylinder.

A hysteresis in the drag coefficient while increasing and decelerating speed exists in the region of Re numbers corresponding to the transition mode from laminar separation to the turbulent one.

The drag coefficients values of the finite aspect ration circular cylinders in the ranges of Re numbers corresponding to laminar separation obtained in the vertical WT agree satisfactorily with the data available in the known literature.

The detected effects and the presented results should be accounted for when developing and conducting studies with aircraft models in the WTs.

The study of the flow around the circular cylinder is one of the most up-to-date fluid and gas mechanics problems due to its wide application in industry. Here are some examples: wind turbines, towers, high-rise buildings, offshore structures, industrial chimneys and bridge hanger cables. Drag reduction of the cylindrical objects in aviation has been of great interest of many scientists for a long time. Various active and passive methods were applied earlier for the cylinder drag reduction. Active methods are being characterized by their effectiveness and by the fact that they require energy supply from the outside. Passive methods are based on adding extra bodies near the cylinder or geometry changing the cylinder surface, thus, unlike the active methods they do not require energy supply. The basic principle of these methods consists in moving the separation point back downstream, since later separation of the flow leads to the drag force reduction.

This work studies a passive drag reducing method through installing flat plates near the cylinder. The modeling problem was restricted by the two-dimensional case. Velocity and pressure fields near the cylinder, as well as drag coefficient dependencies on the number and relative lengths of deflectors were obtained with the ANSYS Fluent software. The authors found that the drag coefficient of the cylinder combination with one flat deflector and fixation of the back partitioning plate, situated in the horizontal plane of symmetry may reduce significantly the drag coefficient down to minimum value of 0.45.

The data presented can be recommended for the aerodynamic design of the bodies with cylindrical cross section for the drag reduction.

In the theory of measuring information processing, new approaches have been developed to finite-time and spectral-finite methods of signal processing (filtering). The signal filtering procedure is the most important task in the field of information processing. The article will explore the key features of these algorithms. These approaches are based on the orthogonal projection theorem and are optimal by the criterion of the minimum amount of error variance. The approaches are capable of producing linear recurrent estimates of non-Markov signals with correlated and uncorrelated interference. At the moment, the engineering community is making extensive use of Kalman filtering. The proposed algorithms will have an advantage over the Kalman filter. The estimation algorithms obtained on the basis of this approach coincide in accuracy with Kalman filtering and are applicable to a wide class of signal and interference models. In this paper, recurrent sums of error variances of current and interpolated estimates, optimal by the criterion of minimum, linear algorithms for filtering signals under conditions of various a priori certainty against the background of correlated and white noise, with memory provision for the measurements obtained from the beginning of work, will be investigated. The optimal estimation algorithms obtained on the basis of the properties of the orthogonal projection theorem are universal for a wide class of signal and interference models, independent of the presence of the markovity property of the signal and the correlation of measurement interference, coinciding in accuracy with Kalman filtering, simpler in their implementation, due to the adaptability property, they have increased noise immunity and robustness, at the same time With optimal filtering, optimal signal interpolation is provided The simulation was carried out in the Mathcad environment. Currently, the following algorithms have been implemented and studied: finite-time and spectral-finite; with/without feedback; adaptive / non-adaptive; with or without known interference, and their combinations.

The need for a correct assessment of the effectiveness of the conducted reconnaissance carried out using integrated spatially distributed aviation complexes of manned aerial reconnaissance facilities is explained by the extreme conditions in which they often have to be implemented. At the same time, proper planning of such flights is one of the most important tasks, the solution of which would ensure the successful completion of the mission of unmanned aerial vehicles of the reconnaissance type. Taking measures to ensure the high quality of images obtained during the flight of the UAV is certainly an essential component of such planning. images. The purpose of this study is to determine the main patterns in the organization of an adaptive mode of operation of optoelectronic reproducing equipment. The essence of the proposed adaptive mode is to promptly change the focal length depending on the altitude of the UAV in order to achieve the maximum possible value of the indicator on the NIIRS scale. Currently, the NIIRS criterion is used to evaluate the quality of images obtained from electro-optical UAV systems in the infrared range. NIIRS is an evaluation scale of the degree of interpretability of images received from UAVs. The higher the NIIRS score, the more details you can make out in the resulting image. The NIIRS scale contains 10 levels, where the zero level indicates an image in which it is impossible to distinguish any details, the ninth level indicates images in which the movement of people is clearly visible. The mathematical apparatus most often used to calculate the levels of this scale is the General Equation of Image Quality. The possibilities of adaptive construction of reconnaissance-type UAVs with variable focal length are investigated. It is shown that the root dependence of the second degree of the UAV flight altitude on the focal length of optoelectronic equipment is the worst option for adaptive flight altitude control, when implemented, the evaluation of the UAV mission on the NIIRS scale reaches a minimum value. When designing and operating an intelligence-type UAV, it is advisable to avoid organizing such an adaptive control mode.

High-precision measurement of the angular coordinates of radio emission sources is the cornerstone task of modern digital radio interferometers. The main measured parameter in these devices is the totality of the phase differences of the signal received and digitized by spaced receiving channels. To achieve high measurement accuracy, it is necessary first to minimize the difference-phase errors in digitizing the received signal by spaced receiving channels. In addition, the placement of radio interferometers at most objects involves solving the problems of minimizing the size of the system, its weight, power consumption and cost. To optimally solve these problems, it is proposed to use fiber-optic communication lines (FOCL) with their own low phase noise, which is based on modulation of laser radiation through electroabsorption.

The purpose of this work is a practical assessment of the degree of influence of the noise characteristics of a fiber-optic link, which is based on the modulation of laser radiation through electroabsorption, on the quality of the synchronization system signal and a comparison of the calculated and measured noise and transmission characteristics of the transmission path of the synchronization system of spaced receiving channels of a fiber-optic interferometer radio interferometer.

The object of study was: a model of the transmission path of the synchronization system (hereinafter referred to as the system). The research was carried out using a calculation-analytical method and through practical measurements using a phase noise analyzer, a network analyzer, and a signal analyzer.

During the work, transmission and noise coefficients for the system were calculated. Taking into account the amplifiers used, the calculated value of the transmission coefficient was no more than 16 dB and no less than 24 dB for the noise figure. According to the measurement results, the transmission coefficient was from 13 to minus 3 dB, and the noise figure was at least 30 dB; the resulting discrepancies are due to the nonlinearity of electro-optical conversion through electroabsorption and the nonlinearity of the photodiode. The introduced phase noise of the synchronization system was measured at frequencies of 1, 5 and 10 GHz. The value of the introduced phase error of the fiber-optic communication line was determined, which was: for 1 and 5 GHz - no more than 0.056 degrees, and for 10 GHz - no more than 0.176 degrees.

As is known, radar signals are subjected to various kinds of interference. A special place is occupied by the imitating interference to automatic tracking systems (leading-astray interference). The means for the leading-astray interference creating are capable of generating signals, which smoothly introduces false information about the target movement parameters (such as Doppler frequency or delay time), which ultimately leads to the automatic tracking failure [1-2].

Velocity leading-astray jammers (VJ) represent the greatest danger for the onboard Doppler radar stations. The jamming effect file detection and jamming and target signals distinction at the initial stage of the jammer operation, which would prevent the traction failure and ensure reliable information obtaining about the target, may be solution to the problem of the VJ counteracting. The capabilities of artificial neural networks (deep learning) are being studied in the presented article for this problem solution. The idea consists in regularities educing by the neural networks in characteristic dynamics of the signal spectrum received by the radar system under the imVJ pact of the in the process of their learning.

Temporal interrelation of the spectrums, obtained at the successive radar station operating cycles, should be accounted for the characteristic dynamics educing, which brings us explicitly to the time sequences processing task. As long as the very fact of the interference impact educing is understood as the VJ signal detection task, this can be represented in the context of machine learning in the form of the spectrum classification task (spectrum transformation of the signal received at every cycle of the radar operation into the VJ presence/absence mark). The signal frequency estimation in its turn is being reduced to determining the index number of the Doppler’s filter, which in their essence are the frequency domain sampling. That is, each filter is assigned a certain frequency range of the signal being analyzed at a given time instant. Thus, this task can be represented as a spectrum regression (converting the spectrum into the number of the Doppler filter of the target signal).

The following architectures intended for thetime sequences processing are being studied within the framework of this article: classical convolutional CNN network (for working with time sequences, layers of one-dimensional convolution are employed) [7]; temporary convolutional TCN network [8]; recurrent networks based on the LSTM long short-term memory layers [9]; networks based on managed recurrent GRU units [10]. Several models of each presented architecture were trained with different number of layers, size of layers, etc. To assess the trained models quality, the root of the mean square error (RMSE) for the regression problem and the F-measure (F1-score) for the classification problem were applied.

The result of the accuracy comparing of the considered architectures reveealed that CNN displayed the worst result of 6.3 RMSE and 0.986 F1-score. TheLSTM and GRU appeared to be the most accurate in both tasks (1.23 RMSE and 0.997 F1-score, 1.27 RMSE and 0.995 F1-score, respectively), and in the classification task, they apparently reached the limit of accuracy. TCN performed slightly worse (1.45 RMSE and 0.994 F1-score), however, the required network size to achieve results comparable to LSTM and GRU makes the use of TCN impractical.

The author recommends employing the LSTM or GRU network with two layers of 100 hidden units for regression and an LSTM with two layers of 25 hidden units for classification in the considered task. The choice between architectures is being stipulated by the required level of accuracy and hardware limitations on the counteraction algorithm being developed: the LSTM is slightly more accurate, but due to its structure ,it has more trainable parameters with the same number of hidden units, which leads to the use of more memory and lower computing speed compared to GRU.

Thus, the article demonstrates that neural networks are able to solve the said problems quite accurately. In the course of the study, a comparative analysis of neural network architectures designed for processing time sequences was performed and suitable for further integration into onboard digital signal processing algorithms were identified.

The author’s further intention is to study the selected architectures structures in the more complicated jamming situation.

The aim of this study is to enhance the efficiency and precision of quantum simulators via the simulation of Bell states utilizing diverse quantum gates, initialization, and measurement algorithms. Such research will enable us to gain a more profound comprehension of quantum solutions for intricate issues while enhancing their performance.

Bell states are a set of four entangled quantum states represented by two qubits. Each qubit can be in a superposition of two states, namely 0 and 1. These states are used as building blocks for many quantum algorithms and quantum protocols, such as teleportation and dense coding. Bell states are also used to experimentally demonstrate quantum entanglement and quantum teleportation.

Theoretical modeling of Bell states requires understanding the quantum state correlations between two qubits in an entangled state. Let us highlight three approaches to simulating Bell states: algorithms based on various quantum gates, algorithms based on density matrices that describe the statistical properties of quantum systems, and algorithms based on entanglement measures that quantify the degree of entanglement between two qubits.

Understanding the effects of noise and imperfections in quantum hardware for entangled state generation in Bell state simulations requires the development of error correction and fault tolerance methods for quantum information processing. Research into multiqubit entangled states demonstrates complex quantum phenomena such as quantum teleportation networks and quantum error correction codes.

The following algorithms simulating Bell states are considered: an algorithm based on the Hadamard and CNOT gates, an algorithm using a single-qubit Pauli-X gate, an algorithm using a single-qubit S-gate, an algorithm using a T-gate, an algorithm using an X-gate,

The initial state generation algorithm prepares qubits for quantum operations and measurements. The correct choice of the initial state can influence the results of calculations and the efficiency of the algorithm. In addition, the measurement results depend on the states of the qubits after performing quantum operations. Let's take a closer look at these algorithms.

The algorithm for generating multiple random initial states of a two-qubit system is useful for testing the behavior and stability of quantum algorithms and simulators. The Kronecker product of qubit states allows the algorithm to represent the entire state of two qubits as a 4-dimensional vector, which is used to model the evolution of a quantum system over time.

When measuring the states of a two-qubit quantum system in the Bell basis, the measurement probabilities give an idea of the chances of different measurement results. These probabilities are calculated based on algorithm n-qubit measurements. By measuring the system several times and comparing the measured results with the probabilities, the quantum mechanical predictions and the accuracy of the quantum device are checked.

The proposed algorithms improve the simulation and manipulation of Bell states, making them suitable for a wide range of applications, particularly the enhancement of software implementations of quantum simulators. This study was focused on improving software quantum simulators, providing an advancement in the field. The significance of Bell states for quantum information and computing is emphasized in the paper, along with the necessity of accurate and efficient simulation and manipulation of these states.

With the constant development of mechanical engineering, space and aviation industries, the tasks of investigating the interaction of two elastic plates with a viscous liquid or gas between them are becoming more and more urgent. The study of elastic plates, the space between which is filled with a viscous liquid or gas, is becoming increasingly necessary. A mechanical system consisting of two plates interacting with each other through a layer of viscous compressible fluid in which constant pressure is maintained, as a result of which the upper absolutely rigid plate performs vertical oscillations is considered. The first plate is absolutely rigid - the vibrator, the second - is an elastic three-layer plate - the stator. The mathematical model in dimensionless variables is a coupled system of partial differential equations describing the dynamics of the motion of a viscous compressible fluid (Navier-Stokes equations and continuity equation) flowing between two plates with the corresponding boundary conditions. To solve the resulting problem of the interaction of a viscous compressible fluid and an elastic three-layer plate, we switched to dimensionless variables of the problem. Small parameters of the problem were chosen - the relative width of the viscous fluid layer and the relative deflection of the elastic stator. The selected small parameters of the problem made it possible to use the perturbation method to simplify the system of equations. The Bubnov-Galerkin method has found an expression for the amplitude-frequency characteristics of an elastic three-layer stator, further study of the expression will allow to identify and exclude resonant phenomena in structures of this type, take them into account when building new structures in modern mechanical engineering, aviation and space industries.

The development of an automatic control system for any fairly complex technical object is a long, multifaceted process; one of the main stages is the construction of an adequate mathematical model of the control object. The choice of a mathematical model of an object is in one way or another connected with the idealization of its mathematical description, which involves highlighting the main patterns in the behavior of the object and neglecting secondary connections and effects, taking into account the expected conditions of its physics of functioning in a real system. In this work, we will consider an example related to temperature control in a furnace. Since in such a system it is necessary to take into account several variables, when constructing a mathematical model, the automatic control system is distributed. If, in a system for regulating the heating of a rod in a furnace, we implement the transition from partial differential equations inherent in systems with distributed parameters to ordinary differential equations, then it is most advisable to consider the system as a linear system with a retarded argument.

It should be noted that such a procedure is very useful, since algorithms for efficiently solving ordinary differential equations are much better developed compared to algorithms for directly solving partial differential equations.

The paper presents a possible implementation of the transition from partial differential equations to ordinary differential equations for solving the problem of parametric synthesis using the generalized Galerkin method for automatic control systems with distributed parameters. As a mathematical apparatus, the method of separation of variables (Fourier) is used, as well as obtaining state space matrices in order to obtain the transfer function of an automatic control system with distributed parameters.

Currently, the most rapidly developing areas of research in the theory of automatic control are nonlinear and stochastic analyses. This interest is justified by the fact that most physical processes in nature and systems in the real world are nonlinear and are also subject to random disturbances, i.e. stochastic. In modern automatic control theory there are a large number of methods and studies devoted to the synthesis of nonlinear automatic control systems, but no unified approach has been developed that would allow the synthesis of nonlinear automatic control systems of any complexity. Also, difficulties in solving the problem of synthesizing nonlinear automatic control systems also arise when constructing an adequate mathematical model, since this issue is related to the idealization of the properties of both the elements of the control system and the automatic control system as a whole. It is known that when constructing a mathematical model, all the basic and most essential features and properties of the synthesized ACS must be preserved; in the presence of nonlinear elements in the ACS, this situation is associated with the choice of the correct choice of approximation [1-10]. As is known, there are various types of approximations of the characteristics of nonlinear elements, for example, analytical, power, piecewise linear, approximation by irrational functions. However, for accurate implementation of a nonlinear characteristic with piecewise linear approximation, it is necessary to increase the number of piecewise linear sections, which leads to complication and an increase in the synthesis time of such a system. With analytical approximation, it is quite difficult to instantly obtain the correct analytical expression. In this work, it is proposed to use polynomial approximation. As a mathematical apparatus it is proposed to use the generalized Galerkin method.

It is noted in the introductory part of the article that approaches based on application of the powerful commercial software such as MATLAB/Simulink are widely employed in the research works of the design organizations associated with the various types of the switched-mode DC-DC voltage converters development. At the same time, the trend associated with development of simpler computing tools, which can be relied upon not only while conducting specific computational studies of the said converters, but also for reliability confirming of the results obtained based on this software as well, is still being called for. The purpose of the article consists in describing one of the like type of computational tools based on the numerical integration method and designed for studying transient and steady state operation modes of the converters under discussion.

The article points out that systems of differential equations describing the dynamics of the switched-mode DC-DC voltage converters are characterized by the presence of specifics associated with abrupt changes of their parameters in time initiated by switching by pulse-width modulators with a given clock frequency f and a period T = 1/f. With reference to the work of one of the co-authors of the article, dealt with the numerical solution of dynamics problems of the electro-mechanical systems with discontinuous features (such as dry friction), the authors note that a simple and effective way of numerical implementation in such cases is application of an unconditionally computationally stable implicit Euler scheme when integrating over time.

The main content of the article deals with the description of the said approach in relation to the numerical simulation of transients in the operation of a buck switched-mode DC-DC voltage converter. The article presents a design diagram of the converter and corresponding dynamics problem is formulated in the form of a system of the two first-order differential equations (with respect to the inductor current i and the load voltage U) with discontinuous features. The algorithm of the numerical solution, implemented in the form of a program in the Fortran language, is recounted. The article presents the results of computations performed by this program related to the transient operation modes of the two concrete buck converters. These results fidelity is confirmed by comparison with the simulation results available in the open sources, performed in the MATLAB/Simulink. The article points at the option of the proposed model application (accounting for the discontinuous specifics) in the version corresponding to the so-called “continuous” or “averaged” model. On the example of the transient process computing for one of the considered buck converters performed with “discontinuous” and “continuous” versions of the developed computational model the article demonstrates that computational results of these versions are in good agreement with each other.

The final part of the article contains conclusions on the research performed. It is noted here that the article presents (based on the implicit Euler scheme implementation) an approach to the numerical modeling of transients of the switched-mode DC-DC voltage converters operation, with account for discontinuous features in the formulation of differential equations describing dynamics of such devices. Transients of two options of the DC-DC buck voltage converters (described in literature) were subjected to the numerical analysis. Fidelity of the numerical simulation results has been confirmed by practical concurrence with the results of computer modeling and physical experiment available in the literature. Capabilities of the continuous version of the developed computational model for solving problems of dynamics of the buck switched-mode DC-DC voltage converters have been demonstrated.

An important component of the country's socio-economic development is the presence of a developed multimodal transport system. One of the main tasks of the effective functioning of such a system is consistency with each other individual modes of transport. It makes possible to increase transport accessibility for potential passengers in the system.

The purpose of the study is to assess connectivity of the aviation and rail transport systems of passenger transportation in the Russian Federation. In Russia, it is not possible to talk about a unified transport system, due to the geographical features of the country. But it is also impossible to consider these systems completely unrelated, because in large metropolitan areas of the country, these types of transport closely interact with each other. Therefore, for the effective development of the multimodal transport system of the Russian Federation, it is necessary to take into account for which flight points there is an alternative mode of transport (railway), and for which flight points aviation is the only transport for transportation or it can serve as a feeder transport to railway stations. To solve this problem, a model has been developed that allows us to determine the availability of railway communication for each flight point.

The first section provides a description of the initial data for modeling, and the software implementation of their automatic collection.

In the second section, based on the collected data, a methodology has been developed according to which flight points are divided into 5 structural groups according to the presence and accessibility alternative mode of transport - railway. A “special” group of flight points has been identified, for whose lives air transport is important.

The third section provides an analysis of the results obtained. Populated areas have been identified (including the number of potential passengers in them) from which departures could theoretically be to the transport passengers to railway stations, thereby increasing the connectivity of transport systems.

Application of photovoltaic converters for the aviation and space industries represents a very important task. In particular, it is the main source of electrical energy at space vehicles and stations. Certain drawbacks constantly arise herewith during the semiconductor photocells operation. The authors of the presented article propose several solutions to this problem. The photoconverters overheating, for example, leads to their efficiency degradation and energy characteristics deterioration. For this problem solving, the authors proposed an interesting technique for the said consequences mitigation. Theoretical and experimental studies were conducted, the necessary computations were performed and qualitative proposals were made during this work. The presented study analyzes the effect of passive cooling on the efficiency of the silicon-based photovoltaic cells. The photovoltaic cell (PV) was subjected to heat dissipation through the aluminum heat sink. The radiator sizing is based on the results of the stationary heat transfer analysis. The experimental studies were conducted at various ambient temperatures and illumination levels up to one sun with a sun simulator. Based on the empirical data obtained by applying this cooling methodology, the photovoltaic cell efficiency in converting light energy into electrical energy is greatly improved. The efficiency of the photocell increases by 20% when exposed to radiation with an intensity of 800 W/m². The most significant temperature reduction is being noted at an illumination level of 600 W/m². Photovoltaic cells, both with and without fins, demonstrate improved performance at lower ambient temperatures. The studies being performed allow ensuring high-quality generation of the electric energy and reducing the dependence of the solar panels operation on temperature, which significantly improves the energy characteristics of the power plant and ensures reliable electrical energy generation. Theoretical and experimental studies performed in the course of this work allow continuing the solar installations development and may significantly expand scientific data on the operating modes of photovoltaic stations, both ground-based and space-based. This data is necessary for both ensuring reliable operation of aerospace equipment and for the ground-based power systems operation.

The use of rigid-flex printed circuit boards on aircraft is due to the necessity of reducing overall dimensions and its weight. However, the use of rigid-flex printed circuit boards leads to problems of with thermal and electromagnetic compatibility due to the high density of elements on the board.

This article proposes the use of a technique for automated placement of elements on a rigid-flex printed circuit board of an electronic device, taking into account thermal and electromagnetic compatibility based on a two-level genetic algorithm.

The technique includes two levels of placing elements on the printed circuit board. At each level of the methodology, when solving the problem of automated elements placement, a modified genetic algorithm is used. The first level of the technique consists of super elements placement (an active element-microcircuit and associated passive elements) on a rigid-flex printed circuit board, taking into account the criteria of thermal compatibility and a minimum of total weighted length. The second level of the technique ensures the elements placement on the printed circuit board within a super element, taking into account the criteria of electromagnetic compatibility and the minimum of total weighted length. Verification of the obtained solutions is achieved through the use of computer modeling tools at each level of the proposed methodology. This ensures thermal and electromagnetic compatibility on the rigid-flex printed circuit board.

Validation of the developed methodology on a real practical example confirms its effectiveness and the quality of the results of elements placement on a rigid-flex printed circuit board. A summary of practical examples demonstrates the possibility of using the developed methodology for the printed circuit boards design, as a special case of rigid-flexible printed circuit boards.

In the introductory part of the article, it is noted that orthogrid-stiffened (reinforced on the inner surface by an orthogonal mesh of ribs) cylindrical shells made of aluminum alloys are widespread structural elements of rocket and space technology products, which under operating conditions are subject to large axial compressive loads. An important (in terms of strength) problem here is the calculation of this type of shell for buckling (or load-bearing capacity). Such calculations are usually performed using well-known commercial finite element systems. The corresponding computational models are built using both shell and volumetric elements. It is noted that the use of these detailed finite element models when carrying out the necessary parametric studies may turn out to be ineffective due to the large expenditure of computer time on the calculation of a separate option. This especially applies to cases of large-sized structures. Recent publications are pointed out, in which calculations for the buckling of the type of shell under consideration are carried out within the framework of models based on the “smearing” hypothesis. With this approach, the shell, supported by a network of ribs, is approximately considered according to the scheme of an axisymmetric structural-orthotropic shell, which makes it possible to construct a more computationally efficient calculation model. It is noted that in this article, a similar calculation model is constructed based on the numerical integration method.

The main content of the article is devoted to the description of the designated computational model and the calculated results obtained using it. Assuming that the reinforcing ribs are located quite often, using the “smearing” hypothesis, the ribbed cylindrical structure under consideration is reduced to a design of a structurally orthotropic shell, working in accordance with the Kirchhoff-Love hypotheses. The problem of buckling under axial compression of the shell model accepted for consideration is formulated in the traditional Eulerian (bifurcation) formulation, taking into account the linearity of the subcritical stress-strain state. The resulting linear homogeneous boundary value problem for a system of eight first-order ordinary differential equations (as a result of applying the procedure of expansion into Fourier series along the circumferential coordinate) for each harmonic number n is solved using the orthogonal sweep procedure of S.K. Godunov, including numerical integration according to the Kutta-Merson scheme. The numerical solution algorithm developed (in the form of a Fortran program) determines the harmonic number n and the smallest (critical) value of the compressive load Q, at which the specified homogeneous boundary value problem has a non-zero solution.

In order to check the reliability of the results obtained using the described computational model, a calculation of an axially compressible cylindrical orthogrid- stiffened shell was carried out and a comparison was made with the known solution obtained using a finite-difference computational model. Additionally, an alternative finite element model was built in the MSC Patran/Nastran software package based on a tetrahedral element (Tet10). A practical coincidence of the results of the buckling calculations using all three of these computational models was noted.

Next, the question is considered concerning the degree of consistency with experiment of the buckling calculation results obtained using the developed computational model. Calculations were carried out to determine the critical loads for nine different structures of samples of orthogrid-stiffened shells (made of aluminum alloy) that passed axial compression tests. A slight overestimation (by about 20%) of the calculated values of critical loads compared to the experiment was noted. The analysis carried out for the considered set of samples established the desired value of the “knockdown factor” in the form k = 0.75.

The final part of the article contains conclusions on the research performed. It is noted here that the article presents a computational model constructed using the “smearing” hypothesis and the numerical integration method for calculating the buckling of axially compressed cylindrical orthogrid-stiffened shells. The main results obtained using the developed model are also indicated.

The authors consider the problem of the stress-strain state determining of a two-layer elastic strip staying in a temperature field under the action of a transverse bending load. Certain conditions may be imposed on the displacement or stress at the short sides of the strip.

A method called in [1] the Saint-Venant–Picard–Banach (SVPB) method is used to construct a solution. Being based on a generalization of the ideas of the Saint-Venant semi-inverse method [2] and the Picard method of successive approximations of [3], it allows finding all the unknowns for a system of equations of the elasticity theory by sequential calculations without any preliminary hypotheses. The dimensionless partial differential equations with a small thin-walled parameter for a thin strip are being written as integral ones with respect to the transverse coordinate, similar to what is done in the Picard method. Next, the equations and transformed elasticity relationships are being arranged in a sequence that, accordingly, allows sequentially calculate the unknown problems, expressing them through the four arbitrary functions of the longitudinal coordinate obtained by integration along the transverse coordinate and integral coefficients from the function of changing the stiffness of the layers in the transverse direction. Having these formulas for all the unknowns of the problem being searched for, the expressions for the boundary conditions on the long sides to determine four arbitrary integration functions according to Picard [4] may be written. These expressions represent ordinary differential equations with small parameters for derivatives with respect to the longitudinal coordinate. Their solutions are slowly changing functions of the main stress-strain state and rapidly changing functions such as the edge effect. The integration constants for both solutions are being determined from the boundary conditions on the short sides of the strip. For slowly changing ones, the conditions coincide with the classical ones for a beam. The conditions unsatisfied by the classical solution are being satisfied by the integration constants of rapidly changing solutions, adding to the slowly changing solution the edge effect and features in the corners of the strip [5]. Substituting these solutions of the main unknowns into the formulas previously obtained after the first iteration, we obtain formulas for all the unknown unknowns of the problem of the theory of elasticity of a layered strip, valid for each point of the strip.

The spacecraft touchdown on the surface of planets and their satellites is one of the crucial stages of the flight, since the surfaces of the planets are insufficiently studied, the kinematic parameters of the spacecraft motion may vary in a wide range.

To dampen the spacecraft touchdown, landing devices, which should ensure a touchdown with permissible overloads and a stable spacecraft position on the surface are employed.

The article considers the descent vehicles that do not have special mechanical shock-absorbing supports, and energy absorbers are installed directly on the body of the descent vehicles.

At a hard surface touchdown, such as rock outcrops, volcanic rocks, sedimentary rocks, the soil practically does not deform, and the energy of the device is being extinguished due to the energy absorbers operation. Materials with high plasticity such as foams, honeycombs, thin-walled crumpled shells, as well as inflatable shells are being employed as energy absorbers for cushioning the descent vehicle. They differ in the magnitude of the maximum relative deformation, maximum compression force, the shape of the compression diagram, and elastic recoil energy when removing the external load.

The article considers the technique for the overloads computing while spherical descent vehicles touchdown on the loose and hard ground.

This technique may be employed for the development of the descent vehicles touchdown damping on the surface of planets and their satellites, with regard to various soil models.

Telemetric data from accelerometers on the spacecraft acceleration at the impact with the surface and this impact duration, allows computing the soil bearing capacity and its density at the touchdown site by the proposed methodology.

Touchdown ensuring of the descent vehicles with permissible overloads is especially important for vehicles returned to Earth with soil. The design of the descent vehicles to confirm the calculated maximum overloads should be tested for strength during throwing tests. Besides, the capsule with the soil should remain sealed after touchdown of the descent vehicles on any soil to exclude microbiological contamination of the surface of the touchdown area.

The spacecraft antenna reflector (net-canvas) deployment from the transport to the orbital position is accompanied by the appearance of oscillatory processes that preserve energy after its fixation in the working position [2, 3]. These fluctuations of the structure lead to the efficiency decrease of the system in total.

The article considers the results of numerical modeling of the opening process of a repeater spacecraft transformable umbrella antenna to analyze the kinematics and dynamics of the large-sized antennas opening to assess the effectiveness of the spacecraft functioning.

A model of a transformable antenna of the “Beam” repeater spacecraft, consisting of form-forming spokes fixed pivotally to the base, and a network canvas stretched between them was considered as a prototype. The kinematic scheme of the antenna structure consists of a spoke fixed pivotally to a fixed base; a connecting rod connected pivotally to a spoke and a slider and performing plane-parallel motion; a slider moving translationally.

The effect of the elastic modulus of the material on the magnitude of residual vibrations and their frequency was found. The change in the design, allowing reducing the residual vibrations value was proposed and analyzed.

The simulation results analysis allowed revealing the effect of the initializing force nature and the materials employed in the design on the final velocity, final acceleration, opening time, required initialization force, voltage, amplitude of residual oscillations and their frequency, frequency and forms of natural oscillations of the spacecraft antenna structural elements.

The proposed approach to the analysis of large-sized spacecraft antennas allows accounting for the effect of the materials of the spacecraft structural elements antenna and the initializing force nature on the final speed, final acceleration, opening time, required initialization force, voltage.

The article considers the results of experimental studies on testing a new mathematical model of a thin-walled plate with rigidly clamped edges free oscillations. As of today, plate designs with rigidly fixed edges are widely employed in aircraft building and construction structures: buildings and structures, as well as in various industries. At the same time, these structures are subjected to various loads (wind, snow, and vibration), which cause free vibrations and lead to resonance phenomena, in some cases, structural failure and technogenic disasters. Experimental studies today is one of the most effective. The external forces impact on the shell allows obtaining experimental dependences of the frequency response of the shell vibrations and the value of the attached mass with the test bench. The study of plate free vibrations allows studying the resonant vibration modes, the parameters of their onset, prevent destruction of the real shell structures. Vibrations with moderate amplitudes of free oscillations were decomposed according to the obtained equations. Verification of the discrete nonlinear oscillations model of the thin shell pinched at the edges, obtained during the research, was conducted using the multi-scale method. When performing experimental studies, a non-contact frequency response meter of the HSV-2000 system was applied. It consists of the HSV2001/2002 controller, HSV-800 laser unit and the rugged compact HSV-700 sensor head. The laser unit contains the interferometer and the low-power laser, as well as the Rohde & Schwarz RTB2002 oscilloscope. Based on the results of the research, experimental verification of the free oscillations mathematical model of a plate with rigidly clamped edges was performed. The results of the work allowed describing the dependence of the first eigenvalue λ on ε for the recursive formulation of the perturbation theory and the Padé approximation, as well as experimental data. The limiting value of the ε parameter, at which the difference in the results obtained by the recursive formulation of the perturbation theory and the Padé approximation will be within 5%, is ε = 0.4.

The presented article is studying the problem of the viscoelastic layer of the Earth deformations under the action of the forces of attraction of the Moon and the Sun through the modal approach. A viscoelastic solid consisting of an axisymmetric solid core and a viscoelastic axisymmetric (in anin-deformed state) shell subject to deformation according to the Kelvin–Voigt model was considered as the Earth model. There are no displacements on the inner boundary of the shell, and the outer boundary is free. The process of the Earth deformation is assumed to be considered as quasi-stationary.

Based on the deformation equations derived from the Dalembert-Lagrange variation principle, approximate expressions for the frequencies of solid-state tides are obtained in the work. A modal approach is used for this purpose. The author demonstrates that oscillations will occur only on the forms with 0, 1 and 2 indices. The frequencies of the forced tidal oscillations of the Earth mantle deformable layer are approximately determined for these forms The resulting set of harmonics includes not only the basic tidal harmonics, but the minor small-scale components with combinational frequencies as well. The results of the observation variations approximation in gravity acceleration in the city of Membach on a superconducting SG-gravimeter, built using the developed tidal model are presented as an example.

The models of tidal deformations of the viscoelastic Earth are employed in the problems that require a highly accurate description of the gravitational field, such as, in the problems of the spacecraft orbital motion. Thus, the lunar-solar tides in the of satellites motion lead to quite noticeable disturbing accelerations. For example, for high-orbit satellites with an orbit altitude of about 20,000 km (GLONASS, GPS), the disturbing acceleration is of the order of 2*10^-9m/s², and for low-orbit satellites with an orbit altitude of about 350-400 km (ISS), the acceleration value is already much greater, namely of the order of 1.5*10^-7m/s². For example, neglecting the perturbing acceleration of the order of 2*10^-9m/s²for GLONASS leads to a daily orbital drift of about 2-3 meters.

However, the issues related to the description of tides turn out to be important not only in the tasks of clarifying coordinate-time and navigation support, but in the tasks of the tidal evolution of the planets motion and their satellites in celestial mechanics and astrodynamics.

The article considers the stationary rotation stability of a solid body with a cylindrical cavity completely filled with incompressible cryogenic liquid. The stationary rotation stability of a body with stratified liquid is being studied based on ordinary differential equations, which coefficients are being determined from the solution of time-independent boundary value problems of hydrodynamics. A distinctive feature of all cryogenic liquids is the non-uniform change of density and temperature observed in all storage and operation modes. The most significant stratification of the cryogenic component occurs in the direction of action of the external field of mass forces. To study motions of this mechanical system, a stratified incompressible fluid is a suitable model. The authors studied various cases: (a) the case of solid body rotation in the absence of liquid mass and with solidified liquid; (b) the case of solid body rotation with homogeneous liquid, when the moment of inertia of the solid body equals to zero or not equal to zero; (c) the case of solid body rotation with stratified liquid, when the moment of inertia of the solid body equals zero or not equal to zero. Characteristic equations of the boundary value problem and the motion of a solid body with a stratified fluid stationary rotating about its axis were obtained. The stability regions of free rotation of a solid with stratified fluid in dimensionless parameters are plotted. The obtained results allow drawing inference that stable stratification of the fluid leads to a decrease in the areas of instability in the rotation of a solid body with a cylindrical cavity completely filled with fluid. The considered method maybe used for studying not only the cylindrical cavity, but the other forms of cavity as well.

One of the most promising applications of SMAin the aviation industry is the manufacture of couplings from them designed for thermomechanical connection (TMC) of pipelines. Currently, in the Sukhoi Design Bureau, an analysis of the possibility of using the above alloys in the hydraulic system of the aircraft has been carried out, zones of preferred use of SMA couplings in the airframe design have been identified (“dry zones”, “embedded zones” under composite panels). The use of coupling joints from SMA was also considered for carrying out repair work of fuel and hydraulic systems of aircraft directly in the places of basing and operation of aircraft.

As part of the work, mathematical models of SMA material were developed in the Simulia AbaQus finite element modeling software package, capable of describing the functional properties of SMA implemented during the entire life cycle of a coupling made of this material. In addition, the models have a high level of availability and can be used in solving most technical projects for the introduction of SMA elements into the design of aircraft, including when designing thermomechanical connections using couplings made of this material. Two alternative ways of increasing the internal radius of the SPF coupling are also proposed, a comparison with the currently used dorning method is carried out, and the optimal approach is identified.

The reliability of the results of the work is confirmed by the validation of the developed software modules based on the results of field tests of elementary samples based on the Ni-Ti system and verification by known analytical solutions of model boundary value problems of SMA mechanics.

The purpose of the presented work consists in creating an effective method for the viscous inverse problem numerical solution based on a substantiated airfoil geometry corrector, PGT (Parent function Generating function Transformation) technique developed earlier and the concept of effective non-viscous circulation for the airfoil viscous flow-around. The possibility of this method application for the integral aerodynamic characteristics improving of the multi-mode profiles was studied additionally.

Universal model, allowing developing arbitrary profile, consisted of the functions generating the aerodynamic airfoil contour based on the universal parental function and two parameters, was developed earlier based on the PGT method for the aerodynamic design tasks. The PGT method distinctive feature is the fact that generating functions increase monotonically from 0 to 1 on the [0, 1] segment. The presented work employs this universal model for mathematical representation of the velocity circulation distribution around the airfoil contour. The model allowed solution efficiency increasing of a well-posed inverse problem for the full potential equation. The same model was employed for setting and solving the inverse problem for the profile in a viscous flow as well. Verification of the viscous inverse problem solution was performed on the example of the NACA-23012 profile. The examples of the profile contour resurrection by the pressure distribution in it for several flow-around modes were presented.

The article presents demonstration example, which reveals the possibility of the multi-mode airfoil aerodynamic characteristics improving based on the inverse viscous problem solution.

The author shows that well-posed non-viscous inverse problem solving method application as a corrector allows realizing pressure distribution along the upper contour of the airfoil practically coinciding with the target one.

The presented study revealed that the original mathematical model based on the PGT method and application of the concept of effective non-viscous circulation allows creating an effective method for a viscous inverse problem solving and efficiency improving of the method for the well-posed non-viscous inverse problem solving.

In the field of hydraulics in modern mechanical engineering, the issue of wear and tear of piping systems is particularly acute, as pipelines often become unsatisfactory for operation due to internal damage caused by the constant impact of hydraulic shocks on the pipe walls. This process is widely studied, the key feature of hydrostroke is the wave-like propagation of pressure surge along the pipeline at a speed comparable to the speed of sound in the working medium. Pressure stabilizers are used to minimize the effects of hydraulic shocks in pipelines. The paper presents the results of computational experiments of hydraulic shock wave propagation in a liquid working medium in a straight pipeline and a pipeline with a piston-type pressure stabilizer installed. The analytical calculation of the main parameters of the working medium in the pressure stabilizer at the moment of hydraulic shock, such as pressure of hydraulic shock and period of oscillations of the increased pressure near the piston surfaces is given. In the course of verification of the analytical method, the relative errors of calculation of the amplitude pressure of the hydraulic shock and the velocity of propagation of the hydraulic shock in the pressure stabilizer are established, each of which is less than 5%, which corresponds to an acceptable engineering accuracy. It is determined that the use of the piston-type pressure stabilizer reduces the amplitude pressure of the hydraulic shock by more than 83%, which indicates the effectiveness of the developed design and the possibility of application in various industries.

The purpose of this research is to study the Reynolds number value effect on the flow-around characteristics and characteristics of the isolated air intake. The object of the study is a non-regulated air intake of external air compression with ovoid inlet. The air inlet is equipped with a boundary layer control system, in the form of perforation on the shell braking and trimming surface.

The air intake flow-around numerical simulation was executed based on the solution of the Reynolds-averaged Navier-Stokes equations with the SST turbulence model (RANS-SST approach), using unstructured computational meshes built in the flow areas outside and inside the air intake. Simulation of the air intake duct throttling was performed using the active disk method. The air intake flow-around was modeled at the Re number values ranging from Re ~ 3.8х10⁶ to Re ~ 4.2х10⁷.

The air intake throttling characteristics were obtained on all studied modes by the results of the numerical modeling. The article also presents the Mach number fields in the longitudinal vertical section of the air intake duct and the total pressure recovery coefficient (ν) fields in the duct cross section, corresponding to the engine compressor inlet.

The obtained results analysis revealed a number of specifics of the air inlet throttling characteristics stipulated by the Re number value. Firstly, the value of the ν coefficient increases with an increase the Re number value at the supercritical operating modes of the air intake. The maximum increase of the ν coefficient value was of Δν ≈ 0.01. The ν coefficient value increased due to the decrease of the boundary layer thickness in the air intake duct.

Secondly, the ν coefficient values change slightly with a change in the Re number one the critical operating mode of the air intake.

Thirdly, in subcritical operation conditions of the air intake, the ν coefficient value decreases with an increase of the Re number value. Maximum decrease of the ν coefficient value was Δν ≈ 0.01. The decrease of the ν coefficient value is associated with the losses reduction effect weakening of the flow total pressure in the λ-structure, which occurs while the boundary level control system perforation flow-around.

Fourth, it was revealed that the Re number in the studied values range, did not significantly affect the air intake characteristics by the ¯Δδ_о parameter.

Further study of the Re number value effect on the characteristics of supersonic air intakes supposes performing numerical studies on the flow-around and characteristics of the air intakes in the layout with the fuselage of prospective civil supersonic aircraft at various Re numbers, as well as conducting tests of the air intakes models at various Re numbers.

The dynamics of motion of a solid body interacting with a fluid is an important field of research in mechanics and physics. Particularly interesting are cases where several immiscible liquids are present in the cavity of a solid. The introduction briefly introduces the main aspects of this topic, covering both linear and nonlinear approximations. The article is devoted to the formulation of the basic equations of nonlinear dynamics of a solid body undergoing complex motion and having a cavity filled with a two-layer ideal heavy liquid. In the formulation of the problem, consideration of quasi-velocities was introduced instead of generalized velocities and the Euler-Lagrange equation for the motion of a rigid body was used. The article shows that using the Ostrogradsky principle, a complete set of equations of motion of a rigid body relative to quasi-velocities V_oi , ω_i and the motion of a two-layer liquid relative to generalized coordinates B_j and Q_n was obtained. The article is devoted to the definition of differential equations for the generalized coordinate motions of a two-layer liquid in the cavity of a solid body performing a given motion in space. In the article, the formulation of a nonlinear problem about the motions of immiscible incompressible ideal liquids that completely fill a cylindrical cavity is formulated, and velocity potentials are given for each liquid. The article shows that with the help of the variational principle, written in a form different from the traditional one, it is possible to obtain a complete set of equations of nonlinear motions of liquids, including nonlinear kinematic and dynamic conditions on the interfaces of liquids filling the cavity of a solid body that performs a given movement.

The article considers the features of determining the essentiality of the instrumental error effect of automatic and automated optical stations of technical systems (complexes) of the test site (testing organization) (hereinafter referred to as TSCP), as well as the error introduced by the operator of automated stations on the total error of external measurements. The methodological apparatus of applying the factor analysis methods in identifying the single factor significance for the total measurement error is recounted in detail. The article presents the analysis of various radioengineering methods for the aircraft eigen coordinates determining during flight experiments aimed at obtaining their actual flight characteristics. The importance of technical means (complexes) of test sites for independent and high-precision assessment of coordinates and speed characteristics of aircraft is demonstrated.

An approach to identifying the materiality factors that introduce errors in the measurement results of various channels of TSCP is proposed. It is demonstrated that the coordinates of stars and other astronomical objects computed with the required accuracy can be accepted as reference values. Combined application of mathematical apparatus of the probability theory, mathematical statistics, analysis of variance and factor analysis allows forming a criterion for the significant and non-essential factors selection affecting the TSCP measurements accuracy. It allows accuracy and reliability assessing of the results of the aircraft external design parameters determining by technical means and complexes of the test site. The authors proposed a methodology for solving the said problematic issues.

Currently, composite materials are used in almost all sectors of society. Composite materials are most widely used in the development of aircraft systems, including unmanned aerial vehicles. The use of composite materials, on the one hand, improves the weight and size characteristics of objects, but on the other hand, worsens the electromagnetic ones. Thus, the trends in the use of composite materials, for example, in the construction of aircraft fuselages, are negative from the point of view of ensuring their electromagnetic compatibility. The use of composite materials worsens electromagnetic characteristics, which is due to their low and frequency-dependent electrical conductivity. Due to their low electrical conductivity and anisotropy, composite materials have low shielding efficiency. The lack of proper shielding eliminates the first line of protection of on-board equipment from external electromagnetic influences and intra-system interactions. In this work, experimental studies of the electromagnetic characteristics of a composite material sample are carried out. An experimental stand is proposed for studying the electromagnetic characteristics of a composite material. The composite material is a layered fiberglass material. The middle layer of the composite material in question is made of a plastic porous structure with embedded metal strips. The results of experimental studies of the electromagnetic characteristics of a composite material sample were obtained. The shielding efficiency of a composite material sample is quite low. In this case, the electromagnetic fields generally pass through the test sample of the composite material without noticeable attenuation. The effectiveness of sample shielding at different frequencies is uneven, which is due to the design of the composite material and resonance effects. To improve the electromagnetic characteristics of the material sample under study, it should be recommended that one of the outer layers be made using carbon fibers, which should increase the shielding efficiency without increasing the reflection coefficient.

Modern telecommunication systems and communication networks development is being accompanied by a permanent growth of the transmitted messages volume and speed. High demands are placed herewith on the transmitted information reliability, both in wired and wireless systems. The problem solution to the of transmitted information reliability increasing is the error-correcting convolutional coding and decoding methods application. At the same time, Russian telecommunications companies are showing interest in domestic developments in microelectronics to ensure target indicators of domestic communication systems noise immunity.

The purpose of this article consists in the topology designing of an integrated circuit for codec of algebraic convolutional (n, k)-code. The work was funded by the Ministry of Education and Science of Russia within the framework of Federal project “Training of personnel and scientific foundation for the electronics industry” according to the State assignment for the implementation of research work “Development of the Technique for Electronic Component Base Prototyping with Domestic Microelectronic Production based on the MPW Service (FSMR-2023-0008)”.

The authors considered a coding algorithm, defining a convolutional code in a polynomial manner through a set of generating polynomials. This approach allows determining the convolutional code parameters at the design stage. Two decoding algorithms have been proposed: the Viterbi algorithm and the algebraic decoding algorithm.

The integrated circuit topology of the algebraic convolutional codec has been designed, and its main parameters description has been performed. These parameters are as follows: the number of chip contacts is 52; the size is 20 х 20 microns; maximum operating frequency is up to 250 MHz, and peak consumption is of no more than 200 mA.

The integrated circuit of the algebraic convolutional codec allows both algebraic decoding at the length of the code word section and Viterbi decoding applying soft decision metrics.

As the result of modeling, the following values of the E_b/N₀ ratio for bit error probability of q_bit = 10^–3 were obtained: 5.68 dB at R ≈ 2/3 and 6.12 dB at R ≈ 1/2 and 6.91 dB at R ≈ 1/3. The obtained values for the E_b/N₀ ratio for the bit error probability q_bit = 10^–6 corresponds to the following values: .23 dB at R ≈ 2/3; 8.41 dB at R ≈ 1/2 and 9.18 dB at R ≈ 1/3.

As of today, the UAVs application covers both peaceful and military spheres of human activity, which highlights various tasks of their functioning optimization and modeling. The wide prevalence and development of theory and practice of the UAV group flights has naturally led to the solution of many issues on ensuring high efficiency of data transmission in the communication networks of the UAV group. In military conflicts, the struggle of the opposing sides often leads to collateral flights of various drones, in which drones of the opposing sides participate. The drone of one of the contending sides herewith may be tasked with silencing or disabling the drones of the opposing side. The purpose of the study is to determine the conditions for neutralizing the effects of powerful radio emission emanating from a special-purpose drone, which function consists in neutralizing drones of the other side. The authors considered a scheme, in which the second party to the conflict employs a drone carrying a powerful generator of silencing electromagnetic radiation of the same wavelength on which the drones of the first party operate to jam and neutralize the functioning of the drones of the first party. The case of radiation propagation along the line-of-sight trajectory is being considered. The condition justified by the necessity of the minimum possible deviation of the attacked drone from the originally set trajectory is determined. The problem of optimal retreat from the initially set trajectory of the attacked drone due to the effects of damping electromagnetic radiation was formulated and solved. The condition of achieving minimum impact of the damping electromagnetic radiation of the second party drone on the first party drone is determined.

The article presents the results of scientific and methodological approach to the possibility of solving the problem of motion parameters autonomous determining of non-cooperated orbital object in the form of the orbit elements. This requires measuring relative flight parameters of the orbital object flyby in the area of the spacecraft. Measurements are being conducted by the spacecraft onboard optoelectronic equipment. The zenith distances of the orbital object at characteristic points of the spacecraft orbit and the orbital object flyby time between these points are selected as the measured parameters. Such characteristic points of the orbit are the locations of the spacecraft at the moments when the orbital object crosses the plane perpendicular to the plane of the spacecraft and the plane of the spacecraft orbit. The obtained information is being processed employing a multilayer feed forward neural network. The output of the neural network is used to determine directly the motion parameters of the orbital object.

The obtained results can be implemeneted in the design and research of neural networks for autonomous of the orbital object motion parameters determining based on the results of its observation from the spacecraft with optoelectronic devices. The article considered the effect of the neural network size changing in both the number of internal layers and the number of neurons in each layer on the accuracy of solving the problem of motion parameters determining of an orbital object.

The subject of the study is a technical object in the form of a vibration technological machine used in the implementation of technological processes associated with vibration hardening, transportation, sorting, etc. The technical object under consideration contains mass-inertial and elastic elements.

The purpose of the study is to assess the possibilities of changing the dynamic condition of a vibration technological machine by adjusting the parameters of the constituent elements to obtain stable dynamic operating modes of the technological equipment in question.

As a research tool, structural mathematical modeling is used, based on the use of dynamic analogues of the original design diagrams of vibration technological machines in the form of mechanical oscillatory systems with several degrees of freedom, which are structural diagrams of automatic control systems.

The main results obtained during the research include the construction of a mathematical model of a vibration technological machine, which allows one to assess the dynamic comdition of the technical object under study, as well as change parameters to obtain motion modes in which there are no angular vibrations of the working body of the vibration technological machine.

The use of the obtained results is possible when modernizing and designing vibration technological machines by introducing additional elements into their structure, the parameters of which can vary depending on the type of technological process. Based on the proposed method, a control system for the technical object under consideration can be created.

The conducted research allows us to propose a method for assessing the dynamic interactions between the elements of a vibration technological machine.

In complex automated control systems (ACS), specifically in the control systems of the space-intended rockets (SIR) singular defects manifest themselves in the form of short circuit in the electric circuits. The authors propose a new search algorithm, which reduces the number of search steps through a combined strategy of partitioning the initial set of possible defects.

The strategy being proposed includes the principle of half-partitioning and sequential enumeration of possible defects. It differs from the well-known strategies, such as exhaustive search, half-partitioning and mixed strategy, allowing not only detecting the presence of a defect, but identifying specific circuits that communicate with each other with a minimum number of checking steps as well.

The obtained research results of the study can be employed in the development of monitoring devices for electrical equipment of ground and on-board systems, which ensusre monitoring and detection of defects during the preparation of the SIR for launch. Both external and internal factors may cause changes in the technical condition of electrical circuits during operation. Defects, especially short circuits between the circuits, are especially dangerous and do not allow for he safe operation of the products.

The purpose of the study consists in reducing the number of check steps to detect the fact of the short circuit absence and indicate the circuits numbers that have a short circuit between them, in the event of a short circuit being detected in electrical circuits.

The authors propose to employ original heuristic algorithm for generating sets of tested circuits to achieve this goal. This algorithm allows generating a terminal minimum set of pairs of circuits with supposed presence of the short circuit. This approach reduces the number of necessary pairwise checks at the stage of sequential enumeration of the checked pairs of circuits.

In conclusion, the proposed strategy for the single defects searching in electrical circuits is the best one, since it requires fewer elementary tests to monitor and search for the short circuits. Such strategy realization is relatively simple with modern control tools based on computing and switching devices. The assumption of a single short circuit is acceptable for normal operating conditions, but in case of deviations a repeated round of checks is necessary.

The processes of the on-board equipment mounting involves a considerable amount of work to ensure the interchangeability of elements comprising the systems, as well as testing and fine-tuning their output parameters, which requires accounting for specific operating conditions, thermal, mechanical and other loads, starting from the stage of preliminary design (technical proposal).

Attention is paid herewith mainly to the mass-centering or thermal characteristics of the compartment, or the electromagnetic compatibility of the onboard equipment components. This approach is typical for the stages of a technical proposal development, and preliminary product design. But further, at the stage of working design documentation development (less often at the stage of technical project), a detailed study of the design for the layout of the compartment begins, leading to an increase in the importance of ergonomic, installation, overall requirements, especially for manned space vehicles. Ergonomic, mounting and overall requirements for the devices arrangement are interconnected since all of them refer to the same installation processes of the onboard equipment and its operation from different angles.

The dependence of mounting clearances on the design of fasteners on the masses of the installed devices was obtained based on statistical data. The method for assessing the onboard equipment belonging to a particular location zone has been proposed. Assessment of the anthropometric and physiological characteristics of the operator to control the ergonomic requirements meeting the devices layout occupies the central place in the study.

Calculation formula for correcting the electronic geometric models coordinates of the on-board equipment in the event of intersections with the structure was proposed. Testing was performed on the example of one of the large-sized manned spacecraft for scientific purposes. The role of electronic and material modeling was also noted to confirm the prototyping results. The software created in the course of the work is supposed to be employed in the development of design documentation at space engineering enterprises after extra updates to the algorithm.

The article presents an analysis of existing methods and control means employed onboard a modern aircraft. The author substantiates the necessity and possibility of increasing the depth of search for the failure location by the machine learning methods application, allowing automatically create and employ diagnostic models being difficult to formalize. A modified algorithm for the onboard equipment information-transforming elements diagnosing of was developed. The algorithm is based on machine learning through interaction with a multiplex information exchange channel, with a modification of the algorithm in terms of using a block for automatically assigning optimal training parameters, according to the criterion of ensuring its full autonomy (training without a teacher), due to preliminary analysis of the training sample for each information-transforming element. The article considers the problem of the external disturbing impacts effect on the result of the information-converting elements of onboard equipment diagnosing. To compensate for these impacts, a modified Kalman filter with automatic determining of optimal filtering parameters is applied for each information-transforming element, due to the training sample preliminary analysis. The developed algorithm combines the integration (ensembling) of the three machine-learning models, with the majority principle of generating at the output the control result of each information-transforming element using the “two out of three” method, to increase the control results reliability, as well as minimize the likelihood of first and second errors of the second kind when diagnosing. In this work, by information-converting elements the onboard equipment performing its functions through the multiplex information exchange channel is meant. The aircraft recovery time is expected herewith to be reduced by minimizing the time for the failure location searching, which will allow increasing the main complex indicator of the aircraft reliability, namely the availability factor.

The article studies the system technology application in the process of the of digital twins development for employing in the engine manufacturing industry. The authors define the basic requirements and specific features of creating digital twins, as well as consider a systemic-linguistic approach to the formal models forming of the subject area being studied. This approach allows ensuring the proper level of formalization in the process of creating digital twins of both real and virtual objects, while maintaining their cause-and-effect relationships. The authors consider as well the logic of digital twins representing in the space-time Minkowski coordinate system, with account for the cybernetic principle of their physical realizability. As an example of this methodology application, the authors present system models of meta-languages and system models of gas turbine engines (GTE), as objects of management and control, as well as a model for the GTE resources formation starting from the technical proposal stage for their development. Thus, the results of the analysis of enhancing of the systems engineering principles and methods efficiency while digital twins developing are presented.

Flight safety remains a priority challenge in the aviation industry. The transition to predictive technologies seems to be the most promising way to meet this challenge today. Continuous monitoring of power plant characteristics, on-board equipment, airframe structure health status and the flight crew actions during operation allows early identification of prerequisites for failures or flight incidents or accidents in order to take measures to prevent and counteract them. This paper considers some promising areas of research aimed at building an integrated flight safety management system, including a system to monitor the state of aircraft structure, the condition of power plant and the current flight situation as a whole. These researches should result in demonstrators of the proposed technical solutions and technologies discussed in this paper.

The researches of on-board systems for aircraft structure health monitoring include the three following areas:

1)                monitoring of accumulated growing fatigue damage (safe operation life monitoring);

2)                monitoring of structure integrity (detection of cracks, corrosion pits, etc.);

3)                impact damages events monitoring (localization and impact energy recovery).

The first of the three focus areas mentioned above is the most elaborated one. Progress in the fiberoptic technology opens the prospects for fitting all aircraft by system of optic strain gauges and improving technology of accumulated fatigue damage monitoring. On-line monitoring technologies of airframe integrity and impact damages localization are now at a stage of laboratory study.

At the present time, electric power supply actuators are widely used in unmanned vehicles and they have some prospect to be used in the advance “more electric” aircraft. Therefore, its health status has to be revising in operation. Monitoring technology for electromechanical actuator and its demonstrator are discussed in the paper.

One more research area for flight safety is monitoring of flight situation and prediction of its progress. The advanced runway overrun awareness and alerting system, its functionality, architecture and ground based demonstrator are discussed.

At the current time, unmanned aerial systems (UAS) are widely used in solving problems of real-time monitoring, ecological exploration, inspection of protected areas, as well as in the creation of various media content. One of the main channels for obtaining information is the optical channel.

The article discusses the relevance of the problem of the confidentiality ensuring of visual information received by optical sensors of (UAS). The inference is being made that the main factor hindering the implementation of algorithms data protection received by the civil UAS optical sensors is their computational complexity. In this respect, to searching for and implementing mathematically simple protection techniques seems to be expedient. The authors propose employing matrix masking as an alternative as an alternative to the cryptographic methods for the discussed problem solution. Masking specifics of the full-color images and video stream frames received by the UAS payload are being considered and analyzed. The results of the analysis reveal that masking results in color images reduction to a noise-like form with complete destruction of the contours of the original image, making any visual analytical analysis impossible in the case of equal image sizes and key-matrix sizes. The authors revealed that the full-color images masking has its own specifics in contrast to the halftone images masking, and, as a consequence, ensure better pixels mixing and better contours destruction of the initial image compared to the halftone images masking. Masking with the small-size key matrices thereby becomes possible.

The article analyzes the necessary parameters of the functioning of a demonstration solar space power plant with a laser energy transmission channel. Currently, there are also physical and technical problems that complicate the implementation of space solar power plants. This is the need for large mass-dimensional parameters of solar power plants for energy collection, the need to create an energy transmission channel with high efficiency and high precision guidance and ensuring the thermal operation of solar power plants at high capacities.

The authors consider the basic parameters of such power plants. The transmitted power of laser radiation from the spacecraft is in the range of 10-100 kW. The diameter of the mirrors of the laser emitter is selected within 1÷5 meters. The choice of the orbit height, which is limited to the following options: geostationary orbit, sun-synchronous orbit with a height of 500-1000 km and elliptical orbit of the "Lightning" type

An important condition for the transfer of energy from a demonstration solar power plant to an Earth site is the size of the laser spot and its spread. Their total value should not exceed the size of the surface of the earth's phototransformers, the accepted diameter of 100 meters. Detailed calculations were carried out for a mirror diameter of 2 meters.

When determining the design appearance of a demonstration space power plant, in terms of geometric dimensions, the area of solar panels of such a power plant was estimated, depending on the estimated power and efficiency of the photo converters.

Currently, it is very difficult to estimate the design parameters of such a spacecraft, especially the mass-dimensional ones, but as can be seen from previous estimates, they will be very significant. Modern space technology makes it possible to estimate such a demonstration space power plant in the range from 5 to 8 tons.

The work is devoted to the study of the issues of the effectiveness of the functioning of the on-board computer complex of the Earth remote sensing spacecraft in the process of data collection and processing, depending on the phono-target situation.

The issues of choosing the optimal planning of computing resources on the means of the onboard computing complex of the Earth remote sensing spacecraft in conditions of a difficult-to-predict increase in computing load are considered.

In cases where it is necessary to process information about a large number of observed objects, some of them may not be identified. First of all, this is due to the imperfection of existing information processing algorithms. In some cases, the information frames received for processing have very poor image quality as a result of the influence of various disturbing factors. In this regard, it becomes necessary to use all available computing resources to process information about difficult-to-identify observable objects. With large volumes of input information, as well as when solving a variety of tasks by an on-board computing complex, computing resources can be distributed unevenly. Some of the useful information may be lost, which will lead to a decrease in the reliability of the identification of surveillance objects.

The paper describes a step-by-step method for finding optimal planning of computing resources.

Due to the optimal planning of computing resources, or the redistribution of solved tasks or subtasks between all available computing modules, it is necessary to establish the dependence of the probability of reliable detection of observed objects on the quality and intensity of incoming information for processing.

In the work, the problem is formulated and the method of searching for optimal planning of computing resources is gradually described.

To solve the problem of planning computing resources, a simulation experiment was carried out, which is implemented in the software and algorithmic complex of the functioning of the onboard computer complex of the Earth remote sensing spacecraft in the object-oriented programming language C++.

When planning computing resources, the proposed approach takes into account the dependence of processing time on the number of observed objects received in information frames with low image quality, which can reduce the loss of useful information and thereby increase the reliability of the identification of observed objects.

After choosing the optimal plan of computing resources, the loss of useful information decreased, as a result of which the percentage of identifiable objects of observation increased.

The authors conducted a study on the practical implementation of the approach to the message sources of limited length authentication. This approach is based on the coding application in the blocks chaining mode. Organization of the address space for the intermediate calculations results storing, which are presented in the form of an oriented tree graph, is described. The article demonstrates the possibility of identifying sections for each such graph where its modification occurs, and the sections, which turned out to be unmodified at certain stages of the authentication procedure execution. Such a difference in access modes is a prerequisite for organizing a system of parallel processing of these graph structures.

The article demonstrates as well that application of this memory organization allows dividing the entire procedure of processing a message of limited length into five stages. Of these stages, the three can be implemented by specialized modules that operate in parallel and access the disjoint areas of the register matrix. Implementation of asynchronous parallel operation of modules, executing decoding operations of the incoming data packets, their placing in the disjoint areas of register memory and analyzing the results of intermediate calculations allows to increasing the authentication procedure speed.

An assessment of the theoretically achievable level of parallelization of the message processing procedure was performed as well. The assessment revealed that the bit depth of the authentication code determines the nature of the maximum level of parallelization dependence on the number of interacting sources. In case of the code bit depth exceeds the theoretical applicability limit of the approach based on coding in the block coupling mode, it is advisable to employ no more than five decoding and processing blocks in a tree-like system for parallel operation, while dividing the memory space for storing intermediate results into an appropriate number of areas.

The main purpose of the work consists in evaluating the requirements feasibility for target values ensuring of angular velocity of a small Earth remote probing spacecraft with account for the temperature shock.

The temperature shock phenomenon of solar panels occurs while a spacecraft movement from the Earth shadow to the sunlit parts of the orbit or, vice versa, when it enters the Earth shadow. In these cases, the heat flux from the Sun sharply changes, which significantly affects the bulky elastic elements (solar panels, radiators, antennas, etc.) of the spacecraft. Thus, the exit from the Earth shadow is accompanied, for example, by the heat flux origination, and dashing heating of bulky elastic elements. Heating, in its turn, leads to their temperature deformations. This factor is the cause of perturbations that affect the spacecraft motion, especially when it comes to a small spacecraft, since in this case mass ratios of bulky elastic elements to spacecraft the total mass are much higher. Thus, the studies of temperature shock for a small spacecraft are most relevant.

Analysis of a number of studies reveals that the temperature shock phenomenon leads to the accuracy decrease of a small Earth remote probing spacecraft guidance at the target object, and reduces the quality of the target task performing. In separate cases, there was even talk of possible stability loss of a spacecraft itself.

The article deals with the of temperature shock impact of solar panels within the framework of one-dimensional heat conduction model. A thin plate is being used as a first approximation model of solar panels. A 1D thermoelasticity problem has been set to study the stress-strain state of the plate. This problem solution is the of the plate middle layer deflection occurring due to temperature shock.

The dependences of perturbing factors on the temperature shock were obtained in this work. The motion parameters of a small spacecraft resulting from these perturbations were estimated.

Numerical modeling was performed with the Wolfram Mathematica for the EO-1 small Earth remote probing spacecraft.

As the result of the research, the values of angular velocity of the EO-1 small spacecraft were evaluated and the feasibility of angular velocity requirements for modern small Earth remote probinng spacecraft was analyzed. The results of the work may be employed in performing Earth remote probing tasks by small spacecraft.

The relevance of the study is determined by the fact that fluctuations of inertial masses are found everywhere. In the field of construction and use of aviation and rocket technology, this topic is of particular importance. Like a three-dimensional plane coordinate system in the coordinate plane Z, a multidimensional system with n axes 0x_z1, 0x_z2,..., 0x_zn shifted relative to each other by angles 2π/n can be considered. There is an arbitrary vector  R emanating from the origin 0. R ⊂ Z . It is proved that the points x₁,x₂,...,x_n, which are the coordinates of the end of the vector R in the coordinate system 0x_z1, 0x_z2,..., 0x_zn, are the vertices of a regular polygon. The shape and dimensions of the polygon are not related to the coordinates of the vector R, i.e. are unchanged. The center of a regular polygon in all cases coincides with the middle of the vector R . In the considered (idealized) case, the polygon, at the vertices of which there are oscillating weights of masses m, lies in the Z plane. multi-piston mechanism). In the considered multidimensional plane monoreactive oscillator, free harmonic linear oscillations of loads can occur. In this case, only kinetic energy is involved in the energy exchange. There is no need for elastic elements. The oscillator does not have a fixed natural oscillation frequency. The frequency depends on the initial speeds and positions of the weights. A regular polygon x₁,x₂,...,x_n makes a double rotation – around the point 0 and around the point r. At the same time, the loads carry out linear harmonic oscillations with amplitude R. The use of a crank-slider or crank-and-rod mechanism will allow organizing the parallel movement of goods.

The article considers transverse vibrations of conservative mechanical systems in the form of hinged beams of the refined S.P. Timoshenko theory with deformable intermediate supports. Deformation processes in beams resulted through the concentrated inertial forces application moving at a constant speed. Solution of the direct problem (the problem of determining parameters of the stress-strain state of a beam from a given value of the moving force) was obtained in the form of expansion in Fourier series, followed by the application of operational calculus. The inverse problem of the deformable solid body mechanics, which consisted in identifying the forces in the supports according to the given deflections under the moving force, was considered on the example of the mechanical system under study as well. As long as the inverse problem posed in this way relates to the ill-posed ones (an insignificant change in the initial data corresponds to an arbitrarily large change in the calculation results), A.N. Tikhonov’s regularizing algorithm was applied to obtain a stable solution. A technique for the regularization parameter α computing is presented. Both the results of the beam deflections computing at the point of the moving force application and the results of identifying the forces in the supports of a six-span continuous beam structure, obtained with the same stiffness values of all five elastic supports, and with a change in the stiffness of one of them (the second one) are presented. Such numerical experiment was performed to illustrate the possibility of employing the proposed method, which opens up as a result of the proposed technique application, for example, in construction practice to identify defects in the supports of structures that perceive moving loads without stopping movement along them. All relevant information on the state of structures can be obtained employing a vehicle equipped with the necessary sensors. For the said two computational cases, the time dependences of the forces in the supports, obtained both as the result of solving direct and inverse problems, are presented in the form of graphs of the corresponding functions. For the considered cases of the structure loading, the results of the largest displacements computing in the most loaded span of the beam and the maximum elastic forces arising in the most loaded support are presented as well.

The study considers numerical and analytical modeling of the stress-strain state and force characteristics during expansion of the thin-walled pipe blanks in a curved axisymmetric matrix. The equilibrium equations of the momentless theory of thin axisymmetric shells with regard to the nonlinear plasticity, changes in wall thickness and contact friction are employed when developing the model. The computations are based on the numerical method of variable elasticity parameters, which allows determining stresses and strains; the thickness distribution in the meridian section; the amount of contact pressure, as well as to plot the change in the force distribution depending on the application point displacement of the force relative to the matrix. A mathematical model for the stress-strain state of pipe blanks estimating during expansion is developed for a matrix, which profile is described by an arbitrary function. The numerical technique for the stress-strain state computing is based on the variable elasticity parameters method, which allows solving the problem of expansion in an elastic-plastic formulation. Besides, the developed model accounts for the material compressibility during elastic strain. Based on the numerical computing results, the distribution of meridian and circumferential stresses and logarithmic strains, as well as the of logarithmic strains distribution over the workpiece wall thickness are presented. An assessment of the contact pressure during crimping is performed, a decrease in the relative thickness of the workpiece along the length during distribution is noted herewith. The iterative computation process convergence by the of variable elasticity parameters method was estimated by the position of stress intensities and logarithmic strain intensities relative to the deformation diagram of the material. The proposed problem solution of the pipe blanks expansion may find application in the field of aircraft engineering in the development of thin-walled shell structures for aviation purposes.

Specialized wear-resistant antifriction materials and coatings are applied in space technology in friction nodes, which can work in open space and (or) atmospheric conditions of the planets under study. All antifriction and wear-resistant materials and coatings can be conditionally divided into liquid lubricants (oils), greases (pastes), antifriction solid lubricants and self-lubricating (antifriction) materials. Greases are soft ointments of dense thick consistency and are intended to reduce the friction force in mechanical assemblies, decrease the rubbing pairs wear, prevent tearing and jamming, and ensure the necessary service life of the friction unit. In the products developed by S.A. Lavochkin NPO, four brands of antifriction lubricants are most often used: TSIATIM-221, VNII NP-220, VNII NP-274, VNII NP-284. They have been widely tested on the Luna, Venus, Mars, Forecast and Cosmos spacecraft series. When the pressure is reduced to 0.1–10 Pa, the lubricants performance is significantly reduced. The solid lubricating coatings application allows successfully solving the problem of friction and wear reduction of open friction units. These coatings represent a mixture of powdered lubricants dispersed in binder (film-forming) polymer materials and diluted with solvents to the required viscosity for spraying them on the friction surface with subsequent heat treatment. The following solid lubricating coatings are employed in the products of NPO Lavochkina JSC: VNII NP-212, VNII NP-213, VNII NP-230, VNII NP-512, EONITE-3, in which the filler is molybdenum disulfide, or a mixture of molybdenum disulfide with graphite. As an alternative to the NP-512 Research Institute, MODENGY-1001 and MODENGY-1002 TSPS have been introduced. A significant limitation on the application of molybdenum disulfide coatings consists in the fact that at temperatures above +400°C, MoS2 begins oxidizing intensively. When molybdenum disulfide is oxidized, molybdenum trioxide is formed, which lubricating properties change to the abrasive ones, which does not allow them to be employed in the atmospheres of the planets of the Solar System, primarily Venus. In this regard, the task arises of selecting materials (friction pairs) of friction units of spacecraft that descend in the atmosphere, land and work on the surface of Venus, which can function at temperatures above +450°C, which can be achieved only through the use of self-lubricating antifriction materials. New promising self-lubricating antifriction materials are proposed: carbon-carbon containing composite materials, partially stabilized zirconium, zirconium 702 coated with micro-arc oxidation. As response materials (counter body), it is proposed to consider the most common structural metal materials of spacecraft: 40X13, 30XGSA steels, aluminum alloy AMg6, titanium alloy VT6. Their laboratory testing and tribological tests are required to confirm the feasibility and feasibility of their use for friction units operating in open space and (or) the atmosphere of Venus.

External heat transfer regulation is one of the fundamental tasks for a spacecraft operation. Thermo-optical coatings and EVTIs are being related to the external heat exchange control. A typical conventional EVTI coating consists of 10-120 metallized polymer films separated by glass fibers (glass voile) or polyester meshes. EVTI is the best thermal insulation material for vacuum applications and is the preferred insulation material for both spacecraft and cryogenic systems. However, traditional EVTI displays a number of disadvantages, such as its difficulty or impossibility to maintain the required value of the gap between the film layers; the difficulty of ensuring stable performance characteristics; complex manufacturing and installation process. EVTI may be subjected herewith to the mechanical impacts not only while installation, but during operation as well. All this may lead to the changes in the tacking screens density, resulting in unstable thermo-physical characteristics. The work deals with the istudy of the radiation dose impact on physical and mechanical characteristics of polyimide films with metallized coating of screen-vacuum (EVTI) thermal insulation elements. The tensile test of rectangular samples produced by SPE Polyplen of PM-1EU-OA grade with aluminum coating was performed. Preliminary part of samples was subjected to radiation equal to 25 kGy, 50 kGy. In the course of the study the following diagrams were obtained: the stress-strain diagram determined at tensile tests of the sample, and displacement-loading of the sample. The level of radiation effect on each studied parameter was determined.

The article presents the results of studies nce of the of initial deformations anisotropy effect on the axial, circumferential and radial distribution components of residual stresses in the hardened layer of cylindrical samples, depending on the type of surface hardening. Parameters in the hardened layer of cylindrical samples from the steel 45 after hydraulic shot blasting were assumed as the basic option for computations. The ratios between the components of the initial strains were being accepted depending on the types of surface hardening. Their ratios were being considered at chemical-thermal treatment (CTT), hydraulic shot blasting (HSB), and roller running (RR). Computations were performed on finite element models of smooth cylindrical samples with diameters of D = 10 mm and D = 25 mm. The initial deformations distributions over the hardened layer thickness are assumed to vary according to a linear law (the maximum value on the surface and the zero one at the maximum hardening depth). The necessary for the studies volume of computations was performed in the environment of the PATRAN/NASTRAN software package. Cylindrical samples modeling was performed in an axisymmetric formulation of the problem with the initial deformations replacement by the respective temperature fields. The results of the tests revealed that with all types of hardening radial stresses had positive values over the hardened layer thickness. Both radial and axial components of the initial deformations do not affect significantly herewith the residual stresses over the hardened layer thickness. Hence, the components ratio of the initial deformations does not as well play a significant role in assessing the effect of the residual stress-strain state on the endurance limit of hardened parts, which is determined, for example, by the mean integral residual stresses criterion.

Sprinkler systems of nuclear power plants (NPP) are one of the key mechanisms for eliminating the consequences of design basis accidents, which stipulates high requirements for the development of nozzles as parts of sprinkler systems. The article presents the results of computational experiment of sprinkler nozzle functioning in the continuous medium formulation, employing Continuous medium morphology and Dispersed medium morphology. Average sizes of dispersed particles were determined for the computational experiment in the formulation with regard to the medium dispersity. The basic parameter of the sprinkler nozzle, namely the angle of the torch atomization, was determined on the experiment in the wide range of the flow characteristic. The computational experiment results validation and research tests of the sprinkler nozzle was performed, which results revealed the high degree of uncertainty in the continuous medium formulation, with relative error reaching up to 25%, and high degree of certainty with the dispersive medium formulation with relative error less that 3% in each experimental point. The above said is indicative of the possibility of cost reduction on the sprinkler system and test rig development by natural tests replacing with the computational experiment.

In this paper, free oscillations of an ideal stratified incompressible fluid in a rotating cylindrical vessel are considered under the assumption that the equilibrium motion of the fluid is the rotation of a solid body. The problem of oscillations of an ideal incompressible rotating stratified fluid in the field of centrifugal inertia forces is studied. Rotating fluids are not only of scientific interest, but are also important in nature and technical applications. In technical applications, rotating liquids are found in centrifuges, in the hollow shafts of liquid-cooled turbines, in stabilization of rocket rotation, in zone-melting processes of single crystal growth. Recently, there has been interest in studying the oscillations of a stratified fluid filling a vessel of finite dimensions used in various fields. In this paper, we focus our attention on the consideration of some issues related to the problems of oscillations in a stratified fluid. Some results obtained by us in the study of the problem of natural oscillations of an inhomogeneous rapidly rotating fluid that partially fills a cylindrical cavity and completely fills a coaxial cylindrical cavity of a solid body are presented. The eigenfunctions of a fluid and the eigenvalues of free oscillations of a stratified fluid filling a cylindrical cavity of a solid rapidly rotating around its vertical axis of symmetry are obtained. For sufficiently large values of the angular velocity of motion of a solid body with a liquid, the case under consideration is equivalent to the case of rotation in conditions of complete weightlessness. Numerical calculations of the eigenvalues of normal fluid oscillations at a constant buoyancy frequency are presented in the form of tables and graphs with boundary conditions for internal and surface waves.

Carbon deposition in the injectors fuel channels may occur in the gas turbine engine combustion chambers, which depends on both chemical and fraction content of the fuel. Operation of the combustion chamber with injectors subjected to carbon deposition leads to combustion processes changing in the flame tube, which in its turn may lead to the combustion chamber failure. Thus, technology development, which would allow performing the channels cleaning from the depositing products is up-to-date.

Up to date, diethylene glycol, sulphur trioxide and other solvents are being applied to remove hydrocarbons with strong inclination to carbonization. Ways for hydrocarbon fuels stability enhancing are being employed as well. Hydraulic cleaning is considered to be the most advanced method.

The article adduces the results of the study on the magnetic fields impact on the degree of fuel injector channels cleaning off fuel decomposition products. It describes the fuel injector design and provides he scheme of installation employed for the injector studies. Ьodes and parameters for conducting experiments are listed.

At the first stage, the initial flow characteristic of all four injectors was measured at fuel pressures range from 0 to 3 MPa by ten points. Then the injector flushing was performed by feeding electromagnet with AC (V = 28V, I = 1.9 A) for ten hours. The injector flow characteristic was measured after each hour of operating time.

Nonlinear problems of the dynamics of a rigid body with a cavity filled with several fluids are of considerable applied and theoretical interest. The article shows that with the help of the variational principle, written in a form different from the traditional one, it is possible to obtain a complete set of equations of nonlinear motions of liquids, including nonlinear kinematic and dynamic conditions on the interfaces of liquids filling the cavity of a solid body that performs a given movement. The variational formulation of the problem of dynamics has certain advantages, for example, from the point of view of substantiating the necessity and sufficiency of the derived equations and boundary conditions, and considering the body and fluid as one system allows one to achieve a certain multiplicity.

The article is devoted to the definition of differential equations for the generalized coordinate motions of a two-layer liquid in the cavity of a solid body performing a given motion in space. In the article, the formulation of a nonlinear problem about the motions of immiscible incompressible ideal liquids that completely fill a cylindrical cavity is formulated, and velocity potentials are given for each liquid. When obtaining differential equations for generalized coordinates of non-linear movements of liquid interface surfaces, the variational principle of Hamilton – Ostrogradsky is used, in which a modified Lagrange function is used. As a result, infinite systems of nonlinear differential equations were obtained for the generalized coordinates of the problem under consideration in the complex motion of a rigid body, as well as differential equations in particular cases.

The paper investigates the possibility of using liquid crystal displays as photomasks for transferring a conductive pattern to a photosensitive material using ultraviolet light in the manufacturing processes of printed circuit boards. The work is devoted to solving the problem of non-uniformity of ultraviolet radiation in the laboratory prototype of the direct exposure machine based on the liquid crystal matrix in the production of printed circuit boards to improve the reliability of the exposure operation.

The method of equalization of radiation by using a compensating mask is proposed. It involves overlaying an additional image with different transparency rates on the pattern displayed by the liquid crystal matrix. Transparency of the mask should be selected in such a way that after exposure in each point of the working field the shade of the photoresist color is the same and coincides with the lightest part of it.

In the work, an algorithm for creating a compensating mask by evaluating the color change of photoresist was formalized and an experimental study was carried out, which confirmed the effectiveness of the proposed method. The analysis of the histograms of the brightness of the green component of the images obtained with and without the application of the masking template showed a 51% reduction in the standard deviation. Thus, the considered method allowed us to significantly reduce the problem of non-uniformity of ultraviolet radiation distribution in the prototype of the direct exposure unit, which made it possible to increase the reliability of the technological operation of exposure using the developed unit.

The issues of improving the accuracy and reliability of navigation information by combining signals received from different sources are considered. It is proposed to solve the problem using a modified Kalman filter selected as a result of a comparative analysis of known implementations in terms of accuracy and computational complexity. The software implementation of the algorithm is performed in the MAVROS environment. One of the most important tasks of the flight controller of an unmanned aerial vehicle is to evaluate the state vector. In general, this vector is multidimensional. The aim of the work is to select a method and develop an algorithm for determining the state vector by combining navigation information. The solution of the problem of aggregation of data obtained from independent sources is provided, as a rule, by nonlinear Kalman filtering. The classical algorithm is the extended Kalman filter EKF (extended Kalman filter), which is based on the linearization of the right part of the stochastic model to estimate the mathematical expectation of an unknown state vector and covariance matrix. EKF is one of the very first algorithms proposed for solving such problems. To date, there are more modern Kalman filters – sigma-point UKF (Unscented Kalman Filter), invariant extended IEKF (invariant extended Kalman filter), quadrature QKF. In this study, Nvidia Jetson Xavier NX was used as a hardware platform, which allows the use of resource-intensive algorithms for integrating navigation information. The use of special computing modules makes it possible to unload the flight controller and makes it relevant to study the effectiveness of modern Kalman filtering algorithms.

The article deals with the problems of the serviceability determining of radio–electronic stations of technical systems (complexes) of the test site (testing organization) (hereinafter – TSKP). An example of the normalized accuracy characteristics determining of optical stations of external vector measurements based on high-precision data on the of astronomical position bodies is being considered. The authors proposed a methodology for solving the identified problems, consistin in determining the discrepancies, applying a method for combining various general aggregates of the obtained results of high-precision measurements, based on a comparison of the distribution centers of general aggregates for each measuring channel. The normal law of the of residuals distribution between different general aggregates assumption is applied. The article presents a mathematical apparatus applied to determine the reliability of the obtained results. The assumption is being made on the presence of expressed and significant factors affecting the error of each of the measurement channels. Attention is being drawn to the periodic certification importance for making an informed decision on the possibility of reliable and high-precision external measurements at the test site. With the degree of informativity and automation of control increase, technical means (complexes) of the test site become highly intelligent robotic measuring means, which serviceability and operability control is being performed both in the course of their current activities (continuous monitoring) and during special verification measures such as periodic scheduled certification of measuring instruments. References to the State Standards, methodological recommendations and the main literature on the subject under consideration are adduced.

The article deals with the analysis of the of the radio technical characteristics dependence of waveguides as a part of the spacecraft antenna-feeder systems, and manufactured by selective laser fusion, on the roughness of the channels conductive surfaces. The need for this work arose as the result of the additive technology (SLM) introduction, which opened the possibility for manufacturing new, complex-profile structures of the spacecraft antenna-feeder systems elements with geometry and radio technical characteristics (RTC) close to the computed ones. However, along with numerous advantages, the SLM technology has a significant drawback, namely, the increased surface roughness (Ra) of approximately from 6.2 to 20.0 microns. At the same time, the tolerances recommended in the regulatory and reference literature for the of the conductive surfaces roughness of microwave devices are significantly lower.

The article presents the main factors of the SLM process affecting the amount of roughness, as well as the developed scheme of studies to assess the effect of roughness on the RTX of waveguides.

According to the research program, angular waveguides with channel sizes from 8,6×4,3 to 35×15 mm and transition from 8,6×4,3 to 10,7×4,3 mm, as well as straight waveguides with channel sizes of 28.5×12.6 mm were manufactured applying SLS technology, from domestic aluminum alloy powder, the channels surfaces herewith were not processed.

Straight waveguides, were arranged while 3D printing in groups at different angles relative to the construction platform.

Further, measurements of the RTX of the manufactured waveguides were performed, comparative diagrams of the frequency dependence in comparison with waveguides manufactured using traditional technology were adduced. The results of the RTX measurements revealed, in total, satisfactory results that meet the requirements of the design documentation. The results of the roughness measurements of the waveguide channels surfaces are presented.

Based on the waveguides data on roughness and the RTX, summarized in tables, the analysis of the roughness impact on the RTX was performed.

The analysis revealed that the waveguides RTX was deteriorates with an increase in the average roughness of the channel, which depends on the position of the part on the construction platform during 3D-printing. Optimal is the position, at which the overhanging surfaces of the channels have the smallest area.

The results of the conducted studies give grounds to recommend the SLM technology application in the AFS KA waveguides manufacturing in the centimeter range without additional treatment of channel surfaces. It is necessary herewith to set rational modes of the SLM process.

The article deals with the issues of observation optimizing of civilian aircraft during cruise flight employing ground-based infrared recording equipment. All-in-all, the aircraft infrared spectral characteristics are the basis for its detection inflight. The main heat emitters of aircraft are the aircraft skin, heated while flight due to aerodynamic heating, as well as its engine and exhaust gases. Analysis of the ground observation possibility of civil aircraft in the daytime allows drawing the following inferences:

1. The flight speed increases monotonously up to the beginning of the descent stage.

2. The cruise flight altitude is almost unchanged.

3. The exhaust gases radiation is strongly attenuated by the atmosphere.

4. The emitted radiation during the cruise flight depends on the ambient temperature (air).

It was determined that the range of 2–4 μm was expedient for the ground observation and tracking of civil aircraft performing flight at daytime, where the basic component of the emitted radiation was the fact of the skin heating.

The author studied the issue of optimal dependence of the flight speed on the air temperature. The problem of the optimal relationship determining between the aircraft flight speed and the air temperature at which the skin temperature of a civilian vessel would reach an extreme value was formulated. The problem of unconditional variation optimization was formulated to determine optimal form of the said problem, and mathematical solution of this problem was adduced. The article demonstrates that if the civil aircraft flight should be unnoticed to heat detectors of the ground observation and tracking system, the flight should be perpetrated with the cruise speed inversely proportional to the air temperature value. Conversely, if reliable operation of the ground-based thermal detectors is required, then the above said regularity should be maximally avoided. Presumably, the first case refers to the situation when the aircraft and registering equipment belong to the conflicting sides, while the other case means that both the aircraft and heat detectors belong to the same owner.

The imminent expansion of application areas of high-tech products has also affected the field of unmanned aircraft systems. The use of unmanned aerial vehicles is finding increasing application in various sectors of the national economy, aviation, automotive, and the use of lightweight light unmanned aerial vehicles already covers up to 100 different sectors of the modern economy. The trend towards the use of unmanned aerial vehicles remains stable and is presumed to continue to grow in the digital economy. However, despite all the benefits, the use of drones also carries certain risks associated with the possibility of an accident that could result in the loss of the drone or damage to the environment.

Implementing emergency standards and regulations is an important aspect of unmanned aerial vehicles to ensure the safety of people, the environment, and property. In the case of multirotors, this critical capability takes the form of forced landing site selection. Common examples of events requiring an emergency landing are low battery, loss of ground contact, and deterioration in performance of satellite navigation systems. Since these emergency situations require an immediate landing, it is important to be able to have safe landing in a dense urban environment and complex transportation infrastructure. Therefore, the realization of emergency landing of a multirotor type unmanned aerial vehicle is an actual research area in the field of unmanned aviation. The use of analysis of underlying surface combined with machine learning methods and neural networks, will can significantly improve the efficiency of emergency landing methods, providing a more accurate assessment of the surface condition.

The paper presents the procedure for developing an algorithm for emergency landing of a multi-rotor unmanned aerial vehicle based on the analysis of the underlying surface image. The realization of the algorithm is carried out in two stages: image segmentation using the UNetFormer neural network and detection of a safe landing zone with the allocation of safe classes of objects observed in the frame, calculation of the occupied area of the unmanned aerial vehicle on the emergency frame and the range to the emergency landing zone selected by the algorithm.

The purpose of this article is to review the theoretical principles and practical methods for constructing a mathematical model of the control loop of a radio beam riding guidance system using modern computer simulation programs Mathcad and MATLAB – Simulink. The principles of constructing mathematical models of the control loop for a radio beam riding guidance system of a guided missile when aiming at a target by the method of combination (target covering) using modern computer simulation programs Mathcad and MATLAB – Simulink are considered. The construction of a model in the Mathcad environment using the method of numerical solution of a system of differential equations describing the control loop (modeling as a solution to the Cauchy problem), as well as the construction of a simulation model in the MATLAB environment – Simulink based on the mathematical apparatus of functional links, is considered. The modeling of the processes of missile guidance to an air target performing a maneuver with a given normal overload has been carried out. The trajectory of the control point, missile and target, obtained as a result of modeling, as well as the main phase variables of the model characterizing the process of aiming the missile at the target, are presented. The capabilities of the corresponding computer programs in modeling guidance systems are shown. The practical value of the work also lies in the possibility of using the developed mathematical models in the educational process for students to master the principles of construction and operation of guidance systems, as well as to develop the skills of mathematical modeling of the corresponding systems.

This article is devoted to testing the applicability of the hypothesis about the influence insignificance of the conjugate heat transfer between the reacting flow and the solid walls of the flame tube and gas collector on the calculated level of nitrogen oxide emissions. Because of this hypothesis, it is possible to significantly reduce the calculation time by reducing the number of elements of the computational mesh and simplifying the mathematical model. The object of the study is a single-phase multicomponent reacting flow of a fuel-air mixture. To describe the turbulent flow of the air-fuel mixture in the combustion chamber of a gas turbine, the Favre averaging approach of the Navier-Stokes equations was used. The SST turbulence model was used to close the resulting system. The system of equations was solved numerically using the control volume method. A combined EDM/FRC combustion model was used to find the rate of the mixture components formation. The turbulence model used in this work is hybrid, it is applicable for the parameter y plus ~ 1. To achieve this condition, three variants of computational grids were constructed with different numbers of prismatic layers at a constant growth rate of cell sizes. The results of three-dimensional calculations showed that the effect of the absence of conjugate heat transfer on the calculated level of nitrogen oxide emissions did not exceed 10% in the most heat-loaded operating mode of the gas turbine. The total heat flow through the walls of the flame tube and gas collector did not exceed 0.5% of the total amount of heat released during fuel combustion. Thus, conclusions were made about the applicability of the hypothesis under consideration. The results of the work can be important for CFD – engineers and designers working in the combustion chamber department.

The article describes a methodology, which combines a priori (additional) information and current control data of tests of elements of space vehicles in order to achieve the goals of selection and obtain a higher assessment of the object being pursued.

Proposed the technique is based on the mathematical apparatus of dynamic Bayesian networks, as well as the basic concepts and relationships of the theory of reliability and technical diagnostics of systems. The initial data is information on the technical condition of the elements of space vehicles during the test control, information on the reliability (structural and logical diagrams, failure rates of elements) of technological equipment, as well as diagnostic models linking the types of technical conditions and diagnostic signs of defective products.

It is proposed to use the selection method in a dynamic Bayesian network to identify discrepancies between products and equipment in the process of monitoring and diagnosing the technical condition of the elements of technological equipment and describing the dynamics of the process.

A posteriori inference allows you to combine heterogeneous initial information and incoming new data to obtain a comprehensive assessment during the process and the state of the process equipment in order to make an informed decision by the specialist to continue or suspend the process, if a defect is detected and take measures to eliminate them .

The advantage of this technique is the ability to take into account heterogeneous a priori information, including the format representation of the subject, and the results of control tests.

The implementation of this approach to control studies of a sample of a limited size is given. The possibility is substantiated of the possibility, based on the results of selective inspection tests, to estimate the predicted value of defective products in the entire batch with a sufficient goal for making a decision on selective control.

The method under consideration combines a priori information and data obtained as a result of tests, which, in the course of comparison, makes it possible to obtain the necessary accuracy to detect product defects.

The proposed method can be used by specialists when carrying out control and system testing operations in order to increase the efficiency of selection and detection of defective products.

The article considers discrete Markov model for efficiency estimating of orbital aids for safety zones monitoring of critically significant spacecraft by the probability of dangerous objects detecting indicators and mathematical expectation of the event occurrence number, associated with the use of resourcesща the orbital monitoring aids. The author adduces mathematical estimation models of the specified random events and definitions of the optimal and required values of transition probabilities, as well as examples of the said characteristics estimation and results of numerical experiments on each of the models being suggested. Practical meaningfulness of the obtained results consists the software developing, trying-out of mathematical models and software during numerical experiments, esteems obtaining of the orbital monitoring aids application effects and their correctness evaluation, as well as proposals on their employing for technical characteristics assessment and ways of the created orbital monitoring systems application.

One of the urgent tasks of the structurally complex objects studying with their multi-mode functioning is the task of reliability and survivability indicators assessing with regard to the structural and functional specifics of modes implementation. The article demonstrates that the problem of the survivability index estimating for monotonous structurally complex objects by iterating through the functional states of the system and variants of destructive impacts refers to the super-complex combinatorial problems. This requires searching for the ways for the exhaustive search avoidance, including the one through the object operability polynomial application, which stores various topological properties of the structural and functional interaction of the system elements in the functioning modes implementation. Integral indicators of structural and functional reliability, as well as a formula for the operational approximate computing of structural and functional survivability values were introduced employing applying direct and dual parametric genome of the multimode object structure. The article considers the motion control system of a small spacecraft as a multi-mode complex object. Computations were performed and presented with an unknown cyclogram of the orientation modes implementation, and under conditions of spatial destructive impacts of the i-th multiplicity. In other words, by the result of one destructive impact, i failed elements, are observed simultaneously in the system; calculations of approximate values of structural and functional survivability indicators for various extreme conditions for the use of spacecraft orientation modes. Indicators of structural and functional reliability and survivability of multi-mode objects are proposed, which will allow analyzing and evaluating the properties of reliability and survivability of a particular configuration option during system degradation.

In the process of the target mission an emergency may occur on the helicopter type unmanned aerial vehicle (UAV) board. So, the problem of an emergency landing of the helicopter type UAV on an unprepared landing pad arises. One of the requirements for an unprepared landing pad is the requirement for a limit value of the inclination angle of a landing pad. The inclination angle of an unprepared landing pad should be no more than 10 based on this requirement. This article describes the problem of a determination of the inclination angle of an unprepared landing pad of the helicopter type UAV with a priori digital elevation map information (DEM). A DEM has such information as: geographic latitude and longitude coordinates of the Earth’s surface point, a height of the point of interest and a type of the Earth’s surface point. Also, a DEM contains random errors, so a determination of the inclination angle is a statistical problem. The description of the developed technique and the proposed optimal algorithm of a determination of the inclination angle with a priori digital elevation map is given. To test the performance of the developed technique of a determination of the inclination angle with a DEM the special software is constructed. The results of a simulation modelling of the proposed optimal algorithm of determination of the inclination angle of an unprepared landing pad such as: the statistical characteristics of the inclination angle’s estimation of an unprepared landing pad and the estimation of a time complexity of the proposed optimal algorithm of determination of the inclination angle are presented. The verification of the developed optimal algorithm of determination of the inclination angle of an unprepared landing pad with the SRTM open-source digital elevation map and the OpenStreetMap web mapping service is completed.

The aircraft position determining in the airspace is is one of the key and important components of navigation. An important subtask herewith for achieving the goal is altitudes, speeds and accelerations determining, since the specified trajectory cannot be maintained in the absence of these parameters. The main types of the employed radio altimeters are the barometric and radio altimeters. Instruments based on the principle of computing the return time of the signal reflected from the Earth are employed for the most part while the aircraft takeoff and landing, while for the most portion of the flight, the work is being performed by the barometric instruments. The pressure sensors readings are being affected by the ambient temperature. They are divided into compensated and uncompensated by the principle of dependence on temperature. Temperature compensation of the sensor implies the return of the sensor to the readings that it would give without accounting for the temperature effect, after a certain time and with a certain error. The basic compensation properties, such as error and return time, can also depend on temperature factors in practice and vary over the temperature range. Besides, sensor membranes are subjected to aging, and the temperature compensation properties of sensors may depend on the wear factors as well. In case of employing sensors without compensation, all the work on temperature correction of readings is performed by a mathematical apparatus, which is based on the readings of the sensors themselves, as well as on the readings of a number of other sensors that measure the properties of the environment. When applying sensors with temperature compensation, the mathematical apparatus can perform thermal correction operations at the boundary sections of the temperature range. Besides the temperature correction, mathematical apparatus in air signal systems is required to compensate for the static pressure error, which increases with the measured altitude increasing. Thus, with deviations of 0–5 meters in the altitude range of 0–1000, in the range of 4500–5500 meters, the error may already be of 15–25 m, which is unacceptable in the requirements for modern airborne signal systems (Air Signal System). The main problem of dynamic pressure sensors is opposite to the static data, namely it consists in in error values increasing at low speeds of 0–75 m. Besides, this device should be insensitive to the wind interference in a stationary state on the ground, so as not to interfere with the other equipment operation. With the speeds growth, the in error increase is not as obvious as at low speeds. The above said problems demonstrate the relevance of creating an algorithmic and mathematical apparatus for preliminary calibration of the SHS systems, a calibration methodology, as well as a system for its hardware support. The object of study of this work is methods for calibrating the temperature-compensated static and dynamic pressure sensors, forming the air signal system. The subject of the study is a mathematical apparatus for bringing the readings of barometric sensors into specified ranges. As a result of the design, the following was accomplished: – an algorithm for calibrating static and dynamic pressure sensors has been developed; – a method has been formulated for reducing the natural curve of sensor readings to the reference ones; As the result, a mathematical model, algorithm and calibration technique are proposed with subsequent mathematical correction of the readings of temperature-compensated sensors of the SHS system, based on an analysis of the behavior of selected sensors when changing functional and temperature ranges, using modern technological equipment. A method for calibrating air signal sensors has been developed and debugged, allowing performing input control of the employed sensors, identifying in advance devices with an inoperative compensation apparatus, by analyzing data obtained by simulating flight conditions. The authors developed iterative algorithms for interaction between the traffic controller and the hardware and software complex that implement the existing methodology.

This article presents an approach to developing a model for performing periodic maintenance on unmanned aerial vehicle complexes. The active use of the complexes is accompanied by research aimed at improving the methods of use, increasing the tactical and technical characteristics, but not given issues of performing various type of maintenance, their modeling and evaluation, despite the existing contradictions in theory and practice. When organizing of periodic types of maintenance it is necessary to take into account a large number factors that can affect the timing and quality of work. Simulation modeling is one of the most effective tools for studying complex systems today. Imitation is a kind of means of reproducing phenomena, just as a model is an abstract description of a system, object, phenomenon or process. That is, modeling is such an abstract form of reflection of reality, in which certain properties of the proposed objects are represented in the form of an image, a diagram, a plan, or a complex of equations, algorithms and programs. The use of simulation modeling in many fields of activity has a number of undeniable advantages. Firstly, it is an experimental method of cognition, which is a simple and visual tool for analysis. It helps to find optimal solutions to problems and gives a clear idea of complex systems. The simulation model of the process of organization and performance of periodic maintenance of a complex with unmanned aerial vehicles is developed in Arena system, allowing to make rational decision on the selection of maintenance performers, to assess the workload of specialists, as well as to form requirements for a rational composition of the necessary maintenance tools.

This article describes the mathematical model (MM) that extends MM of cargo parachute vertical landing system with dampers process on rigid plane developed in [1] to the case of its landing with horizontal velocity. The aim of the research is to update the model of statistical modelling of cargo landing process [2] to the case of its parachute landing. Wind effect is the main reason of parachute-cargo system (PCS) horizontal velocity. In this article the stationary wind field is considered.

The overturning moment is applied to the cargo in case of its parachute landing with horizontal velocity. One part of the moment comes to the cargo from its lower part due to frictional effects when it contacts to the plane. This effect considered in [1] and [3] and is taken into account in this MM. The second one – comes from the parachute system and passes through the suspension system to the cargo structure. Therefore, to get the overturning moment correctly the following changes are added to the MM [1]: multiple canopy parachute system (MCPS) instead of the equivalent canopy, suspension system and the parachute unlocking system (PUS).

MCPS is commonly used for heavy cargos parachute landing, that’s why the MM of MCPS is developed. It consists of separate inertial canopies with elastic slings. The canopies can receive the aerodynamics loads and have elastic contacts to each other. The MM of suspension system consists of elastic links joined through the point inertial elements. PUS is modelled with the special condition to the correspondence suspension system link. The wind field is modelled by aerodynamics loads applied to the canopies of MCPS and the cargo.

The task of parachute horizontal landing of cargo with dampers is considered to demonstrate the influence of parachute system to the landing process. Analysis of the results makes it possible to conclude that the developed model shows the plausible characteristics of the landing process and can be used in [2].

As pulses exchanging units, flywheel engines and correcting engines play the part of a fundamental component of the majority of spacecraft for both coarse orientation control and precise guidance. The rotating masses’ unbalance while flywheels engines operation and force vibration impacts caused by pressure pulsations in the combustion chamber of correction engines are able to cause excessive fluctuations of the research equipment, which may lead to a in the functioning accuracy decrease. The vibration load levels are being determined during the spacecraft experimental testing. However, it seems rational to select optimal places for the high-precision equipment installing by their vibration background modeling at the early design stages to minimize the level of their vibration load.

The vibration background was being determined for the developed finite element model of the spacecraft «flexible» design with the environment of the Femap with NX Nastran software package. Computations were performed for vibration loading options by one of the four engines-flywheels, and from the two correction engines. The model of the by the flywheel engine exposure accounted for the forces resulting from the flywheel imbalance. A harmonic action with an amplitude proportional to the square of the flywheel rotation speed was being modeled. The vibration load levels from the correction engines disturbing forces were studied for both in-phase and outphase cases of the exposure. The study was being performed by the harmonic analysis method. The values of the disturbances amounts corresponded to the levels of disturbances of the standard flywheel engines and correction engines.

The vibration load levels assessment in the places of the supposed fixing of the devices was being performed according to the maximum values of the computed linear and angular vibration accelerations, angular velocities and angular displacements along the three axes.

The vibration background modeling option of the of installation sites of the equipment sensitive to the position stability for its effective operation presented in the article allows for a preliminary assessment of the vibration load level of such equipment at the early stages of a spacecraft design.

The aim of the work is to establish the dynamic properties of a dispersed material with harmonic vibrations. In strength calculations of structural elements of aircraft, among other things, modes of forced and natural vibrations are taken into account. In this regard, the dynamic properties of the transported cargo are taken into account, which are significantly different for solid and dispersed materials. The research methodology consists in presenting the status of the system under study as a combination of its diametrically opposite limiting statuses. Considered is a dispersed material located on a platform that performs harmonic oscillations. To assess the instability (or stability) of a dispersed material relative to the platform, a dimensionless quantity ξ is introduced. Its limiting values are ξ_a — absolute stability (complete immobility) relative to the platform and ξ_z — absolute instability. The main problem in establishing the dynamic properties of a dispersed material is the impossibility of calculating the average coefficient of dynamic friction, since its value is influenced by the interaction of dispersed particles with each other in the entire mass of the material, and not only with the surface of the platform. The description of the dynamic status of a dispersed material in the form of a composition of its unstable and stable statuses provides the key to solving this (and similar) problems. Opposite limit statuses of the system under study can be comparable and incomparable in terms of quantitative assessment. The subject of the study are systems with equal limiting statuses. The proposed method is universal and applicable to a wide variety of systems with different statuses and parameters.

Space debris poses a serious threat to existing and newly launched spacecraft. One of the prospective ways to this problem solving consists in creation of contactless transportation systems based on the ion beam application generated by the electric thruster of an active spacecraft to affect a space debris object. The purpose of the work is efficiency increasing of the space debris ion beam assisted transportation by accounting for its motion relative to the center of mass specifics. The author developed mathematical models describing a space debris object motion under the impact of gravitational and ion forces, as well as torques for the plane and spatial cases. The study of the unperturbed motion of a space debris object in a circular orbit was performed. The author proposed the ion bean control laws ensuring the space debris stabilization in the equilibrium position and its transition to the required angular motion mode. Angular modes of the unperturbed motion, at which generated ion force was maximum and minimum were determined. Numerical modeling of the space debris object disorbiting was performed, and estimation of the fuel consuming necessary for this transportation operation accomplishing was given. For the space debris object being considered, the difference in fuel between the most favorable and unfavorable angular motion modes was 7.82%.

Thin-walled spherical shells are common structural elements in various industries, such as aircraft, rocket and mechanical engineering. When designing the corresponding structural elements, one of the topical issues is the calculations of structures operating in non-stationary interaction modes. Such calculations are complex and time-consuming, since in such problems the desired solution is significantly heterogeneous in spatial coordinates and time. In an axisymmetric formulation, the study of the transient dynamics of a thin spherical belt with emission boundary conditions under the influence of a moving transient load. The belt material is elastic and isotropic. The Kirchhoff-Love hypothesis was implemented in the qualitative mathematical model of the spherical scenario. An approach to research based on the principle of superposition, the Green’s function method and the method of compensating influence. The essence of the results is in connection with the desired solution with the acting and compensating load using integral operations such as convolution in coordinate and time. Being this operation, is the Green’s function for spherical exploitation, which is the normal displacement in response to the core, random focusing on the load coordinate and time, mathematically described by the Dirac delta function. The compensation solution is the result of studying some specially calculated values, at which decisions are made from the acting load and the compensating sensation, satisfying the boundary conditions at the ends of the spherical belt. An example of calculating the unsteady dynamics of a spherical belt is given. The results for transient functions of normal displacements, angles of turns and bending moments are presented in the form of graphs. The method of compensating loads applied in the work allows us to study the transient dynamics of a spherical belt with intermediate axisymmetric supports, as well as spherical segments.

The work studies the process of local inflation of cylindrical shell made of hyperelastic materials of different types under the action of uniformly distributed pressure and axial force. Mathematical statement of the problem includes 4 quasilinear differential equations and 9 nonlinear algebraic equations. Geometrical relations of thin shells nonlinear theory are used, and for nonlinear physical relations formulation elastic potentials of different types are involved. The problem is solved using parameter differentiation method algorithm. According to this algorithm, resolving nonlinear equation system is differentiated with respect to solution continuation parameter, which leads to forming interconnected quasilinear boundary and nonlinear initial problems. These problems are solved in steps using iteration method until reaching required proximity of prognosed and corrected solutions at each parameter step. At given loading type and boundary conditions for the shell of constant thickness components of its stress-strain state will be constant along the meridian at any value of internal pressure. However it is known that at uniform inflation of cylindrical shell after reaching load critical value bulging can occur under certain conditions. For obtaining corresponding numerical result an assumption of small local thinning of shell wall was introduced. Two types of shell material were considered — neohookean and Yeoh. The diagram «pressure — relative volume change» for the case of neohookean cylinder inflation has only one maximum. Postcritical deforming of a shell with local thinning in this case differs fundamentally from the one of a shell with constant thickness. Differences are observed both in loading diagrams and character of stress-strain state components distribution along the whole meridian. Meridian of the shell with local thinning buckles at the largest part of its length. The diagram «pressure — relative volume change» for the problem of inflation of a cylinder made of Yeoh material has a local maximum and a local minimum. Distribution of stress-strain state components along the meridian remains constant both for the shell of constant and variable thickness, in the last case changing insignificantly only along the segment with local thinning. Meridian of the shell with local thinning remains straight. Thus introduction of an assumption of hyperelastic cylindrical shell local thinning for the case of loading by uniform pressure and axial force allows investigating theoretically the character of its postcritical behavior corresponding to experimentally observed one.

The article presents the results of computing-and-experimental study of the advance surface plastic deforming impact on stress fatigue strength of the parts with M16´2 metric thread, produced from the 30HGSA and 40X structural steels. The surface of cylindrical workpieces was hardened by rolling on the roller work-tool prior to the thread cutting. Computations of the residual stresses distribution in the lest sections of the thread vees were performed by both analytical and finite element modeling methods. It was found that that these results demonstrate rather high convergence in the thread vees slightly removed from the start of the threaded portion of the part. Obviously this is associated with the fact that an analytical solution of the residual stresses distribution was performed at a quite long distance from the rim zone. Finite element modeling and necessary computational volume were performed employing the PARTRAN/NASTRAN software complex. Finite element models of the smooth cylindrical and threaded pieces were developed in the axisymmetrical setting, and residual stress-strain state modeling was conducted by the thermoelastisity method using initial deformations. The squeezing residual stresses impact on the fatigue resistance was being determined through the endurance limit increment by the mean integral stresses criterion. Calculating increments of the endurance limits were compared with their experimental values obtained while fatigue tests of hardened and non-hardened threaded pieces at the rotational bending in the case of the symmetrical cycle (30HGSA) and stretching in the case of asymmetrical cycle (40X). Accounting for the close increments values of the endurance limits at bending and limiting amplitude of the cycle while bending the important inference on the stretching substitution by bending while fatige test conducting is confirmed.

The presented work is aimed at mathematical models and computational algorithms developing for studying specifics of deformation processes of the panel and arc structures from hyper-elastic materials at arbitrary displacements and deformations. The initial continual problem discretization by the spatial variables is being accomplished by the finite difference method with approximation of differential operators by the finite differences of the second-order accuracy. Quasi-dynamic form of the settling method with plotting an explicit two-layer difference scheme by the time of second order accuracy is being employed for building the nonlinear boundary problem solving computational algorithm. The stress-strain state specifics were studied and critical loads values were determined for the locally loaded arc structure from the hyper-elastic material while using the relationships of the Mooney-Rivlin model neo- Hookean model for both fastened and hinge-fixed edges.

The problem of flow around a surface with a large curvature (sharp edge) is becoming very relevant in connection with the development of modern technologies. In the vicinity of a sharp edge, a highly nonequilibrium gas flow occurs. Depending on the sharpness (curvature of the surface) of the edge, the degree of non-equilibrium of the flow can approach the non-equilibrium in the shock wave.

In the present work, we consider a supersonic flow of a diatomic gas around a plate of infinite span, which is installed parallel to the oncoming flow. The tip of the plate is rounded. The rounding radius characterizes the Knudsen number Кn of the problem being solved. The aim of this work is to estimate the maximum value of Kn at which the solutions of the NSF and M2T models practically coincide.

The calculations were carried out for a diatomic gas at the Mach number M=2. The Knudsen number varied in the range Kn=10^–2 ... 1. In the framework of the problem under consideration, Kn can be considered as the degree of pointedness of the nose, regardless of the degree of rarefaction of the gas, which is traditionally characterized by the number Kn.

The most important gas parameters, from a practical point of view, are the density and temperature in the near-wall region. These parameters mainly determine the processes of erosion of the edge surface, leading to a change in its shape.

The performed calculations show that for Kn>10^–2 both models of the first approximation, which describe the energy exchange between the translational and rotational degrees of freedom in different ways, lead to significantly different temperature distributions. the temperature distributions are fairly close over the entire range of Knudsen numbers considered.

To describe both laminar and turbulent flow regimes of a viscous incompressible non—heat-conducting fluid based on the same equations, the references [1-3] proposed to account for what distinguishes these two regimes from each other, namely the entropy production due to the random stochastic perturbations excitation. For this purpose, the Navier-Stokes equations (NSE) were written in a phase space expanded by introduction of an additional stochastic variable. As the result, in the left part of the equations, namely in expressions for the total time derivative, additional terms, characterized by the entropy production due to the excitation of stochastic perturbations, appeared. For laminar flow modes, entropy production adopts a zero value, additional terms vanish, and transition to the NSE in their standard form, of which solutions describe only laminar flow modes, is accomplished.

Inclusion of an extra summand in the expression for the total time derivative, characterized by entropy production (which is always non-negative), allows, in particular, accounting for the irreversibility of physical processes in time in cases where this production is non-zero. The above said applies, among other things, to the case when large values of the Reynolds number are realized and, accordingly, the value of the viscous term in the NSE tends to zero. In this case, the only term of the equation «responsible» for its irreversibility becomes an additional term in the full time derivative.

Solutions corresponding to laminar and turbulent flow regimes have been obtained analytically for Hagen-Poiseuille problems, planar Poiseuille flow and planar Couette flow. Experimental. Comparison of experimental and analytical solutions for different values of the Reynolds number was performed.

The presented article considers a more general case, using a similar approach, namely analyses how the equation of continuity; Navier-Stokes equations; the equations of total conservation of energy, and heat transfer should change, when describing the flow of a viscous compressible heat-conducting fluid, in which stochastic disturbances may occur in a wide range of scales at large values of the Reynolds number.

The article presents a proposal for application of the improved engine-propeller group with the airscrew integrated into the electric motor in the multi-rotor type unmanned aerial vehicles. The authors performed a check-up aimed at confirming the proposed technical solution operability, which was realized by the presented modification comparison with classical scheme of the engine-propeller group. The juxtaposition was being accomplished by the aerodynamic characteristics of the airscrew in the hovering mode by the computational hydro-gas-dynamics methods with the STAR CCM+ and ANSYS CFX application software. Numerical modeling was performed in the 3D setting and based on solving the system of Reynolds-averaged Navier-Stokes equations, which were closed using the turbulence models of the K-Epsilon family. The airscrew rotation was described by the moving frame of reference without the grid changing. The data obtained from the mathematical study indicate a non-critical reduction in the lifting force of the improved scheme of the engine-propeller combination group compared to the traditional one, and are fixed at 3.9% and 2.5% in ANSYS CFX and STAR CCM+, respectively. The drag torque of the airscrewof the modified scheme increased by 0.741% relative to the classical one when modeled in the STAR CCM+, and decreased by 0.944% when modeled in the ANSYS CFX. The proposed scheme weight herewith, computed in SolidWorks, decreased by 8%. The results of the performed check-up are satisfactory and prove the applicability of the improved scheme of the engine-propeller combination in unmanned aerial systems to increase their reliability, as well as reduce weight and dimensions without the risk of malfunctions in their operation.

The study of the flow structure near an obstacle mounted on a streamlined surface and the correct prediction of heat transfer characteristics is important both for practical purposes, in particular, in the aerospace industry, and in fundamental and theoretical respects. Such flow results in a highly three-dimensional flow pattern, which includes an elongated flow separation region containing a set of horseshoe-shaped vortices and a complex shock-wave interaction. This paper presents the results of a numerical solution of the problem of supersonic flow past a blunt fin mounted on a plate with a developing boundary layer. In most works on this topic, the flow around bodies of simple geometry is studied, however, objects with a more complex configuration are of interest for practical purposes. This work, which is a continuation of research [12], is devoted to studying the influence of the geometric shape of the obstacle (slope angle, shape of the leading edge) on the flow structure and local heat transfer characteristics; herewith cases of flow leakage at different angles of attack are considered. In our calculations, we used the SINF/Flag-S finite-volume unstructured code developed at Peter the Great St. Petersburg Polytechnic University. We solved the complete 3D Navier—Stokes equations for a thermally and calorically perfect gas.

According to the research, in supersonic flow around a body mounted on a plate, such changes in the geometric configuration as narrowing of the leading edge, a decrease in the slope angle, and asymmetric flow lead to a reduction in thermal loads caused by the effects of viscous-inviscid interaction.

The article presents the results of calculation of distributed and integral aerodynamic characteristics of helicopter airfoils NACA0012, NACA23012, VR12 and HH02 in the operational range of changes in angles of attack and Mach numbers, obtained by numerical simulation based on RANS. Modeling of helicopter airfoils flow was carried out considering the presence of a laminar-turbulent transition in the boundary layer on their surface, the presence of disruptive phenomena and compressibility of the flow. Calculations were performed by using the ANSYS Fluent software package. The results obtained are satisfied with the data of known experimental studies. The description of the features of finite-difference mesh used for calculations, boundary and initial conditions, turbulence models, solver settings is given. The distributed aerodynamic characteristics of the airfoils are presented in the form of coordinate diagrams of the distribution of the pressure coefficient over their contours. Integral airfoils aerodynamic characteristics are presented in the form of graphical dependencies and diagrams. According to the results of the calculations, the patterns of behavior of the distributed and integral aerodynamic characteristics of the studied airfoils are revealed when the flow conditions change in the entire possible operational range of operation. The comparison and comparative analysis of the studied airfoils characteristics determining their aerodynamic perfection are also given. The results of the work can be used in the development of helicopter profiles, direct and inverse problem solution to optimize their shapes, as well as in the process of performing calculations to determine the aerodynamic characteristics of helicopter propeller blade airfoils by CFD methods in the entire possible operational range of their operation at angles of attack and Mach numbers.

The lion share of the onboard equipment failures (up to 70%) is stipulated by the inadequate reliability of the onboard equipment electronic parts base.

One of the effective ways to improve the onboard radio-electronic systems quality consists in selecting highly reliable elements and components based on the results of diagnostic control or individual prediction (IP) of their future state. This is especially true for the devices and elements, such as thin-film microassemblies with high-precision resistors and capacitors.

One of the most important operations in such microassemblies manufacturing is the thin-film elements trimming to the nominal value. However, this trimming operation often introduces a perturbing effect into their structure, which reduces the temporal stability and reliability of these elements. This makes the procedure for rejecting potentially unreliable elements and selecting high-quality samples for the onboard equipment (the IP based) especially up-to-date. Mathematical models are proposed for individual prediction of quality and reliability indicators of microassembly thin-film resistors and capacitors.

An expert survey was conducted to select the forecasting method. With account fort the fact that informative parameters were previously identified for the class of microassemblies and thin-film elements under study, the following methods of pattern recognition theory were selected as the main ones: the method of discriminant functions, potential and regression functions (models), as well as the extrapolation method. The latter was emplooyed for the case of low information content of the parameters.

Forecasting effectiveness estimate based on the proposed models is presented. The developed models are recommended to be applied for solving problems of individual prediction of elements with classification.

As of today, development of high-precision digital terrain model based on data of the small-sized onboard laser system for environmental state control is an up-to-date task. Detection of temporal changes in the landscapes of the controlled zones in dynamics may relate to such tasks. In this case, plotting the high-accuracy 3D-models of the terrain may be accomplished by the data of the small-sized onboard laser system, collected in the current time instant with the archive data free from the current changes. The multi-temporal digital models plotting of the terrain allows rather distinctly outline season changes, such as fire zones detection, the size of the coast brim size of rivers, lakes and other impoundments, as well as the scales of the swamp terrain forming, ice melting, snow covers and other temporal changes. Such approach employing for highly-precise digital terrain model separated by time based on complex procession of the initial laser data collected from small UAVs is applicable for the purpose of environmental control, particularly for revealing structural changes of the various themes registered objects, which is an important and up-to-data task, particularly for various structures accomplishing search-and-rescue operations, including the ice situation determining, as well as under Arctic conditions. The purpose of the presented work consists in conducting the experiment on the UAV application with the small-sized onboard laser system installed on it for obtaining lidar terrain data, which afterwards would be converted into 3D terrain models and employed for the environmental situation control of the definite sector of the Earth surface. The article considers an example of application of the 3D terrain model, created with the lidar data, to compare two terrain models created according to the same route assignment with the one-week interval. The data on the structural difference of the Earth surface models taken off at the different time instants, which can be applied for studying the environmental situation of the registered section of the Earth surface were obtained. The results of the study may be employed while modernization of the conventional systems and development of the prospective systems for the environmental situation control of the certain section iiof the Earth surface.

The problem of ballistics is the process of calculating the trajectory of an uncontrolled reactive ballistic body after it has been separated from the carrier. At present, the basis for calculating the trajectory is the canonical model of motion, which describes the change in velocity, nutation angle, angular velocity of nutation, trajectory inclination angle, and rocket coordinates. However, this model is adequate only in conditions of uniform rectilinear flight; when the carrier is maneuvering, additional corrections are made depending on the angles of attack and slip of the carrier. The accuracy of the use of unguided reactive ballistic bodies depends on the initial launch conditions, which are determined by the parameters of the carrier and target motion. Development of a methodology for determining the initial conditions for launching an unguided reactive ballistic body with a vertical maneuver of a movable carrier. A technique has been developed for determining the initial conditions for launching an uncontrolled reactive ballistic body with a vertical maneuver of a movable carrier, for which analytical expressions have been obtained to determine the initial values of velocity, nutation angle, angular velocity of the nutation angle, and trajectory inclination angle. The results obtained make it possible to obtain the dependences of the resulting initial velocity, the initial nutation angle, the initial nutation angular velocity, and the initial trajectory inclination angle on various conditions for launching an uncontrolled reactive ballistic body during a vertical maneuver of a movable carrier. The obtained experimental dependences can be used in the development of a ballistic algorithm to obtain the exact initial conditions necessary for integrating the differential equations of a complete ballistic motion model, which in turn will improve the aiming accuracy.

The article describes the methods, which are based on the concepts and relationships of probability theory and graph theory, to assess the impact of the switching number in the process of a cable network diagnosing on the availability factor employing the frozen coefficients method. The subject relevancy is being confirmed by the fact that more than 60% of electrical equipment has exhausted its operational life, and, with a view to the dynamics of aging, a more thorough diagnosis of its condition is required.

The proposed methodology is based on the theory of probability and graph theory, as well as the basic concepts and relationships of the theory of reliability and technical diagnostics of systems. The initial data is information on technical condition of the power grid equipment elements of space vehicles in the course of the test control, information on the reliability (structural and logical diagrams, failure rates of elements) of technological power grid equipment, as well as diagnostic models that link the types of technical conditions and diagnostic signs of electrical equipment.

When organizing of the electrical cable system control and restoring its performance, it is necessary to account for the number of switching electrical circuits, affecting significantly the electrical cable system readiness to perform tasks according to its direct purpose. In this regard, the obtained model for the availability factor assessing of the spacecraft electrical cable system allowed determining reduction in the duration of determining the technical condition of the electric cable system by 75%, and the availability factor increase of the spacecraft electric cable system by 1.7% through the adaptive switching application.

The proposed model may be employed by specialists when performing control and diagnostic works of a cable electrical system with a view to increase their efficiency.

The obtained model for the availability factor assessment of a spacecraft electrical cable system allows obtaining an adequate assessment of the availability factor with account for specifics of the technical condition determining, as well as comparing the efficiency various switching methods application for the electrical cable system diagnosing.

Thus, an important point for ensuring the operable state of electrical equipment is adoption of a reasonable decision on its operational technical condition in connection with the individual characteristics of each piece of electrical equipment. The obtained data allow drawing up more reasonable plans for priority measures for the repair and renewal of electrical equipment based on the assessments of specialists working on the ground — experts, while improving the quality of management decisions.

According to accident statistics provided by international aviation authorities and leading airplane manufacturers, loss of control in-flight stands as the primary cause of air crashes in terms of the number of victims. One of the contributing factors to loss of control in-flight is the failure or malfunction of aircraft systems, which may result from undetected errors during the design phase. To address this issue, reducing the influence of the human factor in the development of on-board systems is crucial, and this can be achieved through the implementation of automation instruments.

The article encompasses an analysis of verification automation tools for civil aircraft on-board systems currently available on the market, including formal verification and system testing instruments, as well as complex solutions. Moreover, the research highlights that the growth potential of these tools lies in graphic and aural information testing. This aspect becomes relevant when assessing the human-machine interface within cockpit displays and flight warning systems verification.

Additionally, the article proposes the architecture, algorithms, and software of such a complex providing text information recognition for cockpit display systems. The conducted tool testing confirmed its high effectiveness. While the complete exclusion of an operator from the verification process is deemed unacceptable due to safety concerns, the aforementioned type of tools can potentially enhance the human-machine interface systems’ reliability by mitigating the influence of the human factor, and it can also lead to savings in time and financial resources.

Concurrently, the underlying methods of computer image processing are universal, enabling the developed complex to be adapted to diverse technical systems featuring human-machine interfaces (including industries beyond aviation).

Digital technologies implementation in the sphere of complex technical systems control has led to the advent of the cyber-physical systems (CPS) concepts and digital twins (DT). The DT basic element is the digital model (DM) of the CPS. Requirements to the DM characteristics are being confirmed while tests, verification and validation, to which ensuring the problems of substantiating the list of the DM characteristics and developing methods for their assessment are being solved. The article substantiates the choice of completeness and veracity of the DM as its target characteristics. A method for their assessment by the characteristics of the accuracy of the of the CPS properties estimates obtained with the DM, and the weighting coefficients determined employing multiple regression analysis of the DM application results is proposed. The said method is based on the analysis of the CPS target function, due to which the criterion applied in assessing veracity receives an obvious physical meaning. The proposed method may be employed for solving the problems of the DT structural and parametric synthesis, as well as analyzing their functioning effectiveness at all stages of the CPS life cycle. The result of the training stage is analytical models of the CPS characteristics, which can be used in optimization algorithms without significant requirements for computing resources. The training sample can be replenished while the DT exploitation which increases the accuracy of the DM characteristics assessment at various stages of the CPS life cycle. The adequacy of the method is confirmed by the presented in the article example of the DM characteristics evaluating of an angular motion control system with flywheel engines.

Digital technologies implementation in the sphere of complex technical systems control has led to the advent of the cyber-physical systems (CPS) concepts and digital twins (DT). The DT basic element is the digital model (DM) of the CPS. Requirements to the DM characteristics are being confirmed while tests, verification and validation, to which ensuring the problems of substantiating the list of the DM characteristics and developing methods for their assessment are being solved. The article substantiates the choice of completeness and veracity of the DM as its target characteristics. A method for their assessment by the characteristics of the accuracy of the of the CPS properties estimates obtained with the DM, and the weighting coefficients determined employing multiple regression analysis of the DM application results is proposed. The said method is based on the analysis of the CPS target function, due to which the criterion applied in assessing veracity receives an obvious physical meaning. The proposed method may be employed for solving the problems of the DT structural and parametric synthesis, as well as analyzing their functioning effectiveness at all stages of the CPS life cycle. The result of the training stage is analytical models of the CPS characteristics, which can be used in optimization algorithms without significant requirements for computing resources. The training sample can be replenished while the DT exploitation which increases the accuracy of the DM characteristics assessment at various stages of the CPS life cycle. The adequacy of the method is confirmed by the presented in the article example of the DM characteristics evaluating of an angular motion control system with flywheel engines.

Requirements to aviation equipment operational properties are being tightened in the process of the aircraft functional systems improving, aimed at increasing flight reliability and safety levels. Despite substantial impact of the fuel impurity on the reliability of the fuel system units, this issue is still remains understudied. Despite the significant impact of aviation fuel pollution on the reliability of aircraft fuel system units, this issue remains insufficiently studied. This is especially true for establishing quantitative dependences of the probability of failure-free operation of the fuel system units most sensitive to the quality and purity of aviation fuel on the degree and nature of contamination and changes in the aircraft operating conditions. Conventional techniques for the aircraft fuel system failure-free assessment are based on the reliability factor values determining from statistical data on the results of tests and operation. It allows accounting for only the fact of the failure manifestation itself, but does not allow assessing such external factors impact as environmental conditions of aviation equipment operation and application, the impurity changing of the applied fuel effect on the probability of parametric failures and maloperation manifestation of the aircraft fuel system units. To solve this problem, the article presents a mathematical simulation model of the aircraft engine fuel system units functioning under various aircraft operating conditions developed with the MATLAB Simulink. The model allows studying and predicting technical condition of the aircraft engine fuel system units depending on changes in the aircraft operating conditions. For this, the dependence of the key parameters values of the fuel system on the impurity particles size and concentration in the aviation fuel in various conditions of the aircraft operation is being embedded into the system of equations, describing the aviation engine fuel system functioning based on the aggregative approach. The developed model application at conducting studies on the fuel units operability assessment with ranges expansion of input and internal parameters values (fuel system units of the aircraft power plant) will allow obtaining reliable assessment of the fuel system technical condition at the aircraft operating conditions changing.

Apparatus based on the classical Petri net is being employed quite often while modeling various parallel asynchronous processes. This apparatus allows demonstrating the system transition from state to event, establishing cause-and-effect relations between the states of the system being modeled. It offers an opportunity to perform formal analysis of the model properties and reflect the results of the obtained analysis on the real properties of the system. However, when the modeled system volume is large enough, and Petri net properties analysis produces incorrect result, changes should be introduced into the formed model, though detecting the place, which requires correction, is not an easy task. It will be necessary to analyze relations between all positions and transitions together with initial, intermediate and final marking stage-by-stage, namely from the initial to the final state.

This article proposes a formal approach to the initial marking correction of the Petri net so as the network would reach the final state, i.e. correct fulfilling of the reachability property of the network by solving the discrete programming problem.

The discrete programming problem will be solved in the case of the Petri net reachability property unfulfillment, i.e. when the reachability equation solution will differ from X &isin; Zⁿ. After the necessary solution finding, the reverse conversion operation of the system of linear equations into the reachability equation is being accomplished to discriminate the corrected vector of the initial marking from it. Correction of the initial marking vector is necessary for the net transition to the required (final) state.

The said approach may be employed for various type initial data correction, as well as corrections of the quantitative components of separate states of the system being modeled.

Energetics is one of the most important and state-of-the-art topics of the contemporaneity. Energy facilities monitoring and optimization play decisive role in ensuring effective energy consumption and sustaining stable infrastructure in the fast-developing cities.

Energy facilities optimization with the artificial intelligence (AI) and Internet of things (IoT) technologies plays an important role in ensuring effective energy consumption and sustaining stable infrastructure in the fast-developing cities. New innovative technologies allow data collecting in the real-time mode, performing enhanced analytics and accomplish intellectual decision making, which leads to the energy efficiency enhancing, operational costs reduction and stability increasing.

One of the energy facilities monitoring advantages using AI and Iot consists in the possibility for energy consumption optimization based on the demand, weather conditions and other factors. The AI algorithms are able to analyze collected data and predict energy requirements, which allows reducing electricity bill and negative impact on the environment. The algorithms may simplify the air traffic controllers tasks while civil aircraft landing or departure.

The IoT units, i.e. sensors and intellectual counters, are being installed at the energy facilities and civil aviation industry objects for real time data collection on various parameters, such as temperature, pressure, voltage and output power. These units transmit data to the central monitoring system, allowing operators surveying the energy facilities operation and indicating any deviations from the normal operation conditions.

The AI algorithms, machine learning and deep learning models can analyze the data collected by the IoT units to detect anomalies and anomalous regularities. The researchers may study the normal operating behavior the energy facilities by training the AI models using the test data. When the collected data deviate significantly from the expected values, the AI system may issue warnings to notify operators about potential problems or malfunctions requiring their attention.

AI and neural networks may be employed for predicting demands for servicing and preventing unexpected damage at the energy facilities and civil airports. By the data analysis from the IoT sensors and units, the AI models can reveal regularities pointing out potential failures or productivity reduction. It allows operators planning technical servicing in advance of repairing equipment prior to the failures and minimizing the downtime.

The AI algorithms can as well optimize operation of the energy facilities and enterprises of civil aviation trend by the real time data analyzing and revealing the possibilities for the efficiency enhancing. The AI, for example, may analyze the energy consumption schemes, the data on the equipment productivity and external factors, such as weather conditions, for energy systems optimal control and energy consumption reduction.

Thus, the Ai and IoT technologies application for energy facilities and civil aviation objects monitoring and optimizing demonstrate many advantages, including energy efficiency enhancing, power consumption costs reduction, stability improving and reducing negative impact on the environment. These innovative approaches help municipal companies, power suppliers and objects managers make justified decisions, develop strategies and ensure long-term stability of energy facilities in the rapid-developing cities.

The increasing complexity, versatility and uniqueness of aerospace products require new efficient approaches to their design and operation. It is expected that the use of digital twin technology will effectively solve emerging problems. In the publications and data sources, the concept of a digital twin is given quite a lot of definitions. The national standard GOST R 57700.37–2021, adopted in 2021, defines the digital twin of a product as follows: «A system consisting of a digital model of a product and two-way information links with the product (if the product is available) and (or) its components.» In the aerospace industry, there are the following features of creating digital twins:

1. A variety of simulated environments in which the product is operated: aerodynamic, vacuum, gravitational, plasma, radiation, thermodynamic, liquid, etc.
2. strict requirements for the adequacy and reliability of the product. At the same time, a digital twin of a complex product must be developed and manufactured within an acceptable timeframe, which requires new methods that adequately display the changing properties of physical objects in a digital representation.

The creation of a digital twin largely depends on the methodology of development, production and operation. It becomes relevant to create a software and technological platform for the production and use of digital twins in the aerospace industry, taking into account life cycle processes (according to GOST R 56135). A platform for creating digital twins should support the proposed methodology, methods for integrating physical objects with the Internet of Things, and graphodynamic description of simulated objects. The article explores the technology of developing digital twins in the aerospace industry. The main features of creating a digital twins in the aerospace industry have been determined. Fundamental technologies for the implementation of digital twins have been considered: Iot, XR, Cloud computing, AI, quantum modeling, cybersecurity. A fractal approximation methodology has been proposed for the development, production and operation of digital twins based on elastic objects, as well as a platform architecture for creating digital twins. The article considers incremental object-oriented development, production and operation of digital twins in combination with a graph-dynamic description of physical objects and methods of the Internet of things. Efficiency is achieved through the reuse of software and hardware components, surrogate models that integrate physical objects with the Internet of things and graphodynamic description of simulated objects.

The article presents definitions of the total stored energy, conditional stored energy, conditional realizable stored energy, and conditional unrealizable stored one. The total stored gravitational energy is the energy of a system or object equal to the maximum work that the system or object can perform if offered the opportunity to do so. A system or an object with zero total stored gravitational energy cannot perform any work. A system of two massive balls has zero total stored gravitational energy when their centers are aligned. The latter is possible if the balls are mutually penetrating, for example, discontinuous, particularly, accomplished in the form of layered joints. Conditional stored gravitational energy is a part of the total stored gravitational energy of a system or object, limited by the condition, which excludes the possibility of the system or object to perform maximum work that the system or object can hypothetically perform. Conditional realizable stored gravitational energy is a part of the total stored gravitational energy of a system or object, equal to the work that the system or object can perform, limited by the condition that excludes the possibility of the system or object performing the maximum work that the system or object can hypothetically perform. Conditional unrealizable stored gravitational energy is a part of the total stored gravitational energy of a system or object, equal to the work that the system or object cannot perform, limited by the condition that excludes the possibility of the system or object performing the maximum work that the system or object can hypothetically perform.

The article presents options of the retro-reflective antennae system (RRAS)for the spacecraft of the high-orbit space complex of the GLONASS system. The options of the structure with various arrangement of orifices, the number of angle reflectors and other constituent parts were analyzed. The structure of the optical retro-reflectory antenna system meeting the requirements for successful leading out as a part of the spacecraft and functioning at the obit of the 36000 km altitude. Mechanical analysis of the selected structure was performed. Analysis of the eigen frequencies of the structure confirmed the absence of resonance between the constituent parts of the spacecraft and RRAS. The study of the stressed-deformed state of the structure revealed that the largest calculated stress in the structure was less than the permissible value, which ensures the RRAS strength margin enough for the system successful leading out as a part of the spacecraft on the working orbit. As long as there are no eigen frequencies less than 100 Hz in the structure, the level of the sinusoidal impact amplitude is equal to the amplitude of the quazi-static impact. The RRAS persistency to mechanical loads impact at the segment of leading out the spacecraft by the booster was confirmed.

The article deals with the problems of free plane and spatial oscillations of a spring pendulum at the frequencies ratio of linear and longitudinal oscillations leading to resonance. Various mathematical models of the studied mechanical systems are adduced, and numerical results obtained when using them are compared. The author proposed a simplified model of a flat spring pendulum, which application is possible in solving engineering problems. The article illustrates the effects of the swing energy «pumping» into the axial oscillations energy of the pendulum and rotation of the pendulum material point trajectory around the vertical axis at a resonance of 1 : 1 : 2. It is established that with different frequency ratios of linear and longitudinal oscillations, the specified effect of the oscillation energy «pumping» is not observed. The effect of the swing plane rotation herewith remains, but manifests itself to a lesser extent. The trajectories of the first 20 s of the material point of the spatial spring pendulum movement at resonances were compared 1 : 1 : 2, 1 : 1 : 3 and 1 : 1 : 5. Maximum values of the thread relative deformation depending on the initial conditions of the problem under consideration are adduced for the first computational case. Computational results are summarized in a table allowing evaluating the largest relative deformations of the pendulum thread depending on the initial deviations from the equilibrium position and initial impulses, which resulted in the processes under study occurrence.

The article deals with analytical modeling of the screen-vacuum thermal insulation elements (SVTIE) for temperature distribution determining in the composite thermal protection coating. Screen-vacuum thermal insulation is widely used in aerospace engineering, namely in the automatic interplanetary stations, spacecraft, satellites, fuel tanks of launch vehicles. The study of this type of thermal insulation is of prime importance for ensuring safety and service life of aerospace complexes elements throughout their lifetime. High reliability requirements are stipulated by the thermal protection operation under conditions of temperature fluctuations and prolonged exposure to solar radiation. The article considers a four-layer structure in the one-dimensional formulation with the solution of the unsteady thermal conductivity problem based on a two-layer homogeneous rod. The four-layer structure represents a package of a glass fabric and aluminum substrate. The structure is being exposed to a temperature field. It is necessary to find the temperature distribution field in the structure under study and determine the stress-strain state caused by the temperature impact. To determine the temperature field, an unsteady thermal conductivity problem for a four-layer homogeneous rod is being solved. The assumption that deformation is being realized in a prismatic body of theoretically infinite length, loaded by the surface and voluminous forces normal to the z-axis, which intensity does not depend on z, is used for stress-strain state. It is assumed as well that the structure deforms as a whole entity, which corresponds to the Feucht model. Shear deformations are also absent. The article presents the graphs of the temperature field and heat flux distribution along the length of the package as a function of time.

In this article explores conditions for the optimality of a gas ejector in various theories of the critical mode. Explored three theories: Millionshikov—Ruabinkov theory, Vasiliev theory and Pearson, Holyday and Smith theory. System of equations of critical mode has been investigated on extremum by Lagrange method. New conditions of optimality have been obtained. For theories of Millionshikov—Ruabinkov and Pearson these condition for the optimality is blocking in pipe with flexible boundary and which corresponds to subsonic speed of gas in the place of blocking. New condition for the optimality for Vasiliev theory is equality of static pressures in mixed jets in the place of blocking. In the frame of each theory for a number of values of the reduced speed of active gas has been calculated values of compression ratio for k=0,1 and σ=10. Examination of these figures shows that in the case of classical condition of blocking λ₂=1 point with equal static pressures at the entrance of ejector responds to the maximum of compression ratio. In the case of blocking in the pipe with flexible boundaries point with equal static pressures at the entrance of ejector responds to the inflection point of compression ratio curve, but maximum of compression ratio responds to the sonic speed of gas in the entrance of ejector. In the frame of Vasiliev theory has been obtained that the case of equal static pressure in the place of blocking responds to the maximum of compression ratio and this case is different from critical mode. Also has been obtained that in frame of Pearson theory exists the condition of optimality, which differ from the condition of optimality by Vasiliev theory by the presence of an additional term. Although obtained condition is mathematically correct, calculations show that it can’t be realized in real ejector.

The article considers the lift coefficient determining specifics of the folding arc-shaped wing determining. The effect of the wing arc curvature on the interference with the body is being estimated. The character of arc-shaped wing lifting force dependence on the roll angle is being determined. Rational scheme of the arc-shaped wing spreading is determined. The discrete vortices method is applied. The computation technique is presented in another article. Reference is available. A rectangular wing is being considered. Two options of the opening angle of 90° and 135° are regarded.

The article demonstrates the possibility of the interference coefficient of the wing with the body determining by integrating the wing local angles of attack, and determining the average angle of attack. This is rather convenient for the wings of non-standard configuration, including the arc-shaped wing. A weak effect of arc curvature on the interference coefficient of the wing with the body is revealed. This is especially typical for the rational scheme arc-shaped wing (with an opening angle of 135°). A significant specificity of the dependence of the lift coefficient of an arc-shaped wing on the angle of roll is revealed compared to the similar dependence for a flat wing. It manifests itself most vividly for the arc-shaped wing with the opening angle of 90°. This wing is of non-monotonic character of the dependence of the lift coefficient on the roll angle with a minimum at the roll angle of 45°. The situation persists for the X-wing layout of the wings. An arc-shaped wing with the opening angle of 135° has characteristics near to characteristics of a flat one. However, even in this case, the independence of the total lifting force from the roll angle for the X-wing layout of the wings is being not ensured.

Conclusions:

1. An arc-shaped wing with a 90° opening angle is unacceptable due to unsatisfactory dependence of the lift coefficient value on the roll angle.
2. An arc-shaped wing with the opening angle of 135° has characteristics near to characteristics of a flat wing. However, differences in the value of the lift coefficient and its dependence on the roll angle should be accounted for in the calculations.
3. The interference coefficient for an arc-shaped wing can be determined by the dependencies for a flat wing. This applies to a wing with an opening angle of 135°.

A complex problem based on the determination of intra-ballistic and external-ballistic parameters for evaluating the flight zone of a short-range bicaliber aircraft is considered. The specifics of the short-range bicaliber aircraft are shown. The solid rocket motor provides fast acceleration in a short time period to the required speed (active section). After the end of the active section the basic shell, which has a smaller caliber, is disconnected from the booster stage and continues to move in the energy-passive section of the flight. This plan allows the use of solid fuel with high energy and temperature characteristics and the use of the lightweight composite materials design of the propulsion system. Also, resetting the booster stage of a larger caliber significantly improves the aerodynamic quality in the energy-passive flight section. The law of change of the axial component of the thrust force in the quasi-stationary combustion duration of solid rocket motors is used for the thrust force mathematical description. Equations for the longitudinal motion of a material point in the atmosphere are used for the mathematical description of external ballistics. The dependence of the drag coefficient on speed and altitude is given. The Heunʼs method with a predictor-corrector scheme is used for the numerical solution of differential equations. The possibility of a preliminary evaluation of the flight zone with the coordinates of a short-range aircraft is shown. To improve the accuracy of calculations, it is possible to supplement the systems of equations with components of the lateral force, lift force, Magnus force, aerodynamic moments, rudder angles, etc. Also, to improve the accuracy of the numerical solution of equations, higher order solution methods can be used.

Hydraulic device being considered in the article represents a component part of the heat exchanger, which includes distributing and receiving collectors. These collectors are interconnected by a set of eight parallel identical sections, located across the channels of the working fluid supply and discharge. Each section consists of six micro-channels, which inner finning is accomplished in the form of symmetrical trapezoids with a narrow upper edge. The operative range of velocities for the given type of hydraulic device is 0.1-3 /s, and the flow within this operative range is laminar. The article presents modeling at the working fluid velocity of 0.1 m/s for two, four, six and eight sections of the collector according to the fundamental technique described in the I.E. Idelchik’s reference book on hydraulic resistances. Numerical modeling was performed with the openFoam package for solving continuum mechanics problems in the stationary setting based on finite volumes using the simpleFoam solver. Computations were made by the method of establishing using iteration convergence procedure by the velocity mis-tie of 10^–7 and pressure mis-tie of 10^–6. The delivery collector computational grid was built in the Salome package and consists of 6 million tetrahedral elements for the eight-section collector. Analysis of the results obtained by the theoretical calculation of hydraulic resistances differs greatly from the numerical modeling data at the identical problem setting, which might be associated with poor applicability of the I.E. Idelchik’s technique for this kind of structures, and flagrant necessity for new techniques introduction for hydraulic resistance computing of complex collector systems. As the result of the study, the flow velocity distribution and pressure difference, decreasing with the number of sections increasing, were obtained as well, and the absence of hydraulic plugging along the equiscalar surfaces was demonstrated.

In this paper, the problem of free oscillations of an ideal stratified rotating incompressible fluid filling a cylindrical cavity in a solid is considered. The normal oscillations of a stratified fluid at a low rotational speed are studied in the case of full or partial filling of a cylindrical round tank with liquid. Recently, there has been interest in the study of oscillations of a stratified fluid filling a vessel of finite dimensions (oscillations of oil and other liquids in various reservoirs). The study of the motion of a rotating ideal stratified fluid in a limited volume leads to very peculiar boundary and initial problems. In this paper, we investigate the problem of oscillations of an ideal incompressible stratified fluid whose density at rest varies along the vertical axis. The questions of the interaction of an ideal stratified fluid and the cavity of a moving solid body are considered, and solutions to problems of normal (natural) oscillations of a fluid with boundary conditions are presented. To study the vortex motion of a rotating homogeneous fluid, the method of state functions of S.L. Sobolev or the method of generalized potentials of F.L. Chernousko is usually used. The method of generalized potentials, which uses some restriction on the change of variables from time, is more convenient in this sense. The method of F.L. Chernousko makes it possible to emphasize the hydrodynamic problem from the general problem of the mechanics of the body-liquid system in the most complete way. Numerical results of determining the eigenvalues and eigenfunctions of normal fluid oscillations are given at a constant buoyancy frequency in the form of tables and graphs.

Low cycle loading of a flat specimen with a continuous displacement velocity field, taking into account the material compressibility condition. Subject of study — Determination of crack initiation moment conditions under low-cycle loading of a flat specimen with a continuous displacement velocity field under flat deformation and flat stressed state with consideration of material compressibility. The purpose of this work is to investigate the processes of tension, compression and sequential tension-compression of a flat sample with a continuous field of displacement velocities under flat deformation and a flat stress state, taking into account the compressibility of the material at small deformations. The compressibility of the material associated with the law of conservation of mass, formulated in the form of the continuity equation, leads to a change in density in the process of loading, in accordance with which the logarithm of the material derivative of density over time is added to the system of equations determining the field of displacement velocities.

The following methods were used in the study: analytical method for determining velocity and strain fields, propagating wave method for solving homogeneous differential equations.

The following results were obtained in the course of the study:

• relations for determination of plastic deformations in problems of uniaxial deformation of a flat specimen with a continuous displacement velocity field taking into account compressibility of the material under flat deformation conditions;
• relations for determination of plastic strains in problems of uniaxial deformation of a plane specimen with a continuous velocity field of displacements, taking into account compressibility of the material in a plane stress state.

The results of the study can be applied in the development of mathematical models of behavior of elements of real structures in the problems of modern mechanical engineering and construction, as well as in evaluating their strength.

This article contains the derivation of the equations of motion of a solid case with a two-layer fluid, considered as one mechanical system. The dynamics is based on the principle of least action in the form of Hamilton-Ostrogradsky. The variational formulation of the problem of dynamics has certain advantages, for example, from the point of view of substantiating the necessity and sufficiency of the derived equations and boundary conditions, and considering the body and fluid as one system allows one to achieve a certain multiplicity. The mechanical meaning of the equations is interpreted, which are presented in several different forms, in particular, in the form of the Lagrange equations. The question of the integrals of the equations of motion and the conditions under which they take place is considered.

The article is devoted to the formulation of the variational principle for a multilayer ideal heavy fluid located in a cylindrical cavity of a solid body that performs specified angular oscillations around a fixed axis. A similar problem is due to the fact that the application of the variational principle in continuum mechanics is based on the Hamilton-Ostrogradsky principle, the mathematical form of which is written in Euler variables for hydrodynamic problems acquires significant mathematical differences. The article shows that with the help of the variational principle, written in a form different from the traditional one, it is possible to obtain a complete set of equations of nonlinear motions of liquids, including nonlinear kinematic and dynamic conditions on the interfaces of liquids filling the cavity of a solid body that performs a given movement.

The article considers the problem of developing a laser triangulation rangefinder mathematical model with a structured backlight. Unlike the well-known approach based on Bresenham algorithm application, the model enables sub-pixel accuracy of the centers forming of the backlight markers, as well as accounts for their shape and brightness distribution while the structured lighting projecting onto the object at various angles.

Sub-pixel accuracy ensuring is achieved by determining the 3D-coordinates of the highlight markers’ brightness peaks employing the ray tracing method, and their pixel coordinates by the projective camera model. Lambert’s law of cosines is used to compute the reflections intensity. The shape and angular orientation of the highlight marker image are being determined by information about the angle between the normal to the surface and the direction of the radiation incident on the object, as well as by the parameters variation of the two-dimensional Gaussian distribution.

To ensure the stability of information transmission using a radio channel, the influence of noise and interference is of great importance. In systems with relative (differential) phase manipulation (OFM), the so-called «reverse operation» mode is excluded. These signals are not much inferior in noise immunity to phase-manipulated signals. In addition, incoherent reception (demodulation) is possible, which greatly simplifies the receiving device. The use of such signals and incoherent reception is preferable in cases where the phase of the carrier oscillation changes dynamically and / or randomly and tracking it is difficult, especially in the presence of structural interference of various types. To calculate the probabilities of bit errors, we determine the models of the radio signal and interference. We derive formulas for calculating the average probabilities of bit errors of incoherent reception of a radio signal from OFM-2 in the presence of linearly frequency-manipulated interference. The conclusion of the final formula for calculating the average probability of a bit error with a priori equal probability of information symbols is a half-sum of the probabilities of receiving the first (S1) and second (S2) bits. The graph of the dependence of the probability of a bit error on the signal-to-noise ratio at fixed values of frequency deviation and interference levels shows at what level the signal is provided with the required values of the probability of a bit error.

The graph of the dependence of the probability of a bit error on the magnitude of the frequency deviation is symmetrical with respect to its zero value. The curve in each direction has a wave-like appearance with decreasing minimum and maximum extreme values. Analyzing the obtained graphs, it can be noted that for certain, well-defined values of frequency deviation, the influence of interference with the LFM is minimal, and the less this influence is, the lower the level of interference. On the other hand, for some values of frequency deviation, the interference effect in the bit error probability metric is 3-4 orders of magnitude higher than the minimum values. The presence of interference leads to a dependence of the probability of a bit error on the value of the initial phases of both the signal and the interference, even in conditions of incoherent reception. To obtain a phase-averaged value of the bit error probability, statistical averaging over the initial phases is necessary. The developed technique makes it possible to qualitatively or conditionally quantify the effects of linearly frequency-manipulated interference on the reliability of transmitted information in the radio channel when the interference frequency is shifted.

The problem of estimating the noise immunity of OFDM-signal reception in the conditions of unintentional narrowband noise interference with different ratios of the width of the signal spectrum is considered. At the same time, narrowband noise interference is understood as Gaussian noise interference with a uniform frequency band-limited spectrum, not exceeding the band signal frequencies. To solve this problem, a simulation model of the communication channel with OFDM has been developed. The simulation results are presented showing the change in the average probability of the channel bit and information bit errors depending on the spectrum width and the central frequency in the interference spectrum at different signal-to-noise ratios. In the course of the study, the dependences of the average probability of a channel and information bit error on the signal-to-noise ratio with a fixed signal-to-noise ratio for OFDM-QPSK type signals under the influence of a noise interference signal aimed at the width of the spectrum with different values of the central frequency in the interference spectrum were obtained. The dependences of the average probability of the channel and information bit error on the signal-to-noise ratio with a fixed signal-to-noise ratio for OFDM-QPSK type signals under conditions of exposure to narrowband noise interference with different values of the spectrum width and a fixed central frequency in the interference spectrum were obtained. When developing the model, the theoretical foundations of OFDM signal generation technology were used, the proposed model implements cascade coding and interleaving similar to the IEEE 802.16 family of standards. It is shown that not only noise interference aimed at the width of the spectrum, but also interference with a spectrum width less than the width of the signal spectrum can have a negative impact on the noise immunity of receiving OFDM signals.

Accurate and efficient signal frequency measurement is an important signal processing task in many technical applications, such as radio electronics and communication systems, modern information transmission systems, research and medical, radio navigation and radar systems, monitoring of electronic equipment. Stand-alone frequency counters use discrete counting and interpolation methods, while embedded control systems employ spectral analysis methods using fast Fourier transform (FFT) with the largest spectral component determination and interpolation along two or three spectral lines.

The article considers the effect of additive stationary noise on the estimate of a periodic signal frequency from the spectrum obtained by the direct Fourier transform application to an array of discrete samples, that is, during transition from the time domain to the frequency domain. Frequency estimation methods may be divided into the groups of signal representation in both time and frequency domains. Discrete counting and interpolation methods are most widely used in the time domain, as well as in the frequency spectral analysis using FFT algorithms for maximum spectral component determining and successive maximum coordinate correcting using mathematical transformations, such as interpolation. To reduce the effect of spectral leakage or spectrum deviation, time sequence smoothing is used through multiplying all signal samples by window function weights. The interpolation algorithms being used were modeled, and a modified formula that allows accuracy increasing of the frequency estimate by several fold was proposed.

The interpolation method is the most widely used, in-depth and most wide-spread correction method in the analysis of a discrete spectrum with error estimates depending on the number of samples and the number of spectral lines accounted for. In practical engineering applications, the most important indicators for the quality assessing of an algorithm are the ability to work in noise, speed, and low frequency estimation error.

Based on a brief review of the state of theoretical research and development of interpolation methods for correcting the maximum sample position, the principles and characteristics of the interpolation algorithms currently used are presented. Characteristics of each algorithm are examined by simulation and interpolation errors are analyzed.

The article considers integer estimator methods for GLONASS phase ambiguities necessary in the problems of high accuracy absolute and relative positioning for GLONASS signals measurement with integer ambiguity resolution. Accounting for the integer properties of pseudo-phase ambiguities allows significant reduction in solution convergence time up to the centimeter accuracy level. With a view to frequency division of satellites signals, adopted for GLONASS signals, two problems arise while solving the problems high-precise positioning. They are the difference in the hardware delays of the receiver while measuring pseudo-distances of various GLONASS satellites, and the difference between wavelengths of the signals carrier frequency of various GLONASS satellites. These specifics do not allow integer estimation of the GLONASS pseudo-phase ambiguities. Thus, the known methods developed for the systems with code division, such as GPS, cannot be employed for GLONASS. The presented article deals with the second said problem. Two methods of strict and non-strict integer estimation based on solution of the uncertain system of the linear equations by the S-transform theory are being suggested. The strict integer method is based on integer unimodular transformto the system of linear equations prior to its solution, and does not require the presence of GLONASS satellites with neighboring characters in the visibility zone of the receiver. The non-strict method is simpler in application, but integer estimations may be obtained only observing certain conditions. Conditions at which the difference from the integers may be neglected with the non-strict estimation were analyzed. Both strict and non-strict methods do not require engaging direct measurements of pseudo-distances and pseudo-phases processing. Linear approximation of the receiver phase-frequency characteristic is being used for the pseudo-phase measurements model (linear dependence of the phase delays on the frequency in the receiver is being accepted). The analysis is being conducted on the example of the first differences of real navigation receivers of the IGS network processing, which confirms correctness of the suggested methods and adequacy of the mathematical models being used to the real measurements.

When synthesizing algorithms for detecting and recognizing small-sized aerial objects (SSAO), it becomes necessary to calculate their effective scattering surface (ESS). Small-sized aerial objects, such as light unmanned aerial vehicles (UAVs), UAVs with an electric motor, created according to the format of a flying wing, artisanal UAVs, etc. in recent years have become a threat that poses a danger to civilian and military facilities [1].

Considering that ESS is included in the radar range equation [2], its analytical calculation for the SSAO will allow determining the minimum range at which air objects can be detected by radio monitoring posts. As a result, the early detection of such aircraft will ensure the timely issuance of target designations to firing means for subsequent decision-making on the destruction of the SSAO.

The article deals with the calculation of the RCS of simple objects and objects of complex shape. It has been established that the RCS of objects of complex shape, which include small-sized air objects, can be calculated analytically. The result of the article is a method for calculating the RCS of the SSAO, which involves the use of the RCS values of individual triangles obtained in the process of approximating the object under study in the modeling environment to calculate the resulting RCS.

The article also presents the results of mathematical modeling obtained using the program «Altair Feko», backscattering diagrams of the UAV at different angles of incidence of an electromagnetic wave. As a result, it was found that the backscattering diagram will take maximum values at normal incidence of an electromagnetic wave, and decreases with a change in the angle of exposure of the object under study, respectively.

This work is devoted to one of the main methodological issues of using the object-oriented approach — choosing the method of segmentation of multichannel images. The methods for determining the approach to the development of a segmentation algorithm are considered, as well as the choice of distinctive features to solve the problem of segmentation of images of the earth’s surface to determine the coordinates of an unmanned aerial vehicle (UAV) in order to position it on the earth’s surface.

The theoretical significance of the study is a numerical study of the formulation of the tasks of segmentation of images by stochastic methods. Of practical importance is obtaining the results of experiments on the segmentation of images of the visible and radio ranges, development of training tools and a software package that solves the problems of segmentation of multichannel images.

The main objectives of the study are to develop a model of neural network segmentation of multichannel images of optical and radio range, сonstruction of the procedure for training segmentation models, obtaining comparative estimates of the computational complexity of algorithms and learning characteristics, hyperparametric optimization of various neural network models, obtaining the main dependencies of training parameters, quality and speed of models. The work uses the neural network of semantic segmentation Bisenet, which allows you to get segmented images of the earth’s surface in real time. For the neural network Bisenet, some hyperparameters were configured: the most suitable optimizer and the best strategy for reducing the learning speed were identified (learning rate).

At present, various built-in and external control tools are widely used to ensure reliability and maintain technical availability of space-rocket technology. Models and interrelations allowing associating reliability and control indicators are necessary for the requirements substantiation to the control system characteristics in the technical design assignment with account for the given value of the object availability factor.

The article proposes a simulation model allowing evaluate a complex reliability indicator of an object, namely the availability factor, with account for the control system indicators and characteristics. Unlike the well-known models, differentiated control application, i.e. functional and test ones with different parameters, is being accounted for. Test control is characterized by high reliability, but, as a rule, it leads herewith to the downtime due to the fact that during the test control the object is not in use or is used limitedly extent and some time is required to transfer it from the control mode to the operating one. Functional control is less reliable, but is being performed in the «background» mode, and downtime can be associated only with erroneous control results. The developed model accounts for these types of control specifics. The admission on the parameters stationarity is eliminated as well. The developed model allows processing time-varying values of mean time between failures to account for various intensity of the technical system use for its intended purpose, as well as storage modes.

As the result of the simulation modeling, the availability factor values and the graphs of the availability function were obtained and analyzed. The inference was drawn that, if necessary, the availability function may be used to establish a boundary, below which the value of technical availability should not degrade throughout the entire time.

The practical significance lies in the possibility of employing the proposed model to adjust the frequency of the existing technical objects control, as well as to justify the requirements for control systems in the technical specifications formation for the development (modernization) of automated control systems and technological equipment for the space-rocket technology.

Substantial number of solar electric power generating systems, including those associated with aerospace technology, is being employed to ensure various equipment operation. These systems are being applied on space stations and off-line ground-based facilities, for power supplying for stationary operating complexes, as well as for supplying energy to various industries and consumers.

One of the basic elements of a solar photovoltaic station is automatic system of its power characteristics control. The presented article studied the point of maximum power control system for the off-line power generating installation based on silicon photoelectric panels. One of this work tasks consisted in operation reliability enhancing of the solar system because of the climatic factors affecting it and associate this system operation with the typical requirement of electric energy through the artificial intelligence application. As long as the alternative renewal energy forms are based on natural resources permanently replenished, it is assumed that they are of infinite storage of useful power. The proposed arithmetic model being is an important component of the complex study of photoelectric systems. The proposed arithmetic model is an important component of the comprehensive study of photoelectric systems. The programming environment, which includes numerous models for renewable energy systems, allows analyzing photoelectric installation operation regularities. It is possible to build a plurality of models for the renewable energy systems meant for modeling and analyzing photoelectric installations operation with MATLAB/Simulink. Due to the instability of external factors, such as solar radiation and atmospheric temperature, or unpredictability of possible instances, such as solar panels overheating, it is necessary to employ a maximum power point tracking (MPPT) algorithm for the systems of semiconductor photo converters. The proposed control algorithm application allows significant efficiency increase of the energy converted by the solar station of electric energy, as well as reliability enhancing of the main and auxiliary equipment of photoelectric systems, which may be employed for supplying the off-line objects and operation for the energy system.

This article presents the method of optimizing the landing trajectory of mini-UAV considering constraint of control and landing speed and the method of tracking the found trajectory. The chosen controls are namely normal and tangential overload. The selected objective function is in the Bolza form, including landing accuracy and energy consumption during flight. Applying the Pontryagin’s maximum principle turns the optimal control problem into the boundary problem, which is solved by the parameter continuation method. To verify the optimal trajectory being gained, the authors selects a specific type of UAV to simulate tracking on the aforementioned trajectory through the Matlab Simulink software. The results show the application of the optimal trajectory tracking controller assures the accuracy and safety of UAV landing.

The effect of shading in the real scene under study should be taken into account when studying the state of vegetation using various vegetation indices. For example, the values of such widely used indices as NDVI and LAI are slightly higher in sunny areas compared to shaded areas. The shading effect can also provide useful information of a geometric nature about the location of remotely studied objects in the environment. The object of the study is the effect of shading during spectral surveys of the earth using UAVs equipped with spectral cameras. The subject of the study is the adequacy of the gamma-correction of the shading effect, carried out during spectral surveys. The purpose of the study is to study the degree of adequacy of the gamma correction method for objects that are partially shaded. A significant difference is shown in the degree of adequacy of the γ-correction as applied to objects of the same type with an identical degree of shading in the case of applying the methods of geometric and algebraic averaging. The average value of DN can generally be calculated in two ways: 1. Geometric averaging method. 2. Method of algebraic (convolutional) averaging The difference found is that in the case of geometric averaging, the adequacy of the γ correction is understood in the sense of equality of the average value of the logarithm of the corrected value of the geometric averaging of the shaded and unshaded parts of objects to the average value of the logarithm DN for the unshaded part. However, in the case of algebraic averaging, the adequacy of γ correction is understood in the sense of equality of the average value of the logarithm DN of the unshaded part to the average value of the logarithm of the γ-corrected value DN of the shaded part of objects.

The purpose of the presented article consists in developing a multi-agent system capable of effective management and control of various objects of a power complex. The system will employ artificial intelligence (AI) and machine learning (ML) techniques to analyze data from sensors and other sources to detect and prevent potential problems, optimize energy consumption and improve overall efficiency. The multi-agent system will enable communication and cooperation between the various agents involved in the management of the energy complex, such as operators, engineers and maintenance personnel, as well. The final goal of the article consists in creation of the system, capable of reducing the dead time, enhancing productivity and increasing safety in the energy complex. The work is of a review character, about multi agent system of a «smart city» and its application at the energetics and space-rocket industry in the first place. The results of this work are proposed steps on the multi-agent system general development for its implementation at the power and space-rocket enterprises. The article describes how the «smart city» multi-agent system may be applied at the space-rocket enterprises and power objects in various ways. These systems may be helpful while controlling complex and interrelated processes, associated with space missions, form the spacecraft start and to its operation. Multi-agent systems may enable connection and coordination between different agent, such as ground-based control and satellite systems. They may as well be helpful in energy consumption optimizing and reduce the number of waste due to the energy consumption and storing control. Besides, these systems may help with the maintenance service, revealing potential problems prior they become critical, as well as increasing the space mission overall security and effectiveness. The multi-agent system application at the power objects and space-rocket enterprises may present several advantages such as efficiency, reliability and cost effectiveness enhancing. One inference that can be drawn consists in the fact that the multi-agent system would help optimizing energy production and consumption by coordination and control of the separate agents’ behavior. Each agent in the system may have its certain functions such as energy consumption monitoring, equipment operation control or decision making on the energy storage and distribution.

One more inference consists in the fact that the multi-agent system is able to increase the energetics objects reliability by ensuring redundancy and fault tolerance. In case of one of the agents’ failure, other agents will be able to keep on running and compensate the failure, reducing the risk of dead time and increasing the overall reliability of the system. Besides, the multi-agent system may increase economic efficiency by the energy losses reduction based on the real time data. The system may help as well to control the energy demand reducing peak loads and demand for the extra power for energy production, which will result in savings on costs for both energy suppliers and consumers.

As a whole, the multi-agent system employing on the space-rocket objects and power objects would lead to significant increase in energy efficiency, reliability and economic efficiency, which makes it an up-and-coming approach to control and optimization of power systems.

The paper presents calculations of supersonic cold turbulent jets using the application software. The calculation results are compared with experimental data. Methods are given for adapting the computational grid to obtain high-quality calculation results and save machine resources in the course of calculations. Computational studies of the outflow of supersonic jets, along with experimental works [1, 2, 5–13, 20], are of practical importance for engineering design work in the field of launch vehicle design and their operation. One of the main stages of numerical modeling is the validation of mathematical models on small experimental setups, which should confirm the correctness of the chosen mathematical model and methods for solving the numerical problem. Validation of the outflow of hot gas at supersonic speeds is complicated by the special nature of the flows, which have shock waves in their structure, the complex chemical composition of combustion products and possible chemical reactions that determine the characteristics of the flow. In this paper, we consider the issue of numerical simulation of the shock wave structure described in the literature [1–4] and the turbulent flow of a cold supersonic jet, and also compare the calculated values with experimental data. The calculations presented in the article showed that the use of local adaptation of the grid in the regions of gradients made it possible to reduce the cost of computing power by 8.6 times, and also to achieve good agreement between the numerical results and the results obtained experimentally on a supersonic experimental model.

The problem of motion of a rigid body with a fixed point in a free molecular flow of particles is considered. Suppose the flow consists of identical non — interacting particles, moving with constant velocity along a fixed direction in a fixed absolute space. Suppose the particles interact absolutely inelastically with the rigid body, i.e. after collision the velocity of a particle with respect to the rigid body is zero. Suppose the surface of the rigid body is strictly convex. Then, under assumption, that the flow velocity considerably exceeds the product of the characteristic value of the angular velocity of the rigid body and the characteristic distance from the rigid body to a fixed point, the explicit expression for the moment, acting on the rigid body with a fixed point from the flow of particles are obtained. It is shown, that equations of motion of the rigid body with a fixed point in a free molecular flow of particles are similar in many aspects to the classical system of equations of motion of a heavy rigid body with a fixed point. The corresponding equations of motion of the rigid body with a fixed point in a free molecular flow of particles have partial solutions for which the rigid body performs permanent rotations with constant angular velocity around the streamlines of the flow. Necessary conditions of stability of these permanent rotations are obtained by analyzing the linearized system. When the rigid body is dynamically symmetric, the necessary and sufficient stability conditions of the corresponding steady motions are obtained by analyzing the effective potential of the system.

It is noted that free sinusoidal oscillations in a classical mechanical oscillator are stipulated by the mutual transformation of kinetic energy into potential energy. The oscillator, in which free sinusoidal oscillations are being accompanied by the transformation of the kinetic energy of an inert element into the same kinetic energy of another inert element is well-known. The elements with another nature of reactivity are missing in such oscillator. Such oscillator is essentially mono-reactive. This oscillator disadvantage consists in its imbalance due to the asymmetry of the structure, which may require additional vibration protection measures. This drawback can be avoided by applying a symmetrical scheme with three weights. For the purposes of this work, it is convenient to employ a flat three-coordinate system similar to the three-phase coordinate system used in electrical engineering. For an arbitrary vector R, lying in the three-coordinate plane, which origin coincides with the origin, Theorem 1 is true. The coordinates x₁, x₂, x₃ of the vector R form a regular triangle, which size does not change with an arbitrary rotation of the vector R. Theorem 2. The middle of the vector R is aligned with the center of the triangle x₁x₂x₃. Half of the vector x₁x₂x₃ plays the role of a crank, which in real devices is needed to develop the angular velocity ω and communicate the moment of force to compensate for dissipative losses. In a mono-reactive harmonic oscillator with three weights, free sinusoidal oscillations of any given frequency may occur, which is determined solely by the initial conditions.

A review of the literature was carried out in order to study the state of the problem of predicting the endurance limit of threaded parts. Smooth parts and parts with stress concentrators are considered. An analysis of the destruction of threaded parts (bolts, studs, etc.) experiencing alternating loads during operation shows that, in general, the destruction of threaded parts is of a fatigue nature. The influence of surface hardening of threaded parts by methods of surface plastic deformation has been studied: to increase the service life, that is, to increase the life cycle during the operation of threaded parts at the stage of their manufacture, surface hardening methods are widely used. The maximum effect of their application is achieved under conditions of stress concentration. This is justified, since the destruction occurs in places where the prismatic geometry is violated. It has been established that surface hardening leads to the appearance of compressive residual stresses in the surface layer, which increase the endurance limit of threaded parts. Methods for predicting the endurance limit of threaded parts are considered, their accuracy and reliability are assessed. A separate block considers the issues of modeling the stress-strain state of a loaded threaded part in order to determine the endurance limit by numerical methods. At the stage of machine design, it is important to be able to evaluate the effect of the applied methods of surface plastic deformation. Based on the review, it is concluded that it is necessary to develop a method for predicting the fatigue limit of hardened threaded parts, taking into account manufacturing technology, tightening forces, operating conditions and other factors.

The article considers an approach to the reinforced thin-walled structures design based on the topological optimization method application for models of variable thickness shells. The authors regard the problem of the optimal structural scheme selection of stiffeners in the kink zone of a high aspect ratio wing. The authors regard the problem on the structure-force scheme selection in the fracture zone of the high-aspect-ratio wing. The article contains the optimization problem formulation and computational results for the three variants of the wingtip sweep angle with the specified loading in the form of distributed aerodynamic pressure and concentrated forces at the points of the wing mechanization elements fixing. Numerical modeling is being performed with the models of Mindlin-Reissner type shells, which thickness is being determined by the values of the additional node variable, being introduced in the topological optimization problem. Optimal thicknesses distribution along the model elements at the specified limitations on the structure weight and stiffening fins height is being defined by the results of the optimization problem solution with the goal function in the form of the total energy of deformations, occurring in the solution. The solution regularization is being ensured by the minimum size selection of the finite element mesh elements. The article demonstrates that the applied technique and topological optimization results may be employed for optimal framing set configuration of reinforced thin-walled structures with enhanced weight effectiveness.

The article being presented develops approaches to mathematical modeling of nonlinear strain waves propagation in the continuous heterogeneous media. These models are up-to-date and scientifically significant for the prospective aerospace engineering due to the more-and-more increasing application of modern composite materials with significantly nonlinear physical and mechanical properties. The authors proposed a mathematical model for circular and annular channels completely filled with viscous fluids and formed by the two coaxial cylindrical shells. The shell material is considered incompressible and possessing the physical law with fractional degree nonlinearity, associating stresses, strains and strain intensity. Derivation of equations of the shell with fractional nonlinearity dynamics (Schamel nonlinearity) was performed to develop a model. The coupled hydroelasticity problem for the two coaxial cylindrical shells filled with viscous fluids was formulated. The fluid dynamics were considered within the framework of the Newtonian incompressible fluid model. Fluid motion in annular and circular channels is being studied as creeping one. The authors performed an asymptotic analysis of the hydroelasticity problem, and obtained a system of two nonlinear evolution equations generalizing the Schamel equation. It was demonstrated theoretically that in the considered statement, the presence of a viscous fluid in a circular channel has no effect on the nonlinear wave process in the shell-walls of the channel. The article proposes a new difference scheme for solving the obtained system of the two nonlinear equations based on application of the Grebner bases technique has been proposed. A series of computational experiments have been carried out, which revealed that the nonlinear strain waves in the walls of the considered channels are solitons.

The destruction of shell structures is a rare man-made disaster that occurs for numerous reasons. When designing shell-type structures, calculations are made for strength and stability, operating modes are taken into account, and real calculations are not made for the occurrence of the resonance phenomenon, which thin-walled shell structures are subject to. This happens due to the discrepancy between the existing mathematical models and the behavior of real structures. To combat the phenomenon of resonance, designers usually increase the safety margins when calculating shells, which increases the cost of objects, but does not completely solve the problem. In most cases, this resonance phenomenon is combated by strengthening the structures, which leads to an increase in the material consumption and cost of the structures. Antiresonant devices are used extremely rarely, despite their low cost, since the available mathematical models do not accurately describe the process of vibrations of cylindrical shells. And without accurate mathematical models, it is impossible to control antiresonance devices. In this paper, the authors refined the computational model of the process of vibrations of a shell of small length (ring) carrying a small added mass, taking into account torsional vibrations, and experimentally verified the model obtained. The study is a consideration of the contour, which in this case can be represented as a cylindrical shell of small length (ring). Quite logical is the criterion of the oscillatory motion of this shell, namely, changes in the radius in the course of vibrations. Based on the data obtained, it can be concluded that the vibrations of the shell, in this case, radial and torsional vibrations predominate, are classified as high-frequency vibrations.

This article regards a variant of the problem of a flat freely supported plate loaded with a concentrated force applied at a displacement relative to the center of the plate and acting along the normal to its surface. For such a problem, the topological optimization technique formulated earlier by the authors for the models of plates of variable thickness offers a simple solution for selecting the optimal orientation of stiffening ribs that ensures minimum deflections of the plate under load. In the topological optimization problem, the resulting stiffening ribs are arranged symmetrically relative to the plate central plane, and the angle between them depends on the magnitude of the load application point displacement. To check the efficiency of the applied optimization technique the authors suggested considering a similar problem for a plane-space frame, in which the element structure repeats the arrangement of the stiffness ribs that appear in the solution of the topological optimization problem for the plate. The solution for the frame deformation problem can be easily constructed in analytical closed form. It is possible to determine the optimum angle of opening of the frame elements for a given location of the load application point based on this solution. The article demonstrates that there is a qualitative consistency between the optimal geometry of the frame found from the analytical solution and the optimal geometry of the corresponding reinforced plate found from the solution of the topological optimization problem. Particularly, the same characteristic dependence of the optimal angle of stiffening ribs opening on the magnitude of load application point displacement relative to the center of the plate is established.

This article considers the nonstationary problem of a plane pressure wave impact on a spherical shell in an elastic medium. Both desired and prescribed functions are represented in the form of series by the Lejandre and Hegenbauer polynomials to obtain the analytical solution of the non-stationary diffraction problem of the flat pressure wave on the spherical surface in an elastic medium supported by the thin shell. The solution method is based on the expansion into series on the system of eigenfunctions and application of the Laplace integral transformation in time. As the result, analytical expressions were obtained for all desired functions, which allows studying non-stationary strain-stress state and displacements both on the shell and at any point of the elastic medium.

The problems of elastic waves diffraction on various types of heterogeneities relate to the most difficult and up-to-date problems in the dynamics of deformable bodies. In the applied terms, it is explained by the circumstance that the information on the stress-strain state near these irregularities is of great interest for various purposes. Besides, the presence of heterogeneities (inclusions, cavities, notches, local changes in properties, etc.) is an indispensable condition arising in various fields of modern engineering. Such tasks include the following: creation of new structures, working at dynamic loads, development of new composite materials and their introduction at creation of engineering constructions, modern tasks of geophysics and seismology, and also a number of other tasks of scientific and technical character.

The article is devoted to the study and modeling of work processes in a multichannel hollow cathode. A similar cathode design is used in various plasma devices and high-current electric rocket engines. The design is relevant for use in electron closed-drift engines or ion engines currently being developed worldwide for use in powerful transport space systems.

The article presents the theoretical foundations of two-dimensional modeling of thermal, electrical and erosion processes in a multichannel packed hollow cathode operating in an arc mode with pumping of plasma-forming gas. The formulated system of equations allows calculating the local and integral characteristics of the cathode based on the minimum possible set of input parameters. Distribution of cathode temperature, current densities in cathode body and plasma channels, plasma-forming gas pressure in channels, concentration of charged and neutral particles are simulated. Also described is a model of erosion processes, which includes processes of evaporation, sputtering, recycling, which makes it possible to calculate local and integral erosion of the cathode.

The article also presents the results of an experimental study of several samples of multichannel cathodes and compares the results of the experiment and design modeling for a number of key parameters: cathode temperature and cathode voltage drop depending on the consumption of plasma-forming gas and discharge current. An important point is the comparison of the results of cathode erosion. The model predicts the voltage-current dependencies and the erosion rate within the 10% of accuracy, while the temperature calculation is affected by an error of about 20%. The results show that the proposed model correctly describes the parameters of the cathode and can be used in the design of this type of cathodes.

The article considered and solved the problem on the viscous fluid flow between the source and the drain at small Reynolds numbers. It presents the analytical solution of the Stocks equation when bipolar coordinates utilization. The sought-after function is represented as a sum of the two components, first of which satisfies the boundary conditions, while the application of the other component satisfies the initial Stocks equation in the bipolar system of coordinates. Approximation of the first component the flow function by the simple dependence allows reducing the initial equation with variable coefficients to the three ordinary differential expressions with constant coefficients relative to the second component of the flow function. Analytical solution is presented for the three ordinary differential equations. The examples of the computed flow function in the dimensionless form for various distances between the source and the drain are presented. Comparison of the flow functions calculated values with the experimental data from the literature sources demonstrates reasonable agreement.

The problem of optimizing aerodynamic thick airfoils is relevant for the development of non-traditional aircraft, such as a flying wing [1], a hybrid airship [2], etc. Modern numerical simulation methods make it possible to optimize the aerodynamic airfoil shape according to a given objective function. In this study, the task was to reduce the aerodynamic drag of the airfoil with its largest area, that is, in the three-dimensional case of maintaining maximum internal volumes. The commercial ANSYS software package (license number 501024) was used for optimization. Numerical modeling of the airfoil flow was carried out on the basis of solving the complete Navier-Stokes equations, averaged over Reynolds (RANS—Reynolds-Averaged-Navier-Stokes) and closed using Menter’s two-parameter SST turbulence model. The shape of the profile is changed by varying a number of geometric parameters on the upper surface of the profile. Half of a circular cylinder with rounded sharp edges was chosen as the initial profile shape. By optimizing the profile shape using numerical simulation methods, its aerodynamic quality has been significantly increased.

Numerical simulation of a two-dimensional turbulent airfoil flow was carried out using the Fluent CFD software package included in the ANSYS computing environment. The Fluent package contains a fairly wide range of tools for numerical simulation of turbulent flows, however, based on the experience of previous studies [3,4,11] and known literature [11-20], the main methods for calculating the turbulent flow around a profile were determined. The control volume method was used to discretize differential equations [3,4,11,20]. Using the semi-implicit SIMPLE method [20], the pressure was determined, the second-order upwind scheme QUICK was used to approximate the flow terms on the edge of the control volume, and the second-order upwind scheme was used for the turbulence parameters.

Based on previous studies [3-5], the flow around a thick airfoil with a separation zone has been improved by using vortex cells. The application of the vortex cell method is based on the placement of oval-shaped cavities in the area of the separation point from the upper surface of the profile, in which a circulation flow is organized in one way or another.

The author derived a boundary condition considering energy dissipation near the three-phase contact line based on the Hamilton—Ostrogradsky principle. A numerical algorithm has been developed for calculating the damping factor due to energy dissipation near the three-phase contact line based on the finite element method. A variation formulation of the problem is derived from the of the motion equations linearization of the liquid relative to the equilibrium free surface. The area occupied by the fluid was discretized by the finite elements, and the eigenvalue problem, which solution represented a complex frequency, was obtained. In the work being presented, a pendulum and a spiral spring simulate the impact of mass forces and surface tension force respectfully, and the fluid viscosity is accounted for by the linear damper. The mechanical analog parameters are determined from the principle of dynamic similarity, eigen frequency, damping factor and kinetic energy of the fluid and its mechanical model. The article presents quantitative estimation of the capillary number Ca (viscous force and surface tension force interrelation), the Bond number B0 (mass forces and surface tension force interrelation) and the liquid filling factor β (liquid volume to the vessel concavity ratio) effect on the damping factor and eigen frequency of the capillary liquid oscillations. It follows from the studies that the capillarity number greatly affects the energy dissipation near the three-phase contact, and its value in the range of 10–100 leads to the greater value of the damping factor of the order of the damping coefficient on the vessel wall. The obtained results may be employed for the dynamics and stability studies of the rooster super stages, upper-stage rocketsand other spacecraft with the liquid containing cavities.

This paper presents the process of developing an optimal algorithm for processing radio signals from sources of radio emission by an aviation system of radio technical surveillance.

The main tasks of radio signal processing, which are solved by aviation means of radio technical surveillance, are described. The interdependence of the decisions made in the detection, resolution, estimation of parameters and recognition of radio signals from sources of radio emission is shown. An analysis of the factors that reduce the effectiveness of radio surveillance equipment is carried out, and ways to improve it are proposed. For the case when the source of radio emission belongs to the a priori type library, the procedure for performing processing tasks is substantiated. The loss function is defined, which describes the process of processing information about the received radio signals and provides the interconnection of the decisions made. Based on Bayesian synthesis, an algorithm has been developed in which the problem of a priori uncertainty is solved by changing the sequence of performing radio signal processing procedures. A block diagram of the developed algorithm is presented. The feasibility of the developed algorithm is assessed.

The relevance of the work on the development of an algorithm for processing radio signals in aviation system of radio surveillance is due to the complexity of the modern electronic environment, the increasing importance of objects containing radio emission sources, and the need for effective countermeasures.

The joint optimal algorithm provides the lowest total Bayesian risk, but is not feasible due to high computational costs. Therefore, it is required to make a transition to a joint quasi-optimal algorithm.

The article proposes an approach that makes it possible to place a scanning antenna array with a patch emitter on an unmanned aerial vehicle without reducing its aerodynamic characteristics.

The purpose of this work is to research the characteristics of conformal antennas on a cylindrical surface, which allow wide-angle scanning at the required frequency and polarization for further use in unmanned aerial vehicles.

The object of research is antenna arrays modeled in the CST Microwave Studio program, placed on a cylindrical surface.

The result of the work is to obtain the necessary phase distribution and the excitation sector of the antenna array elements to achieve the required field of view during scanning.

The approximation of individual sections of the aircraft by simple geometric figures such as a cylinder, a ball and a cone was adopted. They decided to place the antenna array on the fuselage, which was presented as a cylinder.

The phase distribution is found using the geometrical optics approximation to focus the beam in a given direction. Azimuth scanning takes into account the shape of the cylindrical surface.

To reduce the level of spurious radiation without using the amplitude distribution, we have selected the optimal excitation sector of the antenna array elements.

The simulation results confirmed the possibility of scanning the antenna array in a given sector of angles in azimuth and elevation.

The proposed approach for creating an antenna array can be built into an unmanned aerial vehicle, after the design has been finalized, already taking into account the real device. It will also be necessary to design the feeding system with phase shifters, power splitters and antenna switches.

A sampled harmonic signal frequency estimating is an important task while signal processing in many applications such as radio communications, monitoring and control systems and others. Discrete spectra may be employed to measure frequencies of the sine signal components. The said measurement consists in digitizing the composite signal, performing window processing of the signal samples and cpmputing their discrete amplitude spectrum, usually using a fast Fourier transform algorithm. However, the frequency of a sine component can be determined with improved resolution using the moment method of the largest consecutive element of the spectrum corresponding to this component. The abscissa of its maximum represents the best frequency approximation.

An algorithm for the frequency estimating of a sampled harmonic signal of limited duration by the method of moments is proposed, which allows obtaining a weighted average estimate of the energy spectrum peak position. The methodological component of the error depends on the degree of closeness of the frequency true value and the energy center position, due to the type of window function. The error is being determined by the step of the fast Fourier transform (FFT) frequency grid, the type of the window function used, and duration of the signal sampling interval. The article shows a noticeable effect of the even and odd structure of the spectral lines being accounted for. In the symmetry region of the even spectrum structure, when the levels of the principal components change, a jump in the methodological error is formed, which can be eliminated by introducing correction or limiting the operating frequency range to the region of odd symmetry. The authors propose introducing an estimate of the spectrum structure into the algorithm and automatically select an even number of spectral lines for the spectrum close to even symmetry and an odd number for odd symmetry to compute frequency. The maximum methodological error can be reduced herewith by an order of magnitude or more. Some windows allow increasing the frequency measurement resolution by more than an order of magnitude. The purpose of this article is to show as well that even better results are achieved using the Chebyshev window. This method has been employed to set up measurement systems in control and management systems.

The article deals with the noise immunity study of the coherent quadrature receivers employing signals with discrete phase modulation, and considers the impact of an additive mixture of white Gaussian noise and angle-modulated unintentional interference during the BPSK and QPSK signals reception. Spectrum bandwidth of the interference with angular modulation and its center frequency match spectrum bandwidth and center frequency of the useful signal. The bit error rate was used as quality indicator of the receiver’s functioning. The article presents an analytical study of the bit error rate dependence on the ratio of the useful signal power to the powers affecting the receiver of unintentional noise with angular modulation and white Gaussian noise. The association of the obtained expressions with the known expressions describing the effect of separately white Gaussian noise and unintentional interference with angular modulation on a coherent signal receiver with discrete phase modulation is adduced. The article explains how these expressions may be obtained from those obtained, by way of the passage to the limit. The authors demonstrate with the obtained expressions that at the certain powers of unintentional interference significant change of the bit error rate dependence on the signal-noise ratio is possible. The obtained analytical dependences of the bit error rate while receiving both BPSK and QPSK signal against the background of unintentional interference and white Gaussian noise may be applied to assess the electromagnetic compatibility of communication systems using discrete phase modulation signals.

This paper presents the results of the development of a hardware-software complex for testing blind signal processing methods in problem of increasing noise immunity in communication systems. The developed hardware and software complex includes two mixing circuits, a multichannel receiver and a personal computer. Digital receiver is based on the combination of software-defined radio systems (SDR) and consists of eight analog-to-digital converters, a field-programmable gate array (FPGA) circuit and a PCI-Express bus for transmitting data to a PC for processing and demodulation. The description and functional setting of the purpose of receiving and processing signals are involved in the work, as well as the results of verification of the hardware-software complex. The results of verification of practical methods for the use of blind signal processing capabilities for interference in radio information transmission systems are obtained. When checking, the maximum data transfer rate in the continuous bit stream mode was determined when processing a mixture of BPSK signals with pulse noise of various shapes. This transmission rate exceeds 905 bps. To increase the maximum speed, it is possible to use a more powerful PC, transfer the demodulator and blind signal processing algorithms to the FPGA.

The modern cognitive radio systems and the spectrum monitoring devices used in spectrum management must perform wideband signal analysis. One of the ways to achieve a wide instantaneous analysis band is to use a multichannel sub-Nyquist receiver. Such a device receives signals from the many Nyquist zones and analyzes their aliases in the first zone. It can disambiguate frequency measurements by aggregating information from several independent channels having different sampling frequencies.

Previously, the author studied errors in determining the time-frequency parameters of pulses time-overlapped in the sub-Nyquist receiver prototype. These studies have shown that this receiver can be used in a complex signal environment. At the same time, the assessment of the maximum level of the signal environment complexity, at which it is possible to use a sub-Nyquist receiver, has yet to be previously performed. This estimation is carried out in the present work by determining the number of pulses simultaneously processed with a given quality.

As a quality criterion, we assume the probability of correct classification should be no worse than 0.8. For this, the abnormal error probability in determining the time-frequency parameters of the pulse should be no more than 0.1. A numerical experiment showed that this condition is satisfied when the number of pulses overlapped in time is not more than 4...5 (depending on the parameters of the receiver).

The calculation shows the possibility of transmitting a stream of pulse descriptor words over the 10GE interface, assuming that five pulse descriptor words are formed in each analysis window (the worst situation). The bandwidth of the transmission channel is more than six times.

In accordance with the previously considered classification of the signal environment, the receiver under study can be used in a signal environment of the third level of complexity and lower.

The results can be used to substantiate the composition of wideband analysis tools depending on the expected complexity level, select the parameters of a multichannel sub-Nyquist receiver, and predict the appearance of abnormal errors in determining the time-frequency parameters of pulses in the receiver.

As of today, the onrush development of the unmanned aviation and of its application scope are observed. Besides the application in economic activity, the scope of the unmanned aviation functions by special services and in military sphere is constantly growing. The small-sized and nearly invisible unmanned aerial vehicles present are of special peril. The problem of low-observable targets detecting, tracking and intercepting for the socially significant objects protecting occurs. The article proposes a method for integration of the unmanned aviation detection, tracking and intercepting managing means, as well as synchronization of the control for these tasks solving. The article presents the description of the open information transfer protocol used in a wireless two-way exchange channel for the interception means control. Classes of possible interception objects and the structure of the complex for the interception process organization are determined. The article proposes scenarios of interception options, and presents their time characteristics as well as describes the options for radar stations that ensure detection of small-sized and low-observable objects with low values of the effective scattering area. The article describes the currently up-to-date task of identifying features of the aerial objects observed by radar for recognition and decision-making with the allocation of classes of artificial and natural origin as well. The article defines methods of useful data extracting from the reflected signals employing a convolutional neural network, and considers two options of neural network structuring, in which the input data is represented as a graphical representation of the spectrum of the reflected signal (in grayscale) and in the form of arrays of numbers.

The presented article considers the result of the dynamic system synthesis describing the amortization and damping system behavior of the strapdown inertial measurement unit for a spacecraft. The "JSC "TsENKI"—"NII PM" In-house design high-accuracy vibration-string accelerometers are employed in the unit as sensitive elements. With account for the internal shock absorption system, these accelerometers may be described as oscillating links with small damping coefficient and finite free movement, which limits their application with external vibrational high-energy impacts. The necessity of extra shock absorbing system introduction to the unit is being dictated by the device readings utilization in the spacecraft control system in all flight modes, including off-nominal ones. This shock absorbing system is also an oscillatory link affecting the shock absorbing system in the accelerometer, and subjected to the response impact from it. As the result, the problem resolves itself into developing a system with the feedbacks encircling oscillatory links with its subsequent analysis. Linear acceleration in the form of a random signal comes to the system input, and the system output is a linear translation, which is necessary to be kept within certain limits.

The JSC "TsENKI"—"NII PM" has the experience in the dynamic system prototype unit resistant to the external mechanical impacts developing. The article considers the process of design, development and analysis of the linear model of the shock absorbing and damping system described in Python language and confirmed the possibility of ensuring the given requirements to the unit sturdiness to the input impacts. As the result, the optimum range of dynamic characteristics of the damping and shock absorbing system was found. The obtained results will be used further for the nonlinear system modeling and its in-depth analysis.

As of today, the onrush development of the unmanned aviation and of its application scope are observed. Besides the application in economic activity, the scope of the unmanned aviation functions by special services and in military sphere is constantly growing. The small-sized and nearly invisible unmanned aerial vehicles present are of special peril. The problem of low-observable targets detecting, tracking and intercepting for the socially significant objects protecting occurs. The article proposes a method for integration of the unmanned aviation detection, tracking and intercepting managing means, as well as synchronization of the control for these tasks solving. The article presents the description of the open information transfer protocol used in a wireless two-way exchange channel for the interception means control. Classes of possible interception objects and the structure of the complex for the interception process organization are determined. The article proposes scenarios of interception options, and presents their time characteristics as well as describes the options for radar stations that ensure detection of small-sized and low-observable objects with low values of the effective scattering area. The article describes the currently up-to-date task of identifying features of the aerial objects observed by radar for recognition and decision-making with the allocation of classes of artificial and natural origin as well. The article defines methods of useful data extracting from the reflected signals employing a convolutional neural network, and considers two options of neural network structuring, in which the input data is represented as a graphical representation of the spectrum of the reflected signal (in grayscale) and in the form of arrays of numbers.

The subject of the study is multi-cycle remote sensing systems, particularly, the optimal multi-cycle remote sensing systems based on unmanned aerial vehicles (UAVs). Analysis and synthesis of a multi-cycle remote sensing mode is being realized by measuring equipment installed on the UAV. Two optimization problems are considered and solved. In the first problem, measurement cycles in the number of n differ in the fact that the flight altitude in every cycle is different, and the problem of determining the optimal relationship between the flight altitude and the cycle duration is being set. The second optimization problem envisages computing the optimal dependence of the cycle duration on the length of the distance traveled during one cycle.

As the result of solving the first problem, the author shows that a specially formed functional of the target, called the «UAV flight area», will reach its minimum if the flight altitude is decreasing so far as the duration of the measurement cycle is increasing. The result of the second problem solution reveals the amount of information obtained in multi-cycle mode reaches its maximum value given a direct interrelation between the said indicators.

The results obtained in this work may be applied while the development and application of remote sensing systems, based on the unmanned aerial vehicles, operating in a multi-cycle mode.

The main inference of the study consists in the fact that remote sensing systems operating in multi-cycle mode may be optimized by various criteria. The optimization criterion selection herewith depends on the purpose set for the concrete realization of the remote sensing system based on the UAV.

The article presents the results of the research oriented to developing a method and device for technical condition determining of the aircraft cabins glazing elements. Technical ways of constructing an optoelectronic non-destructive testing system capable of determining the amount of movement of aircraft glazing elements during changes in excess pressure inside the cabin of the aircraft are considered. The authors propose employing the speckle structures method of optical radiation, which operating principle is based on determining the glazing elements displacement by the parameters changing analysis of the speckle fields being recorded, as a non-destructive control tool. The rigging for installing and sensing the glazed parts of the aircraft cabin with the speckle field was developed for practical realization of the said method. The program module for the speckle fields being registered recording and processing with subsequent issuing the amount of the controlled cabin glazing section displacement at the excessive pressure occurrence in the cabin was developed as well. The article presents the results of the full-scale tests of the pilot sample of the developed hardware-software complex while the aircraft cabin tightness determining by analyzing the changes in the number of cases of glazing escaping from the sealing.

The test results confirmed the claimed possibility of determining the size of the glazing escape from the sealing with the developed hardware and software complex. Application the complex during the of aviation equipment operation will significantly reduce economic costs and the number of errors in determining the size of the glazing escape from the sealing s well as increase the probability of determining the of the adhesive joint destruction inside the sealing.

Direct solar energy conversion systems based on semiconductor photovoltaic cells have been employed for decades for aerospace technology and ground-based consumers. The article presents the developed information and control system for combined electric energy generating installation by solar and wind energy conversion. A combined system, which employs two or more stable energy sources, is known as a hybrid renewable energy system. It will facilitate uninterruptible energy generation and allow employing one source in the absence of the other, which is its irrefutable advantage. The study proposes the hybrid energy conversion positioning, which includes photovoltaic panels, wind power generator and batteries. The presented work performed control system optimization of the proposed hybrid wind-solar system, which enhanced significantly efficiency of its application and performance reliability. The model of photovoltaic and wind output power, as well as the model of the battery charging and discharging were obtained by studying the output characteristics of the generating power station. Parameters such as the average annual net profit as a target function and region and area characteristics, planned scale, complementary properties, resources utilization factor and stability of the output as limitations were used while development. A model for the hybrid system of photovoltaic conversion, wind generation and energy storage was constructed employing the proposed method. The results of the experiment demonstrate the proposed approach validity and robustness. The emissions trading revenues inclusion makes the model more accurate. The ideal result is more useful as well. As the article shows, the solar photovoltaic panels distribution affects the overall power generation of the hybrid system. It employs a solar panel connected with a hybrid controller and a wind turbine. The results revealed that continuous power generation was possible when the solar panel was connected with the wind turbine, which improved its power output.

This article is concerned with the substantiation of the design appearance of a reusable single-module launch vehicle (LV), which ensures the delivery of a playful payload (PlP) on board the orbital station. The design appearance of the LV is determined by the totality of its geometric, mass and energy characteristics. During the research, the KORONA single-module LV project designed at the OAO “Makeyev Rocket Design Bureau” was used as a parent variant. The research included a comparative analysis of the schemes of the power plant (PoP) and the layout of fuel containers for the LV, which ensures the delivery of the PlP to the orbital station operating in a sun-synchronous orbit with a height of 350 km and an inclination of 97 degrees. When determining the mass-dimensional characteristics of the LV, it was assumed that a PlP with a total mass of 5000 kg was delivered to the orbital station, which includes a cabin with a crew of four and 2000 kg of cargo in an unpressurized compartment, followed by the recovery of the crew and 200 kg of associated cargo to earth. Calculations of energy characteristics were carried out by modeling the motion of center of mass of the LV during the development of a typical flight pattern. This pattern includes launching the LV into an elliptical exchange orbit, ballistic pause, testing of the apogee pulse, which ensures the transfer of the LV to the working orbit of the station, splicing, deorbiting by testing the deceleration pulse, aerodynamic deceleration in the atmosphere and the final rocket-dynamic braking, which ensures a soft landing of the LV near the launch point.

According to the results of the research, the design appearance was formed and the limit (critical) masses of the structure and fuel filling were determined, as well as the PoP parameters of the reusable single-module LV of the KORONA type, which will ensure the delivery of the PlP of a given mass. It is shown that for the universal LV used in the transportation of manned and unmanned PlP, as well as to increase the mass perfection of the design of the LV, it is advisable to produce oxidizer and fuel tanks in the form of a monoblock with combined bottoms, and place the PlP in the front of the LV. A rational scheme of PoP operation is substantiated, which provides for a single activation of a cryogenic main engine with a central body used to form a transition orbit with an apogee height equal to the height of the station's working orbit, with the development of subsequent pulses using an orbital maneuvering engine (OME) of limited power on high-boiling fuel components. It is shown that the parameters of the OME: thrust and the geometric degree of nozzle expansion should be optimized from the condition of ensuring a minimum fuel consumption in the area of pre-landing braking. A high sensitivity of the mass of the PlP derived by a single-module LV from the height of the working orbit was revealed, which is due to a significant excess of the final mass of the LV structure compared to the mass of the output PlP. This feature limits the scope of application of a single-module reusable LV to circular orbits with a height of no more than 350-400 km.

This article discusses the automatic detection and classification of unmanned aerial vehicles (UAV) and armored vehicles (BT) in the optical flow for optoelectronic systems. The algorithm is able to detect and classify objects in real time against a non-uniform background. Despite the presence of a fairly large number of methods for detecting and localizing objects in images, the solution of this problem to the full extent is still a rather laborious task, which, as a rule, requires manual labor of expert operators, which requires large time costs and may affect the efficiency of detection.

The purpose of the presented work is to increase the efficiency of detecting complex objects of interest against the background for further classification of objects. When detecting the probable location of the object, the two-dimensional wavelet transform algorithm and the DBSCAN spatial clustering algorithm were used. A convolutional neural network was trained to classify the detected object. When training a convolutional neural network, a training sample was prepared, consisting of real and simulated images of objects. The algorithm for automatic detection and classification of objects was developed in Python using the OpenCV library.

At the end of the work, the results of an experimental study of the developed algorithm are presented, on simulated and real images in the infrared range. The presented studies were performed using video image processing methods for object detection and a convolutional neural network for object classification. The proposed algorithm can be used to detect objects against an inhomogeneous background in real time by optoelectronic system in the infrared range.

It is noted that the first feature of the speed of approach of objects is that it can exceed the speed of light c, in contrast to any relative speed. We consider an inertial frame of reference with three recorders located in coordinates x₀=0, x₁, x₂. Recorder clocks are synchronized. At the moment of time t₀, the registrar located at the coordinate x₀ registers the passage of the first object, and the registrar located at the coordinate x₂ registers the passage of the second object. At the moment of time t₁, the registrar located in the coordinate x₁ registers the passage of both objects. The speeds of objects are constant. In the reference systems associated with the first and second objects, no measurements are made. To calculate the speed of approach of objects in this situation, the only way of reasoning is possible, namely: at the moment of time t₀, the distance from the first object to the second was ⁰l=x₂–x₀; at the moment of time t1this distance became equal to zero; so the approach time was ⁰τ=t₁–t₀; therefore, the speed of approach of objects is equal to the ratio of these quantities. At the Large Hadron Collider, the speed of protons approaching is almost twice the speed of light. The aim of the work is to establish other features of the speed of collinear approach of two objects. The rate of collinear approach of two objects in relativistic mechanics is an essentially ambiguous quantity The results obtained do not contradict anything, do not refute anything, and are not a paradox.

In 1846, J. Liouville indicated a class of holonomic mechanical systems for which the Hamilton — Jacobi equation can be integrated by the method of separation of variables. Mechanical systems belonging to this class are called Liouvillian systems. In the case of two degrees of freedom, it is known, that the Liouvillian system admits, in addition to the energy integral, another first integral, quadratic in generalized velocities. The presence of two first integrals for a holonomic mechanical system with two degrees of freedom allows us to assert that such a system is integrable. Moreover, it is possible to study the bifurcations of the joint levels of the first integrals. The corresponding method for Liouvillian systems with two degrees of freedom was developed by Ya. V. Tatarinov and V. M. Alekseev. To use this method, it is necessary to reduce the studied mechanical system to the Liouvillian form.

The paper considers several well-known systems of classical mechanics (the Euler — Poinsot case of the problem of the motion of a rigid body about a fixed point, the Jacobi problem of geodesics on an ellipsoid, the problem of motion of the Chaplygin sphere on the perfectly rough horizontal plane), which, by changing variables, take the form of Liouvillian systems with two degrees of freedom. Moreover, to reduce the problem of rolling motion of the Chaplygin sphere to the Liouvillian system, the theory of Chaplygin reducing multiplier is used. Previously this approach was not used in solving the Chaplygin sphere rolling problem. As a result, the study of the dynamics of the considered systems can be carried out using the methods of the theory of topological analysis with the separation of variables according to Liouville.

The article proposes a method for determining the location of such additional supports for two models of plate movement: Kirchhoff and Timoshenko. A rectangular thin pivotally supported plate of known dimensions of constant thickness, which has additional supports in area, is considered. Additional supports installed with the same pitch along the coordinate axes, forming equal segments. The harmonic concentrated force acts on a random place of the plate. It is necessary to determine the location of additional supports based on the stiffness condition: the maximum deflection does not exceed the set value. To determine the location of a set of supports, the segment size satisfying the stiffness condition is first determined. The solution soughting using the influence function, as a reaction of the system to a single impact. Since the harmonic load is representable by Euler, the problem reducing to a stationary one. Additional supports replaced by compensating loads. The influence function decomposing into double Fourier series satisfying the hinge support at the edges. Unknown reactions in the supports are determined from a system of linear algebraic equations according to Kramer’s rule. Then everything substituting into the condition of structural rigidity and this equation solving. At the end of the article, a numerical example and verification calculation giving, which show the fulfillment of the structural rigidity condition. The main advantage of the proposed methodology is the analytical form of the solution. This allows you to substitute any characteristics of the material, the geometry of the plate, as well as the magnitude of the desired load. In general, the technique is also applicable for shells using a local coordinate system that allows the shell to expand into a plate.

As of today, the commodities turnover role increase in the global economy is an objective factor. The role of aerial delivery vehicles and outwards the Earth increasing requires the quality improvement of flying vehicles, which basis is formed by the shells. The shells demonstrate indisputable advantages, namely strength, tightness and streamlining over the other options of structural schemes. In operation, these shells are being subjected to various loadings, such as wind load, varying atmospheric pressure, temperature loads, and loads of engineering systems for human life support. For this reason, light and strong structural materials are used for these shells manufacturing. One of the most commonly used materials is aluminum. It has a number of advantages such as low density at significant strength, durability, resistance to many types of impacts. Due to the limited choice of material for the aircraft production, researchers are searching for other options to improve the structures strength and reliability. For example, the study of internal mechanisms of movement or refinement of the computational model. As an example, there is the problem of the forced and natural oscillations presence in the open thin-walled cylindrical shells, which arise due to the cyclic or quasi-static external effects. Frequencies overlapping of both natural and forced vibrations may lead to unacceptable amplitudes of the structure oscillatory process, which will lead to these shells destruction. As of today, the oscillatory behavior analysis of the structure in the design of aircraft structures is not being performed due to their relatively small size, as well as the lack of appropriate techniques and analytical models. Thus, it is necessary to study various aspects of structural vibrations and, in particular, the effect of the added mass on the frequency characteristics of the oscillatory process of thin-walled cylindrical shells.

The scientific and methodological foundations for the dynamics problems solving of technological and transport facilities operating under conditions of increased vibrational dynamic loads are being developed. The purpose of the proposed research consists in developing methodological approaches for the assessment, control, formation and management of dynamic states of technical objects (machines, equipment, working bodies of vibrating technological machines), which design schemes of are being displayed in the form of mechanical oscillatory systems with several degrees of freedom.

The studies are based on employing and developing analytical apparatus of system analysis and its applications to the problems of machine dynamics, protection of equipment and devices from vibration effects, which forms the basis of approaches to ensuring safety, reliability of operation of technical means, ensuring the dynamic quality of technological machines.

The article considered the issues of the development of ideas on the generalized states of mechanical oscillatory systems formed by solids under conditions of coherent vibrational loads of a forceful nature, which dynamic state of is being determined based on the dynamic malleability of points distributed over the surface.

The authors suggest considering the so-called dynamic invariant, reflecting the essential features of the mechanical oscillating system dynamic states aggregate in the form of oriented graphs, as a generalized dynamic state. The number of its of vertices and arcs are equal to the number of resonances, frequencies of amplitudes zeroing , as well as positive and negative forms of the elements dynamic interactions.

The article shows that an infinite set of amplitude-frequency characteristics can be juxtaposed with a finite set of dynamic invariants. The general aggregate of dynamic invariants can be constructed based on the zeroing frequency functions, which can be set implicitly by zeroing the transfer function numerator, interpreted as dynamic compliance within the framework of the problem under consideration. The zeroing frequency unction juxtaposes the frequency of external force disturbances with the variation parameters of the system, on which the dynamic compliance is being zeroed, assuming that the zeroing frequency does not coincide with the natural oscillation frequency of the system.

The article demonstrates that the aggregate of dynamic states corresponding to the simultaneous variation of two system parameters may be displayed by the dynamic invariants chart, splitting the plane of two variation parameters into the finite aggregate of non-intersecting areas, boundaries and planes with potentially different dynamic variables. It shows, in particular, that infinite diversity of dynamic states of mechanical oscillations may be represented in the form of finite set of generalized dynamic states.

In this paper, the equations of spherical motion of a solid body with a rotating inhomogeneous incompressible fluid filling a completely ellipsoidal cavity are obtained and investigated. The stability of rotation of a solid with an inhomogeneous fluid having a linear density distribution is considered. The purpose of this article is to study the effect of an inhomogeneous fluid on the stability of rotation of a solid with a fluid around the axis of dynamic symmetry. In the formulation of the problem, a solid body with an ellipsoidal cavity rotates at an angular velocity around a fixed point that coincides with the geometric center of the cavity, and an inhomogeneous ideal fluid completely filling this cavity performs a homogeneous vortex motion in it with the angular velocity of the fluid. To derive the equation of motion of the system under consideration, we use the Euler-Lagrange equations, which, under the action of potential forces. To solve the problem of the stability of the system’s motion, we use the second Lyapunov method, and construct the Lyapunov function using the Chetaev method. Sufficient conditions for the stability of the rotation of a solid body with a fluid around the vertical axis of dynamic symmetry are derived. The condition is obtained in the form of inequalities of the roots of quadratic forms corresponding to the perturbed motion of a body with a fluid. The obtained equations of motion make it possible to study the stability of stationary motions of the system in question in order to assess the effect of fluid stratification on the dynamics of the body.

The issue of the origin and existence of non-deterministic, i.e. stochastic processes in various physical, biological, social and other systems is an extremely complex and interesting task. Despite the long-standing interest in them on the part of scientists, there are still discussions on whether «stochasticity» is the true antipode of «determinism», or it reflects only a certain degree of our ignorance about the system or process under study. These problems are being conjugated, in particular, with the issues on predetermination of the various systems dynamics and the Universe as a whole.

After the new branches of science emergence in the last century and, quantum mechanics, in particular, many issues related to the «stochasticity» have lost their urgency, since the concept of «uncertainty» has become fixed at the micro-level as one of the fundamental scientific concepts. However, the issue of the uncertainty «loss» while transition from micro to macro systems remains an open scientific problem.

The article raises questions on the fundamental possibility of the stochastic process emergence in the systems described by the deterministic autonomous differential equations obeying Cauchy’s theorem on existence and uniqueness, as well as questions related to the possibility of «determinization» of stochastic systems with the number of degrees of freedom increase.

The author shows that not only deterministic chaos with a structure difficult to analyze and interpret in the systems of autonomous differential equations, but true non-determinism, i.e.«stochasticity» may occur stipulated by the incompatibility of differential equations due to the finiteness of the time step. This phenomenon may occur herewith at any arbitrarily small, but finite step in time.

The author managed to demonstrate the work that that an increase in the degrees of freedom in the system under consideration leads to its «determinization». This phenomenon allows, in particular, answering the question on why stochastic systems with a large number of degrees of freedom, such as, developed turbulent fluid flows, large star clusters (such as galaxies), etc., are quite deterministic on average and demonstrate a stable dynamic state.

To solve the problem of radio communication with hypersonic aircraft, it is proposed to create a radio-transparent channel by injecting a stream of negatively charged ions into the boundary layer. The negative volume charge arising inside the channel primarily displaces lighter negatively charged particles — electrons — from it. The electron concentration decreases, which leads to a weakening of the attenuation of radio waves and radio communication is restored. The positively and negatively charged ions remaining in the channel due to their relatively large mass do not affect the passage of electromagnetic waves.

A computer simulation of the injection of a negative ion flux into a dense plasma has been carried out. In the process of solving the task, the following stages can be distinguished:

1. Finding the parameters of the background plasma near the surface of a disk with holes for ion injection in the absence of a flow of negative ions from it;
2. Finding the plasma parameters in the beam-plasma formation after the start of beam injection;
3. Finding the volt-ampere characteristics of a conductive disk with holes for ion injection.

The mathematical model of the problem at the first stage, taking into account the weak degree of ionization, splits into two independent systems of differential equations for neutral and charged particles.

The electrodynamic part of the problem, taking into account the assumptions made at the first stage, includes the continuity equations for ions and electrons and the Poisson equation for a self-consistent electric field.

The method of sequential iterations over time was used to solve the problem. In this case, the perturbed zone evolves from the initial to the final stationary state. The latter is considered as the desired solution to the problem. The continuity equations for ions and electrons were solved by the Davydov method of large particles, and the Poisson equation by spectral methods in which the desired function decomposes according to the eigenfunctions of the differential operator.

At the second stage, the emission of a stream of negatively charged ions into the space formed at stage 1 begins. The mathematical model of the second stage includes the equation of motion of negative ions, the continuity equations for all charged components and the Poisson equation for a self-consistent electric field. The continuity equations were solved by the Davydov method of large particles, the equation of motion of negative ions — by the arithmetic mean method, the Poisson equation — by spectral methods.

The evolution of ion and electron currents on the probe (stage 3) was traced to their establishment.

The distribution of potential, electron concentration and concentration of negative ions along the beam axis, the values of the current density of positive ions and electrons on the disk from which the injection occurs were investigated.

The article provides an overview of experimental methods for gas mixture registering the transition from a stable diffusion mode to a state of diffusion instability while mixing process.

Experiments on mixing process registration of gas systems by the shadowgrams method are described. This method allows observing the mixing process dynamics, determining visually the boundary of the mode change during the mass transfer process, as well as obtaining qualitative information on the spatial non-uniformities distribution and the nature of their behavior throughout the unstable mixing process. The catarometric method allows recording the mixing process dynamics, starting from the irregular fluctuations in the total concentration and ending with a steady convective process. The article provides the description of quantitative methods for determining the system thermodynamic parameters, at which diffusion instability occurs. The method for thermodynamic parameters determining with respect to the partial flows of the mixture components allows accurate computing of the stable diffusion boundary, and the method of criteria numbers application allows obtaining the value of the critical number of convective stability for a multicomponent gas mixture under isothermal conditions in the gravity field. The pros and contras of employing the methods in the article while the system parameters determining, at which transition from the diffusion region to the region of unstable diffusion occurs, are analyzed.

It is noted that experimental methods — the tenegram method and the catarometric method — allow us to observe the nature of the mixing process, while quantitative methods — the method of determining thermodynamic parameters with respect to the partial flows of the mixture components and the method of using criterion numbers — allow us to find the conditions under which it changes.

The paper considers and substantiates the options for constructing a high-speed radio communication line based on an active phased array antenna (APAA) with electronic beam scanning. The methods of beam scanning, power distribution systems and schemes for supplying power to the emitting elements of an active phased array are considered, namely, a circuit with a series supply of APAA emitters is considered, a circuit with a series supply of APAA emitters based on phase shifters is considered, a circuit of parallel supply of APAA emitters is considered, as well as a binary-level scheme of parallel power supply of emitters of an active phased array. Requirements have been produced for the key element for supplying power to APAA emitters — annular resistive power divider, a block diagram of the APAA transmitter (beamforming module) has been proposed, including an antenna array, each emitter of which is connected to the corresponding transmitter module, which are powered through power distribution devices, signals conversion path, signal generation and processing devices, control device. While working on the requirements produced, the structure of annular resistive power divider was developed, which has a standing wave ratio of the input and output voltage of no more than 1.05 in the frequency band of interest, an isolation between the output channels of the divider of at least 27 dB, and a phase non-identity of the outputs of no more than 0.2°, which meets high requirements for the accuracy and speed of electronic scanning by the APAA beam of the onboard equipment of high-speed radio links for use in radio communication systems of advanced spacecraft.

One of the key features that distinguishes future generation mobile networks (5G and 6G) from the previous generations is an increase in the number of services provided, a significant increase in data transmission speeds and a highly reliable control loop. The architecture of such networks is being built employing Software Defined Networking (SDN) and Network Functions Virtualization (NFV) technologies, as well as Network Slicing technology.

It is necessary to develop messages load balancing algorithm of the virtualized infrastructure between the control devices to ensure the high fault tolerance level of control, load balancing, network connexity of mobile network architecture of future generation mobile network by the SDN/NFV technology employing.

All SDN switches should be necessarily divided into the groups depending on their output loading so that the common loading from one group of switches does not exceed the SDN controller productive capacity for the load distribution (Packet-In messages received by the controller per second) from the virtualized infrastructure based on the SDN/NFV controllers.

This requires permanent load measuring on each of the controllers. The main challenge is the load-balancing task, i.e. the SDN switches allocation over controllers. The network topology can be plotted as a graph, where the nodes represent the SDN switches (virtualized infrastructure nodes) with the rated load about network states and the controllers with the rated data flow processing capacity, while the graph edges represent the data links.

Let us decompose the task into two subtasks; each of them herewith is being solved by a different algorithm. The first algorithm has to divide the switches into groups based on the information on the current loads and flows in the system, so that the groups can be assigned to the controllers employed in the system. The second algorithm should allocate the groups resulting from the first algorithm running to the employed controllers so that the minimum number of migrations would be required to convert the considered system. The algorithm for Packet-In messages allocating to controllers is new and has no equivalents for comparison.

The algorithm results in groups of virtualized infrastructure nodes with the total service traffic load not exceeding the maximum performance of the control loop nodes.

The article studied one of the most up-to-date problems in telecommunications associated with the burst-error channels. Thus, the model of a discrete channel in communication system under the burst-error arrays based on Gilbert model was developed. The burst error affects critically the received signal reliability under conditions of Gaussian noise and in some cases fully distorts the received signal. The purpose of the article consists in considering the main properties of the Gilbert channel and their impact on the data sequence transmitted through wireless communication channel under conditions of the additive white Gaussian noise (AWGN).

The valuation function of the main variables in Gilbert channel is the probability scheme N = ⟨P,Q,E⟩, which includes the purposive parameters being described by this model: P is a probability of a “good” channel state, Q is a probability of a “bad” state, while E stands for the probability of error in the “bad” channel state. Thus, the article proposes the adaptive generation algorithm of burst-error arrays according to the said parameters of the probability scheme.

Simulation model of the communication system by the Gilbert model and AWGN was developed. An extra block, allowing the code word  supplementing with zeroes was described for it. This backup block was introduced for the further studies with a view to additional energy gain.

One of the most important topics we touched upon is matrices interleaver and deinterleaver. In the end of the article, we adduce the simulation results with the advantage of about 3dB from this algorithm application. Besides, the burst-error correction procedure by the non-binary Reed-Solomon encoder/decoder with various schemes in the discrete communication channel is being considered.

Conclusion of the article gives the simulated method assessment with plots and comments on the bit errors probability dependence on the Es/N0, its disalignment range, as well as analysis of the matrix interleaver depth. A system communication model including the Gilbert channel in conjunction with the AWGN is proposed. This work allows assessing the effectiveness of solutions on the package error control under conditions of Gaussian noise.

In this paper, to compensate impulse noise, we consider the use of blind signal separation methods. Blind methods are based on high-order statistics and operate under multichannel reception conditions. Currently, this direction is being actively researched and implemented in medicine and image processing. A simulation model of a digital radio information transmission system was developed. The purpose of simulation modeling was to study blind signal separation algorithms to compensate for impulse noise, as well as to analyze the effect of Gaussian noise on the quality of blind separation. Blind source separation algorithms have some limitations, such as: number of received sources must be more than number of signals, which must be statistically independent between themselves. As a result of simulation modeling, it was revealed that the use of blind signal processing methods in the fight against pulsed quasi-harmonic interference makes it possible to achieve an energy gain depending on the duty cycle of the pulsed interference, the normalized interference frequency detuning relative to the bandwidth, the bit signal-to-noise ratio and the interference-signal ratio. For example, when demodulating a BPSK signal in a mixture with pulsed quasi-harmonic noise, a duty cycle of 0.005 and an interference-to-signal ratio of 15 dB, the use of the SOBI (Second-order blind identification) blind source separation algorithm makes it possible to achieve an energy gain with respect to mixture demodulation without blind separation at bit signal-to-noise ratio of 8.1 dB or more. So, for example, with the same simulation parameters, with a bit signal-to-noise ratio of 13 dB, a gain in bit error probability is achieved by more than в 2‧10³ times.

The article proposes a method for the ground objects coordinates determining from an unmanned aerial vehicle, which allows increasing the accuracy of of the ground objects location determining. The aircraft is supposed to fly in a circle with the ground object observation until the achieved value of the spatial geometric factor is less than three. The accuracy increase occurs through the observation time increase for the object being explored, and accumulation of measured by the laser rangefinder ranges to it. The unmanned aerial vehicle absolute proper coordinates are assumed known in each moment of range measuring. Estimates of the carrier absolute coordinates were obtained with the navigation equipment of the global satellite navigation systems consumers. This approach will allow determining coordinates in hard-to-reach and impassable terrain with high accuracy when solving various tasks.

The unmanned aerial vehicle is being equipped with navigation equipment of global navigation satellite systems consumers being a source of navigation information. The carrier is also equipped with a laser rangefinder on a gyro-stabilized platform, which serves to determine distances to the ground-based object of interest. The coordinates of a ground-based object are being determined by the combined application of angle-rangefinder and integral rangefinder methods for coordinates determining. At the initial stages, the ground-based object coordinates are being estimated by the angle-rangefinder method with some insufficient accuracy. Further, accumulations of measurements and refinement of the coordinates of the ground-based object are performed by the integral rangefinder method.

The article presents the studies of the flight altitude, speed of an unmanned aerial vehicle and the accuracy of navigation equipment of consumers of global navigation satellite systems impact on the achieved accuracy of the obtained estimates of the coordinates of a ground-based reconnaissance object. Practical recommendations on the unmanned aerial vehicle piloting for achieving maximum accuracy of the coordinates of the ground-based object being explored are given based on the results of the studies. The issue on the necessary monitoring duration at various flight altitudes and the fly-by radius to achieve the best accuracy of coordinates assessment was studied as well.

The article describes the order of mathematical model developing of the lidar for the collision warning system of a service vehicle on the aerodrome territory while the aircraft maintenance. Based on the considered specifics of traffic organization of the service vehicles on the aerodrome territory and engineering software pack MATLAB, a model of a fuel tanker movement while the TU-204 aircraft operation at the moment of peak service schedule congestion. The relevance of the presented model consists in the following. Transition to the new economic paradigm and digital economy is impossible without the expansion of air transportation. Increasing traffic flows require precise organization and constant control in the loading and maintenance areas. More and more machinery and engineering personnel are required. A logical solution to this problem is automation of processes, including autonomous driving functions delegating to service and transport vehicles. In modern aviation community, more and more attention is being paid to research and development of end-to-end automation processes with minimum human intervention — hyperautomation. Thus, this trend is one of the priorities of the strategy of scientific and technological development in the Russian Federation. The problems solving complexity in this area is being characterized by limited visual observation, which consists in the lack of opportunity for the crew to see the maneuvering equipment on the route of movement, and the lack of forbidden zones. Thus, this article considers the possibility of improving the traffic of service vehicles control system and aircraft on the territory of the aerodrome by placing collision avoidance equipment at the movement of service and maintenance vehicles, based on the lidar application and capabilities assessing of the method of employing sensors of incoming information on the parameters of the external environment.

Active technological development and improvement of technologies in various industries implies the use of non-linear discrete, discrete-continuous and impulse automatic control systems (ACS), the dynamics of which is described by high-order differential equations. In the modern theory of automatic control, the problem of synthesizing the parameters of the control laws of impulse systems containing elements and devices with nonlinear static and dynamic characteristics is a complex scientific and engineering problem. In this regard, in order to successfully solve this problem for the entire range of quality indicators and for the whole variety of systems from a unified mathematical and methodological position, it is necessary to develop new methods.The development of Automatic control systems (ACS) control laws is directly related to the method of approximating a nonlinear characteristic, since it is necessary to maintain the degree of adequacy of the mathematical model. Since there are no universal approaches to the issue of approximation, for each specific case, it is required to take into account the specific modes of operation of the system. As you know, the most widely used piecewise linear approximation, however, the accuracy of the result obtained with such a mathematical model is not always sufficient. The various methods of approximation are considered, including irrational, integral, and analytical ones. This article proposes to use a polynomial approximation. As a method for synthesizing nonlinear systems, it is proposed to use the generalized Galerkin method, which makes it possible to synthesize control laws for automatic control systems of different classes (continuous automatic control systems and systems with various types of signal modulation, the dynamics of which is described by both linear and nonlinear equations of an arbitrarily high order).

The silicon photovoltaic converters application for power supply systems requires a significant energy-conversion efficiency. However, solar batteries without effective control systems and automatics do not comply with the technological requirements place on them. All that significantly reduces the efficiency of the electrical energy final generation and is not able ensuring power supply to auxiliary equipment of such complex systems as space and aviation equipment, communication power systems and other high-tech complexes. The requirements for the energy supply of high-tech facilities with solar power supply systems may be increased by employing new methods for control systems of solar power generation complexes. The peak power point tracking (MPT) method is often used to increase the amount of electrical energy that can be obtained from photovoltaic panels under certain conditions, as well as to improve the performance of solar panels. The photovoltaic system efficiency lies in the maximum power transfer to the load, hence is the interest in implementing more efficient TMM methods in terms of accuracy and speed. In this context, two TMM methods are applied to the photovoltaic DC converter, namely Fuzzy Logic Control (FLC) and Perturbation and Observation (P&O). A model for the boost converter is developed in MATLAB/Simulink to test and analyze the performance of the controllers. In the presented work, two controllers were tested under different irradiation conditions from the viewpoint of response time and efficiency. The results of this work prove that both control methods allow perfect tracking of the TMM with a slight FLC advantage over classical P&O. The proposed methods for the solar generation systems control allow significant operation efficiency rising of the whole system and increasing the final electric power component. This component is necessary for the qualitative provision of high-tech objects and complex electric power systems, particularly, such as aviation and space engineering, satellite and spacecraft communication systems, as well as energy-conversion efficiency increasing at the other objects, located on the ground and employing photoelectric generation systems.

The task of navigation consists in determining the true parameters of the of the aircraft center of mass motion and allows determining such navigation parameters as the linear coordinates of the place, as well as the magnitude and direction of the flight velocity vector in the selected coordinate system. The acceleration value being obtained from the accelerometer must be integrated twice to determine the linear coordinate. The pendulum positional accelerometer is convenient to be employed for the integrating mode of its operation. It is convenient to employ in the available accelerometer the measured acceleration integrating mode rather than the measuring mode itself for obtaining the first integral of the apparent acceleration being measured. For this purpose, an integrating capacitor with signal conversion circuits and periodic reset of the accumulated voltage is usually included in the feedback circuit.

The article considers schematic solutions in the electrical circuit of the signal conversion device of a positional pendulum accelerometer for obtaining an integrating mode of its operation. The converting device circuit is based on the self-oscillating ramp generator with controlled input, which consist of two basic parts, namely integrator and Shmitt trigger. The output signal of the ramp generator is a time interval. Accelerometer connection to the ramp generator allows forming on its output a signal in the form of relative time interval change proportional to the apparent acceleration integral, i.e. the apparent velocity.

Characteristics analysis of the accelerometers applied in the state-of-the-art technology reveals that at maximum input exposure, the current value of the torque sensor takes values in the tens of milliamps, depending on the specific type of accelerometer and the measurement range. For the electronic circuit of the integrating accelerometer with ramp generator, this means that the operational amplifiers of the ramp generator, actually consume currents of tens of milliamps throughout the time to ensure the circuit operation. The article considered schematic solutions for ramp generator connecting the accelerometer, which significantly reduce the current consumed by the ramp generator while operation, namely buffer amplifier; electronic current divider, and connection via a current sensor.

A technique for schematic design of the integrating pendulum accelerometer has been developed.

A cluster is a modular multiprocessor system created on the ground of standard computing nodes connected by a high-speed communication medium. A typical cluster is a set of computers or processor cores under centralized control, which the user perceives as a single entity. The main characteristic of a computing cluster is fault tolerance. To ensure greater survivability, cluster elements must be able to move in space and be reserved. This concerns, first of all, the control element (Host) and the nodes in which the accumulated information is stored (Storage). Scientific novelty consists in the method of orbital dynamic reconfiguration of roles. This method allows distributing the cluster elements in orbits relative to the control element, which, in turn, ensures a better connection with the rest of the cluster elements. Comparison is performed by the simulation results. Modeling is carried out with the developed computer program. Parameter of the wireless computing cluster running time in an extraordinary situation (disappearance of a signal between cluster elements, change in the cluster element position, etc.) is used as the comparison parameter.

The article considers an algorithmic model for initializing a wireless computing cluster with dynamic reconfiguration of roles by the orbital method, which significantly increases the fault tolerance of the cluster. The authors performed the analysis and comparison of the results of the described algorithm operation with existing ones. The results of the analysis revealed that dynamic reconfiguration of roles allows increasing the fault tolerance of a wireless computing cluster due to the fact that any of the elements are able to act as the ICD control element.

The problem of low depth of search for the place of failure by modern on-board automated control systems of aviation equipment, which negatively affects the intensity of recovery and combat readiness, is considered. The emerging need for operational diagnostics of the technical condition of information-converting aviation systems is a consequence of the increasing binding of a large number of systems to digital support and control, and the relegation of analog systems of modern avionics to the background. The need to diagnose the technical condition in real time, as well as the possibility of diagnosing systems on the ground, as well as during flights to perform special tasks, is an urgent problem, existing and proven practice, as well as data from enterprises that operate aviation equipment .The paper studies a model of an intelligent diagnostic system of information-converting aviation systems of integrated avionics, operating under external disturbances, with an assessment of the quality of adaptation of an artificial neural network to limiting external disturbances, in order to solve the problem of improving the efficiency of technical diagnostics by the criterion of minimizing the time of diagnosis and increasing the probability of timely departure of an aircraft to perform special tasks. The stability of the functioning of the model of an intelligent diagnostic system to external disturbing influences is substantiated by simulating the above process in the Simulink package of the MATLAB programming environment. The paper outlines the basic principles of the approach to building an intelligent diagnostic system for information-converting aviation systems of integrated modular avionics on-board equipment using artificial neural networks. Solving the problem of creating a model of an intelligent diagnostic system will make it possible to achieve the goal of moving to the creation of new diagnostic principles incorporated into modern on-board automated control tools.

The study is aimed at the efficiency improving of the processes of creating aerospace technology and educational activities with digital VR/AR technologies in the aerospace industry. For this purpose, a review of applied examples of the VR/AR employing was performed according to the scheme: process, object, stage of the object’s life cycle, scale of the environment and object, goals, tasks, methods, technologies, software and hardware, and their critical analysis. Analysis of the results revealed that the predominant area of the VR/AR application in the aerospace industry was the ground-based work-out of the assembling and mounting process of the bulky objects, as well as their operation under space conditions on the macro-level. The article demonstrates herewith that in virtual or augmented space the operator performs directly the role of the object human operator. It shows as well that processes working-out and studying at the macro-level, such as while the structural-technological design of products, acquire less spread, and they are the area where VR/AR are not employed to the full extent and possess substantial potential. The authors demonstrate that in this case operator in both virtual and augmented space should be an active observer and/or be a part of the structure or operation media. To realize this, the authors propose employing methods and techniques of the theory of inventive problem solving as the methodological foundation, and existing numerical modeling tools for physico-chemical processes with their appropriate adaptation as the instrumental support. With regard to the educational activities, it was revealed that the main obstacle to the VR/AR implementation was the necessity for the costly infrastructure, namely laboratories and equipment. The authors suggested methodological recommendations and their software and hardware support, offering an opportunity for the AR/VR realization in the independent self-sufficient research work of the student employing the means of individual use.

In developing complex technical systems together with their life cycle follow-up, the required reliability level provision is necessary. This requires developing new approaches associating reliability indicators of complex technical systems (CTS) with the checking system indicators. The article considers the possibility of accounting for the uncertainty of knowledge of the probabilistic data parameters, employed for the decisions substantiation.

The proposed approach and models are based on the basic concepts and ratios of the theory of reliability and technical systems control. The methodological approach is based on the well-known and tested apparatus of the Bayesian approach

A methodical approach, which associates the probability of reliable operation of the complex technical system elements and reliability of complex technical system checking was developed. Analysis of the results allows making conclusion on the degree of the checking process characteristics effect on probability of fault-free operation of the complex technical system.

The proposed d methodological approach may be employed at the CTS design stage, and it provides an opportunity for operating organization information obtaining on the CTS fault-free operation probability when receiving information on the CTS blocks is received, which allows making operative decision on the CTS condition.

The obtained result may be of practical interested for military representatives, state certification authorities, industry representatives and may be employed while formation and justification of reliability requirements in tactical and technical tasks to develop (update) complex technical system. It may be employed as well for accounting for control process characteristics impact on the probability of the fault-free operation of the complex technical system at all stages of its life cycle.

Cabins of modern types of weapons and military engineering are equipped with multifunctional indicators (MFI). Training personnel to work with the MFI is necessary; however employing costly complex simulators for this purpose leads ineffective exhaustion of their resources. Working with the MFI allows laying the route of movement, entering coordinates of targets, landmarks and radio-beacons, The MFI employing allows the crew to solve the tasks of navigation and combat employment. With this regard, more attention should be paid to learning how to work with the MFI while mastering modern types of aircraft.

The best way of learning is application of real equipment or a complex simulator of the air force cabin, however, this may lead to inefficient exhaustion of their resource. There is a generally accepted practice of employing units, devices and systems dismantled from decommissioned samples of military equipment in training sessions. However, the MFI removed from the military equipment cannot be employed without special equipment (power supplies, computers, sources and signal converters). Thus, it is advisable to use MFI simulators, in which the functions necessary for the training goals achieving, for the studies instead of real MFI. They may be employed at both theoretical stage of the studies and practical training. Besides, the MFI simulators may be employed in the beginning of the simulator training to work-out check-ups and data entering, to relieve partially the costly complex simulator from these tasks.

The article considers the issue of the MFI simulator application expediency while cadet-pilots training for the DA-42T aircraft.

The IBM 4820 monitor, the closest in size to the real MFI of the DA-42T aircraft, is selected as the basis of the developed MFI simulator. The SimInTech program, designed for technical systems modeling, was chosen as the software for the of information frames reproduction and development on the MFI. The full-scale mockup of the DA-42T aircraft cabin was developed with the developed MFI simulators.

Application of the MFI simulator and cabin layouts on their basis in training sessions ensures the achievement of various training tasks, which can be effectively employed in the training of personnel. The MFI simulator and cabin layouts employing saves on the one hand the resource of the expensive equipment, and on the other hand, represents the only opportunity for visual training due to the lack of complex simulators or real samples of military equipment in the training base.

The obtained results of the work may be employed further for the development of the MFI imitators for various types of military equipment.

The article deals with the problem of space debris removal from the near-Earth orbits. The motion of mechanical system, consisting of a spacecraft and an object of space debris sphere, is under study. Active spacecraft is a material point, while space debris is of a spherical shape moves moves on a circular orbit. In the first case, the contactless transportation of space debris is being realized by the laser, and in the second case, an electrojet engine jet is used. It is assumed that in the process of the ion transportation, the entire ion beam hits the surface of the sphere, and a simplified auto-similar model of plasma propagation is used to describe the far region of the electrojet engine plume. In the case transportation by laser, the laser beam control system ensures a point selection on the sphere, for which the normal is directed along the local horizon. The purpose of the study consists in comparing these transportation methods effectiveness in terms of the fuel rate of the active spacecraft. For this purpose, mathematical model of the mechanical system is being developed, and numerical simulation of the descent is performed. The numerical modeling results revealed that the laser ablation method appeared more effective compared to the ion transportation. It is associated with the fact that the force generated by the laser ablation effect appears greater than that generated by the ion beam. Besides, the engine generating the ion beam creates thrust, which should be compensated by the oppositely directed engine. It is supposed in the development of this work to account for the effect of aerodynamic drag forces acting of the active spacecraft and a space debris object, as well as studying special motion of the system and developing control law for the active spacecraft to sustain the required position out of the orbit plane.

There are a lot of researches related to parachute landing dynamics and almost all of them consider the system of parachute-cargo (SPC) that works on its flight regimes, before it contacts the landing area. There are a few researches that consider the task of SPC landing, where a pneumatic actuator is used instead of the cargo. Nevertheless these researches are focused on the behavior of canopy. In case of cargo with dampers landing researches dropped cargo regime is considered. This is a commonly used practice to consider this regime on design phase of a cargo damper system. This article considers a parachute landing process for the cargo with dampers on the phase of its contact with the landing area. The aim of this research is to compare these two regimes of landing — with and without parachute influence to the landing process — to define the load cases for damper system (air fiber dampers are considered). This work considers only a vertical parachute landing process.

Mathematical model (MM) of the parachute landing process consists of differential equations of motion for two separate objects — the cargo and the canopy. The canopy is symmetrical. Air dampers are attached to the cargo. Both objects are considered as absolutely rigid. Straps are modeled as a function of distance between the corresponding points on the cargo and on the canopy. Parachute straps are elastic. Euler’s ratios are used to transform the angular velocities to the angles.

Here the two tasks are considered: 1 — the drop case is presented to show that MM gives reliable results for the considered structure of the cargo and the system of air dampers; 2 — parachute landing. Comparison of the calculation results and experimental data shows their good correlation.

Analysis shows that the parachute system has an essential influence on landing process dynamics of the cargo with dampers. This influence has to be taken into account in the case of damper’s design phase, analysis of cargo drop tests. It recommends to use this MM for statistical mathematical modelling of the parachute landing process in the task of reliability index evaluating.

It is noted that the most difficult stage in the operation of an airfield tractor with massive towed objects is the starting mode. This is due to the need to overcome the static friction force, which significantly exceeds the motion friction force. As a solution to this problem, we can consider the use of the initial kinetic energy of the tractor, which can develop when using limited elastically deformable traction coupling devices. To optimize the mathematical model, the following assumptions are made: traction force F on the hook of the tractor is a constant value; the inertial masses of the tractor and towed objects are the same and equal m. To evaluate the effectiveness of the use of elastically deformable traction coupling devices, the obtained results are compared with similar results corresponding to an absolutely rigid traction coupling device. The use of elastically deformable traction coupling devices makes it possible to accumulate the initial kinetic energy of an airfield tractor, which makes it possible to overcome the static friction force and ensure the starting of heavy towed objects. Comparison of the kinematic and dynamic parameters of the tractor with towed objects for options with absolutely rigid and resiliently deformable traction coupling devices shows that the efficiency of using the latter increases with an increase in the number of towed objects. Elastically deformable towing devices can cause oscillations of the tractor-towed objects system. To prevent them, the towing devices must be hard blocked at the moment they reach the greatest deformation.

To ensure a reliable exit of the vehicle along the ladders to the surface of the planets and their satellites, it is necessary to account for the effect of a large number of various factors, such as:

• the angular position of the landing vehicle;
• the coefficients of adhesion between the wheels of the chassis and the working surface of the ladders;
• the vehicle landing on the loose soil,
• the presence of stones in the landing area,
• ensuring guaranteed clearances between the planetary rover and structural elements landing unit and other structural factors.

The undercarriage of the planetoid, as a rule, consists of six or eight driving wheels and an elastic suspension. An electromechanical drive is installed in the hub of each wheel, ensuring thereby high cross-country ability and high reliability.

One of the main problems consists in the reliable exit ensuring along the ladders to the surface of the planet (satellite). For this purpose, experimental selection of materials being installed on ladders that ensure a reliable grip without slipping with the wheels of the planetoid is necessary.

To confirm the lunar rover guaranteed exit, The model allowed reproducing angular position of the landing unit supports, ladders and slope. A decision was taken on what shock absorbers should be «shot-off» to reduce clearance and thereby align the position of the vehicle on the landing surface. After that, the ladders, along which the lunar rover successfully moved to the Moon surface the were opened. Thus, when designing a landing unit for a spacecraft with a planet rover, it is necessary to envisage pyrotechnics in the design of shock absorbers that can be employed to improve the planet rover exiting conditions along the ramps. Shock absorbers with pyro nodes may also be employed in case of the ground-intake device and other mechanisms presence onboard the vehicle.

Tests on the material selection and the determination of the coefficient of adhesion were conducted with the technological wheel of the planetoid and fragments of ladders, on the working surface of which different materials were placed. With this purpose, testing programs and methods were developed, and a test bench, which ensured computed loadings and temperatures, was fabricated.

To analyze the planetoid descent along the ladders on the loose soil, the ladder was tested at its interaction with loose soil. During the tests, the ladder and rested on the soil-analogue placed in a container. The top layer of the soil represented a loose finely dispersed soil, which is being characterized by low adhesion and rather high internal friction with low load-bearing capacity and high compressibility.

If the vehicle lands on rock outcrops or there is a hard surface, such as a stone, under the end of the ladder, then the ladder lateral movement will be much greater than this in the case of a loose soil. With the landing stage roll and heavy loads on one side, the movement of the ladder ends may be significant and the vehicle might leave the track, which will lead to an accident.

As the result of the analysis of the planet rover exit along the ladders, the gaps between the wheel of the planetoid chassis and the structural elements of the landing unit were determined for the case of the landing platform roll in a plane perpendicular to the installation of the ladders at an angle of 20°.

The tolerances for the installation of ladders on the platform, backlash in the nodes of rotation of the ladder links, as well as the rigidity characteristics of the ladder (power beam and railing) were accounted for herewith.

The article presents the results of the full-scale experimental studies of the various factors impact on the of a planet rover exit on the surface of planets and their satellites. As the result of the tests, the coupling coefficients were determined at different temperatures and loads between the fragments of the ladder layout made of various materials and the wheel.

The article considers typical characteristics of the touchdown surface, such as slope, the soil bearing capacity and the presence of stones, and proposes the ladder working surface materials ensuring calculated coefficients of adhesion to the planet rover wheel. The technique for conducting tests on determining the coefficient of adhesion of the planet rover wheel is presented.

Recommendations with regard to the structural design of the landing gear shock absorbers and the ladders fixing in the working position have been elaborated.

The article studies fibrous composites, particularly, analyzes their effective damping properties, natural frequencies and loss coefficients. Both effective dissipative and wave properties are being defined by the presence of a viscoelastic layer laid between the elastic fiber of high rigidity and a less rigid matrix. Analytical evaluations employing linear visoelastic analogy method are being presented. The author revealed that the three phases method was more preferable than the Race method for determining parameters with high accuracy. Whiskerized systems, grown on the fiber surface and submerged into the viscoelastic layer, were proposed for use to enhance dissipative properties and retain mechanical ones. The author conducted studies on oscillations damping of the stratified composite hinged beam. The viscoelastic interlayer is being inserted into the composite beam to enhance its damping properties. Resonant frequency and modal losses coefficient of the beam are being evaluated by the Bernoulli-Euler beam model and Timoshenko model. It is noted that in case of transversely oriented fibers both models, i.e. the Bernoulli-Euler beam model and Timoshenko model, account for the shear deformations.

The article studies fibrous composites, particularly, analyzes their effective damping properties, natural frequencies and loss coefficients. Both effective dissipative and wave properties are being defined by the presence of a viscoelastic layer laid between the elastic fiber of high rigidity and a less rigid matrix. Analytical evaluations employing linear visoelastic analogy method are being presented. The author revealed that the three phases method was more preferable than the Race method for determining parameters with high accuracy. Whiskerized systems, grown on the fiber surface and submerged into the viscoelastic layer, were proposed for use to enhance dissipative properties and retain mechanical ones. The author conducted studies on oscillations damping of the stratified composite hinged beam. The viscoelastic interlayer is being inserted into the composite beam to enhance its damping properties. Resonant frequency and modal losses coefficient of the beam are being evaluated by the Bernoulli-Euler beam model and Timoshenko model. It is noted that in case of transversely oriented fibers both models, i.e. the Bernoulli-Euler beam model and Timoshenko model, account for the shear deformations.

For propulsion systems of space craft multiple burns engine, the condition for normal operation is the supply of liquid propellant components to the consumable lines without disturbing the continuity of the flow. The article discusses the method of conducting control tests of the phase separator of the capillary-type in-tank device at the stage of full readiness of the fuel tank. One of the most important stages in the creation of fuel tanks is their ground experimental testing, carried out under conditions close to operating conditions.

The main purpose of such tests is to confirm the compliance of the technical characteristics of the tank with the required values specified in the technical specification for its development. As a criterion for assessing the quality of the phase separator, the efficiency coefficient was chosen, which is the ratio of the capillary holding capacity of the mesh field of the phase separator material to the hydraulic resistance of the phase separator to the flow of liquid passing through it and containing gas inclusions.

The methodology given in the article for determining the operability of a capillary phase separation device at the stage of control tests of a finished fuel tank makes it possible to guarantee the required performance indicators of an in-tank capillary device at the stage of factory ground tests, which improves the quality of finished products. The result of this work is a decision on the compliance of the tested prototype tank with the specified requirements and the possibility of its full-scale operation as part of the propulsion system of the spacecraft.

The article considers the result of the modernization of strain gauges installed in the working part of the supersonic wind tunnel (AT) ST-3, which allows to increase the range of experimental studies on the angle of attack of the model under study from 0 to 20 degrees. Numerical studies of the flow of the model in the working part of the pipe have been carried out in order to verify that the model is located inside the rhombus of an undisturbed flow.

The supersonic AT ST-3 is widely used to create gas flows of specified parameters for the experimental study of the flow around models of aircraft elements in the range of Mach numbers from 1.5 to 4.2. To increase the range of experimental possibilities, the authors proposed to increase the range of angles of attack of the model under study, taking into account its finding inside the rhombus of a uniform part of the flow.

The supersonic AT ST-3 makes it possible to determine the aerodynamic forces acting on the model under study at angles of attack in the range from — 10° to +10°, which limits the field of study. The range of angles of attack is determined by the boundary of the rhombus of the uniform part of the flow in the working part of the pipe.

To ensure the adequacy of the simulation, the conditions of adhesion and isothermicity were used on the surface of the body and the walls of the working part of the pipe. According to the values of pressure (p₀=14 kgf /cm²) and temperature (T₀=283K) of the gas in the receiver, the flow parameters in the working part of the pipe were calculated (M_∞=4.2; p_∞=6467 Pa; T_∞=61.8 K; a_∞=8 m/s), and also determined the arrangement of the rhombus of the uniform part of the flow.

For the calculations, the Navier-Stokes equations were used, which are closed by the turbulence equations k-ω SST. The calculation scheme is shown in Figure 5. A sphere with a radius of R = 20 mm was chosen as the model.

Modeling was carried out using a structured prismatic finite element grid of 1032 thousand elements (26 elements accounted for the thickness of the boundary layer (parameter y+=0.3)).

Modernization of the fastening system of strain gauges located in the path of the supersonic AT ST-3, taking into account the requirements of permissible «cluttering» of the working part of the pipe, will allow experimental studies to determine the aerodynamic forces acting on the model at angles of attack up to 20°, which is of interest when conducting studies of the aerodynamic spectrum.

The article considers the result of the modernization of strain gauges installed in the working part of the supersonic wind tunnel (AT) ST-3, which allows to increase the range of experimental studies on the angle of attack of the model under study from 0 to 20 degrees. Numerical studies of the flow of the model in the working part of the pipe have been carried out in order to verify that the model is located inside the rhombus of an undisturbed flow.

The supersonic AT ST-3 is widely used to create gas flows of specified parameters for the experimental study of the flow around models of aircraft elements in the range of Mach numbers from 1.5 to 4.2. To increase the range of experimental possibilities, the authors proposed to increase the range of angles of attack of the model under study, taking into account its finding inside the rhombus of a uniform part of the flow.

The supersonic AT ST-3 makes it possible to determine the aerodynamic forces acting on the model under study at angles of attack in the range from — 10° to +10°, which limits the field of study. The range of angles of attack is determined by the boundary of the rhombus of the uniform part of the flow in the working part of the pipe.

To ensure the adequacy of the simulation, the conditions of adhesion and isothermicity were used on the surface of the body and the walls of the working part of the pipe. According to the values of pressure (p₀=14 kgf /cm²) and temperature (T₀=283K) of the gas in the receiver, the flow parameters in the working part of the pipe were calculated (M_∞=4.2; p_∞=6467 Pa; T_∞=61.8 K; a_∞=8 m/s), and also determined the arrangement of the rhombus of the uniform part of the flow.

For the calculations, the Navier-Stokes equations were used, which are closed by the turbulence equations k-ω SST. The calculation scheme is shown in Figure 5. A sphere with a radius of R = 20 mm was chosen as the model.

Modeling was carried out using a structured prismatic finite element grid of 1032 thousand elements (26 elements accounted for the thickness of the boundary layer (parameter y+=0.3)).

Modernization of the fastening system of strain gauges located in the path of the supersonic AT ST-3, taking into account the requirements of permissible «cluttering» of the working part of the pipe, will allow experimental studies to determine the aerodynamic forces acting on the model at angles of attack up to 20°, which is of interest when conducting studies of the aerodynamic spectrum.

The paper proposes mathematical model of radio channel of the communication and data relay satellite system (CDRSS) in case of multi-position signal transmission by several spatially separated radio-electronic equipments. Based on the proposed mathematical model, computer model has been developed for estimating the noise immunity of signal reception under given technical limitations. The computer model under consideration makes it possible to calculate with high accuracy the values of the energy characteristics of radio-electronic equipments, such as the average radiated power of the equipments; transmitting (receiving) antenna gain; effective isotropically radiated power; ratio of signal bit energy to noise power spectral density; the ratio of the total signal power to the noise power at the input of the receiving device, at which the required noise immunity of the CDRSS facilities is ensured.

A quantitative measure of radio-electronic equipments noise immunity is the probability of a bit error. To calculate the probability of a bit error, an algorithm for estimating the noise immunity of signal reception has been developed, which, unlike the existing ones, allows calculating the probability of a bit error for radio-electronic equipments space-separated emitting pairwise correlated signals in the direction of the receiving antenna of the satellite CDRSS.

The proposed algorithm allows you to calculate:

• spatial and temporal characteristics of radio visibility zones of transmitting radio-electronic and receiving equipments of CDRSS;
• energy characteristics of radio links;
• bit error probability.

The article gives an example of calculating bit error probability during multi-position signal transmission in the direction of the receiving antenna of satellite CDRSS, oriented towards the orbital electronic equipments. The simulation results testify to the correctness of the approach and make it possible to carry out systematic studies of the dependence of the energy characteristics of the receiving equipments of the CDRSS on the number of low-power transmitting equipments emitting pairwise correlated signals.

The proposed computer model can be used:

• to substantiate the tactical and technical requirements for a promising CDRSS;
• to assess the effectiveness of the functioning of the CDRSS in a complex electromagnetic environment;
• to justify the directions of modernization of the CDRSS.

This article proposes the construction of a tandem of spacecraft consisting of an autonomous satellite with a large area of solar phototransformers and an autonomous satellite for transmitting the received energy to small spacecraft using laser radiation. This tandem is connected by a contactless magnetic resonance method of energy transfer.

To provide the cluster with energy, it is planned to develop a modular, i.e. not mechanically integrated into a single whole, satellite complex — a tandem with a contactless power transmission line. The tandem should consist of spacecraft moving in close orbits interacting with each other via wireless communication and energy transmission lines. The main task of this tandem is to supply energy to a cluster of small spacecraft performing target tasks.

Then conceptually such a complex will have the following structure:

1. A photodetector satellite with a large transformable design of phototransformers deployed in space, including an energy storage system and a magnetoresonance contactless energy transmission system to a satellite emitter.
2. One or more satellite emitters including fiber lasers for transmitting energy to a cluster of small spacecraft in the region of up to 2 microns, as well as several ports of a magnetic resonance energy reception system.

Although at first glance the integral execution of the photodetector-emitter system suggests itself, in practice this is a non-trivial task. Such a large-sized design, which will experience serious temperature changes and at the same time have high requirements for targeting the receivers of the cluster spacecraft, will require a complex stabilization and guidance system. The advantage of fragmentary tandem construction is the absence of such serious requirements and the ability to increase the coverage angle with laser or microwave radiation for cluster satellites. It is also possible to use several satellite emitters for greater coverage of consumers from a cluster of small spacecraft.

Currently, in telecommunications, there are problems of inefficient use of spectrum [3], the inability to flexibly control hardware devices, which have led to an increasing interest in software-controlled radio (SDR), which has proven itself as a reliable system for thorough analysis of radio frequency signals with the possibility of flexible control and modification [4].

One of the prominent representatives of SDR is the high-precision and inexpensive USRP 2901 model from the 29xx series from National Instruments, capable of solving the problems of prototyping radio systems, radio reconnaissance, direction finding, creating local positioning systems, developing coherent multi-channel transceiver systems and solving other important problems in the aerospace sphere.

This work is devoted to the development and testing of the method of verification of USRP 29xx series devices for high-precision experimental studies for solving problems of a wide range in the field of information communications using the Omega radio complex. The subject of the study is the evaluation of the effectiveness of using SDR on the NI platform.

To obtain the data closest to the true ones, to exclude the maximum number of different types of errors, the work analyzed in detail the plan and stages of experiments, in particular, the planning of experiments at the tactical level, the description of which is indicated in the publications [18, 19]. The calculation of the required sample ensures the required probability and reliability of the results [20]. However, there is no information in the technical documentation for USRP devices that they can be used for high-precision research. After planning the experiments, a method for verifying devices was developed, which included specific 6 stages of experiments that evaluate physical values that characterize the accuracy and quality of USRP equipment.

The following results were obtained as a result of testing this method:

1. The frequency error of the transmitted signal is determined and recommendations for setting the frequency shift function of the generator are proposed.
2. A decrease in the average signal power in the middle of the Wi-Fi band (2.4 GHz) was recorded. Hence, weak signals will be less efficient to transmit over a given range.
3. Linear and uniform amplification of the radio signal was noted, regardless of the selected frequency, when the gain deviates not more than 5 dB from the average value, which is much better than, for example, the RTL-SDR amplifier.
4. It is advisable to use an amplifier on Wi-Fi radio channels only up to 54 dB, then it is irrational.
5. Connecting a power supply to USRP does not significantly affect the shape of the spectrum unless both channels of the USRP device are used.

This article regards the issue of cyber-security of the information management system of the aerospace system (IMS). Database is the basic IMS component. The SQL server was employed as the database system. Monitoring execution is necessary for the Database information processes performance and security support. The article describes the development of the remote monitoring effective method. This method solves two basic problems, namely information transmission security in the open environment, and effective assessment of the information environment state.

Analysis revealed that effective remote monitoring ensuring requires tool selection. The selected tool should wield enhanced security and employ SQL language for the Database performance evaluation. The tool tackled with in this article ensures information encoding in the open transmission environment. It acts as an administrative panel as well.

After the tool selection, the SQL language objects analysis was performed.

Selection criteria of the necessary objects are as follows: the provided information completeness, request preparation complexity, and the internal functionality enhancing capability. Analysis revealed that storable system procedures are the most informative.

The next stage of development consisted in the stored procedures selection according to the «integral informativity» criterion. The sp_whoisactive stored procedure is of specially great capabilities. However, it has been found that these procedures were redundant. That is why optimized requests for the remote monitoring effectiveness improving were developed. The optimized requests reduce the status information volume, ensuring security, and provide herewith the remote monitoring completeness.

Aviation complexes of communication facilities are subject to stringent requirements in terms of weight and size indicators and energy consumption. Along with this, to ensure high-speed data transmission between a ground control station (GCS) and an unmanned aerial vehicle (UAV) over long distances (up to 300 km), it is required to provide high energy in the radio channel. This paper discusses the main negative factors of aviation radio channels that reduce the efficiency of the radio system of information transmission, which can be eliminated as a result of the use of signal-code structures based on the use of signals with orthogonal frequency division multiplexing (OFDM). Such negative factors include the presence of fading of the radio signal at the input of the receiver of the radio system and the possible impact on the operation of the radio system of interference. Discusses the main characteristics and advantages of signals with OFDM over classical single-frequency signals (for example, with binary phase shift keying — BPSK) are considered, as well as basic engineering and technical calculations are presented confirming the validity of the use of these signal-code structures in aviation radio systems for information transmission, as one of solutions for combating fading caused by multipath signal propagation, and as a result, with inter-symbol interference (ISI), which manifests itself in the superposition of re-reflected signals on the direct (main) signal. Discusses the methods for ensuring the noise immunity and secrecy of a radio system with OFDM based on the use of broadband pseudo-noise signals (PNS) together with OFDM signals are considered. For example, M-sequences or Gold’s sequences, which are widely used in radio systems for various purposes, can be used as PNS. To combat narrow-band interference, signal jamming protection can be used, which is reduced to a significant increase in the band occupied by the OFDM signal. Band increases as a result of superposition of the PNS signal with base B ≫ 1 on each subcarrier of the OFDM. The simplest method for reducing the interference power in the receiving part is the narrowband interference decorrelation method, which reduces the interference power to the base B times as a result of multiplying the interference signal with the reference PNS in the demodulator PNS. As a result of multiplication, the interference is converted into a signal with a uniform power spectral density in the interference band, similar to the effect of white noise.

In many application domains, group control problems arise under counteracting conditions. Examples are interaction processes of systems with conflicting and sometimes antagonistic target functions, such as a spatially distributed monitoring system (SDMS) and mobile airborne objects (MAO) penetrating into the system’s area of responsibility.

However, in practice the resource of the SDMS, which determines the space review capabilities, can be limited, including due to low efficiency of ground-based radio information sensors (RIS) in detecting moving air objects at low altitudes. The specified problem can be solved by inclusion into the SDMS of mobile airborne RIS and joint application of airborne and ground-based RIS under unified control.

Thus one of the most important tasks is the fullest realization of information possibilities of all RIS for the purpose of the maximum coverage of their working zones of airspace. The solution of this problem is possible at the expense of estimation of composition and forecasting of ways of actions and tactics of application of MAO with the purpose of definition of rational structure of heterogeneous grouping of RIS of SDMS.

In the article a new methodical approach to the choice of rational composition of heterogeneous grouping of RIS of SDMS is proposed. In a basis of the offered decision methods of the theory of dynamic graphs and methods of vector discrete optimization are put. Features of formation of variants of structure of grouping of RIS are considered. An algorithm is offered, allowing on the basis of the minimum set of attributes of the adversary to choose a rational composition of heterogeneous grouping of RIS in accordance with the hierarchy of links «attributes of the of the opposing side’s activity — stages of preparation for use of MAO — variants of use of MAO».

The presented article proposes a method for the errors operational evaluation in the alignment of radar and optoelectronic stations applied in navigation and weapon-aiming aircraft complexes. Its actuality is associated with the fact that the alignment accuracy of the location systems determines potential effectiveness of the aviation complexes, since the alignment errors cause the need to increase the location systems fields of vision and, as the result, lead to the aircraft in the potential efficiency decrease. These errors minimization will allow narrowing their fields of vision, while preserving radars search capabilities, and enhancing detecting capability and spatial resolution of optoelectronic systems by the integral background illumination reduction. As the result, both detection range and the probability of objects recognizing will be enhanced. The currently developed methods for the alignment errors evaluating do not allow performing operational correction of the of directional patterns relative position of the onboard location systems of navigation and weapon-aiming complexes in real operating conditions, which requires new evaluation methods development. Natural requirements for these methods are the possibility of obtaining evaluations in real time or close to it, as well as the possibility of employing these evaluations for correcting relative location of the radars fields of view. Evaluation methods developed as of today do not meet these requirements, which stresses the relevance of the problem being solved. The problem of errors evaluation in the alignment of the onboard location systems is set and solved as a filtration problem, since in general case the object of the study is non-stationary. The authors developed an algorithm for mathematical formalization of the alignment errors behavior during the flight of an aircraft, allowing performing correction of the directional diagrams position of location systems in real time based on the values of their evaluation. Model experiments were conducted to confirm correctness of the developed solutions.

The presented article proposes a method for the errors operational evaluation in the alignment of radar and optoelectronic stations applied in navigation and weapon-aiming aircraft complexes. Its actuality is associated with the fact that the alignment accuracy of the location systems determines potential effectiveness of the aviation complexes, since the alignment errors cause the need to increase the location systems fields of vision and, as the result, lead to the aircraft in the potential efficiency decrease. These errors minimization will allow narrowing their fields of vision, while preserving radars search capabilities, and enhancing detecting capability and spatial resolution of optoelectronic systems by the integral background illumination reduction. As the result, both detection range and the probability of objects recognizing will be enhanced. The currently developed methods for the alignment errors evaluating do not allow performing operational correction of the of directional patterns relative position of the onboard location systems of navigation and weapon-aiming complexes in real operating conditions, which requires new evaluation methods development. Natural requirements for these methods are the possibility of obtaining evaluations in real time or close to it, as well as the possibility of employing these evaluations for correcting relative location of the radars fields of view. Evaluation methods developed as of today do not meet these requirements, which stresses the relevance of the problem being solved. The problem of errors evaluation in the alignment of the onboard location systems is set and solved as a filtration problem, since in general case the object of the study is non-stationary. The authors developed an algorithm for mathematical formalization of the alignment errors behavior during the flight of an aircraft, allowing performing correction of the directional diagrams position of location systems in real time based on the values of their evaluation. Model experiments were conducted to confirm correctness of the developed solutions.

Functions and application areas extension of helicopters determines the demand and relevance of the new algorithms developing for the state coordinates estimating in the air-based pulse-Doppler radar station, ensuring stable surveillance, which in its turn will positively reflect on the flight safety. Helicopter is a complex object under observation in terms of radar. Analysis of the existing algorithms for the state coordinates estimating revealed insufficient efficiency in a helicopter detecting and tracking at various kind of flying. Thus, there is an objective need to develop new estimation algorithms that account for the helicopter flight characteristics and ensure its stable observation. The authors propose employing mathematical apparatus on the optimal linear filtering theory as an approach to optimal algorithms obtaining for the helicopter state coordinates estimation. The purpose of the study consists in synthesizing an algorithm optimal by the root mean square error minimum for coordinates estimation of the helicopter absolute and relative motion in the onboard radar station at various kinds of its flight, including the hovering mode, based on the mathematical apparatus on the optimal linear filtering theory. As the result, the article presents the analysis of effectiveness of the said synthesized algorithm application. The specificity consists in two components application, namely estimation of Doppler frequency, stipulated by signal reflection from the fuselage, and Doppler frequency stipulated by the signal reflection from the rotating helicopter blades. The results of the study may be employed while the existing radar stations upgrading, or developing prospective ones based on the pulse-Doppler principle of signals processing.

A critical issue in the spacecraft navigation consists in precise determination of the spacecraft position in space. The spacecraft navigation parameters measuring in the near-Earth space may be realized employing both onboard and ground-based measurement facilities, which include radio-technical and optical systems. In the low-orbit region with orbits altitude less than 5000 km radar measurement means are being employed as a rule. At the altitudes above 5000 km, a spacecraft is out of the radar stations visibility zone. In case absence of the onboard radio-technical means as a part of the spacecraft, ensuring current navigation parameters measuring, photometrical surveillance becomes the only susceptible possibility for the spacecraft monitoring and its technical state evaluation. Optical measuring instruments are capable of ensuring higher accuracy than with the radio band application. However, optical means of observation have a number of disadvantages, which significantly limit their capabilities. Such disadvantages are as follows: their dependence on the time of day, illumination of the spacecraft, and weather conditions. Besides, a small-sized spacecraft has utterly low visible brightness, which aggravates their observation by optical means. These shortcomings can be partially overcome by installing optical laser beacons onboard the near-Earth spacecraft, which will allow ensuring operational monitoring of their condition (both orbital and rotation parameters, including the case of communication deficiency with them) by the ground-based optical means

Ground-based optical observation stations of the Space Monitoring System perform monitoring of all objects located in the near-Earth space to maintain a catalog of orbital parameters for subsequent prediction of their position. Obtaining long photometric series for the tasks of the Space Monitoring System is possible, but only by suspending the main tasks execution. Besides its own standard optical ground-based observation facilities, the Space Monitoring System extensively employs of the observations results obtained at optical observation stations of scientific organizations, particularly, the Pulkovo Cooperation of Optical Observers (PulCON), the Russian Academy of Sciences (INASAN, SibIZMIR), the Roscosmos Research Institute and university observatories. All these optical observation stations are equipped with modern telescopes and photodetectors that will allow for confident registration of radiation from laser beacons installed onboard the near-Earth spacecraft, thereby increasing the reliability of the near-Earth spacecraft positioning regardless of their size and orbit type.

The article deals with the feasibility assessing of the tasks assigned to unmanned aerial vehicles (UAV), and presents a method for the quality assessment of the military purpose UAV. As the result of the said assessment, the resulting inference with account for the unmanned engineering requirements and preferences is being formed. Criteria, which include indicators such as conformity, capability, operational security, sustainability and readiness for solving the tasks assigned to the UAV are known as well. In this regard, it is especially important to address the issues of the used sensors capabilities matching to solve the tasks assigned to the UAV. This task is usually being solved by modeling. Besides, the descriptive structure of a special metric is employed as well to develop a criterion for the UAV tasks feasibility assessing. For example, the issue of the of UAV tasks feasibility while searching for some objects depending on the terrain real landscape should be solved by creating a special methodology for the terrain visualization assessing depending on the state of the surface relief under study. Solving the issue of tasks feasibility is closely associated with the issue of a rational compromise achieving between the UAV total load, various sensors and the UAV mission feasibility. The article studied the issue on the tasks feasibility assigned to the UAV by solving the problem of developing the new criterion of executing functions of objects detection on the surface of the sought-for site by the UAV. Based on the well-known empirical criterion of the said task feasibility, a new indicator has been formed as a logarithm of the ratio of the task fulfillment and nonfulfillment probabilities. Based on the proposed indicator, the invariant linking this indicator with the number of work cycles, which ensure the corresponding probabilities of the task fulfillment, has been formed.

The researches of near and far outer space is relevant in scientific and practical terms. For science, it is the study of the Solar system (including asteroids, comets, distant Galaxies). From a practical point of view, this is the control of space objects and the monitoring of the contamination of near-earth space with space debris.

The world’s leading space powers continue to work on the creation of space facilities designed to solve the problems of testing technologies for remote inspection, autonomous rendezvous with specified objects, maintenance, repair, reconfiguration, modernization, refueling, changing orbit parameters, monitoring «space debris» and other necessary operations. This approach can be used to extend the service life of serviced spacecraft.

Based on the tactical and technical characteristics known from open sources, the article presents the results of the analysis of the current state and prospects for the development of foreign automatic spacecraft of a new generation developed on the basis of unified space platforms.

The introduction of advanced technologies has made it possible to significantly reduce the mass and size characteristics of spacecraft and the consumption of all types of resources, which has reduced the cost of developing, manufacturing and launching small spacecraft. New miniaturization technologies make it possible to create small spacecraft capable of performing tasks that 20 years ago were available only to large-class spacecraft.

The mass of such devices does not exceed 100-150 kg, the overall characteristics may be less than 1 m³. At the same time, the period of active existence can reach 5-7 years, the reserve of the characteristic speed is more than 400 m/s, the positioning accuracy is no more than 10-50 m, and the orientation accuracy is 10-15 angular s. The optical—electronic means of spacecraft have high resolution, allowing to observe geostationary spacecraft from low Earth orbit.

Theoretical and experimental studies have been brought to the stage of creating real groupings of small spacecraft that demonstrate very high capabilities for solving problems of monitoring near-Earth space. First of all, this indicates a high level of theoretical and applied scientific research in this direction and the prospects for the miniaturization of space technology. In addition, this fact explains the priority of these studies, both for the state and for private companies developing modern space systems and complexes.

The article tackles the problems of analyzing the industrial machine operation by more correct selection of place for the vibration acceleration control , as well as specially developed methods for spectra processing, The material being proposed describes the solved issue on the sensor positioning for correct vibration measurement and analysis,

The article presents the spectrum, which analysis allowed detecting the signals with frequencies close to each other within the limits of the spectrum analyzer resolution capability. Besides spectrum identification of the direct Fourier transform of the separate links vibration, the common amplitude of its series of oscillations in time applying inverse Fourier transform was employed for each link analysis

To improve diagnostics, the vibration curves during the process were compared with the course of alloy crystallization while industrial experiments on a machine.

To obtain extra data and further improvement of the diagnostics method under consideration, the temperature indicators of the temperature fields were gathered employing the FLIR brand infrared imaging equipment. The obtained data may be significant while the machine significant components state assessing. It is assumed as well that the infrared imaging equipment allows more accurate determining of the sensors location places for vibrations measuring.

The operation of individual machine units is described, as well as general dependence plotting of the total vibration amplitude, its isolation to a large extent and, thus, identification of the work of both mold and rollers, and comparison of the obtained results with the measured spectra.

The article considers the possibilities of computer programs for obtaining general curves of the mold unbalance motion and after further Fourier transform obtaining an excitation spectrum and a response spectrum.

The work describes theoretically the metal melt motion, allowing obtaining a parabolic type differential equation. The equation was solved for the case of a pulsed vibration impact on the melt.

Electrochemical coatings provide special properties of the surface of the parts. In the aircraft industry, electroplating coatings are widely used to protect against corrosion and increase the wear resistance of steel and aluminum parts.

Efficient specification of the shape of a part in automated control systems for galvanic processes can be organized by exporting drawings for subsequent software processing where complex mathematical calculations associated with surfaces are not required. To solve problems that require complex calculations, various polygonal meshes are divided into simpler shapes. An algorithm for calculating the electric field in a galvanic electrolyte is presented, and the need for a mathematical description of the cathode surface to set the boundary conditions is shown. The paper considers the issues of creating algorithms for converting three-dimensional polygonal models into voxel format to reduce computational complexity, which is estimated by indicators: the time of the algorithm and the amount of memory occupied. The algorithm for converting a polygonal model into a voxel model has the form:

• the octal tree for the model is being built;
• all non-empty vertices of the octal tree are bypassed, each of them is divided into a grid and then a request is made for each cell to enter the polygon into the cell. Bypassing only filled vertices allows you to reduce the constant with computational complexity.

When comparing the most productive «naive» algorithm, which has complexity O(n(1/h)³) with the algorithm developed in this article, which has complexity O((log n)∙(1/h)³), an increase in efficiency up to four hundred thousand times.

The resulting geometric mathematical model reduces the search time for optimal parameters of the galvanic cell, especially when using modern effective optimization methods.

The article deals with the problem of applying machine vision methods for practical implementation in the production of modern laser technologies, in particular, selective laser melting technologies. The authors describe the software platform of machine vision created and implemented in production. Examples of the solved problems of machine vision and scientific visualization in the framework of the industrial implementation of new laser technologies are presented.

The results of the executed work allowed creating a specialized machine vision platform with possibilities of functions expansion in future that empowers simplifying solution of a wide range of machine vision tasks for the of laser technologies implementation. The problems of object recognition occurring in the process of laser technologies developing were considered. One of the problems of the object recognition in industry has been solved, namely the problem of finding a sheet in the working field of the machine-tool. The authors developed and implemented an algorithm for the object contours determining from the previously found angles, which was employed to solve the problem of finding and analyzing the quality of holes while perforation, as well as finding geometry of the fused layer in the process of selective laser melting.

The developed software platform for machine vision allows processes recording in isolated environments, the objects boundaries determining in an image, analyzing and processing visual data, forming and presenting a pattern of heat distribution in a three-dimensional object. It empowered combining the calculated data on the product geometry and the data, obtained by video data analyzing from visual observation tools, with the data on the heat distribution, obtained as the result of numerical experiment in accordance with the implemented mathematical model of the selective laser melting process under study. The proposed approach allows automating the production control process and simplifying analysis and identification of critical areas for technologists, as well as the technological parameters selection for the process of selective laser melting.

The created machine vision software platform has been tested and implemented in the software solutions employed in a number of high-tech industrial productions.

The article presents the results of applying a scientific-methodological and circuit—engineering approach to the stability improving of acceleration measurements made by serial pendulum accelerometers, primarily micromechanical ones, as well as the results of studies on the stability increasing of the nonlinear link with lagging for the auto-oscillatory accelerometer. For the nonlinear link operation stability studying, its digital implementation was selected, allowing utterly high operation stability ensuring of the digital part namely. Besides the digital part, an analog comparator is employed in the nonlinear link, which ensures the several orders of magnitude worse operation stability than this of the quartz oscillator. The results of the comparator response time mean-square deviation are presented for the case of its operation in the normal configuration and for the case of application of the amplifier being recommended. The authors show that the additional amplifier implementation reduces the mean-square deviation value of the comparator response time. The study was being conducted by the comparator switching process modeling. Recommendations on the additional amplifier circuitry are given. The article presents specifics of electronic components allowing eliminating comparator in principal, as radio electronic component, form the circuit. The obtained results may be applied to the stability increasing of the accelerometer conversion coefficient and, as the result, determining more accurately parameters of the spacecraft orbit autonomously under conditions of disturbance factors of the outer space.

In classical oscillators, free sinusoidal oscillations are accompanied by an exchange of energy between its elements, which have the opposite nature of reactivity. In a spring pendulum, the potential energy of an elastic element is transformed into the kinetic energy of an inert element and vice versa. These elements have opposite character of reactivity. In an electric oscillatory circuit, the energy of the magnetic field of the coil is transformed into the energy of the electric field of the capacitor and vice versa. These elements also have the opposite character of reactivity. Oscillators are known in which free sinusoidal oscillations are accompanied by the transformation of the kinetic energy of an inert element or the potential energy of an elastic element into the energy of the magnetic field of the coil or the energy of the electric field of the capacitor and vice versa. The synthesis of a monoreactive harmonic oscillator is based on three premises. First. The oscillator consists of two weights of the same weight. Second. Loads make sinusoidal movements. Third. The total energy of the oscillator does not change with time. In a monoreactive (m-m) harmonic oscillator, inert elements can perform free sinusoidal oscillations, which are accompanied by the transformation of the kinetic energy of an inert бthe first inert element is zero. In this case, the energy of the second element has a maximum value. At the next moment of time, the first element acquires acceleration due to the kinetic energy of the second element, the speed of which begins to decrease.

In this paper, we study the motion of a non-autonomous 2π-periodic in time Hamiltonian system with two degrees of freedom in a neighborhood of a trivial equilibrium that is stable in the linear approximation. It is assumed that the system contains a small parameter ε, and for ε = 0 the Hamiltonian of the system does not depend on time. Let the values of the parameters be close to the resonance values corresponding to the double (fundamental and combination) resonance of the third order. Then, the trivial equilibrium of the complete system is unstable. It is assumed that there is a resonant detuning in one of the frequencies of the linear oscillations of the system.

The goal of the paper is to solve the question of the existence, number and stability (in the linear approximation) of periodic motions of the system in a small neighborhood of the origin. Using a number of canonical transformations, the Hamiltonian functions are reduced to the forms that are characteristic for each resonance case. Model systems corresponding to autonomous systems are studied. The parameter space of the problem is divided into regions, and in each region the question of the existence and number of resonance equilibrium positions of the model systems is solved. The results are compared with ones in the case of exact resonance.

Using the Sylvester criterion, the sufficient conditions for the stability of the equilibrium positions are verified, and the equilibrium positions satisfying them are found. The characteristic equation of the linearized system of equations of perturbed motion is analyzed, and the necessary conditions for stability of the equilibrium positions are obtained in the form of the system of inequalities The equilibrium positions are found, for which one of these conditions is satisfied; the remaining equilibrium positions are unstable (in the complete model systems) A complete analysis of the necessary conditions for stability has not been carried out due to cumbersomeness.

Using the Poincare small parameter method, the periodic motions generated by the considered equilibrium positions are constructed in the complete non-autonomous systems. They are analytic in ε and 12π-periodic in t. The conclusions are drawn about their stability (in the linear approximation) or instability.

A planar elliptic restricted photogravitational three-body problem is considered, i.e. it is investigated the motion of a low-mass body under the influence of both gravitational forces and light pressure forces acting from two massive bodies that move along known Keplerian orbits. It is assumed that the all three bodies move in the same plane. There is a particular solution in this problem describing the motion, which the low-mass body is located on the segment between the attracting centers at the so-called collinear libration point L₁.

In this paper, we study the problem of the collinear libration point L₁ stability in the case of small eccentricity of the massive bodies’ orbits. The system of perturbed motion equations is written in Hamiltonian form. It is established that in this system there are possible both basic and combinational parametric resonances leading to instability L₁.

The normal form of the Hamiltonian quadratic part of the perturbed motion equations is obtained in explicit form by the method of a small parameter. This made it possible to reduce the linear stability problem L₁ to the equivalent stability problem of a linear autonomous system with a normalized Hamiltonian. The explicit expressions defining the boundaries of the parametric resonance regions were found on the basis of this autonomous system and it was obtained the stability conditions L₁ in the linear approximation. Previously, the regions of stability and instability were obtained numerically in [12]. Carried out in that work the numerical analysis results are in good agreement with the results obtained analytically for small values of eccentricity in this article.

Among the structural materials currently used in aviation technology (OT), polymer structural materials (PCM), for example, carbon fiber plastics, which have certain advantages over traditional metal materials for structural purposes, have become widespread. Among such advantages are relatively low density, high specific strength and rigidity, high wear resistance, fatigue resistance, low coefficient of thermal expansion, resistance to chemical aggressive media, damping ability. Speaking about the disadvantages of PCM, it should be noted that during the production and operation of structural elements made of such materials, defects of various types may occur, which have a serious impact on the residual strength. The level of safety of an AT created on the basis of new materials and new technologies should not be lower than the level of safety of an existing AT made of traditional structural materials (and according to traditional technologies). It is important to note that the purpose of developing new PCM is to combine various components to create materials with new specified characteristics that differ from the characteristics of the original components.

In the works [1]-[4], the behavior of structural elements made of PCM in the presence of multiple defects such as bundles of arbitrary shape, size and location under the action of non-stationary loads of various nature was previously considered.

The paper presents a numerical and experimental study of the behavior of a four-stringer flat panel made of a polymer composite material under low-speed impact.

Validation of the numerical experiment based on the results of field tests was carried out. The validation results showed that the maximum stratification area as a result of the impact differs by no more than 11%.

A numerical approach to develop the equivalent mechanical models representing liquid sloshing is established and the effects of surface tension are taken into account which are predominant in low-gravity environment. An appropriate model is a pendulum that has a mass which represents the liquid fraction that participates in the fundamental model of the sloshing. Furthermore, the pendulum must be attached to the tank through a torsional spring which represents the stiffening effect of surface tension. A formulation is derived from the linearization of the motion equations of the liquid near its initial equilibrium position considering pressure jump on the free surface and free-end boundary condition at the three-phase contact line. The continuous problem domain is discretized by the finite element method and its discretization gives a classical generalized eigenvalue problem, whose solutions are natural frequencies and mode shapes. Expressions for the parameters of the mechanical model are obtained by the principle of dynamic similarity. Several examples illustrate the influence of Bond number and fill levels on the behavior of liquid in toroidal tanks. Comparing numerical results with the experimental measurements obtained under ground conditions, it is found that the non-dimensional eigenvalue and slosh masses increases as Bond number increases, but the spring moment and length of pendulum decreases. The results obtained in this paper can be used in the coupling dynamic analysis of the spacecraft with propellant tanks.

New results of studies of convergence of trigonometric Fourier series (TFS) with Fourier coefficients constructed by various methods are presented.

Using the concept of the square of the relative norm, the possibility of an analytical representation of a given TFS function is analyzed in detail and it is established that the cause of the divergence of the TFS with a sufficient increase in its degree is the occurrence of the Gibbs effect.

It is shown that when assessing the convergence of the TFS to its function as an independent change of the relative norm, instead of the current value of the degree of the series k, it is reasonable to use the current value of the generalized variable Θ=kπ/n, which allows us to obtain more general results. Moreover, it is sufficient to control only the value of Θ, which determines the amount of calculations.

Recommendations are given for the construction of such Fourier coefficients that ensure uniform convergence of the TFS to its functions f(x) and the correct finding of their first derivatives free of the Gibbs effect.

Uniformly convergent TFSs constructed according to the proposed method are compared with the known Filon and Lanczos series.

In contrast to the Lanczos method, it is proposed to use variables σ-multipliers depending on the new variable ζ, which affects the rate of convergence of the series to its function f(x) and the accuracy of determining the first derivatives of the series without the occurrence of the Gibbs effect.

The results on the construction of uniformly convergent TFSs relate to any maximum-normalized periodic function f(x) in the interval [-π, π] satisfying Dirichlet conditions. Moreover, if the function f(x) has zeros at the ends of a given interval, then it is advisable to build a shortened TFS with decomposition only in terms of sinuses, hence a simpler TFS.

The proposed uniformly converging TFSs can find application in solving various problems of gas dynamics and heat and mass transfer described by partial differential equations.

In the previous article [1] we described the mathematical model of dynamic landing process for cargo dropped systems with dampers (System) that we developed for statistical modelling of the process. That dynamic model consisted of spatial equations of forces and moments equilibrium, kinematic Euler’s equations and contained contact boundaries from rigid plane to dampers and to cargo. The method of forth integration was used to solve the equations and the idea was that such modeling of landing process had allowed us to detect all the failures well known for such Systems. One of the possible System failure that may occur during landing is its overturn. In this case we have a deal with large angles that may lead to problems with kinematic Euler’s equations. Researching of sources shows that the problem of System overturn usually considers separately with analytical approaches, while the method we used implies continuity of the solution from the beginning of the process to its end.

To avoid such problems in this article we consider the use of Rodrigues-Hamilton parameters (or quaternion) instead of kinematic Euler’s equations to solve the dynamic task of complex System moving. We use the fourth order of Runge-Kutta method to realize the algorithm of Rodrigues-Hamilton parameters. To convert the quaternion to spatial angles Krilov’s equations are used.

To demonstrate accuracy and stability of the developed algorithm the task of complex rigid body spatial free motion is considered. Comparison of these results with the solution that comes from commonly used CAE shows us their similarity. After that, we also consider the task of System landing with its overturn. These results are considered from qualitative analysis point of view.

Thus, the use of algorithm we realized with Rodrigues-Hamilton parameters instead of kinematic Euler’s equation in the mathematical model of System landing process allows us to avoid «special points» and to generalize the solution to the tasks of large spatial angles, including System overturn.

The autonomous functioning of the power gyroscopic complexes of small spacecraft does not allow maintenance during its operation. One of the most loaded elements of the power gyroscope are rolling bearings. Since the functioning of rolling bearings depends on the correctness of their assembly and the presence of lubrication, in order to ensure the autonomous functioning of the rotors of power gyroscopic systems, the technology of resource lubrication and resource assembly of the bearing assembly is used in their manufacture, which implies one-time lubrication and assembly (without the possibility of adjustment) for the entire life of the device.

The article presents the results of research on the use of a method for quality control of assembly of ball bearing bearings of power gyroscopic complexes operating in vacuum space by estimating the size of the bearing clearance by the parameters of acoustic emission signals.

The definition of the limiting state of the bearing supports of the rotors of power gyroscopic systems is given, by which it is necessary to understand the state when the friction losses of the bearing (taking into account the progressive heat release) will exceed the difference between the maximum torque generated by the electric motor of the rotor of the power gyroscope and the torque necessary to ensure the required angular velocity of the rotor flywheel, taking into account its moment of inertia.

It is proved that the main criterion for the correctness of the resource assembly of a ball bearing assembly is to ensure the correct contact interaction of its elements as a tribological system. At the same time, the main controlled parameters are the force that the bearing perceives after the rotor assembly, as well as the parameters of elastic deformation in the ball—ring bearing system.

A model of natural frequencies of elements of bearing supports of power gyroscopic systems has been developed taking into account their stress-strain state.

The dependence of the frequency of natural oscillations of the bearing ball on the force acting on the bearing after its assembly is proved. This dependence is of a power-law nature and can be used in the development of a new method of quality control of the resource assembly of bearing supports of power gyroscopes.

The article presents a technique for experimental modeling of the impact of plasma radiation from an electric rocket engine on solar cells. The used laboratory-experimental base and the procedure for conducting tests are described. Relationships for calculating the coefficients of degradation of the electrical characteristics of solar cells are given.

The essence of the approach of experimental modeling of the effect of plasma radiation from an electric rocket engine on solar cells is to measure: the temperature field of a solar cell, the characteristics of the plasma flow, the electrical characteristics of solar cells before and after exposure to the plasma radiation of an electric rocket engine, and to calculate the degradation coefficients of solar cells.

It is advisable to use the obtained values of the degradation coefficients in the design of spacecraft solar arrays.

The presented technique makes it possible to determine the coefficients of degradation of the electrical characteristics of solar cells when exposed to plasma radiation from an electric rocket engine, as well as to carry out studies:

— on the influence of the effect of plasma radiation from an electric rocket engine on the electrical characteristics of solar cells, depending on the parameters and modes of operation of an electric rocket engine;

— on issues of increasing the energy efficiency of an electric rocket engine by using the energy of plasma radiation by returning it to the onboard network using photoelectric or thermal converters.

The multiplicative degradation coefficient determined in the course of tests allows one to perform an estimated calculation of the power generated by a solar cell after exposure to plasma radiation from an electric rocket engine.

Bodies moving at very high speeds through a rain-field can experience severe damage caused by the impingement of raindrops on their surfaces. This effect is usually referred to as"rain erosion". Rain erosion has been a concern of the aviation industries for many decades, and rain erosion resistance is one extremely important parameter of the interaction of materials with the flight environment. In this paper, a single waterjet impact test platform was established based on the first-stage light gas gun in order to conduct the rain erosion tests on materials. Its principle was that the gas gun launches a metallic projectile to impact the water storage chamber sealed by the rubber piston, and then the liquid was driven from the small nozzle to form a high-speed waterjet. The apparatus could generate stable waterjets with speeds of 200−600 m/s, diameters of 4−7 mm and a smooth circular-arc head, which simulated a waterdrop with the same diameter. A series of single waterjet impact tests were carried out on a symmetrically cross-ply carbon-fiber-reinforced composite (CFRP) laminate under different waterjet velocities and diameters. The results show that the typical damage modes of CFRP laminates impacted by single waterjets are as follows. The impacted surface is depressed, and the surface damage consists of resin removal, matrix cracking, minor fiber fracture and fiber exposure around the rim of a central undamaged region. The internal damage range gradually expands from the impact surface to the bottom ply, mainly composed of intralaminar matrix cracking with a pyramid shape and interlaminar delamination with a diamond shape. Both the surface and internal damage are more extensive in the longitudinal than the transversal direction, thus presenting typical.

The main goal of the work is to evaluate the effect of the solar battery panel temperature deformations when a small spacecraft leaves the Earth’s shadow on the parameters of its rotational motion.

The problem lies in the transformation of a small spacecraft after the end of its active existence into space debris, which significantly complicates the successful implementation of new space projects due to the threat of collision. Currently, many methods have been developed for cleaning up space debris. One way involves towing space debris using tether systems. At the same time, the connection between the tug and space debris is not sufficiently reliable so the cable can separate from space debris under the influence of various disturbances.

One of such disturbances may be a temperature shock of the solar panel when the space debris is a small spacecraft with large elastic structural elements. The greater the mass fraction of the elastic element in the total mass of a small spacecraft, the more significant the effect of the temperature shock on the dynamics of its rotational motion.

An analysis of research by scientists from around the world shows that the temperature shock can disrupt favorable conditions for the implementation of gravity-sensitive technological processes, causing temperature fluctuations in large elastic elements, which lead to unacceptably high microaccelerations. During experiments on the International Space Station with promising solar panels of the ROSA type, temperature fluctuations were so intense that they did not allow the panels to be rolled up at the end of the experiment. In this case, the question of the controllability of a small spacecraft equipped with such solar panels already arises.

The article deals with issues related to the influence of angular acceleration from the temperature shock and a disturbing factor on the functioning of the spacecraft.

The influence of angular acceleration from the temperature shock is estimated on the basis of numerical modeling and construction of the deflection field of the plate median surface as a result of the temperature shock in the ANSYS software.

For the small «Starlink» spacecraft, the values of the angular acceleration from the temperature shock and the deflection field of the plate middle surface as a result of the temperature shock were obtained.

As a result of the research, the dependence of the angular acceleration on the temperature shock of the small «Starlink» spacecraft was obtained and the maximum value of the disturbing moment was estimated. When transporting such a small spacecraft using tether systems after the end of its active life, this disturbance must be taken into account in order to avoid the contact loss between the tether and space debris as a result of temperature shock. The results obtained can be used to analyze the possibilities of transporting space debris using tether systems.

In various industrial sectors, damping materials are used that are suitable in their properties for specific working conditions. The use of damping tapes is one of the existing ways to improve the damping properties of materials. At the moment, for modern thin-walled structures, there is a need to develop more advanced calculation models, for which the actual operating conditions of structures should be sufficiently fully reflected, taking into account the mechanical properties of the material from which its elements are made. The damping properties of the materials from which they are made, as well as the amplitudes of their oscillations, have a significant impact on the dynamic tension of the elements of thin-walled structures. Improving damping properties is one of the methods to increase the service life of structural elements subject to cyclic loading during operation. To damp vibrations in different frequency ranges that occur under external influence, as well as on the weight characteristics of the system, the choice of optimal types of damping coatings depends. This article explores the effect of 3M brand damping tape on the dynamic characteristics of a cantilever beam and the simulation of this process. and modeling of this process. The results of numerical simulation of free vibrations of an aluminum beam-plate without damping layers and with damping tapes glued to the front surfaces (three-layer beams) are presented. For numerical simulation of models of plates of all investigated sizes with a damping tape, simulation of the oscillatory process was applied similarly to physical testing. A finite element model of a plate with a grid is constructed. The dynamic characteristics of three-layer beams are determined. The dependence of the change in the damping coefficient on the amplitude for samples with and without damping tapes for different amplitudes is established, the amplitude-frequency characteristic, the logarithmic damping decrement, the damping coefficient and the natural frequency of the samples without a damping layer and with its participation are obtained.

Numerical modeling was carried out in order to compare the experimental results of the dynamic characteristics of a cantilever beam without and with a damping layer.

The paper considers the development of a special device - a stand for filling flat heat pipes with a liquid coolant, as well as a method for filling them, based on controlled flow under the influence of gravity of the coolant in the internal space of heat pipes (HPs).

The coolant (coolant) used for pouring into heat pipes is pre-treated — dissolved gases are removed from it. The degassing of the coolant is carried out in order to minimize the process of oxidation of the internal metal parts of the case and the evaporative capillary-porous structure (ECS) of the HP.

In order to increase the efficiency of the process of filling experimental batches of heat pipes, reduce material and time costs, a special device is proposed - a filling stand that combines all technological operations that were carried out separately into a single technological cycle.

Degassing is carried out by ultrasonic (US) cavitation in a special container installed in an ultrasonic bath, which is an integral part of the filling stand.

The implementation of this development allows you to get a useful result, which consists in:

- saving labor costs by reducing the number of technological operations and design features of the installation;

- increasing the reliability of HP sealing associated with the possibility of visual control over the entire technological cycle of refueling;

- an increase in the depth of coolant degassing, which in turn affects the extension of the service life of filled HP;

- reducing the probability of failure of the radar by increasing the reliability of the cooling system PPM AFAR;

- possibility of production in a short time of pilot batches of HP for further research.

The article proposes the methodical approach allowing to solve a problem of improvement of quality of the radar images received by space synthetic aperture radar radars from the antenna synthesized by an aperture due to accounting of atmospheric distortions.

The purpose of work is improvement of approaches to formation of radar images.

Object of research are methods of estimation of resolution of the s space synthetic aperture radar which is used as the key information indicator and characterizes detail and quality of radar images.

The result of the work is a the technique of estimation of resolution of the space synthetic aperture radar taking into account compensation of atmospheric distortions.

The proposed technique is based on the use of compensation of atmospheric distortions from positions of geometrical optics. The offered technique of estimation of resolution of the space synthetic aperture radar allows to determine the amendment to inclined range taking into account the joint impact of distortions of the troposphere and an ionosphere at a stage of formation of basic function by an azimuth in synthesis algorithms of radar images.

Accounting of a refraction of electromagnetic waves and correction of inclined range are realized with use of index of refraction of the environment and a method of approach of geometrical optics at distribution of radio waves in the non-uniform environment. For use of this approach it is necessary to define a condition of the atmosphere with use of models of the troposphere and an ionosphere in a zone of the review of the synthetic aperture radar taking into account real geophysical conditions.

Results of imitating modeling confirm a possibility of use of the proposed technique for estimation and accounting of the errors brought by the atmosphere of Earth in measurements of radar parameters by means of methods of calculation of trajectories of radio waves at the set index of refraction of the environment.

The developed technique allows to carry out compensation of impact of atmospheric distortions and to increase quality of the received radar image.

The proposed methodical approach can be used for performing synthesis of radar images, for elimination of errors of measurement of coordinates of objects and for improvement of values of resolution and contrast of radar images.

In modern onboard information-measuring systems (IMS) of UAV, algorithms for optimal or quasi-optimal processing of random processes are practically implemented using digital signal processing tools. Therefore, these algorithms must be synthesized in a discrete form in the form of recurrent relations that are convenient for such an implementation. However, in most cases, the mathematical models of the processes evaluated and observed in the IMS have a continuous form of recording, which is due to the physical nature of the phenomena occurring with the signals. In this regard, the problem of synthesizing optimal algorithms for discrete filtering of counts of continuous random processes arises. At the same time, the modern element base makes it possible to use a high sampling rate in on-board IMS, which leads to autocorrelation of measurement readings. Therefore, in the statistical synthesis of filters, it is necessary to take into account the correlation of measurement noise, which significantly affects the generated filtering estimates. In this paper, proposes a new discrete Kalman filter (KF) based on a statistically equivalent discrete representation of continuous state and observation vector models to solve the problem of optimal linear filtering of samples of a continuous vector Markov random process, taking into account the known statistical characteristics of additive vector Markov correlated noise. The problem of filtering a state-space linear model with colored measurement noise and precise noise covariance matrices is converted to a problem of estimating a state-space linear model with white Gaussian measurement noise and precise noise covariance matrices using the measurement difference method and without state vector augmentation. The structure of analog-to-digital conversion and discrete KF is presented. The main feature of this algorithm is the accumulation (integration) of continuous observation on the time intervals between adjacent samples of the estimated state vector. To illustrate the potential characteristics of the accuracy and noise immunity of the synthesized algorithm, a simple example of filtering a continuous Gaussian Markov random process against the background of Markov random noise is considered. From the graphs presented, one can quantify how much analog and discrete algorithms for optimal filtering of a continuous random process depend on the ratio of the width of the spectral density of the measurement noise to the width of the spectral density of the random process and the signal-to-noise ratio. The presented discrete filtering algorithm allows us to quantify the deterioration of the potential characteristics of accuracy and noise immunity in the case of optimal estimation of continuous random processes due to the coloration of measurement and sampling noise. The use of the method of difference measurements does not increase the computational costs in the discrete KF, since the dimension of the state vector remains unchanged, as in the case of filtering continuous random processes against the background of white Gaussian noise. At the same time, the analog part of the analog-to-digital converter is significantly simplified in comparison with similar algorithms, since a one-cycle delay is implemented in a discrete KF after the ADC. It should also be noted that there is no operation of analog differentiation inherent in classical algorithms for filtering continuous random processes in continuous time using the method of difference measurements.

Of particular importance at the present time in the development and operation of small spacecraft are the issues of ensuring the required degree of autonomy and survivability, as well as increasing the efficiency of the small spacecraft in various environmental conditions. The relevance of solving these problems for small observation spacecraft is caused, on the one hand, by the peculiarities of the orbit on which this type of spacecraft operates, and on the other hand, by the lack of the possibility of timely control in the event of emergency situations on board the small spacecraft. To ensure the autonomy and survivability of a small spacecraft, it is necessary that it be in working condition for a maximum time or quickly restore its working capacity. That is, it is necessary to be able to change (rebuild) the structure (structures) of the small spacecraft in various environmental conditions in order to maintain the required level of performance. In practice, when solving problems of ensuring reliability, survivability, disaster tolerance and fault tolerance of complex technical systems within the framework of the currently developed theory of structural dynamics control, such a variant of managing the structures of a complex technical object as reconfiguration has become widespread.

This article proposes a method for solving the problem of planning the reconfiguration of a complex technical object based on structural and functional reconfiguration under the conditions of an unknown cyclogram of the activation of the complex technical object operating modes. A computational experiment was carried out on the example of a small spacecraft for remote sensing of the Earth «Aist-2D».

One of the priority areas in economically developed countries is the security of critically important, especially complexly organized systems. Examples of such systems are a variety of robotic production; nuclear power plant control systems; onboard computing systems; groups of unmanned aerial, land and water robots; global navigation satellite system (GLONASS); large software systems of high importance and many other systems.

The main problem of building computing systems at all times remains the task of ensuring their long-term functioning. This task has three components: reliability, availability and serviceability.

Of particular relevance is the use of computer systems for managing critical objects operating in real time.

The main difference between real-time operating systems and any other operating systems is the guarantees for the start or end time of processes that are provided by real-time systems.

In the event of a failure, such systems are subject to high requirements for operability, non-failure operation, safety, security, etc. Obviously, the most important thing is to minimize the time and hardware costs required for the response of a multiprocessor system to an emergency situation.

One of the options for solving this issue may be planning the load of processors in multiprocessor systems. In this case, you can avoid simultaneous loading of several processors by one task (program, subroutine, algorithm, file, etc.) and, at the same time, schedule the queue of incoming tasks in such a way that they are served simultaneously. This allows you to reduce unplanned downtime and at the same time increase its availability along with increased speed.

The article is devoted to multiprocessor systems. The issue of compiling a plan for loading processors in them is touched upon. It is supposed to use the so-called real-time systems.

Understanding users’ preferences is a challenging task especially with a huge amount of items. Modern recommender systems are keen to solve this task by applying state-of-the-art methods of candidate sampling and simple heuristics in couple with Machine Learning ranking algorithms. This paper presents an algorithm of candidate sampling from three different sources followed by a ranking algorithm. These two stages form a session-based recommender system that is capable of building a user’s probable preferences based on its current session. For candidate sampling, we use a language model (Word2Vec) and sparse vectors for item representations, and the most popular items from a dataset. Each stage is divided into multiple substages making it really simple to add new candidate sources or remove existing ones. The same technique can be easily applied to ranking algorithms — one can remove a ranking algorithm or add the new one in order to blend model predictions maximizing Precision or Recall metrics as well. We also show the importance of ranking algorithms in recommender systems by measuring Learning to Rank (L2R) specific metrics on test data. There are several ranking algorithms in this paper. All of them belong to the pairwise algorithms subclass. Such algorithms as LambdaRank, YetiRank, and StochasticRank are used in comparison to non-ranked recommendations. We use CatBoost implementation of gradient boosting and PyTorch to build a neural ranking net. As a result of the experiment, we get a ready end-to-end recommender system pipeline with flexible modules that are easy to add/remove and show the benefits of ranking models with recommendations on real data.

The problem of development and implementation of a CAD/CAM/CAE system for manufacturing structures from fibrous composite materials using 3D printing is considered. The general configuration of the system and the assignment of its functional modules are described. The advantages of the mathematical support and software developed for the system for creating digital twins, which allow generating control programs and conducting virtual modeling of a 3D printing process to be used in the manufacture of products of complex geometric shapes, as well as developing rational schemes for the reinforcement of printed composite structures and finding optimal printing modes, are shown.

CAD/CAE system is focused on modeling, visualization of the placement of fibers in the printing area, finding the optimal printing scheme based on the requirements conditioned by the product operating conditions. In this connection, it must meet the following requirements:

• availability of the option to uniformly describe flat print areas,
• availability of tools for setting various printing schemes,
• availability of tools for calculating the strength of a structure in compliance with a certain printing scheme,
• availability of tools for selecting the optimal printing scheme conditioned by the product operating conditions from various printing schemes.

The main principles of development of a CAD/CAM/CAE system for manufacturing functional structures from fibrous composite materials using 3D printing are considered. The task of modeling and visualization of the 3D printing process is formulated. The main specifications of the developed CAD/CAM/CAE system associated with the possibility to set the structure of a facility with its subsequent adjustment and smoothing. triangulation of the print area and modeling of placement of fibers using analytical functions during the printing process are determined. Mathematical tools for solving equations characterizing mechanical properties of composite materials based on wavelet analysis methods, as well as for calculating the optimal directions for placing fibers of composite materials are described.

This article is devoted to research of the kinematic error in the units of servo systems with mechanical transmissions. The flap Т-gearbox of the high lift transmission was considered as the object of the study. Numerical simulation methods were used to determine the kinematic accuracy of the research object. Geometric dimensioning and tolerances of gearbox components were assigned, a 3D CAD model was built with the worst-case combination of tolerance fields, material characteristics were assigned, forces, constraints and boundary conditions were specified, and the results were evaluated. There are many methods of solving this issue. Analytical methods and methods using 3D modeling allow to determine the kinematic error in the early stages of the design, but they are not automatized. Experimental methods of calculation have the greatest accuracy, but are not possible in the early stages of project development. The numerical simulation method is devoid of the disadvantages of analytical methods. The basic equation of dynamics for the investigated system was formulated and solved using the HHT integrator based on the α-method. The interface between the surfaces of the rigid bodies was defined by contact force. In the first case of the calculation, the gearbox housing was fixed in space, the other bodies were constrained to move in a plane perpendicular to the plane of rotation of the shafts. In the second case, only the outer rings of the bearings and their sleeves were constrained to move in the plane, because they were fixed in the axial direction in the real construction. Because of the shaft axis displacement possibility in angular directions and the possibility of axial displacement, the kinematic error increased significantly. At the early stage of development, the value of gearbox kinematic accuracy was determined. The obtained value complies with the requirements for the accuracy of the high lift transmission. The specified geometric dimensioning and tolerances are not very precise or too rough and can be applied to other single stage bevel gearboxes used in high lift transmissions.

The paper presents the results of solving the scientific problem of synthesizing an adaptive autonomous navigation system of a spacecraft and presents the results of a study of the accuracy of determining the navigation parameters of a spacecraft under the influence of disturbing factors that can be continuous, periodic and short-term. Their manifestation is difficult to predict. The impact of disturbing factors on the on-board equipment can lead to both a gradual and a sharp decrease in the effectiveness of spacecraft target tasks due to the deterioration of technical characteristics of optical elements of star sensors, external optical elements of navigation devices, temperature-regulating coatings and electronic equipment of the autonomous navigation system, which, in turn, can cause a metrological failure of on-board measuring instrument devices. To estimate measurement errors of navigation parameters of the spacecraft, an algorithm for the operation of an autonomous navigation system has been adopted, where the zenith distances of two navigation stars and the altitude of the spacecraft above the Earth’s surface are used as primary navigation information. Simulation results are presented for the case when measurements of on-board measuring instruments contain random errors distributed exponentially. It has been shown that the disturbing factors of the outer space lead to an increase in characteristics of random errors of onboard measuring instruments and, as a consequence, to an increase in spacecraft navigation errors. The study has been carried out by modeling the process of solving the navigation problem, taking into account the impact of disturbing factors navigation parameter onboard measuring instruments. The basis for obtaining numerical estimates of the accuracy of the spacecraft autonomous navigation system is the simulation of the process of solving the navigation problem using computer technology. To process the results of navigation measurements containing unavoidable random errors, a non-recurrent weighted least squares method has been used in the work. The obtained results can be used to counteract disturbing factors of the outer space that reduce the accuracy of the spacecraft navigation and to justify adaptive and reconfigurable systems that allow autonomously to determine the parameters of the spacecraft orbit in the conditions of disturbing factors of the outer space.

Due to the peculiarities of the orbital movement of asteroids approaching the Earth, a significant proportion of them either in principle cannot be detected using existing monitoring tools located on the surface of the Earth, or detection can occur too late. The lack of influence of the atmosphere on optical observation means leads to the advantages of the location of asteroid detection means in space. In this article, a study is carried out on one of the possible ways of their stationary location — uniform distribution with regard to visibility zones on the surface of the moon.

An algorithm is proposed, which allows on the basis of initial data on the angle of solution and the maximum range of detection of dangerous space objects by lunar means. The zone of near and long-range explosive detection, as well as the zone of continuous multiple detection of asteroids, their description and illustrations are given. Computational experiments were carried out using the developed algorithm for estimating the number of means for detecting asteroids when placing on the entire surface of the Moon or its part, dependencies of the angular distance between the standing points and the angular dimensions of the visibility zones of the means for detecting asteroids on the maximum range of detecting asteroids were obtained.

In addition, an algorithm was developed and the number of means for detecting asteroids with vertical orientation of the sighting axes was estimated with the exception of a part of the Lunar Surface for their placement, due to the closure of the outer space region by the Earth («dead zone» of asteroid detection means), when placed on the entire surface of the Moon or its part, the dependence of the angular distance between the standing points and the angular dimensions of the visibility zones of the asteroid detection means on the maximum detection range of asteroids is also obtained.

The presented algorithms for estimating the angular distance between the points of standing on the surface of the Moon of the same type of asteroid detection means with vertical orientation of the sighting axes and their number for forming the asteroid detection line allow obtaining correct results and can be used for further research to determine the parameters of the asteroid detection line zones, reduce the number of asteroid detection means and estimate the probability of asteroid detection.

With the advent of drones, it became possible to use unmanned aerial devices to study the pollution of the atmosphere with aerosol, various gases and water vapors. For these purposes, the method of radiometric probes operating in vertical lift mode is still widely used. At the same time, the successful performance of this function with the help of UAVs depends on a number of factors, one of which is the limited time of their flight. For example, the typical flight time of multirotor battery-powered drones is 20-50 minutes. One of the ways to solve this problem is the use of a hybrid hydrogen fuel cell (FCHS) system containing a fuel cell and an electric battery The question of using a drone equipped with a hydrogen cell of a hybrid power supply system and electric batteries to study the vertical profile of the atmosphere has been investigated.

The problem of finding the optimal dependences of the energy of the power supply system and the power consumption on the altitude is solved, at which, taking into account the limitation on the average height of the power consumption, the flight time can be minimized. This minimization of flight time is explained by the need to eliminate the influence of changes in the atmosphere on the overall result of the study of the structure of the atmosphere.

Taking into account the obtained solution, as well as the known dependence of the drone’s power consumption on mass, acceleration of free fall, air density and the area of the propeller disk, a formula for calculating the mass in the optimal mode is obtained. It is shown that in the optimal mode, the condition of mass constancy is provided if the energy of the power supply system increases exponentially. In the absence of such growth, the discharge mode of spent batteries is recommended for the implementation of the described optimal flight mode.

The tasks of carrying out measurements with relatively high temporal and spatial resolution using UAVs can be successfully performed when carrying out accurate georeferentiation of their position, i.e. linking photogrammetric devices to any coordinate system. There are indirect and direct georeferentiation. With indirect georeferencing, the real coordinates of ground control points (GCP) are taken into account and they are compared with the measurement results of these points in the images. With direct georeferentiation, the direct use of known objects in the image is carried out. An unambiguous determination of the optimal density of GCP placement in RTK GPS systems does not seem to be justified, since the total influence of both technical factors and meteorological factors (water vapor, pressure, temperature) is taken into account. This article suggests a way to account for the influence of such a common factor. The definition of such a generalized factor and the assumption that the magnitude of this factor is not constant in space allows us to formulate and solve the optimization problem of calculating the optimal dependence of the GCP placement density on the specified generalized indicator. The accuracy of direct georeferencing of UAVs in zones with different climatic conditions is analyzed. The optimization problem of finding such indicators of georeferentiation of measuring instruments in x and y as the density of GCP placement (control points) and the pedestal of exponential dependence of the error of georeferentiation on the number of established control points is formulated and solved. It is shown that if we assume the presence of an analytical dependence of the number of control points along the flight path on the value of the specified pedestal, then the minimum of the average integral value of the relative error of referencing is achieved with the presence of an inverse logarithmic dependence of the number of control points on the height of the above-marked pedestal.

The article is a continuation of research published in issue No. 110 of the Proceedings of the MAI and AIP Conference Proceedings 2318, 020009 (2021). The research is devoted to the rendezvous of a space debris disposal spacecraft (hereinafter SDC — space debris collector) with a space debris object for the purpose of capture and processing into fuel.

The main problem of the article is a graphical evaluation of the study performed earlier.

The purpose of this work is a graphical assessment of the approach of the SCM and the selected space debris object by constructing their paths.

The relevance of this work is to increase the number of space debris objects that can damage spacecraft in a collision.

According to space debris data provided by the European Space Agency, the number of debris objects is as follows:

— 36,500 space debris objects larger than 10 cm;

— 1 million space debris objects ranging in size from more than 1 cm to 10 cm;

— 130 million space debris objects ranging in size from more than 1 mm to 1 cm.

The author concludes that the amount of space debris decreases slowly and only during periods when its formation is small and there is no particularly strong fragmentation.

The probability of a spacecraft colliding with space debris increases at orbital altitudes of 800 — 950 km.

In satellite orbit, you can see that the disturbing forces and additional masses from the collected space debris had little effect only in small periods.

The purpose of the work is to find a mechanical analogue of cyclotron motion and to determine the scheme of the corresponding device, which is appropriate to call a stabilized rotator. The topic of speed stabilization is relevant. From the key circumstance that determines the possibility of generalizing cyclotron motion to mechanics, which consists in the fact that the Lagrangian of an electron is twice as large as its kinetic energy, which, as applied to a stabilized rotator, should be interpreted as the equality of kinetic and potential energies, it follows that the composition of a stabilized rotator should include elements , which are able to store both of these types of energy, namely, the load and the spring. The natural frequency of rotation of a stabilized rotator is strictly fixed (it does not depend on either the moment of inertia or the moment of momentum) and remarkably coincides with the natural frequency of oscillations of a pendulum with identical parameters. When the angular momentum changes, the radius and tangential velocity change (the rotation frequency does not change and is equal to its own). At zero torque in the stationary mode, the rotational speed of the stabilized rotator cannot be arbitrary and takes on a single value. A stabilized rotator can be used to control the natural frequency of a radial oscillator, although in this capacity it may have strong competition from mechatronic systems. On the contrary, as a rotation stabilizer, its competitive capabilities are undeniable and are determined by the extreme simplicity of the design.

The Lyapunov function method is applied to solve the problem on optimal stabilization of the steady-state mode of operation of the two-component liquid-propellant rocket engine with turbo-driven pump assembly by regulating the pressures in the oxidizer and fuel tanks with considering wave processes in the flow lines. Liquid-propellant rocket engine is a complex mechanical system containing two distributed links and finite-dimensional links located at both endpoints of the distributed links. The linearized equations of dynamics of separate links are drawn up. After an exception of some variables from these equations system of dynamic equations of liquid-propellant rocket engine in general have been obtained. To solve the problem on stabilization, first, the Lyapunov function method is used to determine the set of controls (laws for regulating the pressures in tanks) ensuring asymptotic stability of liquid-propellant rocket engine operation. Then, the optimal control is determined on this set by the Lagrange function method from the condition for minimum of the norm at each moment of time. Based on specific equations, the Lyapunov function is constructed as the sum of integral and ordinary quadratic forms, the sign-definiteness of which is checked by the Sylvester criterion. The developed control laws can be implemented quite simply and accurately in practice. It is not possible to ensure the asymptotic stability of liquid-propellant rocket engine operation without regulating the pressures in the tanks. The liquid-propellant rocket engine belongs to the class of systems with distributed and lumped parameters, described by linear equations in partial and ordinary derivatives. Some equations of dynamics of liquid-propellant rocket engine do not contain time derivatives. The methodology of synthesis of optimal controls with the smallest value of the norm at each moment of time in systems with distributed and lumped parameters, some equations of which do not contain time derivatives, has been developed. The need for such control arises, for example, when determining the boost pressure in the hydraulic tanks of the hydraulic system; when determining the boost pressure of the fuel tank, which ensures stable operation of the heating furnace. The developed methodology can also be used to study stability of such systems. For example, when studying the stability of operation of a rotary-type wind turbine with a vertical axis of rotation together with a pump. The shaft that transmits the torque of the wind turbine to the pump has a considerable length, so the problem is solved, taking into account the elasticity of this shaft.

By the method of mathematical modeling the flutter of orthotropic plate of rectangular shape in plan at different angles of attacking stream is investigated. For numerical modeling of unstable oscillations of a plate the effective numerical algorithm without saturation which allows on a rare grid to receive admissible accuracy in the approached decision is offered. The type of eigenform depending on the angle of direction of the attacking flow velocity vector is studied numerically. The resulting quadratic eigenvalue problem can be reduced to a double sized standard linear eigenvalue problem. The term «panel flutter» refers to the flutter of a thin plate, shell, or membrane when typically, one of the surfaces is exposed to airflow and the other to still air. The panel then experiences elastic, inertial and aerodynamic forces, which can lead to dynamic instability of the structure. The paper shows that the resulting quadratic problem for eigenvalues can be reduced to a standard linear problem for eigenvalues of twice the size. Questions related to the existence, uniqueness and regularity of the solution are not considered in the work. We refer the interested reader to the work. The first recorded occurrence of flutter for circular cylindrical projectiles appears to have been on a German V-2 rocket. The study of the stability of the oscillations of a thin plate of arbitrary thickness in the plan, which in the plane , occupies the region with the boundary and is blown by the gas flow, leads to a non-self-adjoint spectral problem for the amplitude value of the deflections , , which is obtained by generalizing the results of Kiyko I. A. and Ilyushin A. A.

Rapidly developing technical progress poses new, more complex and interesting tasks for engineers. This did not bypass the area of problems of the mechanics of a deformable solid body, and specifically the theory of plates. Plates and shells are extremely widely used in the construction of a wide variety of engineering structures.

At present, nonstationary problems in the theory of plates remain poorly studied.

In this work, vibrations of the Timoshenko plate under the action of non-stationary pressure are studied. investigated. The plate is assumed to be infinitely extended. To describe the movement of the plate, the well-known equations of the S.P. Timoshenko.

The solution method is based on the principle of superposition, according to which the normal displacements of the plate are a convolution of a given pressure with an influence function in spatial coordinates and time. The influence function for a plate is its formal displacements under the influence of a special type of pressure, namely, a unit concentrated force applied instantaneously in time. Mathematically, such a distribution is given by the product of the Dirac delta functions.

A spatial problem is considered in a Cartesian rectangular coordinate system. In this case, expansions in double trigonometric Fourier series and the integral Laplace transform in time are used to construct the influence function. The original coefficients of the expansion series are determined analytically using the second expansion theorem for the Laplace transform. Using the principle of superposition and the constructed original of the influence function, the solution of the problem of non-stationary oscillations of a rectangular Timoshenko plate, as well as displacement at a point under the influence of a distributed load, is obtained.

The paper investigates the response of the hinged Timoshenko plate to the impact of various non-stationary loads. For the solution, a numerical algorithm was developed and implemented on a computer. Examples of calculation of the deformed state of the plate are given.

The traveling at supersonic speed generates a detached bow shock wave ahead of it. Downstream of that, the flow attains large increases of pressure and temperature, which are responsible for the high drag and aerodynamic heating. High drag values increase fuel usage and reduce the ratio of payload to total takeoff weight [1].

The paper considers supersonic flow at Mach number M=4.2. The condition of adhesion and isothermicity with a temperature T = 300 K is established on the streamlined surface of the object of study. The flow is considered axisymmetric with respect to the OX axis. The simulation was carried out in a two-dimensional formulation on a structured prismatic grid containing 506 thousand elements, 65 elements account for the boundary layer. The ratio of the diameter of the main cylinder to the length of the needle is L/D = 1.4.

During the calculation, the mesh cells are adapted in the zones of flow inhomogeneities. The number of adapted cells is 835 thousand, the number of unadapted cells of the original grid is 234 thousand. A homogeneous grid with the size of the cells corresponding to the adapted cells would contain about 2687 thousand cells. Thus, local adaptation allowed to reduce the amount of calculations by 2,5 times.

As a result of the calculations carried out, the difference in the distribution of the pressure coefficient on the surface of the model and in the position of the head shock wave between the adapted and non-adapted grid is clearly traced.

Comparison of the results of visualization of flow inhomogeneities in supersonic body flow obtained experimentally on a wind tunnel and numerical modeling. The results of numerical simulation are in good agreement with experimental data.

The calculations presented in the article showed that the use of local grid adaptation in the areas of gas-dynamic inhomogeneities allowed not only to reduce the cost of computing, but also to achieve a good agreement of numerical results with the results obtained experimentally on a supersonic wind tunnel.

The presented work deals with the numerical modeling of the two-phase flows, namely, the computation of a blunt body supersonic flow-around by a viscous gas flow with an admixture of a small amount of large particles, which, after reflection from the surface, go outward the shock layer, being moved by the inertia towards the incoming flow. Test-bench and numerical experiments reveal that the motion of high inertia particles changes the structure of the gas flow in the shock layer, and impact jets herewith directed to the body being formed cause the gas pressure increase near the surface areas and a multiple growth of the convective heat flow.

A computational model of the blunt body supersonic viscous flow-around with an admixture of large solid particles was developed in three-dimensional space. The system of non-stationary Navier-Stokes equations in conservative variables is being numerically solved by the meshless method, which employs the cloud of points in space of computational nodes for the gas flow parameters representation. The spatial partial derivatives of gas-dynamic values and functions, containing them, are being approximated by the least square method on the set of nodes distributed in the area of computation. Non-viscous flows computing is being performed by the AUSMPW+ method in conjunction with the third order MUSCL-reconstruction, while viscous flows are being computed by the second-order scheme.

Each particle, as well as a barrier streamlined by a flow, is being surrounded by a cloud of computational nodes belonging to its domain and moving together with the particle in space. The computational nodes position is being adapted to the body shape and allows resolving the flow in the boundary layer with enough accuracy to determine the convective heat flow from the gas surface. The gas state computing at the nodes associated with the particles is being performed by solving the Navier-Stokes system of equations in a moving coordinate system attached to the moving particle. A model of evolution of a single cloud of computational nodes is built. The nodes that fall into the domains overlapping zone are being temporarily excluded from the calculation, and external nodes of one domain become neighbors of the nodes of another domain to compute both viscous and convective fluxes between nodes with account for transformation of the gas state vectors between moving coordinate systems. Integration of the gas-dynamic system of equations in both basic and local systems of coordinates is being performed by the explicit Runge-Kutta method. The proposed model was verified by comparing the gas flow-around of the stationary and moving particles while maintaining relative velocity of the incoming flow.

The software implementation of the presented algorithms based on the OpenCL parallel heterogeneous computing technology with the possibility of simultaneous usage of several GPUs for the calculation of the same task was performed.

The authors performed computations of the particles movement in the shock layer near the sphere surface flown around by the supersonic airflow with the Mach number of M = 6. The particle was being launched along the sphere axis of symmetry, as well as at an angle to it. Appearance of local zones of higher pressure and multiply strengthened heat flow on the sphere surface is being observed. Gas-dynamic interaction of a pair of particles in the shock layer, which started one after the other with a time interval between them, was simulated.

Having fallen into the supersonic wake region of the first particle, the second particle, moving under the action of aerodynamic drag force, moves away to a significantly smaller distance from the sphere surface than the first one.

The built computational model and the software, developed on its basis, provide wide opportunities for the numerical study of the gas-dynamic interaction of large particles with the shock layer.

When determining the flight safety of aircraft, one of the urgent tasks is to diagnose a possible violation of the tightness of compartments during operation. Mechanical damage to sealed compartments of aircraft can occur due to fatigue, wear, thermal load, creep of the material, shock load, elastic deformation, surface fatigue, radiation damage, erosion wear and other causes. Leakproofness tests during the preparation of aircraft for operation are not always able to determine microcracks or other design defects that lead to a violation of the tightness of the device during flight.

The article is devoted to the topical topic of diagnostics of the process of functioning of sealed compartments of aircraft with through microcracks. In the article, expressions are obtained that allow us to describe the patterns of changes in the leakage of the working medium through through cracks, depending on their changing geometry. An algorithm has been developed for constructing patterns of changes in the leakage of the working medium from sealed compartments in the presence of developing through cracks in their shells. Typical patterns of changes in the leakage of the working medium over time through through cracks are given. The results of calculating the time of depressurization of the compartment are presented, depending on the length of the through crack, the degree of its opening, as well as the free volume of the sealed compartment. The results presented in the article make it possible to more correctly diagnose failures of aircraft in flight operation.

In addition, the results obtained make it possible to solve the inverse problem for instrument and habitable compartments of spacecraft. Namely, having the data of telemetric information about the parameters of the gas state (pressure and temperature) inside the compartment and the change of these parameters over time, it becomes possible to diagnose the characteristics of micron densities in the conditions of orbital flight. This, in turn, makes it possible to estimate the time reserve for localization of leaks or to make a decision for an emergency landing of a manned spacecraft.

The proposed technique for diagnosing the tightness of aircraft during flight operation can be used to justify the requirements for sensors and pressure detectors in the hermetic compartments of aircraft and for the parameters of the system of reserve gas reserves. In case of emergency leaks during flight operation, it is possible, using the proposed methodology, to determine the remaining time reserve for eliminating the consequences of an accident, ensuring the safety of crew members or emergency landing on the Ground.

A combined rheological model has been proposed for viscoplastic working media that exhibit a non-monotonic dependence of viscosity on shear rate. This model assumes three typical behaviors in three adjacent ranges of shear rate variation. In the first range, the dependence of the shear stress on the shear rate is described by a linear function and characterized by a constant viscosity value. In the second and third shear rate ranges, this dependence is approximated by nonlinear functions describing dilatant and pseudoplastic behavior. On the basis of such a model, the solution to the steady flow of fluid in a cylindrical channel has been obtained. It is shown that three different flow patterns can be implemented depending on the level of pressure drop along the channel length. For each of the schemes inside the channel, characteristic zones of flow should be identified. In the case of the most complex third flow pattern inside the channel, four zones with different mechanical behavior of the fluid should be distinguished. In such a situation, the zone of plastic flow is formed in the central part of the channel in the vicinity of its fore-and-aft axis of symmetry. The next zone is characterized by shear flow with a constant viscosity value. Two more zones of nonlinear-viscous flow, in which the fluid exhibits dilatant and pseudoplastic behavior, are formed in the vicinity of the channel wall. Expressions for determining the boundaries of flow zones, and expressions for calculating the liquid velocity profile and the dependence of the volume flow on the pressure drop were obtained. The influence of the main parameters of the system under consideration on the velocity distribution characteristics and the dependence of the volumetric flow rate on the pressure drop over the channel length has been analyzed.

The unique physical and chemical properties of hydrogen and its practically unlimited resources on our planet in the composition of water make it possible to rely on hydrogen energy systems in the development of energy [1,2]. Industrial products, components and assemblies, structural elements, as a rule, operate in aggressive hydrogen-containing media (corrosive, erosive). Rain erosion damage, caused by repeated droplet impact on wind turbine blades, is a major cause for concern, even more so at offshore locations with larger blades and higher tip speeds. Hydrogen, penetrating into the metal of the product and being absorbed in it, changes the chemical composition, structure, and also redistributes the fields of internal stresses. These processes, generalized by the term «degradatio», prepare and stimulate the development of microdiscontinuities of various scales.

At the moment, despite intensive research, hydrogen degradation is still an unsolved problem of metal physics, theoretical and practical materials science. It is known that the maximum destructive effect of hydrogen is observed when hydrogen has maximum diffusion mobility and activity, that is, at the stage of unsteady diffusion. Moreover, as the author notes, destruction under the influence of diffusion-mobile hydrogen is little predictable and most dangerous due to the high diffusion mobility of hydrogen and the ability to redistribute under the influence of various physical fields, and there is also uncertainty about the magnitude of the critical concentration of hydrogen in the destruction zone. Since during the electrification of the working fluid, the surface of the working blades is exposed to electrophysical phenomena, conditions appear for increasing the absorption of hydrogen by metal, including in a diffusion-mobile form. These conclusions about the significant impact on the damage to the blades of the flood are consistent with the conclusions. Based on the above qualitative assessments of the process of the impact of a stream of wet steam with charged droplets on the blade material, it is obvious that the magnitude of the negative effect on electrical processes depends mainly on the magnitude of the ion current in the space of the flow part.

The article is devoted to the issue of ensuring the adequacy of the developed finite element models of oscillators to real samples of the spacecraft. In the computational and experimental method, the correction of KE models of dynamic systems minimizes the difference in values between the target characteristics of the real design and the computational model. The main stages of the method are:

1. Development of a low-frequency dynamic circuit and finite element models of oscillators.
2. Modal analysis of finite element models in order to determine the frequencies and forms of natural oscillations of oscillators.
3. Experimental studies, for example, by the method of free oscillations to determine the natural frequencies and attenuation decrements of the product, in which a dewatering system is used to reproduce conditions identical to flight conditions.
4. Verification of the adequacy of the developed finite element models to the test results. To do this, the model introduces additional reduced stiffness in the attachment points of the dewatering system.
5. Correction (if necessary, for example, if the discrepancies between the values of the target characteristics of the simulation and the test results exceed 10...15%) of finite element models of a dynamic system by converting the original stiffness matrix by adding members of the stiffness matrix of the correcting finite element model.
6. Refinement of the frequency spectrum of natural vibrations of the structure after the exclusion of elements of the dewatering system from the model.

The computational and experimental method of accounting for the dewatering system in the analysis of natural frequencies and waveforms allows us to obtain an adjusted model fully suitable for further development of spacecraft control algorithms on a system (dynamic circuit) as close as possible to the real one.

Using the example of two oscillators — a solar panel wing and a rod for carrying out scientific equipment — the article demonstrates practical and theoretical techniques for correcting finite element models using experimental research data.

Based on the results of the full-scale determination of the natural frequencies and vibration patterns of the structure, the correction of finite element models developed using the Femap with NX Nastran package was carried out, and the adequacy assessment (verification of the correspondence of the model to the real system) of the dynamic circuit of the spacecraft, taking into account the influence of the dewatering system. The achieved difference between the target characteristics of the real design and the calculated model was less than 9%.

The article considers the architecture of software-defined networks, their principle of operation, as well as the protocols for the interaction of the controller with network devices. The main components of traditional networks are investigated, including a comparative analysis of the time delays of telecommunications equipment of traditional and software-defined networks. There are 4 types of delay in modern data transmission networks: packet processing delay, packet delay in the queue, packet transmission delay along the line, propagation delay. The operation of the spanning tree algorithm is considered, its main advantages and disadvantages are highlighted. A comparative analysis of traditional and software-defined communication networks is carried out, the features of building corporate networks based on the SDN concept are considered. A network model was built in the Mininet emulator, in which an analytical assessment of the time delays of the SDN telecommunications equipment was carried out. As a result of the experiment and comparison of the obtained data, two different approaches to the network response to topology changes can be evaluated. The experiment showed that the traditional approach to building networks is vulnerable to changing the network topology, which introduces certain network delays and is the reason for the decrease in network performance.

The goal of this work is to determine requirements imposed on onboard navigation system for the radar that is to be placed on a small unmanned aerial vehicle and to work in stripmap side-looking synthetic aperture mode with linear frequency modulated continuous wave. To achieve this goal the methodology is proposed to investigate trajectory instabilities effects on radar image in continuous wave synthetic aperture radar. The same methodology can be used to obtain the estimates of onboard navigation system characteristics impact on radar image quality. These characteristics are: measurement accuracy of radar antenna system phase center coordinates and data sampling frequency. The proposed methodology is based upon the use of backprojection method to process a track signal obtained through direct simulation in the condition that there is only one point reflector on the illuminated scene. Quality of the amplitude radar image obtained this way can be estimated by objective criteria: main lobe width and side lobes relative level in the point reflector’s response. The results of the proposed methodology implementation are estimates used to choose the onboard navigation system for a specific radar. In this paper the cases were investigated where trajectory instabilities are absent, represent a constant value, a linear function, or a non-linear function (sinusoid). It is concluded that onboard navigation system data sampling frequency should be not less than track signal sampling frequency in slow time, and acceptable accuracy of coordinate measurement depends on expected intensity of trajectory instabilities. The practical value of the conducted work is in that the proposed methodology allowed to provide rationale for requirements imposed on the onboard navigation system characteristics.

The paper presents a description of a large-scale physical modeling of a data transmission channel in the ultrasonic range through a medium, designed to solve the problems of evaluating testing of ground-based tests of an end-to-end radar path of a spacecraft with a synthesized aperture antenna and ground-based equipment for digital processing and formation of radar images. As a subject of research, digital information packages are considered, formed from a color or monochrome image, sequentially transmitted through a distribution medium. The main elements of an ultrasonic data transmission system are similar to those used in radio data transmission channels.

The need to solve this problem is due to the shortcomings of mathematical modeling in the form of introduced restrictions and assumptions. Thus, the aim of the work is to develop algorithms, software modules for transmitting raster (amplitude, analog) images and clarifying the research methodology on an ultrasonic data transmission system, as an integral part of the laboratory layout of the end-to-end radar path of a spacecraft with a synthesized antenna aperture.

The proposed large-scale physical modeling is based on the principle of line-by-line formed from a raster image of digital information packets that are sequentially transmitted in the ultrasonic range. After receiving and digital processing by a software receiver, the information is restored in the form of an image matrix.

The result of the work is a developed laboratory setup in the form of an ultrasonic data transmission system, which makes it possible to obtain an assessment of the quality of transmitted information packets with bitmap images. The technique for studying the noise immunity of a digital ultrasonic data transmission line has been refined. Algorithms for digital signal processing and software for the ultrasonic data transmission system have been improved. The technical characteristics of the layout are experimentally determined and the limits of its change are specified. The values of the signal-to-noise ratio are determined, at which there are no failures during the transmission of a raster image with a size of about bits.

It is shown that the implemented model of the ultrasonic data transmission system can be used for image transmission when modeling the end-to-end information path of earth remote sensing systems. The visibility of the simulation results makes it possible to use the ultrasonic data transmission system in the educational process when studying the principles of construction and operation of data transmission systems and methods of programmatic signal reception and processing.

The next stage of the work will be the transfer of acoustic holograms obtained at the location acoustic complex, which will make it possible to form a hardware-software stand for modeling the radar channel of a spacecraft with a synthesized antenna aperture.

The research object in the article is air communication element: a communication system based on unmanned aerial vehicles, the relevance of which is justified in the previous works of the authors. However, despite the variety of related studies conducted, there are a fundamental questions number, without answering which it is impossible to understand the essence of creating a communication system based on unmanned aerial vehicles and determine its final purpose. So, on the one hand, unmanned aerial vehicles are an extremely important resource, in practice, which will always be in short supply. Therefore, talking about a full-fledged independent communication system based on unmanned aerial vehicles is very doubtful. On the other hand, there are very striking examples of the practical use of unmanned aerial vehicles as communications repeaters.

It is only clear that the main condition for creating a communication system based on unmanned aerial vehicles is its organic inclusion in the overall communication system. Given the above, the subject of research article are the principles of creating a communication system based on unmanned aerial vehicles.

Accordingly, the article purpose is to develop them based on a generalization of the existing backlog on known and promising technical and organizational and technical solutions in the field of communications.

In the interests of developing the principles, first of all, the general scientific method was used, which consists in systematizing the existing knowledge, as well as the universal method — the method of analysis.

The result of the work is a generalized list of principles for building a communication system based on unmanned aerial vehicles.

A number of principles are formed in the development of the previously existing ones. At the same time, new principles are proposed: reasonable self-sufficiency, current interaction and evolutionary creation, etc.

The developed principles can be used as the basis for practical work on building a communication system based on unmanned aerial vehicles and are the starting point for the formation of its technical appearance.

The article presents a study of a technique for correcting distortions in the radiation pattern parameters caused by the mutual effect of radiators, on the example of a rectangular active phased antenna array with the following number of radiators: 64 in the azimuthal plane, and 8 in the elevation plane. The authors considered the dependence of the main characteristics of the directional diagram on the beam deflection while electron scanning and the change in the strength of the electromagnetic field during the cosine-square amplitude distribution forming on the pedestal. The nature of the dependencies is determined and a technique is proposed for controlling the distortions of the characteristics occurring while the beam deflection. This technique realization will allow correcting the directional pattern, having distortions due to the changes in mutual effect of radiators, obtaining the required characteristics of active phased antenna array, and implement operation modes, which require keeping the antenna array parameters unchanged.

The following initial data is necessary when developing an algorithm: the number of rays, minimum scanning step, and the beam setting accuracy. As long as the result of this algorithm realization represents a data array, it is necessary to pay special attention account for the minimum memory size required for the initial data storage for the algorithm.

This technique realization allows correcting parameters of the directional pattern, which contains distortions due to changes in the mutual effect of radiators, to obtain the required the APAA characteristics. Its application allows employing the radar operating modes, which require keeping the antenna array parameters unchanged.

The design of interplanetary space missions is impossible without knowledge of the position of solar system objects and their dynamics. To determine the position and speed of an astronomical object at a specific point in time (on a specific date), special tables called ephemeris are used. Modern ephemerides are built on the basis of integrating rather complex equations of motion that take into account the gravitation of many bodies in the solar system, including large asteroids and trans-Neptunian objects, relativistic effects, perturbations from the dynamic compression of the Sun, mutual perturbations of the planets, the Sun and the Moon, etc. When building dynamic models ephemeris, data from radar observations of planets, laser observations of the Moon, data on the parameters of the movement of spacecraft during their approach to large planets, the results of interferometry with very long bases, etc. are used.

To date, one of the most accurate are the Ephemeris of Planets and Moon (EPM) ephemerides developed by the Institute of Applied Astronomy of the Russian Academy of Sciences (IPA) and the Development Ephemeris (DE) ephemeris of the NASA Jet Propulsion Laboratory (JPL). Various variants of the DE series ephemeris appeared in the 60s of the XX century, the EPM ephemeris began to be created in 1974.

The coordinate system used in a particular version of the ephemeris must be specified in the documentation. In most versions, the coordinates are as close as possible to the International Celestial Reference System (ICRS — International Celestial Reference System). The origin is the barycenter of the solar system. The X axis is directed to the vernal equinox at the J2000 epoch, the Z axis is perpendicular to the plane of the Earth’s equator, the Y axis completes the system to the right. The resulting coordinate system is independent of the Earth’s rotation. Units of measurement of coordinates are kilometers, measurements of time are days of barycentric coordinate time (TDB). The Julian day is used. Algorithms for converting a calendar date to a Julian day and vice versa can be found in.

There are quite a few tools that allow you to calculate the ephemeris data of astronomical objects, for example, online ephemeris services, as well as offline libraries. However, if the task is to use ephemeris in your own software, in which for some reason the use of third-party libraries is impossible or there are high performance requirements for subroutines working with ephemeris, which require specific code optimizations, you can use the text representation of ephemeris in the DE format available for free download from the IPA and NASA servers.

The article discusses the theoretical aspects of the substantiation of the ballistic structure of the cluster of small satellites. For the ballistic justification of the small satellites cluster, it is necessary to solve several interrelated tasks. First, it is necessary to justify the parameters of the orbits, the functioning of which would allow the cluster to successfully solve the target task. Secondly, after launching the small satellites into orbit, it is necessary to provide the required configuration in space, which is determined by the ballistic structure. Thirdly, due to the influence of disturbing factors acting on the small satellites while moving in orbits, the configuration will collapse over time. Therefore, the stable relative position of the small satellites in the cluster can be provided by the justification of the ballistic structure in orbits of the same radius and inclination. For the three small satellites as part of the formation implementing the tasks of radio monitoring by the difference-rangefinder method (DRM), acceptable performance indicators are achieved when the small satellites form an equilateral triangle during operation, since in this case the accuracy indicators of the DRM are optimal, while the on-board equipment also imposes restrictions on the formation in the form of minimum and maximum relative distances between satellites.

Over time, the triangle formed by three small satellites deforms, while the indicators of solving the target problem decrease.

Thus, the task is reduced to determining the set of parameters of the orbits of the small satellites cluster with a restriction on the relative position, which will ensure the maximum time functioning of three small satellites in the cluster of the required configuration.

The proposed approach to solving this problem is based on the decomposition of the problem of finding optimal parameters into two special cases, which make it possible to determine the range of acceptable variants of ballistic structures of the small satellites cluster and thereby significantly reduce the area of possible iteration when solving the optimization problem.

The analysis of the parameters of the small satellites orbits and the ballistic structures of the cluster makes it possible to ensure a stable relative position of the small satellites in space with the required periodicity. The results of solving the multiparametric problem of searching for a ballistic structure can be used at the stages of ballistic design of satellite systems consisting of clusters of small satellites.

The purpose of the study consists in developing a mathematical model, which allows evaluating the computational complexity of the original method of i the messages source identifying, which is based on forming the groups of messages and checking the condition of belonging to the target source for the entire group. An increase in reliability and decrease in computational complexity in the method under study is being achieved by assuming that the sequence of messages from the source to the receiver is maintained. This allows cutting down the number of messages involved in the group forming, and, accordingly, reduces the number of options for such groups’ formation.

To study the computational complexity of the algorithm for the groups of messages forming, the number of elementary operations for comparing hashes of such messages was studied, i.e. of the basic operation determining membership of a particular message to the structured set being formed. The length of the message hash, the number of interacting subjects of the distributed system, a number of messages in the group, as well as the parameter limiting the set of messages being analyzed, were the parameters of the model. The process of messages receipt to the receiver was represented as a linear dynamic process characterized in each discrete time instant by the probabilities of a certain number of messages receipt from the target source and all other sources of the distributed system.

The results obtained with this model allow asserting that the condition of warranty of the messages sequence, received by the device, does not change complexity of the message source detection. It stays linearly dependent on the length of the group of messages and a number of devices interacting in the framework of the system of devices. At the same time, in absolute numbers, the number of comparison operations is reduced by two orders of magnitude compared to the group forming method, which does not employ the stationary property of information flows between the distributed system components.

Today, the development of mobile applications is one of the most actively developing sectors of the IT industry. In this regard, there are many projects for the development of applications on mobile platforms.

Digital transformation in the aviation industry covers the production of aircraft, as well as passenger and cargo transportation. As for transportation, the work of airlines, airports, interaction with passengers, customers of cargo transportation, the functioning of a unified air traffic management system deserves special attention.

One of the technological trends actively developing today in terms of digitalization of the aviation industry is the development of mobile applications for aviation, including aircraft construction, air transportation and airport services.

Mobile applications provide significantly faster access to data and are an effective means of interaction regardless of the user’s location. For example, they provide quick access to technical information and direct data entry, optimizing engineering and production processes.

The classic version of mobile application development is native development, in which a separate application is developed for each operating system (OS), which is quite expensive and time—consuming. An alternative is a cross-platform technology, the main purpose of which is to provide developers with a tool for parallel creation of applications for multiple operating systems at the same time. This will allow them to write a single source code for several mobile platforms, but the result of each individual build will be separate executable files. Obviously, cross-platform development is needed to optimize the cost and speed of development, as well as application support. At the same time, the output result is no less qualitative than with native development. Currently, there are the following most popular cross-platform frameworks: Xamarin, React Native, Flutter, and NativeScript. They are very different and not in all situations will be equally useful (or even necessary in principle).

The article discusses the technology of developing cross-platform mobile applications Xamarin: the principles of developing cross-platform mobile applications using it are outlined, the main features provided to developers within this approach, its advantages and disadvantages are presented. A range of issues related to the design, implementation and testing of mobile applications is considered: the use of the MVVM architectural pattern, the XAML markup language to describe the user interface, a possible development environment.

A methodology for creating cross-platform mobile applications on the Xamarin platform is presented, containing a brief, consistent and comprehensive description of all stages of development.

This work is devoted to the study and analysis of currently used FPGA test systems and their system environment, developed by both domestic and foreign researchers. More than 30 test systems based on the use of: built-in self-test structures (BIST), specially designed systems and systems that partially or completely use the target firmware are considered. The systems in question were used to solve various tasks: FPGA input control, testing of internal interconnection resources, testing of individual cells and embedded IP cores, testing of the FPGA system environment (external connections of FPGAs and the power subsystem), analysis of electrical, dynamic and functional characteristics in various conditions, search for single failures and failures. The systems used in the study of microcircuits for resistance to laser exposure, the flow of charged particles (including studies within the Alice CERN project and studies conducted by both FPGA suppliers and third-party researchers to compare the characteristics of various FPGAs), the accumulated dose of radiation, elevated temperature and changes in supply voltage are considered. The systems and methods that are used to debug the FPGA-based system are also considered. Also in the list of test systems considered there are systems used as a demonstrator of the application of methods for analyzing energy consumption, dynamic characteristics, reliability and fault tolerance, as well as testing and developing systems based on FPGAs. The result of the work is a classification of the considered systems, an analysis of the advantages and disadvantages of the considered systems and proposals for the further development of FPGA test systems and their system environment.

The article describes a scientific and methodological approach that can be used in the development of intelligent decision support systems for operators of automated process control systems.

The proposed approach is based on the mathematical apparatus of dynamic Bayesian networks, as well as the basic concepts and relations of the theory of reliability and technical diagnostics of systems. The initial data are information about the algorithm of the system functioning and the course of the technological process, information about the reliability (structural and logical circuits, failure rates of elements) of technological equipment, as well as diagnostic models linking the types of technical conditions and diagnostic signs. It is proposed to use temporal connections (temporal logical-probabilistic dependencies) in a dynamic Bayesian network to simulate changes in the technical states of elements of technological equipment and describe the dynamics of the technological process. A posteriori conclusion allows combining heterogeneous initial information and incoming new data to obtain a comprehensive assessment of the progress of the technological process and the condition of technological equipment in order for the operator to make an informed decision on the continuation or suspension of the technological process, search for the causes of abnormal situations and the choice of proactive measures.

The implementation of this approach is given on the example of a decision support system for an operator of an automated control system for technological equipment of a booster refueling system, the peculiarity of which, when analyzing reliability, is the need to take into account elements with three incompatible states — operable, failure of the «break» type and failure of the «closure» type, affecting the course of the technological process in different ways. The variants of using the developed decision support system for the current control of the technological process, forecasting and retrospective analysis in the search for the causes of abnormal situations are shown.

The article is devoted to solving the important problem of evaluating the control efficiency of multi-satellite orbital systems. The article introduces definitions of an orbital system (OS), a multi-satellite OS (MS), and an control system of OS. The relevance of the problem of evaluating the control efficiency of MS by stochastic modeling is substantiated. Based on the principle of A.N.Kolmogorov, the MS control efficiency indicator has been identified and its mathematical model has been developed. The mathematical formulation of the problem of evaluating the control efficiency of MS, which consists in determining the efficiency coefficient of management, expressing the degree of achieving optimal efficiency at the current values of the controlled parameters, is realised. A model for evaluating the efficiency of MS management in the form of a continuous Markov chain has been developed. With the application of the developed model, the evaluation of the control efficiency of a perspective MS of remote sensing the Earth based on the Berkut spacecrafts, which is being developed within the framework of the Sphere program, has been carried out. The dependences of the control efficiency on the quality indicators of the control system for solving various remote sensing tasks has been obtained. The developed model can be used at the stage of development of methods, techniques and algorithms of MS control for their elaboration, verification, calibration, optimization, evaluation of the impact of their quality indicators on the control efficiency of MS, and also for justification of requirements for them and confirmation of compliance with the declared requirements.

Efficiency of aviation engine mathematical model (EMM) application at various stages of the engine creation substantially depends on accuracy and «physical» descriptions of working procedure in air-gas channels of the engine and its units.

As now the course of creation of the aviation gas turbine engine (GTE) and the aircraft works can depend on reliability of the engine parameters and performances estimation, increase of EMM accuracy is rather important problem. One of the most significant components of the gas turbine engine mathematical model accuracy is accuracy of the basic engine units’ performances; in particular, elements of the compression group (fans and compressors).

In article features of the assignment of compressor performance with air extraction from its air-gas channel in gas turbine engine mathematical model are considered. It is shown that the distributed air extraction can lead to appreciable compressor performances exfoliation, especially to its part located behind a place of extraction; it is necessary to consider at the aviation gas turbine engine parameters computation.

For this purpose the relative extracted air flow, and also part of the compressor work from enter to an air extraction place are defined. These parameters allow calculating the physical air flow, enthalpy and temperature of extracted air.

As show results of the numerous experiment-calculated researches, now widely used simplified technique of air compressor extracted air enthalpy definition can lead to considerable errors in GTE parameters calculation.

The main reason of wrong calculation aviation GTE parameters is discrepancy of methodical approaches to independent estimated and/or experimental definition of units’ performance to how this performance is used in engine mathematical model.

That correctly to use the performance of engine units (for example, compressor cascades) in integrated engine mathematical model, it is necessary to know, how they were characterization and that is understood as value of this or that experimentally received parameters have been received.

Techniques of the compressors’ cascades tests results handling for its characterization, calculation of the air extractions’ parameters, and also the turbine power for a drive of the considered compressors’ cascade in core and gas turbine engine system are presented.

The development of space manipulation systems is directly related with obvious expansion of the possible range of work and operations that can be carried out in difficult and dangerous conditions with technical orbital objects and equipment installed on them. By now, the main construction option used has developed — a hinge-type manipulation system of different degrees of complexity.

Modern manipulators must be carried out with condition of maintaining stability of elements. Taking into account the priority of influence of the root link on stability of the manipulator as a whole, it is proposed to investigate the equilibrium positions of the rod for stability at a range of deviations π < φ < π. Criterion of stability of equilibrium position for systems with holonomic and stationary constraints located in conservative force field is determined by Lagrange-Dirichlet theorem: According to the theorem equilibrium positions of a conservative system in which its potential energy has minimum are stable. The results of the study of stability by taking into account angle of inclination of the link are determined by the dependence between the angle of inclination φ and the dimensionless force λ. The formation of the real appearance of a service multi-link manipulator for use in space conditions should be carried out on the basis of taking into account functional tasks and the available database on specifics of creation and use of existing devices. The studies carried out to date indicate that, along with geometric interpretation, which provides an assessment of the initial structure and approximate dimensions of the manipulator elements, it is necessary to analyze the operational loads that determine stability of circuit elements. Obviously, the actual dimensions of the manipulators will be determined by motion parameters (for example, angle of rotation) of hinge elements. The calculations performed show that to a large extent the condition and, consequently, the operability of the root link are determined by the axial load. The proposed studies allow us to assess the danger of such a load and give recommendations on the design of the manipulator, taking into account the properties of the elastic hinge and the size of the links. This will prevent monotonous departure from the considered equilibrium positions or fluctuations increasing in scope over time.

It was noted that the problem of reference system selection at relative motion of the objects of commensurable mass is of particular relevance while interplanetary flights at a considerable distance from the planets. For the same inert objects moving relative to each other, different coordinate systems give completely different total kinetic energies of objects. In this sense, it impossible to recognize them as equivalent. It is obvious that none of these coordinate systems can be considered as absolute. Only the system which selection completely eliminates arbitrariness, can be considered as the absolute system of cordinates. This requirement is met by a system in which the total kinetic energy of objects is minimal. The absolute coordinate system coincides with the center of mass of the objects and with the epicenter of their hypothetical repulsion from the state (hypothetical as well) of mutual immobility. After a hypothetical repulsion, the velocities of objects relative to the center of mass acquire the same values as in the absolute coordinate system. Along with a wide variety of reference systems at the mutual motion of unaccelerated objects, including those associated with these objects (these reference systems can be considered relative), there is one absolute reference system associated with the center of mass of the objects under consideration. The considered repulsions of objects are calculated and may have nothing to do with reality. The number of objects while the absolute coordinate system definition is not limited by anything. It may be both two objects and a star system.

The paper considers the motion of a rigid body under the action of a control moment, formation of which is carried out in various ways and meets the specific control goals. The main properties of the collinear control and its modified version are discussed, which lead to an increase or decrease in both kinetic energy and kinetic momentum, and as a result they allow overclocking or braking of a rigid body. Orthogonal control is also considered, which does not violate the constancy of kinetic energy and kinetic momentum and leads to a reorientation of the rigid body in space. In addition, combined control options are constructed, which have the features of both collinear and orthogonal controls in their structure. First control option allows dissipating or accumulating kinetic energy at a constant kinetic moment, and the second option, on the contrary, leads to a decrease or increase in the kinetic moment at a constant kinetic energy. Such controls can be interpreted as rational, since they are efficient, have a fairly simple structure, and are convenient for practical implementation. Moreover, physical analogies are given for the constructed control options, which make it possible to correlate their action with inertia forces, dissipative forces of external and internal friction, as well as gyroscopic forces. Based on various methods, exact analytical solutions are constructed for the mentioned modes, and these solutions describe the process of controlled motion of a rigid body and demonstrate its properties. The results obtained in the work are not only of fundamental theoretical significance, but can also be used in solving applied problems of rigid body dynamics.

The space debris shredding safety system is a fundamental system in the processing of space debris into fuel directly in orbit. This study is devoted to the possibility of testing the technology for processing metallized debris on Earth, as well as the development of the concept of a safety system for shredding space debris. In the wreckage of the stages of rockets, propellant vapors remain, which, if crushed, can provoke an explosion.

The main problem of the article is the development of the concept of a safety system for shredding space debris directly in orbit.

The purpose of this work is to consider ground tests of the technology for processing metallized space debris into fuel.

The relevance of this work lies in the concept of a safety system for shredding space debris directly in orbit.

The most important source of non-fragmentation debris was more than 2,460 firings of solid rocket motors, which released aluminum oxide (Al₂O₃) in the form of micrometer dust and slag particles ranging in size from mm to cm.

The main cause of in-orbit explosions is due to residual fuel that remains in tanks or fuel lines, or other leftover energy sources that remain on board after a rocket or satellite stage has been dropped into Earth orbit.

These fragmentation events are thought to have generated a population of objects larger than 1 cm, numbering on the order of 900,000. The sporadic flux from natural meteoroids can only dominate the flux from human-made objects near sizes of 0.1-1 mm.

The composite materials is a new invention of the material combination which can be used in the aircraft industry. The main purpose of the invention is to have the lightweight structure and anti-corrosion effect with better strength. This type of materials is hybrid because of the combination of the metal and fiberglass. The new characteristic of this hybrid material is a combination of each advantage of aluminum, steel and fiberglass. Based on previous studies, the manufacturing of aluminum-fiberglass based material must follow the concept of interlaminar for the better bonding. This work is devoted to the study of the effect of rolled products in aluminum layers of alumina-glass-reinforced plastic. In particular, the study of static and dynamic properties along and across rolled products was carried out. Aluminum alloys are the most common materials used in the aviation and space industry. These alloys have a relatively high specific strength and a lower density than steels. Consistent optimization of the design of aircraft elements in terms of reducing their weight and the simultaneous fulfillment of specified strength requirements has led to the emergence of metal-polymer composite materials. These materials have a number of advantages over aluminum alloys: lighter weight, higher specific strength, crack resistance. Aluminum fiberglass plastics developed in Russia in the Russian-language literature are called SIAL. Over the past few years, a large number of works have been devoted to the study of materials of this type including in relation to the modeling of large parts of aircraft structural elements. This material consists of alternating layers of aluminum alloys and fiberglass reinforced epoxy. A composite of this type is a promising, improved material with improved specific strength, damage resistance, impact resistance, and fatigue strength. Formed from several layers of aluminum alloy sheet and layers of glass-fiber-reinforced glass-fiber-reinforced-polymer (GFRP), alumino-glass-reinforced plastic behaves like an elastic-plastic material primarily due to the presence of layers of aluminum alloys, and its complex failure mechanisms are determined by its composite structure.

Currently, elements of structures made of polymer composite materials (PCM) are becoming increasingly important, which have a number of advantages: high specific stiffness and strength, low specific gravity, high wear resistance and fatigue resistance, as well as the ability to create unique mechanical properties depending on the requirements for the finished product, etc. With the above advantages, PCM products also have disadvantages, which include their sensitivity to damage.

To prove that the strength characteristics of PCM structures meet the certification requirements, it is necessary to carry out computational, theoretical and experimental work according to methods that allow us to show that the designed structural elements from PCM fully meet the requirements.

Such elements can be large-sized aggregates (wing and tail panels, center section panels, forkill, wing spars, stabilizer and keel), or they can be quite compact (fairings, fairing, nacelles, structural elements of mechanization).

Traditional structural metal materials, due to their stable characteristics, the duration of the period of preservation of mechanical and technological properties, provide the specified strength characteristics of the aviation structure. The level of safety provided by the PCM construction should not be lower than the level of safety provided by the metal construction.

In the work, studies were carried out to assess the impact of internal defects (damages) of the type of bundles of various sizes and locations in layered elements of structures made of polymer composite materials (PCM): a cylindrical reinforced shell, a reinforced cylindrical panel, a rectangular reinforced plate.

A technique is proposed for modeling structural elements made of PCM with defects of the type of bundles under the action of dynamic loads of various nature.

The subject of the study of the presented article consists in determining conditions of the moment of a crack nucleation at the stretching of the plane sample from the compressible material under conditions of the plane deformation.

The purpose of this study is studying the process of stretching a flat sample made from compressible material with a continuous displacement velocities field under the plain strain conditions. The material compressibility associated with the mass conservation law, which is formulated in the form of the equation of continuity, leads to a density change while loading process, in accordance with which the logarithm of the material derivative of density in time is being added to the system of equations defining the displacement velocity field. This system is being converted to a system of inhomogeneous wave equations.

The following methods were applied while this research conducting. They are:

— Analytical method for the velocity and deformations field determining;

— Averaging method for obtaining the mean value of the auxiliary function on the sphere;

— Method of descent for transition from the sphere surface integration to the circle integration.

In the course of the studies, an intermediate result, namely the general solution of the system of wave equations for the velocities field determining, was obtained.

The results of the study can be applied while mathematical models developing of the behavior of real structures’ elements in the problems of modern mechanical engineering and construction, as well as in assessing their strength.

Currently, many tasks of space exploration use ion engines, including high-frequency ion thrusters. At the same time, special attention is paid to the terms of active engine operation. In the design of a ion thruster, the ion beam is extracted from the discharge plasma and accelerated using an electrode system operating on the principle of electrostatic lenses. The accelerating electrode of such system is subject to erosion due to bombardment with exchange ions. Electrode damage results in engine performance change for two reasons. Changing the electrode configuration worsens the characteristics of the ion beam and also the sprayed electrode material penetrates the discharge chamber and settles on its walls, changing the discharge characteristics. Extensive theoretical and experimental studies have been devoted to the erosion of the accelerating electrode itself, while the problem of deposition of sprayed material on the walls of the gas discharge chamber has not been practically investigated.

This paper proposes a physical and mathematical model for depositing sputtered atoms of accelerating electrode material on the walls of a gas discharge chamber of a high-frequency ion engine. Two-dimensional model of spatial sputtering of accelerating electrode surface by exchange ions and interaction of sputtered material atoms with primary beam ions is considered. Possible ranges of emission angles of sprayed atoms penetrating inside the discharge chamber through the holes of the emission electrode are estimated.

Based on the created model, calculation of the accelerating electrode erosion of the two-electrode ion-optical system with the accelerating electrode from molybdenum was carried out. In the first approximation, the penetration of sprayed molybdenum atoms into the plasma of the discharge chamber was simulated. An estimate of the distribution of polluting atoms over the conditional model surface was obtained. Quantitative estimates of surface contamination rate have been made.

The developed physical and mathematical model of processes will allow in the future to create an engineering methodology for calculating the dynamics of deposition of sprayed material on the walls of the gas discharge chamber of a high-frequency ion engine. The use of such a technique will reduce the time of life tests and better predict the change in engine performance for long service life.

A method for threaded parts surface hardening is being widely employed to the fatigue strength increase. Maximal result of its application is being achieved under conditions stresses concentration with regard for the fact that destruction occurs as a rule in the places of prismatic shape violation. Thus, establishing a qualitative and quantitative relationship between static stresses and fatigue resistance of threaded parts is highly up-to-date task.

A large group of parts in assemblies and structures has stress concentrators in the form of threads. Threaded joints are highly loaded elements, which operation defines the strength and reliability of the structure as a whole. The strength of threaded parts operating under conditions of an asymmetric cycle, which average stresses are stipulated by the tightening force, depends mainly on the tensile working stresses, as well as on the strengthening treatment. In this regard, development of the technique for determining the endurance limit of the threaded part by the known residual stress diagrams as well as average stresses of the cycle using the linear elastic fracture mechanics provisions presents interest.

Based on the foregoing, the object of the study in this work is high-cycle fatigue, and the subject of study is threaded parts with residual stresses.

The purpose of the study consists in developing a technique for predicting the fatigue resistance of the threaded parts by developing a technique for assessing the relationship between the stress intensity factor (SIF) and high-cycle fatigue characteristics.

Using the graphs of the distribution of residual stresses in the cavities of threaded parts as the initial data, the nature of the SIF dependence on maximum stresses of the cycle of a hardened threaded part was determined in the work. The graph can be presented in the form of the three sections. The first section corresponds to the state when the crack edges are completely pressed against each other, that is, the fatigue crack does not open, despite the presence of cycle tensile stresses. The second section corresponds to the state when the crack opens from the inside, while the sides of the crack remain closed. The third section represents a straight line running parallel to the similar dependence of the non-hardened thread and corresponds to the scheme when the crack is fully opened. The starting point of the third section of the graph corresponds to the maximum stress.

It was found from the calculations that the criterion for the most optimal technological mode of thread manufacturing with creation herewith of a compressive residual stresses field is the stress of the transition point of the second section into the straight third section. Starting from this point, the fatigue crack opens completely.

The proposed technique for predicting the fatigue resistance of threaded parts from the standpoint of linear fracture mechanics allows predicting maximum amplitude of the cycle.

The problem of article is the developing the V.P. Shorin’s load variation method for solving the problem of determining the own dynamic characteristics of a hydraulic pump as a vibrations source of the working medium. The method consists in calculating the pumps dynamic characteristics (considered by models of equivalent oscillation sources) while changing the bench systems behind the pump, registering pressure pulsations and converting into the own pump characteristics by V.P. Shorin’s models of equivalent oscillation sources. In known works, dynamic models of bench systems, as a rule, are idealized, either do not take into account all the elements of bench systems, or implement a limited set of bench systems (such as «acoustically open end», «acoustically closed end», etc.). While calculating the dynamic characteristics of bench systems, we propose to use information about the design and geometric dimensions of the systems flow part. The article summarizes the main aspects of calculating the bench systems dynamic characteristics, their hydrodynamic schemes describing the influence of both cavities, throttles and main lines, and connecting fittings, adapters and the units’ internal channels are presented. The work aims to create special bench systems with known dynamic characteristics in order to solve the problem of determining the own dynamic characteristics of a hydraulic pump. The developed models of bench systems with a throttle, a cavity, a «short» and an extended pipeline at the pump outlet, when used in the load variation method, will make it possible to calculate the pulsating state of the working medium behind the hydraulic pump both in the hydraulic systems of machine tools and in the fuel systems of a gas turbine engine at the early stages of design. The results of the work can be important for engineers and designers of hydraulic systems, because they contain specific formulas and recommendations on how to use them.

A circular cylindrical shell of constant thickness is considered, the side surface of which is affected by non-stationary load. The shell material has symmetry with respect to the median surface, is linearly elastic, orthotropic. The motion is described in a cylindrical coordinate system associated with the axis of the cylindrical shell. The mathematical model of the object under consideration is described using the Kirchhoff — Love hypotheses. Fundamental solutions (Green’s functions, influence functions) are constructed for a cylindrical shell of great length, as well as a cylindrical shell pivotally supported at the ends. The Green function for an orthotropic shell is a solution to the problem of the effect of an instantaneous concentrated load on the shell, modeled by the Dirac delta function. To find the influence function in the case of an unlimited cylindrical shell, expansions into exponential Fourier series in angular coordinate, the integral Laplace transform in time and the integral Fourier transform in longitudinal coordinate are used. The inverse integral Laplace transform is being performed analytically, and the original integral Fourier transform is being found using numerical methods for integrating rapidly oscillating functions. In the case of a limited cylindrical shell, expansion into double trigonometric Fourier series in the angular and longitudinal coordinates is applied, as well as the integral Laplace transform in time. The inverse integral Laplace transform in this case is performed analytically. Verification of fundamental solutions has been carried out. Examples of calculations are given. The results are presented in the form of graphs.

A new numerical-analytical fundamental solution of the dynamic problem of elasticity theory for an orthotropic elastic thin unlimited cylindrical shell is obtained, as well as an analytical fundamental solution in the case of a limited Kirchhoff-Love shell. The convergence of the solution is established. To demonstrate the realism of the constructed functions, examples of calculations for one variant of the symmetry of an elastic medium are presented. The nature of the movement of non-stationary perturbations allowed us to evaluate solutions.

Fundamental solutions open up opportunities for solving new contact and inverse problems of load identification, allow performing applied research on calculating the stress and strain levels of orthotropic shells.

To calculate dependability measures for developed dropped cargo landing systems with dampers we usually use statistics from similar models and mathematical statistical modelling of landing process. In this article we describe the mathematical model of dynamics landing process for cargo dropped systems with dampers we developed for its further using in statistical modelling.

This mathematical model considers all the phases of dynamic landing process — from the phase when air dampers start resisting to the phase of system stopping — and is able to indicate typical failures like excessive acceleration and system overturn. It should also be appropriate from time cost point of view.

Analysis of sources shows that existing models are not appropriate for the considered task: almost all of them consider only the dampers resisting phase; in case of finite-element models solutions it is not appropriate according to the time cost.

A rigid body with dampers dropped to the rigid landing area (plane) is consided. The body is freely located in 3D space in the beginning of the process as well as the plane. We use dynamic equations of forces and moments equilibrium in 3D space with reactions from dampers and the plane. The body and the plane interaction realizes with contact algorithm. To solve the equations numerical simulation with finite-difference schemes is used.

There are two tasks presented to demonstrate how the developed model works. The first task considers the translational motion of the dropped body with dampers. The second one — complex body movement. As the considered equation system is closed the algorithm we developed has benefits related to the existing solutions from the point of view of time cost. Thus, the dynamic landing model we developed is appropriate for statistical modelling tasks.

To accurately assess the channel resource and determine the maximum signal attenuation in a complex electromagnetic environment, the article describes a technique that allows calculating the probabilistic-temporal characteristics of a radio channel with high accuracy and reliable forecasting. As the main characteristics of a radio channel in a complex electromagnetic environment, the article considers the probabilities of bit and character errors affecting the reliability of signal reception.

The article presents a mathematically correct method for calculating the probabilities of symbolic and bit errors of coherent optimal character-by-character reception of a radio signal with QPSK modulation in the presence of interference with linear frequency modulation inside the symbol.

The basis of the technique is the representation of a four-dimensional probability measure of the vector of output voltages of the correlation channels of the receiving device in the space of the eigenvectors of the covariance matrix of this vector. The results of the article are necessary to calculate the influence of interference in a connected radio channel, when finding the probabilities of symbolic and bit errors. The calculation method is integrated into the energy calculation algorithm of the transmission channel in the presence of interference with LFM modulation.

The developed technique of the influence of frequency-scanning interference on the reliability of receiving a signal with QPSK modulation makes it possible to accurately determine the probability of symbolic and bit errors at given values of the level and deviation of the interference frequency.

The results obtained show that the curves of the average probabilities of symbolic and bit errors have a threshold character. The presence of interference with linear frequency modulation significantly degrades the quality of the communication channel, completely disrupting the reception of information at the values of the interference level when the interference level exceeds the signal level. The extension of the graphs to the region of zero signal value at zero and non-zero interference value shows that the average probability of a symbolic error is 0.75. In the same case, the probability of a bit error is 0.5.

It is determined that the phase-averaged interference probabilities of correct reception, and, consequently, errors in receiving signal positions in the presence of interference with LFM modulation, are the same, which allows the calculation of the transmission channel to be limited to using as an average the probability of receiving one signal position.

The article discusses the main technologies and standards for wireless data transmission, provides an overview and comparative analysis of short-range wireless technologies («last 100 meters» technology), and also discloses some technical characteristics. The advantages and disadvantages are shown. For the analysis of near-radius technologies, a method for comparing parameters was chosen based on information from domestic and foreign literature, scientific articles and publications. The analysis contributes to the selection of the most optimal wireless data transmission standard for organizing an efficient near-range network aimed at solving the main problem of Internet of Things devices — ensuring the secure connection of a large number of devices with limited power deployed over a wide area and meeting the performance criteria of the Internet of Things.

Currently, short-range wireless communication is based mainly on Bluetooth, UWB, ZigBee and Wi-Fi standards, which are based on IEEE 802.15.1, 802.15.3, 802.15.4 and 802.11a/b/g/ah standards, respectively. The specified IEEE standards define physical (PHY) and MAC levels for wireless communication in a range of about 10-100 meters.

Based on the review, it can be concluded that 802.11ah is the most promising next-generation Wi-Fi technology for large-scale applications of the Internet of Things with low power consumption, which combines support for high data transfer rates over long distances, low power consumption, low latency, and thanks to built-in mechanisms such as RAW, TWT and TIM, significantly reduces collisions when accessing the channel, and also provides the required QoS.

It is also important to note that wireless technologies are changing rapidly following the needs of the Internet of Things market and it is recommended to monitor updates to existing standards and technologies, as well as the emergence of new short-range technologies.

The requirements for power consumption of devices, data transmission security, high network fault tolerance, the ability of devices to withstand radio interference and ease of connection remain unchanged.

The article is solving the problem of the bit error probability computing of the optimal character-by-character coherent reception of the opposite phase-manipulated signals (BPSK signals) at the presence of the inadvertent narrowband noise interference. The article considers the Gaussian noise interference with uniform spectrum limited by the frequency band and arbitrary power, entering the pass band of the BPSK signals receiver. Application of the receiver based on either correlator or matched filter tuned to the signal being considered under conditions of the intrinsic noise of the receiver presence only is being understood to in the article as the optimal receiving of the opposite phase-manipulated signals (BPSK signals). Analytical expressions were derived and a technique for computing the bit error probability of the optimal character-by-character coherent receiving of BPSK signals with the presence of both intrinsic receiver noises and narrow band noise interference. The well-known expressions, being used for the probability estimation of the bit errors of the optimal character-by-character coherent reception of the BPSK signals against the background of the white Gaussian noise, form the basis of the obtained relationships. Based on the obtained results, the basic inferences were formulated ,and asymptotic probability estimations of the bit error of the optimal coherent BPSK signals reception at the presence of both intrinsic noise of the receiver and narrow band noise interference for the uttermost narrow band and wide band Gaussian interference were obtained. The article demonstrates the presence of the narrow bane noise interference, which spectrum overlaps the BPSK signal spectrum leads to the noise immunity degradation of the information radio-transmission channel, and the degree of the noise immunity degradation herewith depends drastically on both power, spectrum width and this interference place of location in the BPSK signal spectrum.

The article deals with the task of modeling differential errors of target tracking by the onboard radar and optoelectronic stations of navigation and weapon-aiming complexes of aircraft in the interests of studying their accuracy characteristics. The presented work employs simulation model, developed for obtaining statistical estimation of the onboard high-precision target tracking systems based on employing well-known noise characteristics of reference measuring means and tracking channels of target tracking systems under study. The article demonstrates that the misalignment between the aircraft radar and optoelectronic stations leads to the shift occurrence in the differential error of the target tracking. The law of the shift in the differential error changing of the target tracking is similar to the misalignment error changing. This may be used for the error value evaluation and its program minimization.

The article «Software complex of algorithms for autonomous determination of the angular orientation parameters of unmanned aerial vehicles» by P.G.Ermakov and A.A.Gogolev compares three approaches used for an Attitude and Heading Reference System (AHRS), namely Mahony, Madgwick and Complementary filters.

For attitude determination on UAV’s board widely used a magnetic and inertial measurement unit (MIMU). MIMU consists of a 3-axis MEMS gyroscope, accelerometer and magnetometer. The accelerometer measures the acceleration of a UAV, the gyrosocope measures the angular rate of a moving object, and the magnetometer measures the Earth’s magnetic field.

So, Mahony uses a proportional and integral controller to correct the gyroscope bias, Madgwick uses the gradient-descent algorithm. Both approaches use a quaternion representation, which a four-dimensional complex number representing the orientation of an object. A Complementary filter is proposed that combines accelerometer output for low frequency attitude estimation with integrated gyroscope output for high frequency estimation. Madgwick obtains better heading orientation than Mahony and Complementary AHRS approach in respect of the root mean square error (RMSE) of the Euler angles when compared to the motion capture system.

The article conducts the studies of characteristics of the promising control and longitudinal motion stabilization system of a dynamic object, such as a small-sized aircraft (SSA), based on the technique of the adaptive signal formation [1, 2].

The study of the control method being considered was conducted by the mathematical modeling method of an isolated pitch channel with implementation of the proposed SSA control laws at rather characteristic external impacts on it. Simulation was being performed under conditions of changes by the given “slow motions” law [3] of the flight parameters such as altitude and velocity.

Comparison of the control processes of the SSA with the system being proposed and control processes with the conventional proportional-differential control technique [4] adapted to the given situation in [5, 6, 7] was performed to evaluate the effectiveness of the newly introduced control specifics.

The relevance of the presented work consists in the fact that the velocity increase being achieved by the proposed technique, overshoot degree reduction and, correspondingly, increasing the control signals processing accuracy may contribute to the SSA maneuvering and controllability characteristics improvement.

As part of the ADCS of CubeSat LEO satellites magnetic control systems have become the most widespread. The magnetic control system, as a rule, magnetorquers that create control momentum and magnetometers. Magnetometers are used in this system to determine the direction and magnitude of the Earth’s magnetic field intensity vector. To reduce the cost of creating a CubeSat spacecraft, it is common practice to use household digital magnetometers. These devices are characterized by low accuracy due to the lack of calibration of the zero offset and mutual orthogonality of the measurement axes of the device.

Thus, the task of developing an algorithm and software implementing it for calibration of magnetometers become very important.

The algorithm considered in the paper is based on the processing of measurements of a 3-axis magnetometer on Earth, after their transmission from the spacecraft. The processing consists in searching by the method of configurations minimum of the functional, as a result of which the values of the calibration parameters are determined. The value of the functional is determined as a result of numerical simulation of the spacecraft flight and determination of the calculated value of the Earth’s magnetic induction vector, followed by comparison with the transformed measured induction vector of the Earth’s field.

The practical application of the algorithm is considered on the example of the «DEKART» spacecraft launched as part of the UniverSat program on September 28, 2020 at 14:20 (Moscow time) from the Plesetsk cosmodrome. «DEKART» CubeSat spacecraft was developed and assembled at the D.V. Skobeltsyn Research Institute of Nuclear Physics of Moscow State University.

The work relates to the field of accelerator technology and is devoted to improving the control system of an electrodynamic linear accelerator of dusty charged particles. The existing accelerator is used to simulate the factors of the space environment and makes it possible to study the effect of high-speed micron-sized particles on the elements of the surface of the spacecraft under conditions close to real. However, this accelerator has a complex control system that requires the operator to control a large number of parameters in real time and to constantly adjust during the experiment. The need to measure physical quantities and calculate particle parameters, as well as manual control, increase the error in the formation of accelerating pulses in the dynamic section, which leads to inefficient particle acceleration or the loss of most of them.

The article proposes a new method for controlling a dynamic accelerator, the basis of which is a method for determining the parameters of a particle, which makes it possible to refuse any measurements other than time-of-flight, made in an improved measuring section. The structure of the measurement section is presented in the article, while it is clear that minor changes are required in the already existing design of the accelerator. A control system has been developed that allows, according to data from time-of-flight sensors, to automatically control the dynamic section of the accelerator with high accuracy. This is achieved, among other things, by refusing to use memory banks with pre-calculated voltage switching times on the drift tubes. In the new control system, the calculation of the particle position and its instantaneous velocity occurs in real time, since the calculation of the particle's specific charge is no longer required. Knowing the position of the particle in the path allows timely switching of the voltage on the drift tubes while the particle is inside them.

The proposed method for determining the particle parameters and the control system have a calculation error associated with the discreteness of the measured time intervals. An analysis of the error and its influence on the acceleration process was carried out, from which it is clear that the system allows particles to be accelerated in a wide range of specific charges, and the maximum deviation of the particle coordinate when switching the voltage on the drift tubes does not cause it to leave the fieldless space of the drift tube. In addition, the system has a margin of accuracy, since the simulation was carried out for the existing accelerator design and an increase in the frequency of time-of-flight sensors and a computer is not required, although this is possible if necessary.

Thus, the proposed method for controlling a dynamic accelerator makes it possible to automate the process of conducting experiments and increase the efficiency of particle acceleration in an extended range of charges, masses, and initial velocities, and also makes it possible to increase the number of accelerating sections, thereby increasing the equivalent accelerating voltage of the system.

The an aircraft gas turbine engine (GTE) of aircraft from the point of view of control theory is a complex nonlinear object, the frame mathematical description of which is known a priori, has one input and several outputs. When operating a gas turbine engine, continuous monitoring of parameters is required (gas temperature behind the combustion chamber, rotor speed of the low-pressure compressor (free turbine), rotor speed of the high-pressure turbocharger (gas generator). The selective controller controls these parameters, realizing control in different modes of operation of the gas turbine engine. Further The development of GTE control can be associated with the use of neuro-fuzzy control of the oxidizer flow into the GTE combustion chamber. Purpose: improving the control of the combustion process in the combustion chamber of the gas turbine engine. Methods: a new approach to designing an adaptive state controller based on neuro-fuzzy technology using triangular terms with equal bases equal to the interval 0–1, whose vertices are shifted according to the arithmetic mean of the path traveled by the input variables, is proposed. Determination of the degree of membership is performed by singletons, synchronously shifting depending on the change in input parameters using proportions. On the basis of the proposed approach to designing an adaptive state controller with an oxidizer flow, the relationship between the input parameters of the combustion chamber and the development of the control control with maximum speed is estimated using the area ratio method or the weighted average method. The idea of the experiment, using the designed state controller, is to estimate the temperature change behind the combustion chamber, which should not leave the specified zone. Results: the developed adaptive state controller is characterized by the best values of the probability of non-failure operation during the experiment. Practical relevance: the research results can be used in the control of the combustion chamber. This can significantly reduce the uncertainty in the operation of the combustion chamber, ensuring a minimum release of harmful substances and guaranteed thrust of the aircraft.

The technology of low-temperature co-fired ceramics (LTCC) is considered. This technology provides an inexpensive solution in the mass production of electronic devices in the field of telecommunications, medicine, automotive technology, military equipment, aerospace and other industries.

In the process of implementing LTCC technology, difficulties were identified associated with the influence of a large number of parameters depending on the components used, the time of use and configuration of equipment at each stage of production on the quality of products.

The parameters of technological operations (TO) are highlighted, grouping is made according to the characteristics of parameters: resource, process, result, control and management.

In real life, there is no system that would collect all of the above parameters together, compare them and give recommendations for improving quality.

In this paper, a method for creating, describing and modeling parameters in the form of information support based on a structural parametric description (SPO) according to regulatory documentation is proposed to improve the quality of production of microwave components.

Based on this classification, workplace models are built, and the data is aggregated into the MS Access database management System (DBMS).

Since Access has a number of disadvantages and is not, in fact, a full-fledged database, technologies were considered as a DBMS ADO.NET from Microsoft (the Sharp C language framework) and the Qt SQLite framework (in C++).

ADO.NET manages both internal data (created in computer memory and used inside the application), and external, located outside the application — for example, in a database or text files.

The Qt framework contains a universal interface for working with various databases. Databases in the Qt view are drivers for the QtSql module. By default, when installing the framework, the SQLite database is available, for the rest of the databases, installation and assembly of drivers for Qt is required.

A comparative analysis of these databases has been carried out, on the basis of which it can be assumed that the SQLite DBMS is suitable for prototyping at the initial stage and cross-platform applications, and the DBMS ADO.NET it is more complex, but more promising in terms of commercial use.

The presented work is devoted to describing the multiprocessor software complex ASRP (Assembly Simulation of Riveting Process), being developed as part of a joint project of Peter the Great St. Petersburg Polytechnic University and the AIRBUS SAS. This complex is meant for simulating and optimizing the aircraft assembly process, with account for the fact that aircraft building places rather strict requirements to the parts assembly quality due to high operational loads. The authors propose employing in the complex mathematical modeling and numerical optimization methods, which allow predicting and optimizing the quality of the parts joints prior to implementation of the technologies for the assembly line being developed.

In the aircraft building industry, one and the same assembly technology is being employed while series assembly for all aircraft of the same type being assembled. Accordingly, while modeling the assembly process it is necessary to account for random assembly deviations, such as deviations of parts from the rated shape or errors in positioning. The ASRP suggests accounting for these deviations through modelling the random initial gap between parts.

To optimize assembly processes, it is necessary creation and analysis of various options of the fixing elements positioning is required. A fundamentally new approach has been developed for the ASRP to optimize the temporary fastener patterns, based on the preliminary assessment of the stress-strain state of the assembled structure.

When modeling assembly processes considering assembly variations and the fastener patterns optimizing, the necessity to solving many similar problems with hundreds of different initial data arises. For this reason, the ASRP suggests employing parallel computations for analyzing and optimizing the assembly processes.

This presented article describes the structure of the ASRP software package, the developed methods for the assembly process modeling, methods for the initial gap modeling, as well as methods for optimizing the fastener elements placing. The efficiency of the proposed optimization methods and parallelization algorithms is being studied on a practical example associated with the analysis of the assembling process of the tail section of Airbus A350.

Numerous scientific articles and monographs are devoted to the theory of space-time signal processing in antenna arrays. This type of processing is possible only in directional antennas, namely in adaptive antenna arrays, since they have a multichannel structure and allow you to identify the direction of signal arrival due to the accumulation of phase delay. Adaptive antenna arrays make it possible to form «nulls» of the radiation pattern in the direction of the interference signal by adjusting the vector of weight coefficients in the processing channels. The level of development of science interprets that these channels operate at the same frequency, that is, they are harmonic, which does not allow solving the problem of processing broadband signals. In this regard, a number of nuances arise that require more detailed theoretical and practical studies. At present, the issues of processing broadband signals in adaptive antenna arrays have not been studied both theoretically and practically. There is no clear understanding of the methods for selecting and calculating the vector of weighting coefficients in the frequency band. Also, the issue of receiving signals and suppressing interference, the sources of which are in motion, was not considered. These issues are relevant, since the development of modern technologies dictates the need to expand the spectrum of the transmitted signal, which makes it possible to increase the volume of transmitted information, ensure electromagnetic compatibility in conditions of saturation of the frequency range, and also increase the resolution. The article developed a method that allows spatio-temporal processing of broadband signals with the suppression of interference of various spectra, the sources of which are in motion. This method is based on the gradient descent method, which makes it possible to form «nulls» of the antenna array radiation pattern in real time and provide the required signal/(interference+noise) ratio at the output of the antenna array, which in turn provides the required bit error probability for transmission systems. Data and accuracy of determining the parameters of the object of observation and location for radar and radio navigation systems.

In the modern machinery 5 axis end milling operations are widely used in the production of thin-walled workpieces with complex 3D surface geometry [1-3]. Such processes are always accompanied by vibrations of different elements of the technological system (e.g., workpiece, tool): free, forced, parametric vibrations may arise, as well as self-oscillations. One of the most undesirable vibration types are regenerative self-oscillations, which may cause dynamic instability of the steady-state cutting process: these vibrations arise due to the fact, that each tooth of the mill is cutting the surface, formed by a previous tooth, so the time delay effect is introduced [4-6]. At the early investigations of cutting dynamics it was observed, that vibrations amplitudes of the technological system’s elements decreased while machining with low spindle speeds [7,8]. This effect was called “process damping” and its presence was explained by contact interaction between the flank face of the tool and the machined surface [9]. The intensity of process damping is the higher, the lower is the ration of the mill’s teeth pass frequency to the vibrations frequency [10].

Modern time-domain models of 5 axis end milling processes lack process damping accountment [17-19], so numerically simulated machining dynamics at low spindle speeds (comparatively to the arising vibrations frequencies) are not correct, which is extremely actual for machining of thin-walled workpieces from nickel and titan alloys. In this work a new time-domain numerical model of end milling dynamics of flexible workpieces is presented. This model allows to consider complex 3D contact forces between the workpiece and both rake and flank faces of the cutting tool during end milling dynamics simulation. Model’s structure and its main blocks are described. The developed model was used to perform numerical experiment on the influence of contact forces, arising on the flank face of the cutting tool, on the dynamics of the flexible workpiece end milling. Obtained numerical results qualitatively match well known experimental data from literature.

The article demonstrates that creation of the “artificial mass”, which associates with neither volume, nor the density of the material, encased in the inertial object, is based on the requirement to the Newton’s second law satisfaction. As far as the equivalence principle of inertial and gravitational mass is not extended to the artificial mass, a device with the artificial mass may be incommensurably lighter than its mechanical analog with the same moment of inertia. This quality makes this device particularly attractive for application in aviation and astronautics, including light flywheels. The purpose of the study consists in analytical synthesizing of the artificial moment of inertia and identifying parameters determining it.

The existence of analogies between physical quantities of different physical nature does not automatically lead to the possibility of obtaining the corresponding functional dependencies. For this, technical means ensuring dimensionalities concordance of the dual quantities are necessary in the first place. If an artificial flywheel is being placed in a “black box”, it will be impossible to determine by any experiments whether an artificial or “natural” flywheel is inside it.

The main advantages of the artificial flywheel over a “natural” one are its incomparably lower weight and the possibility of electrically controlling the moment of inertia over a wide range by changing the magnetic field (excitation) and capacitance, which creates a good prospect for its application in automatic control systems.

The presented work compares behavior of the soft shells of revolution with various canonical shapes of meridian (semi-sphere, cylinder, torus, cone) from the non-Hookian material at large deformations under the impact of the pressure uniformly distributed along the meridian. The shells’ sizes are being selected from the condition of the geometric sizes equity in the in terms of non-deformed shells surfaces areas.

The shells deforming is being described by the unified system of equations, applicable for any meridian construction form considered at arbitrary displacements and strains. Boundary conditions are being considered equal as well. Resulting relations of the nonlinear problem, being considered physically and geometrically, are formulated in the vector-matrix form. The problem is solved using parameter differentiation method algorithm. The initial nonlinear equation system herewith is being differentiated with respect to solution continuation parameter, which leads to interconnected quasilinear boundary and nonlinear initial problems forming. These problems are solved in steps using iteration method.

A number of features of the considered problem solution is established. In particular, for the hemispherical shell, the solution can be considered verifiable only until reaching some minimal value of pressure in supercritical area. However, from the calculations viewpoint, this problem solution possesses the highest iteration convergence rate. An ability of bearing the smallest magnitude of pressure among all the considered variants of shell meridian is characteristic for the conical shell.

For subcritical area, increasing of meridian and decreasing of circumferential strains is characteristic while approaching the fixed boundary of the shell, and for cylindrical shell, it is more intensive. Meridian and circumferential stresses in cylindrical shell exceed the ones in the spherical shell on the largest part of the meridian. In the toroid shell, stresses as well as strains remain minimal.

In supercritical area, the meridian strains in cylindrical and spherical shells decrease while the fixed boundary approaching. Strains in cylindrical shell become the smallest ones, and meridian strains in the toroid shell are the largest. Similar behavior is being observed for the stresses distribution along the meridian.

Thin-walled cylindrical shells found wide application in various industries. The development of technology puts forward more and more serious requirements for the strength and stability of structures along with their low weight and cost. Such requirements are being applied to aeronautical engineering and unmanned aerial vehicles. The optimal solution in many cases consists in applying thin-walled shells made of carbon materials with high strength properties. The shell structures are being exposed to temperature and wind loads, variable atmospheric pressure during the aircraft flight and many other dynamic impacts. Thus, the structural materials of the shells should be lightweight and durable. Recently, carbon materials, which are an order of magnitude lighter and stronger that metal, are being applied more often. Under operating conditions, shells are being exposed to high dynamic stresses that may lead to adverse effects. However, the problem of the multilayer carbon shells dynamics is not fully understood up to now. Thus, for example, the known theoretical studies in a number of cases, have significant discrepancies in the values of the lowest frequencies of the vibration spectrum of reinforced shells with numerical calculations performed by the finite element method. This fact requires an experimental study on the behavior of low frequencies. The article provides an experimental study of the effect of multilayer reinforcement of thin-walled carbon fiber open cylindrical shells on their free vibrations. Experimental samples were created on the Komsomolsk-on-Amur State University basis for the experimental study of the effect of multilayer reinforcement of carbon thin-walled open cylindrical shells on their free vibrations. Models of shells with single-layer reinforcement were made of 2/2 12K-1000-600carbon fabric. Two-layer reinforcement was created from a layer of 2/2 12K-1000-200carbon fabric and a layer of 2/2 12K-1000-400 fabric. A three-layer reinforcement was created from three layers of 2/2 12K-1000-200carbon fabric. The experimental data was compared with the analytical solution. The experiments revealed an increase in the vibration frequencies of carbon thin-walled open cylindrical shells with an increase in the number of layers of carbon fabric reinforcement in relation to the values of frequencies obtained analytically.

This paper considers the problem of analytical determination for the stiffness characteristics due to the use of a filler in the form of a regular cone-shaped (or pyramidal) cell’s system arranged in a checkerboard pattern for three-layer plates

At the moment, the most widespread are honeycomb, corrugated or folded fillers. The main filler’s advantages are low weight and high rigidity. However, there are circumstances that prevent their wider use. The closed volume formed by the core’s cells e promotes the accumulation of condensate, at the same time preventing its removal. On the other hand, there are technological difficulties associated with the provision and control of a reliable connection between a filler and bearing layers (especially on curved surfaces), thereby increasing the product cost. The structure of the cellular filler considered in the article largely allows to solve the above problems.

Due to the complexity and laboriousness of solving strength and stability problems for systems of variable stiffness, analytical solutions for a wide class of such structures are practically absent or hardly applicable in solving problems related to the design of products.

The article proposes a method for analytical filler’s representation in the form of a regular discrete cone-shaped cell’s system, with the aim of further determining the geometric properties.

Based on the analysis of the filler’s shape under study, contemplation its shape as a surface described by the trigonometric Fourier series was proposed. However, upon further analysis of the problem, it was possible to reduce the function describing the filler’s geometry to a simpler form. The final version of the shape function was a set of coefficient, cosine and sine. Filler’s representation in the form of a similar function allows one to determine the variable bending stiffness of a three-layer package when solving the problems of bending of plates with variable stiffness.

Representation of the shape of the considered filler in this form with high accuracy conveys the true geometry of the product and allows to analytically describe the geometric stiffness characteristics of the structure (areas, moments of inertia and static section moments) included in the differential equations of bending and buckling of a variable stiffness plate.

Currently, arc-shaped wings are widely used for small-sized missiles. Therefore, techniques are needed to determine the aerodynamic characteristics of such wings, primarily the lift coefficient.

1.The peculiarity of the arc-shaped wing flow is reduced to three aspects

Reduction of local angles of attack

2. Reduction of the «useful» component of the local lifting force of the panel

3.The convergence of the wing panels, and the amplification of the mutual influence of the panels.

Consideration of all these aspects is possible when using the discrete vortex method.

The wing is divided into panels with a given pitch in span and chord. In each panel there is a Π-shaped vortex.

When determining the geometric parameters that determine the position of the wing point relative to the vortex, it is necessary to take into account the curvature of the wing.

Two schemes of arc-shaped wings are considered: with an opening angle of 90° and with an opening angle of 135°.

The scheme with an opening angle of 90° is taken as the basis for consideration.

The transition to a scheme with an arbitrary opening angle is reduced to a simple recalculation of coordinates.

The calculation is performed in the following sequence:

1.The coordinates of the wing points in space are calculated.

2.The parameters of discrete vortices in space are determined.

3.A matrix of coefficients of the system of equations is formed.

4.The angles of attack are determined taking into account the spatial orientation of the wing element

5.The circulation values and the value of the wing lift coefficient are determined.

The calculation results for a rectangular wing are presented.

The wing is divided into 24 panels.

Mach number M = 0.8, angle of attack α = 1º.

The conclusion:

1.The discrete vortex method is very convenient for constructing an arc-shaped wing calculation model.

2.Acceptable calculation accuracy can be obtained already with a large grid.

3.The greatest influence on the accuracy of the calculation has an increase in the density of the grid along the span

4.To obtain acceptable accuracy, the curvature of the arched wing must be taken into account at all stages of the calculation

5.An arched wing with an opening angle of 135° has bearing characteristics close to those of a flat wing

The flow field of two lifting surfaces modeling wing and horizontal tail is investigated in this article. Aerodynamic characteristics and simulation of lifting surfaces’s flow pattern were calculated in the angles of attack were varied from 0 to 25 when the horizontal tail had have diverse positions in height: upper, initial and lower. As can be seen, if the horizontal tail has the lower location, it will be more efficient because the horizontal tail is located outside from vortex wake’s area behind the wing in high the angles of attack.

The main objective of this research is aerodynamic design’s optimization consisting in the choosing of horizontal tail position in height in order to reduce control system requirements and improving its reliability by reducing moment’s characteristics nonlinearity. Aerodynamic computation of lifting surfaces which geometry are the same surfaces of prototype MIG-AT was calculated for determination an efficient horizontal tale’s position in height. Fluid flow and gas calculation with turbulence was done on base numerical solution total system of hydrodynamics’s partial differential equations-continuty equation, Navier-Stokes equations, energy equation which were modified with Reynolds’s averaging procedure. The flow field around two lifting surfaces was computed in the software package Ansys Fluent. Visual simulation’ s analysis of velocity distribution has shown that the horizontal tail which has low and high position is located outside of wing’s vortex wave area in higher angles of attack. However, if an angle of attack increases, the horizontal tail which has higher location will be situated in wing’s vortex wave, that the lower horizontal tail. In this case, it will lead to pitch moment’s characteristics degradation. To sum up, when the horizontal tail has the lower location, it is more efficient because in this case, this variant has favorable characteristics of pitch moment, in spite of, lifting properties’s neverthless minor reducing compared with more high position of the horizontal tail.

The possibility of describing both laminar and turbulent modes of fluid flow based on the same equations has been investigated. It is proposed to consider the Navier-Stokes equations (NSE) in a phase space expanded by the introduction of an additional stochastic variable. As a result, an additional term appears in the expression for the total time derivative, characterized by the production of entropy due to the excitation of stochastic perturbations.

For laminar flow modes, entropy production takes zero value, the additional term disappears, and the transition to the NSE in their standard form is carried out, while the corresponding solutions describe only laminar flow modes.

The inclusion of an additional term, characterized by entropy production (which is always non-negative), into the equations allows us to take into account the time irreversibility of physical processes in cases where this production is non-zero.

It is shown that the occurrence and maintenance of nondeterministic – stochastic processes – in a liquid is possible in those systems, where incompatible boundary condition occurs. In this case, the existence of one smooth solution becomes impossible, and we can only talk about the presence of two or more non-intersecting or non-smoothly intersecting asymptotes of the solution. The region located between these asymptotes (or in the vicinity of the point of “discontinuity” of derivatives) is an uncertainty domain that generates a stochastic process.

As generalized solutions to problems with two asymptotes of the solution, functions were considered that are the sum of two terms, each of which is the product of two functions: one of which determines one of the asymptotes of the solution, and the second determines the degree of influence of this asymptote on the overall solution at each point of the studied domain.

The “laminar” and generalized “turbulent” solutions of the plane Poiseuille problem are found in this formulation. The comparison of the found solution with experimental data of the wall-mounted universal velocity profile is given for different values of the Reynolds number.

A plasma-mechanical approach to the problems of gas kinetics has been developed to improve passive optical diagnostic methods. The article considers the solution of quasi-stationary system of equations of radiation-collision model of inert gases low-temperature plasma depending on priority of electronic and photo-processes. The system of linear differential equations of kinetics is being reduced to a matrix form with a non-zero right part, which is being interpreted as an influence factor, for which a relaxation matrix is being introduced. The obtained matrix equation is being solved by iterative methods for the selected final configuration of the inert gas atom levels (argon, xenon, krypton) using various models of influence factors.

If electronic processes are considered as an influence factor, then the calculated dependencies of electron concentration on the total number of nuclei correspond to the state of local thermodynamic equilibrium. Graphically, this dependence on a logarithmic scale is represented by straight lines. The populations of excited levels correspond to the Boltzmann distribution.

If photo-processes are being regarded as an influence factor, then, a deviation from the rectilinear dependence of the electron concentration on the total number of nuclei is being observed in the area of low and high electron concentrations. However, the populations of excited levels still correspond to the Boltzmann distribution.

The dissociative recombination processes addition to the “influence factor” in the case of two-temperature plasma, when the electron temperature is much higher than the temperature of heavy particles, fundamentally changes the character of the diagrams. The article presents diagrams of the metastable states of heavy inert gases, which include a non-traditional hysteresis region. Without accounting for the dissociative recombination, the curves of the metastable state diagram degenerate into a typical dependence.

The meta-equilibrium states diagram is useful for estimates in plasma spectroscopy, as well as for optical diagnostics of plasma flows.

The article considers a self-similar Riemann problem on the border between multicomponent gases which properties are being described by a virial thermal equation of state with a single-fluid mixing model. A physical-and-mathematical model, computational algorithms and numerical simulation results are presented. The computational model is implemented for the three cases, namely, the first one is “frozen”, i.e. physico-chemical processes in gases do not originate, and the components concentrations do not change. The second one is “equilibrium”, which means that concentrations of chemical components satisfy the chemical equilibrium conditions. The third is a combined one, i.e. the of components concentrations to the left and right of the gap can be eother “frozen” or “equilibrium”. The solution of Riemann problem always includes a discontinuity separating the initial gas mixtures and, depending on the initial parameters, a fan of rarefaction waves or a shock wave propagating to the left and right of the discontinuity. In the case of an explosive mixture, a recompressed detonation wave or a Chapman-Jouget detonation wave with a fan of rarefaction waves docked to it can propagate through it, while it is assumed that the composition of the combustion products is equilibrium.

A computational algorithm has been developed for solving the corresponding system of differential-algebraic equations expressing the laws of conservation of mass, momentum and energy for the cases of continuous flows (fan of rarefaction waves) and discontinuous flows (shock and detonation waves), supplemented by thermal and caloric equations of state and, if necessary, thermodynamic equilibrium conditions.

Computational and theoretical studies of the decay of the gap at the boundary: argon – methane-air combustible mixture and helium – hydrogen-air combustible mixture have been performed. The initial data ranges at which the results of calculations using the thermal equation of state of real and perfect gases differ significantly are determined.

The article proposes a unified software platform designated for multi-agent models developing of orbital spacecraft constellation with various target purpose. Mathematical model of the software platform was developed at a high abstraction level, ensuring a generalized description of orbital spacecraft constellation operation, regardless its target purpose and life cycle stage. Besides, the basic systems of coordinates, employed in the spacecraft ballistics, as well as function of transition between them were defined in the space of the model functioning. These specifics allow considering this mathematical model as a basis for the multi-agent models of the orbital spacecraft constellations of various target purposes. The object-oriented model based on the mathematical model in the form classes diagram, ensuring the platform program realization, was developed in the UML language

The software platform has realized in the Python programming language in the form of two packages, containing a set of classes and methods for developing multi-agent models of orbital spacecraft constellation with certain target purpose. Besides the program platform, such model should include the following modules: user classes library, which are the platform subsidiary classes, reflecting the target purpose of the spacecraft constellation; the experiment control subsystem, and information analysis and display subsystem.

The unified software platform may be implemented as a core for the multi-agent models developing of orbital spacecraft constellations with various target purposes. A high abstraction level allows creating models with various degrees of detail, corresponding to the life cycle stage of the orbital spacecraft constellation, keeping herewith the unity of the model, methods and algorithms.

During the operation of the aviation gas turbine engine (GTE) its component technical state worsens continuously. It leads to degradation of the GTE main parameters, first of all, the engine trust and the specific fuel consumption.

Therefore the problem of the diagnostics of the gas turbine engine and its components during their operation is very actually, and its decision makes it possible to define authentically enough "critical" degree of deterioration of GTE components when their repair or replacement is necessary.

This problem is especially claimed, if there is a possibility to carry out engine components diagnostics not only during special separate ground tests, but in-flight operation in engine system.

The offered diagnostics way is based on an assumption that influence of efficiency change δη_i of each taken separately turbojet components on its trust are independent among themselves and has linear character.

In this case it is possible to present the relative change of the engine trust δR as the sum of products of relative deviations δη_i on the influence parameter В_i of the engine components efficiency on the trust change.  

The numerical indicators of deterioration of separate engine components efficiency received according to a presented method can be used for the analysis of the reasons of engine trust loss during its operation and for to work out losses indemnification methods.

Also these methods can be used for definition of the engine components state necessary at transition to modern strategy of management by a GTE resource - operation according to a state.

The example of definition of the change of engine components efficiency for a two shaft turbofan engine with the typical level of parameters corresponding to 4 generation is considered.

The presented work performs the application of the previously developed adaptive interpolation algorithm to the problem of XF11 asteroid motion simulation with regard for the interval uncertainties in the asteroid position and velocity. The XF11asteroid motion around the Sun is being considered without accounting for the effect of the other planets. The original problem is formulated as a Cauchy problem for a system of ordinary differential equations (ODE) with interval initial conditions.

The essence of the adaptive interpolation algorithm consists in plotting for each time point piecewise polynomial function that interpolates the dependence of the solution to the problem on the point values of the interval parameters. An adaptive grid is being created over the region of the parameter uncertainty. Each node of the grid corresponds to the original problem solution with the parameters values determined by the node position in space. The grid adaptation is being performed depending on the interpolation error. In the places where the error is large, new nodes are being added, and in the places where the error is small, the grid is being rarefied.

The article presents the description of various existing methods and corresponding software libraries, such as AWA, COZY-VI, RiOT, verifyode, for solving this class of problems. Employing the adaptive interpolation algorithm, the obtained interval system of ODEs is numerically integrated and compared with known results from the standpoint of the interval estimates accuracy and computational costs. Application of the fundamentally different approach to solving interval problems, allowed the adaptive interpolation algorithm obtaining solution boundaries with controlled accuracy. The algorithm is not subjected to the wrapping effect, and runs orders of magnitude faster than its analogs.

Simulation modeling is one of the most effective tools for studying complex systems today. Imitation is a kind of means of reproducing phenomena, just as a model is an abstract description of a system, object, phenomenon or process. That is, modeling is such an abstract form of reflection of reality, in which certain properties of the proposed objects are represented in the form of an image, a diagram, a plan, or a complex of equations, algorithms and programs. The use of simulation modeling in many fields of activity has a number of undeniable advantages. Firstly, it is an experimental method of cognition, which is a simple and visual tool for analysis. It helps to find optimal solutions to problems and gives a clear idea of complex systems. The advantages of this method are: simplicity, visibility, cheapness (compared to the experiment with recreating a real model), speed and convenience. The article provides a brief analysis of existing simulation models of complex systems in various environments. Due to the increased technical complexity of on-board equipment installed on aircraft, there is a problem in high-quality and timely maintenance and repair, therefore, when organizing these types of activities, it is necessary to take into account a large number of factors that can affect the timing and quality of work. To solve these problems, on the basis of generalized statistical information about failures, the AnyLogic system has developed a simulation model of the process of organizing, functioning and repairing blocks with all the external and internal conditions affecting it, which allows making a rational decision about choosing a repair site, assessing the workload of specialists when performing various types of work, as well as forming requirements for the rational composition and quantity of spare parts of aircraft products required for operational restoration of operability.

As of now, the problem solution on space-rocket technology (SRT) application is impossible without radio-electronic means (REM) employing. This fact leads to the radio-frequency space oversaturation with electromagnetic radiation in the whole frequency range. The main causes, requiring effectiveness enhancing of the frequency spectrum employing and providing the REM joint operation under conditions of restricted space-time and frequency resources are:

- Expansion of the scope of the REM application for the SRT;

- Increase in their power and number;

- Sensitivity growth of radio receiving equipment;

- Impact of the great number of jamming sources on the REM

Problems of assessing electromagnetic environment (EME), and determining various electromagnetic compatibility (EMC) characteristics occur while the RST REM operation. Thus, the search for new ways of ensuring the REM joint functioning with the specified quality under conditions of limited frequency, time and territorial resources is up-to-date.

The EMC tasks consist in the following:

– establishing regularities for the optimal application of the radio frequency fields being created for information transmitting and/or receiving or extracting;

- establishing regularities of undesirable interaction of simultaneously functioning REM;

- identifying the ways and developing criteria and methods for the radio frequency space maximum application efficiency and capacity, including operational-technical characteristics of the REM, affecting the REM EMC;

- synthesizing the REM with the specified characteristics of the radio frequency spectrum (RFS) application, i.e. the characteristics, which include accounting for both out-of-band and stray radiation, and side reception channels.

With the scores of the onboard equipment with various characteristics and widely ramified onboard cable network (OCN) on the SRO, solution of the above said tasks relative to their interaction is of utter importance while the SRO development and manufacturing.

This will allow:

- analyzing the EME onboard the RST objects;

- evaluating the EME level with account for the frequency and spatial separation of the onboard equipment and OCN;

- determining the ways to EMC ensuring of the OE and OCN under specific operating conditions;

- simulating the processes of the electronic equipment functioning under complex EME.

This set of techniques and algorithms novelty consists in solving partial problems with the subsequent comparison of the obtained total values of the electric field strength at the specified points of the RST object, and the voltage induced on the OCN cables with the specified requirements, according to the developed techniques.

The aim of the work is to create a small-sized passive radar complex for placement on an unmanned aerial vehicle.

The principles of construction of a radio direction finder operating in the range from 1 to 18 GHz, limited on weight and size characteristics, are considered. A direction finder with a different number of antennas (from three to five) was simulated.

An antenna system is proposed that provides a high probability of obtaining an azimuth to a radio source with an accuracy of up to one degree in the viewing area up to 180 degrees with elements representing a combined spiral antenna consisting of printed, hemispherical and cylindrical spiral antennas using plates of radio-absorbing material. Laboratory models of antennas were created and measured. A comparative analysis of the characteristics of the mathematical model and the antenna layout created by 3D printing was carried out, according to the results of which it should be noted the high efficiency of the manufacturing method used due to the high repeatability of the results, low cost and high speed of sample production.

When placing a passive radar complex on a UAV, it is possible to determine not only the direction to the radiation source – its angular, but also geographical coordinates, and hence the range to the source of signal. The calculation of several bearings on the source of signal from different points of the UAV trajectory spaced in the plane allows us to solve the problem of locating it using the maximum likelihood method based on a set of measurements of bearings on the source and UAV motion parameters (angle measurements and altimeter information).

In this section, the results of simulation modeling of a MANET network based on the OLSR routing protocol were demonstrated. Two versions were taken: the standard OLSR routing protocol and the energy efficient OLSRv2 routing protocol, as well as the reactive AODV routing protocol. The developed algorithm for selecting routing protocols based on channel metrics was also implemented in the NS-3 simulation environment. Simulation was carried out for various speed parameters, as well as for various network density parameters. When developing the algorithm for selecting routing protocols, the standard formats of broadcast data packets were changed to be integrated into the overall structure, since the algorithm involves switching between routing protocols based on the current network metric.

First of all, to test the operation of the energy-efficient algorithm in the model, a comparison was made of the residual energy parameters in the network models. Thanks to the energy-efficient algorithm, the developed network model with an energy-efficient protocol saves more residual energy than a model with a standard routing protocol.

The simulation results are presented in the form of diagrams demonstrating the effectiveness of the modified protocol over the standard one in terms of network lifetime and packet delivery rate, as well as average delay. In a scenario with low node mobility, there is a 7% increase in the parameter compared to the standard routing protocol. When analyzing the results of simulation modeling, scenarios were identified in which the developed algorithm outperformed classical routing protocols in terms of average delay and data packet delivery rate. Also, a drawback was identified associated with a large number of added metrics, which leads to an increase in the number of generated service messages in the network. However, due to the stability of the protocol and its efficiency in various simulation scenarios, these shortcomings are compensated by parameters based on the residual energy in the nodes.

Being compared to the 3G and 4G, the 5G network offers significant increase in data-transmission rate, delay reduction and high-reliability connection. These advantages will allow organizations to operate more effectively, as well as render services quicker, enhancing their quality. Data throughput of the fifth-generation networks is higher, thus, connection of comparatively greater number of users and devices is possible.

The most serious safety hazards facing consumers and enterprises in the 5G networks are as follows:

1. Significantly larger surface of attack.

2. Severe aftermath caused by cyber-attacks.

3. A potential for more aggressive spying.

4. Subscribers' activity monitoring attacks.

5. Dangerous DDoS attacks.

Let us consider the 5G/SDN/NFV possible vulnerabilities classification. Vulnerabilities occurring due to the insufficient organization of information technical protecting from the unauthorized access and technical channels of information leakage are beyond the scope of the system under consideration. In general, the SDN/NFV security ensuring issues are considered in [1, 2, 3, 4, 5, 6]. They are:

• Software vulnerabilities.

• Vulnerabilities caused by the presence of a software-hardware bug in the 5G/SDN/NFV equipment [7].

• Vulnerabilities of network interaction protocols implementation and data transfer channels (IP, OpenFlow, etc.) [7].

• Vulnerabilities of the information security tools (the ones in the form of PNF, VNF), software and hardware.

Let us adduce a possible information security threats (IST) classification [7]:

• The IST by the information type being processed in the system:

– voice information;

– information processed by technical means of information processing;

• The IST by type of possible sources:

– an external intruder;

– an internal intruder;

– malware;

– a hardware bug (embedded or stand-alone) (not considered in this model).

• The IST by type of the information security property that is violated:

– information confidentiality (leakage, interception, capture, copying, theft, provisioning, distribution);

– information integrity (loss, theft, destruction, unauthorized changes);

– information availability (blocking);

– accountability of processes;

– repudiation of information or actions.

• The IST by the system type: since the 5G/SDN/NFV refers to the class of distributed 5G/ SDN/ NFV connected to the international information exchange network, threats specific to this type of system are considered.

• The IST by type of implementation:

– implemented through special impacts (of mechanical, chemical, acoustic, biological, radiation, thermal, electromagnetic nature) (not considered in this model);

– implemented through leakages from technical channels (not covered in this model);

– implemented through unauthorized access to the 5G/SDN/NFV;

• IST by type of the vulnerability utilized:

– related to the use of software vulnerabilities (hypervisors, virtual features);

– associated with application vulnerabilities;

– implemented through hardware bugs (not covered in this model);

– related to vulnerabilities in network protocols and communication channels (IP, Openflow);

– the ones the implementation of which is possible due to the vulnerabilities related to the gaps in the technical protection of information from unauthorized access (not covered in this model);

– implemented through vulnerabilities associated with the technical channels of information leakage (not considered in this model) [10];

– related to the vulnerabilities of information security tools;

– man-made threats.

• IST by type of the object being affected:

– information processed at the automated workstations of the system administrator and user;

– information processed in peripheral processing equipment (printers, plotters, remote monitors, video projectors, sound reproduction equipment, etc.) (not covered in this model);

– information transmitted through communications channels (while transmitted, while processed);

– information processed within the 5G/SDN/NFV virtual infrastructure and that includes storage;

– applications;

– software providing the 5G/SDN/NFV operation (SDN/NFV units, virtualization tools).

Considering the possible consequences of the IST implementation, we should focus on violating the key properties of information to ensure its security: confidentiality, integrity, availability, accountability, nonrepudiation.

The modern cognitive radio systems and the spectrum monitoring devices used in spectrum management have to perform wideband signal analysis. One of the ways to achieve a wide instantaneous analysis band is to use a multichannel sub-Nyquist receiver. Such a device receives signals from the many Nyquist zones and analyzes their aliases in the first zone. By aggregating information from the several independent channels having different sampling frequencies, it can disambiguate frequency measurements. However, due to such a receiver’s extensive analysis band (up to several dozen gigahertz), time overlaps of the input pulses become inevitable and regular events. Therefore, investigating time-frequency parameters estimation accuracy in the sub-Nyquist receiver processing multi-signal input gains great importance. The particular interest arouses the case in which the input signals are in distant Nyquist zones.

To perform the described investigation, we developed and built a sub-Nyquist receiver prototype. As a source of the input for the prototype, we used two microwave signal generators connected to the prototype through the microstrip power combiner during the experiment. The first generator formed a pulsed signal and swept its carrier frequency, and the second generated a continuous unmodulated signal with a fixed frequency. We chose the frequencies of these two signals, so they were several Nyquist zones far from each other, but their aliases in the first zone were close.

The experiment showed in the example of 1 microsecond wide pulses that the frequency estimation accuracy remains almost the same in the cases of one-signal and multi-signal input. However, the pulse width estimation error grows significantly for the multi-signal input due to the receiver mixing-up signals having close aliased frequencies. At the same time, the effect disappears entirely if the signals’ aliases are 20 MHz or farther from each other.

Nevertheless, we consider the errors estimations and the receiver’s frequency resolution obtained using the prototype enough for the vast majority of the wideband analysis tasks. Moreover, further errors reduction is possible through a run-time changing of the sampling frequencies and the fast Fourier transform width, and through the SDR techniques. Such techniques may include post-processing based on signal accumulation, software-defined processing methods, and tunable band-stop filters at the receiver input suppressing the powerful interfering signals.

It is also worth noticing that most of the described in the paper effects related to the processing of the multi-signal input do not result from any inherent properties of the sub-Nyquist receiver. One can equally observe the same effects in the receivers with narrowband signal processing.

The need for round-the-clock, all-weather and safe execution of combat and special missions by military aircraft, ensuring full situational awareness of the crew of the aircraft in the cockpit and the background situation under conditions of enemy information countermeasures impose increased requirements on airborne reconnaissance assets, namely on the functional characteristics of airborne monitoring, detection and recognition of targets, as well as determination of their coordinates and target designation

Airborne reconnaissance (monitoring) is carried out by special airborne technical means of reconnaissance of the aircraft, providing acquisition, registration, indication, processing and transfer of necessary data on objects and target environment.

Technical reconnaissance facilities include radar, radio-technical, and optoelectronic systems operating in various spectral wavelength ranges, independently or together in various combinations.

Optical-electronic systems are the most effective means for solving air reconnaissance tasks and obtaining information about the location and types of enemy objects due to their passive operation mode and high level of image resolution of targets (objects), including in complex background-target and operational-tactical environments.

The article discusses and analyzes the features of creating on-board optoelectronic systems to expand the capabilities of on-board optoelectronic systems for conducting aerial reconnaissance: building a system based on functionally-constructive unified subsystems and modules; multi-channel; using a hyperspectral channel for detecting, recognizing hidden, disguised objects; intellectualization of functioning; integration of individual subsystems and channels; automation of the processes of mutual alignment of channels, built-in monitoring and troubleshooting; automatic tracking of areal, point objects, with the allocation and further tracking of several targets; stabilization of the line of sight; interfacing with sensors for obtaining heterogeneous information; application of digital information processing methods; generation of output data from various sensors for processing and solving recognition problems; ensuring group interaction as part of the various control circuits.

The article deals with considering the artificial neural network application for solving the problems of the ground-based object motion predicting. It proposes a new approach to the neural network architecture elaboration and applying its training techniques as applied to the specifics of the problem of motion trajectory prediction in the space of parameters. Estimation of various training techniques is given, and optimal parameters of coefficients, employed in the neural network training algorithms are determined.

The task of the ground-based objects motion predicting is up-to-date as applied to both combat helicopters actions, in the case of their aiming at a moving maneuvering target, and civil aviation, including unmanned aircraft, when it is necessary to track various ground objects.

Application of the known types of neural networks for solving the problem of the motion predicting of a ground object (as an image of the object trajectory en masse) does not account for the sequence of passing the trajectory points by the object, which is an important information for solving the problem of the object motion predicting. Additional data processing and mathematical transforms allow solving the problem of accounting for the information on the sequence of passing points. However, this increases the overall complexity of calculations and may level the effectiveness of NN application for solving the forecasting problem.

The article proposes a certain architecture for a neural network building, in which each neuron corresponds to a separate point or region of space where the movement of an object being performed. This architecture assumes elaboration of a recurrent neural network, which imposes certain specifics on the training process and subsequent application of the neural network. Thus, the training process of a recurrent neural network should be iterative until a certain minimum of the objective function is reached.

The article discusses various ways of a neural network training and determines the most suitable ones from the standpoint of minimizing the errors and duration of the training cycles.

This article considers the movement in two coordinates (on a plane). However, in the general case, the space of parameters, in which the movement occurs, may contain greater number of coordinates (hyperplane). Both training and application of predictive neural network for the motion prediction in the space of parameters with any number of coordinates will be realized by the technique similar to the one for the motion on the plane.

In the prospect, the proposed version of a neural network building may be applied to predict the movement of various objects, including the abstract ones in a multidimensional hyperspace of their parameters.

The analysis of existing approaches to the assessing effectiveness of the aviation destructive means application is carried out in the article. It was shown that during the assessing effectiveness required release determination can be carried out both without and with taking into account the means of enemy air defense, which is substantiated in general. At the same time, the attention is focused on the fact that in case of the probability approach employment in different calculations, the probability in models of aviation destructive means application is assumed to be constant in many sources. The current state of affairs is inconsistent, because as the air strikes are delivered, the error correction is done by the aviation complex crews on the one hand, and the opposing side increases the counteraction by air defense and electronic warfare application, or by withdrawal of the forces and equipment from the attack.

The application of a mathematical model based on non-stationary Markov random processes is proposed with the aim of efficient combat aviation application and taking into account the alterations in the defeat probability assessment. Considering the alteration probability in air strikes cycles in this case consists in its representation as a variable quantity depending on time, which is the main difference between the proposed model and known approaches.

In this article a new approach to the effectiveness assessment of the aviation destructive means application is proposed. That approach takes into consideration alternating the probability of different ground (sea) objects destruction during air strikes cycles. Based on calculations of the obtained differential equations employing numerical methods the comparative analysis of the results acquired by using the known techniques and the new approach proposed was carried out. The account of the alteration probability is carried out by introducing a time dependence of probability, which allows determining required release of aviation destructive means, according to the alternating from cycle to cycle combat application conditions. The proposed mathematical models of the aviation target destruction process based on non-stationary Markov random processes, have significant universality and can be extended to a wide range of tasks.

The article deals with the issues of decision support and development of recommendations using computer modeling and methods for increasing the consistency of judgments, as well as issues of integration between information systems. The method for using sets of parameters and results of computer modelling in the process of multi-criteria evaluation of alternatives is proposed and formalized. This paper regards a possible solution to the problem of usage of simulation models in the process of decision-making support carried out with enterprises information systems. The integration of simulation models and models of decision support is set-theoretically formalized. Developed software form a separate module in the decision support system that makes it possible to rank alternatives submitted by simulation models. Designed architecture allows applying this approach for variable scientific and technical civil and military problems due to its universality.

In addition, in this paper the author formalized and developed mathematical and software to improve the consistency of judgments on the example of the method of paired comparisons, providing a sketch for an effective method to increase the consistency of judgments in a pairwise comparison matrix. Initially, there were identified criteria that are of great importance for experts who make judgments and then proposed a multi-criteria optimization task and a way to solve it. Basically, the method is based on well-known properties of matrixes containing paired comparisons marks, such as transitivity of judgments or consistency index for example. The use of both methods: integration of computer models and judgments consistency allows carrying out multicriteria analysis effectively with high precision.

The experience of education program mastering by the students of aviation universities reveals that constant contact, physical or visual, with aviation engineering is necessary for apprehending the operation principles of the aircraft aggregates and systems. In some cases, training becomes extremely difficult or ineffective until the aggregates and systems being described are shown in operation, in progress. The educational material presentation employing posters or slides with diagrams, graphs and static images does not allow the students to form an understanding and perception of the material being presented to the full.

The cockpits of modern aircraft are equipped with multifunctional indicators (MFI), through which the crew interacts with the onboard complex. Working with the MFI prior to the flight allows making a flight route, enter the targets coordinates, landmarks, and radio beacons. Application of the MFI in flight allows the crew to solve the tasks of piloting, navigation and combat employment, providing the necessary information for this. In this regard, it is necessary to pay more attention to learning how to work with multifunctional indicators when mastering modern types of aircraft.

The best way to learn is training on real technical facilities. An alternative option consists in employing aviation simulators. However, they are rather expensive and require qualified maintenance. Besides, their placement requires a separate area in specially equipped premises with electric power and/or hydraulic power installations, as well as other necessary equipment.

The article considers the issue of obviousness and effectiveness increase of cadet-pilots training by employing separate cockpit element simulator in the educational process, namely multifunctional indicator, which allows cadets to choose necessary practical skills for working with the onboard equipment complex.

To introduce the MFI simulator into the educational process, information frames of the central information system (CIS) of the DA-42T aircraft were reproduced. The content of the developed CIS frames on the MFI simulator reproduces completely the indication in the DA-42T aircraft, contributing to the training quality improving and developing practical skills for working with CIS through the MFI in a real object (DA-42T aircraft). The obtained results of the work can be employed further to develop simulators of multifunctional indicators for other aircraft types.

This article discusses the problems associated with the complexity of maintenance of hardware and software systems in conditions of lack of time, expansion of the complex and updating of the element base. The purpose of this work is to reduce the complexity of the development and maintenance of the software complex, increase the reliability of programming. The objective of the research is to substantiate the approach to the construction of software and hardware systems in the paradigm of object-oriented programming, as well as its application to the construction of systems of various levels of complexity. This article analyzes external and internal problems affecting the life cycle of hardware and software systems for various subject areas. An approach to solving problems is a technology based on an object-oriented paradigm that includes the concepts of interfaces, abstract base classes, vertical and fan inheritance, virtual functions, polymorphism. Object-oriented programming technologies ensure the simultaneous functioning of existing and newly appeared devices without rewriting the system. A variant of the RT adaptive OS for connecting on-board equipment is proposed, which significantly reduces the development time of serial and individual products and increases their reliability. An example of the possible application of the proposed methodology in the field of automation of laboratory research in medicine is given and it is shown how, with a wide variety of autoanalyzer fleet, common architectural solutions make it possible to develop a basic laboratory model with the possibility of detailing for each device. The novelty is the use of an object-oriented approach in the development of a real-time operating system (RTOS), which reduces the time and complexity of developing serial and individual products.

Amoeboid movement application in robotic and transport devices is associated with partial repetition of movements existing in nature. Design of prospective devices with amoeboid thrusters will require the research based on the dynamic computations of the object. Mathematical model forming therewith depends directly on the device structure and established option of its movement. The main tasks needed to be solved while such kind of propulsor design are set. A cylindrical body rolling along a rough plane was selected as the object. The external forces applied to the cylinder are being reduced to the resultant vector, which, together with the point of contact, determines the plane of motion position. The device body contacts with the rough surface via the protruding pseudopods. Its orientation in space may be altered by the liquid volumes moving inside the rigid hull, which allows changing position of the point of contact with the surface and the resultant vector of external forces.

The device movement in one of the planes is being considered in the course of dynamic computation. With this, the limit values of the force under which contact of the cylindrical body rolling both without and with sliding is being exercised, are being determined. The other problem being solved is associated with determining characteristics of movement of mass center of the hull and its rotation relative to the axis passing through the center of mass center.

The numerical study results reveal the presence of characteristic sections of motion determined by the selected parameters of the problem. The performed computations accuracy corresponds to the model being used.

The complex of kinematic indicators should ensure the forming of requirements for the control laws for the device being developed. Devices with amoeboid propulsors may be considered as bodies with a movable internal mass.

In the prospect, amoeboid propulsors may prove to be more efficient means of motion and transportation compared to the conventional wheeled and rotary mechanisms. The extremely low impact on the environmental objects associated with low ground pressure and trifling atmospheric emission should be considered the most important advantage of the amoeboid aggregates application.

A detailed study of the implementation options for each method of movement points at the significant number of their variety, and they are fully dependent on the concrete conditions and functions being realized. Along with the typical ones, the presence of the variety of transitional and combined forms of movement should be accounted for. Modern literature analysis allows soundly consider that the next stage of the studies development related to the amoeboid devices creation seems to be application of a device with basic hull shape in the form of a sphere.

The article considers one of the L₁ or L₂ collinear libration points application for a tether system deployment in the direction of Phobos in a plane circular restricted three-body problem in the Mars-Phobos system. An orbital spacecraft by which one of the tether ends is being fixed is located in L₁ or L₂ collinear libration points and is being held in one of these unstable points by the low thrust of its engines. The equation of the tether system motion in the polar coordinates system was obtained for the tether of constant length, the equilibrium positions were found, and the dependence of the vibrations period on the tether length was determined. Comparison of approximate solution for the small angles of the tether deviation from the local vertical with the numerical one was performed. The article demonstrates that the system “fixed” either in both the L₁ point and L₂ has potential wells in cases when the tether is being directed towards the Phobos side. It was revealed that the dependencies of the vibrations period on the tether length for the L₁ and L₂ points were fundamentally different. Comparison for both L₁ and L₂ of approximate and numerical solutions revealed herewith that the vibrations amplitude remained constant in contrast to the frequency. The results of this study may be employed for the future space missions provision. Thus, for example, a space lift may be arranged in the Mars-Phobos system, which tether will pass through the L₁ or L₂ libraion point. Besides, such lift may serve as an intermediate station for conducting studies associated with the space exploration around it, as well as a platform for the interplanetary flights. “Fixing” the tether system in the L₁ or L₂collinear libration point of the Mars-Phobos system will allow conducting remote studies of Phobos employing a vehicle with sensors, which will hover above its surface.

The purpose of the study consists in detailing the types of mechanical power while harmonic oscillations. Due to the irreversibility of thermal energy, its derivative takes only positive values. With this, derivatives can be taken of both potential and kinetic energy. Harmonic oscillations herewith at which the derivatives (instantaneous powers) are necessarily sign-changing functions, which fundamentally distinguishes them from thermal power, deliver the most interesting case. The inductance coil magnetic field energy is the kinetic energy analog in electrical engineering, the capacitor electric field is the potential energy analog, and thermal energy dissipated by the resistor is the mechanical energy analog. The article shows that at mechanical vibrations not only sign-positive thermal power develops but the sign-variable reactive powers as well, which characterize the potential and kinetic energies reversibility. The active power is understood as the average value of instantaneous power over half a period, and reactive power is its amplitude value. The total mechanical power, on the one hand, is being described by the Pythagorean formula, and on the other hand, it is equal to the product of the rms values of the harmonic quantities. A feature of the complex representation consists in the fact that while the total power calculating, one of the multiplied vectors should be conjugate. The concept of mechanical reactive, active and apparent powers is a generalization of the corresponding concepts from electrical engineering, which is a manifestation of electro-mechanical dualism.

Structures with thin-walled open shells bear an optimal ratio of the internal volume to the area of the enclosing surface. Such shells application therewith has disadvantages, namely, they are very sensitive to the forced vibrations originating from the external forces, such as wind and snow loads, equipment operation, etc. The article shows the necessity to shell structures calculating on dynamic processes caused by the forced vibrations impact. A model for the circular vibration frequency computing of a thin-walled cylindrical composite open shell with hinged support was obtained. A numerical experiment was conducted to compare the results and determine the error between the obtained computational model and the proven computer aided calculation performed with the Lira-CAD program. The effect of the number of longitudinal half-waves on the circular vibration frequency of the composite open shell was determined. The numerical characteristics of the vibration frequency of thin-walled shells may as well change due to the extra inclusions on the shells, such as an orifice, reinforcing rib, an attached plate, etc. Experimental data testify that these changes are of non-proportional character, which does not correspond to the generally known results of theoretical studies. Thus, the structures analysis on the dynamic vibrations requires refined mathematical models development. The authors propose a new approach to the finite-dimensional model creation – a form of solving the problems of vibrations of a shell, carrying a small attached mass. The mathematical model refinement led to better quantitative and qualitative results compared to the known analytical solutions. In their earlier works, the authors analytically and numerically showed that the frequency reducing effect does not depend only on the magnitude of the shape initial irregularities, as is commonly believed at present, but on the geometric and wave parameters of the shell as well. The proposed approach is generalized for the case of vibrations of shells of finite length.

The prediction of strength characteristics of flight elements at the initial stage of design is important for constructions subject in use to shock influences. This paper investigates dynamic loads and strength characteristics of flight control console at disclosure and latching of a console. These loads arise on the initial site of flight because of blow about an emphasis. Calculation is made in dynamic module finite element software based on the explicit method of integration of movement differential equations. Suggest calculation model considers friction between components. Friction is set between between plugs and an axis, between an emphasis and the console, and also between a stopper and the console. Elastoplastic properties of materials the most subject to deformation of assembly details are simulated with use of the diagram of plasticity. As a result of the simulation, the reaction forces between the most loaded parts of the assembly, the maximum flight console scope and fluctuations are defined. The period and amplitude of cross fluctuations of the console and longitudinal fluctuations of a compartment mean fluctuations. The stress-strain state of a console as a part of a flight compartment is investigated in the conditions of short-term shock loading. Verification of calculation is carried out by means of comparison of modeling results with the values received at a natural experiment on disclosure of consoles by the pyrotechnic mechanism. The relative deformations of the emphasis and the compartment upon impact were measured by strain gauges. To register the rotation of the console, a video was taken. Good convergence of calculation results with a natural experiment is shown. Values received by a numerical method of calculation differ from results of an experiment less than for 8%.

Despite the fact that random processes are ubiquitous, doubts remain as to how random they are, and whether this randomness is seeming, based only on the limitations of our knowledge.

If the uncertainty of the processes occurring at the quantum level is already largely beyond doubt, the stochasticity of macroprocesses, and turbulence in particular, is still a subject of scientific discussion, if only because they are described by deterministic equations.

The article shows that the Navier-Stokes equations used to describe hydrodynamic flows lose their deterministic properties when they are integrated by computational methods. This can explain the rather successful application of these equations in solving many practical hydrodynamic problems in the implementation of turbulent flow regimes. However, this approach to describing turbulent flows can be correlated rather with analog modeling of turbulence.

In order to describe both laminar and turbulent flow regimes in a controlled manner, the author proposes to consider the Navier-Stokes equations in the phase space expanded by introducing an additional variable characterizing the entropy production. For laminar flow regimes, the entropy production takes on a zero value, the additional term disappears, and the transition to the Navier-Stokes equations in their standard form is being realized.

The article considers the issues of the possibility of emergence and maintenance of non-deterministic, i.e. stochastic processes in a liquid due to the existence of incompatible between each other boundary conditions, as well as the ways of describing them relating to the turbulent flow. It is shown that the velocity profile of a turbulent flow can be described as a generalized solution of the problem, which is the sum of the two terms, each of which is the product of two functions: one of which determines one of the asymptotes of the solution, while the second one determines the degree of influence of this asymptote on the general solution in each point of the area of interest.

The plane Couette flow problem was solved by dint of this approach. Good agreement of the results with experimental data is demonstrated.

Despite the fact that random processes are ubiquitous, doubts remain as to how random they are, and whether this randomness is seeming, based only on the limitations of our knowledge.

If the uncertainty of the processes occurring at the quantum level is already largely beyond doubt, the stochasticity of macroprocesses, and turbulence in particular, is still a subject of scientific discussion, if only because they are described by deterministic equations.

The article shows that the Navier-Stokes equations used to describe hydrodynamic flows lose their deterministic properties when they are integrated by computational methods. This can explain the rather successful application of these equations in solving many practical hydrodynamic problems in the implementation of turbulent flow regimes. However, this approach to describing turbulent flows can be correlated rather with analog modeling of turbulence.

In order to describe both laminar and turbulent flow regimes in a controlled manner, the author proposes to consider the Navier-Stokes equations in the phase space expanded by introducing an additional variable characterizing the entropy production. For laminar flow regimes, the entropy production takes on a zero value, the additional term disappears, and the transition to the Navier-Stokes equations in their standard form is being realized.

The article considers the issues of the possibility of emergence and maintenance of non-deterministic, i.e. stochastic processes in a liquid due to the existence of incompatible between each other boundary conditions, as well as the ways of describing them relating to the turbulent flow. It is shown that the velocity profile of a turbulent flow can be described as a generalized solution of the problem, which is the sum of the two terms, each of which is the product of two functions: one of which determines one of the asymptotes of the solution, while the second one determines the degree of influence of this asymptote on the general solution in each point of the area of interest.

The plane Couette flow problem was solved by dint of this approach. Good agreement of the results with experimental data is demonstrated.

The article deals with the methodology for determining the radio emission source location in the tasks of electronic reconnaissance. To determine the radio emission source location, the azimuth direction finding from the aircraft is employed. It is noted that the previously proposed model allows determining the source location, however, it requires the zones of uncertainty calculating. The article shows that the need to calculate the uncertainty zones is associated with the fact that the error ellipse, calculated during models operation, requires an unbiased estimate of the source coordinates. The unbiased estimation obtaining while triangulation is possible only in symmetrical geometries, when the triangle formed while position determining is close to the equilateral one. In all other cases an estimation bias (the mean coordinates estimation value deflection from its true one) is being observed. As far as it is necessary to have bounded area of the most probable location of the radio emission source, the problem of this area plotting comes into being. The authors developed an algorithm for determining the radio emission source coordinates estimation bias relative to their true values for the uncertainty zones computing while using triangulation method for its location detection. Modeling of the radio emission source location determining process was performed. It was suggested to employ the basic TargetLocation algorithm to obtain the output data. It realizes the triangulation method. With this, three steps should be performed. These are triangulation base size computing; determining angles of the triangle; computing the source relative distances from the bearing points; determining the target coordinates. Basic simulation stages were performed in MATLAB. The following procedures were executed herewith: computing correlation coefficient and mean square deviation of the target coordinates; computing semi-axes of errors ellipse and angles between the X axis and the main ellipse axis; correcting the errors ellipse sizes. Analysis of the simulation results was performed, which revealed that the method consisting in measurements sorting out and ellipse sizes correction by the bias value yields the uncertainty zone encompassing true position of the radio emission source. The authors established that the presented method allows increasing the location determining accuracy. The bias value largely depends on the tactical situation geometry. Thus, in practice, it is necessary to know either analytical dependence of this bias on the geometry and measurement errors, or possess the table of these values. To obtain the above said dependencies, a large series of experiments conducting is required.

The use of onboard Earth surface surveying radar (including SAR) solves a number of tasks, which include the survey of the underlying surface, obtaining radar images of the terrain with a required resolution, detection of natural and artificial ground objects, operational mapping, etc. The installation of radar on board an aircraft is associated with the layout of various equipment in a confined space, taking into account the requirements of electromagnetic compatibility. Due to the fact that the strongest source of electromagnetic interference on board of aircraft is the radar, the assessment of its impact on the operation of the rest of the equipment is of paramount importance. The peculiarity of the UHF-band under consideration is that the wavelengths are comparable with the lengths of external and internal cable lines, as well as with the dimensions of the electronic equipment blocks. The paper presents the methodology of numerical modeling of the distribution of the electromagnetic field in the near zone, created by onboard radar of the UHF-band, designed for Earth surface surveying. For electrodynamic modeling of the electromagnetic field's distribution, the authors used a Finite Difference Time Domain Method. An assessment has been made of the electric field strength and current density induced on the electronic equipment block's housings located next to the active phased antenna array of the radar. These data can be used in works on electromagnetic compatibility of onboard electronic equipment. A description is presented of laboratory research schemes and the sequence of complex checks of equipment on the aircraft, associated major challenges. The authors separately considered problems arising during testing of satellite navigation equipment.

The article describes the relevance and state of development of an unmanned aerial vehicle of a lightweight helicopter type of the home-produced “Grach” series. By reference to application specifics of the unmanned helicopter with a wide range radio reconnaissance station as a objective load application, the requirements imposed to the control and data transmission system place on it were formulated. The compliance of the installed system with the requirements is analyzed, and technical, economic and operational advantages of the communication systems based on ultra-wideband signals are demonstrated. Based on the earlier studies, devoted to the issues of creating a lightweight helicopter type unmanned aerial vehicle, as well as generating, processing and studying ultra-wideband signals, specifics and principles of a ultra-wide band communication channel design, which determine technical appearance of control, data transmission and local radio navigation system being installed on the aerial vehicle were formulated. Technical characteristics of the control and data transmission system, associated with pulses generation and processing; the signals radiation, and noise immunity assessment of antennae systems; frequency range selection, signal width and type; the issues of the system placing on the flying vehicle, as well as assessing the possibility of local navigation system integration into the communication system were analyzed and proved. Inferences were drawn on the substantiated technical characteristics impact on the tactical characteristics such as communication range, flight time, takeoff mass etc.

Due to the expansion of the frequency range and the number of emitting radio-electronic means in many scientific and technical fields, performing a wideband analysis of the signal environment becomes necessary. For this, one can use a multichannel undersampling digital receiver (USDR). Such a receiver estimates a signal carrier frequency by unfolding its spectrum in each channel from the first Nyquist zone to the subsequent zones. The unfolded spectrum components in each channel are then compared with each other. The goal is to find the frequency at which the components from all channels coincide. This frequency is assumed to be the true carrier frequency of the received signal and not its alias. In this work, we investigated the USDR prototype, which does not contain a low-noise amplifier (LNA) at its input. Therefore, the prototype’s noise figure (NF) is high and reaches 41 ... 52 dB. However, using an input LNA can significantly reduce the total NF of the device. At the same time, one should bear in mind that with an increase in the LNA’s gain above a certain value, the receiver’s dynamic range begins to rapidly narrow. The resulting frequency dependence of the NF in the 18 GHz band has significant non-uniformity (11 dB). Therefore, when creating wideband analyzers to reduce the sensitivity variation, it is advisable to use equalizers and amplifiers with compensating frequency dependences of the NF and gain. Using the USDR with characteristics similar to those obtained for the prototype, we can achieve a –125… –116 dBm sensitivity for the wideband analyzer. This sensitivity is high enough for the considered 18 GHz frequency band.

The article is devoted to the study of the operation of M-type amplifiers in various output power control modes, to realize the possibility of multi-mode operation of transmitting modules of radar stations (RLS) on active phased array antenns using M-type electrovacuum devices (EVD). The need for such studies arose with the increasing requirements for powerful transmitting modules. The results of studies of various methods for controlling the output power of the amplitron are presented. A fundamentally new way to control the output power of M-type amplifiers is considered - control of the operating voltage with a change in the magnitude of the magnetic induction.

As a result of the studies carried out on the possibility of operating M-type amplifiers in the output power control mode, the following was revealed:

-when controlling the input signal, the range of output power variation is at least 1.0 dB;

- when controlling the anode current, the range of output power variation is at least 5.0 dB;

- when controlling the operating voltage, the range of output power variation is at least 5.2 dB.

The results obtained can be of great practical importance in the construction of powerful transmitting amplifying modules for multi-mode radars with active phased array antennas and passive phased antennas array. It is shown that the use of a combined method of output power control, which combines the control of the input signal, anode current and control of the anode voltage, will allow changing the output power of the amplifier in the range of more than 11 dB.

It was also shown that when controlling the input signal of the amplifier, it is possible to expand the operating frequency range of the amplifying module up to 10-12%.

Today, methods and technologies employing Earth remote probing data being developed by Roscosmos enterprises allow suggesting unique ways for ensuring safety, increasing efficiency of exploration and extraction of natural resources, introducing the latest practices into agriculture, preventing and eliminating consequences of emergencies, as well as protecting environment and controlling climate change. The issue of new space technology developing (a small spacecraft for the Earth remote probing in particular) is becoming most relevant.

To increase the degree of the design decisions validity while creating a small spacecraft, the article considers:

- Conceptually new approach to the development of a scientific-and-methodological apparatus for multi-criteria selection of the onboard control system structure and parameter on the example of a small spacecraft motion and navigation control system;

- Optimization of its limited resources to ensure proactive compensation of destructive external agency impacts

The article presents the developed structural-and-logical scheme for motion and navigation control system configuring of the Earth remote probing small spacecraft. The proposed approach allows putting into practice a multi-criteria selection of effective configuration options for motion and navigation control system of a small spacecraft with account for various types of structural redundancy of the onboard equipment, and a wide range of element base. The conceptual and mathematical statements of the problem are given, and an algorithm for multi-criteria synthesis of the motion and navigation control system appearance of a small spacecraft is developed.

The proposed technique will allow, even at the spacecraft design stage, significantly reducing the number of design errors by the decision-maker, as well as improving the quality and efficiency of the created space systems application.

Aerial monitoring (reconnaissance) piloted complexes application in the interest of operational strategic decision-making is of great importance for the State security ensuring. However, such complexes employing is often performed in extreme conditions stipulated by climatic (severe meteorological) conditions, the destructive effects of man-made disasters, the danger of air defense means employing by unlawful armed formations, conditions of armed hostilities waging, etc.

In this regard, the article proposes an integrated spatially distributed reconnaissance aviation complex, which, unlike the known ones, includes unmanned aerial vehicles, con-trolled by the onboard operators situated directly on the manned aircraft for waging and controlling reconnaissance (by air monitoring).

Application procedure of such complex has been considered for the most difficult case, namely aerial reconnaissance waging under conditions of armed hostilities while the ground situation disclosure two stages. At the first stage, under condition of radio signals receiving possibility, such as radio dis-tress signal, radio signals of the survey targets etc., passive radio and radio-technical reconnaissance is being waged with the technical capabilities of the piloted aircraft onboard sensors. At the second stage, supplementary reconnaissance and reconnaissance of the objects of interest is being performed by the optoelectronic and other means positioned on the unmanned aerial vehicles.

When proposing modernization of the aerial reconnaissance (monitoring) and basing on the system approach, it is important to apprehend how the solution being proposed will affect the system of a higher rank, namely executive, or, in a particular case, striking. For this, a dynamic model of the reconnaissance-strike actions process was developed. It represents a state graph with time and probabilistic parameters indication. The article shows the equations system solution based on the states graph in the form states probabilities time dependences. The article demonstrates the solution of the system of equations, which are formed on the basis of the state graph in the form of time dependencies of the probability states.

The proposed model wields significant commonality and may be propagated on the wide spectrum.

In the process of space technology development programs realization, various factors affect the program activities and implementation indicators. Development of respective technique for the factors considering is required. The forecasts of programs realization are based on the variant basics.

The program realization strategies defining is the initial stage of the uncertainty factors considering while the program indicators forecasting. The realization strategies are being based on the goals and priorities of the State policy of the Russian Federation in the field of space activities.

The two-level system of priorities is applied when defining strategies. The first level is strategic priorities based on the priorities of the State policy of the Russian Federation. The second level is the priority of the event within the strategic priority.

Program activities are being distributed among separate groups, affecting various properties of the program. When forming various options for strategies, a sequential search of the formed groups of program activities is used. The program activities priority is distributed by the Fishburn method according to the number of results achieved.

Possible strategy options are sequentially considered. Program activities are being ranked according to the degree of their impact on the contribution to various properties of the program.

The strategy under consideration will focus the allocated resources on the realization of a group of program activities aimed at achieving one of the properties of the program. The results changing of the program activities realization occurs due to the funding redistribution between the various groups activities. The funds of the lower priority groups of program activities are distributed in favor of the activities of the group with the highest priority.

Formation of groups’ priority of program activities aimed at achieving various tasks and properties is being performed. Further, the priority group's program activities are filled at the expense of the lower priority group, with account for the effect of the uncertainty factors. Funding redistribution of program activities according to the formed options of strategies takes place.

Sequential consideration of the the program realization options will allow selecting the most rational strategy.

The most important electroplating quality indicator is the uniform distribution of the applied metal thickness the on the part surface. It is advisable to process small-size parts conjointly, since large-volume electroplating baths are being used as usual in industrial conditions. Accordingly, it is unprofitable to process one part in one operation cycle of the electroplating bath. Given that the shapes of the parts being processes may differ and the number of parts may vary, this or that parts’ placing on the special suspending device may lead to various values of the total unevenness. Besides, the ineffectual placing may cause significant metal losses and excess electric energy consumption. Accordingly, the task of such multi-cathode system optimal control comes into being.

The article considers a computational-and- logical intelligent system for controlling electroplating applying on the multiplicity of the parts-cathodes. The computational-and- logical intelligent optimal control system solves the problem of searching for the optimal placing of several cathodes of various shapes and weights in an electroplating bath to obtain coatings with minimal unevenness.

To solve the set problem, the developed system employs the full search method, modified Gomori algorithm and the branches and boundaries method. The initial data for one of the three methods selecting is the number and shape of the parts to be electroplated. Afterwards, employing both database and knowledge base, the best method for the problem solving being defined, and the problem solution of optimal parts-cathodes placing on the suspension from the viewpoint of the unevenness criterion is being solved. At each stage, the technologist has the ability to control the process of the task solving and result correcting.

As the result of the optimal control system application in electroplating production, the total unevenness of the galvanic coating on the surface of many simultaneously processed parts decreases; the parts processing speed increases; the number of defects in the production process decreases, and the load on the electroplating line operator decreases. It is worth noting as well the electrical energy consumption reduction by the galvanic line when implementing a computational-and-logical intelligent system for optimal control of the galvanic coating applying process employing a variety of parts-cathode of various shapes and sizes. The proposed Gomori method modification increases the control system efficiency and reduces the amount of time required to calculate the optimal parts placing on the suspension.

One of the important tools applied at all stages of the aviation gas turbine engine (GTE) life cycle is the mathematical modelling of GTE operation. Such the engine mathematical model (EMM) allows to calculation of its altitude-velocity and throttle performances to form the initial data for gas dynamic calculations and designing of GTE units, for control system design, for planning of various kinds of tests, carrying out of GTE diagnosis and also decisions of other problems arising during the GTE creation and operation.

Efficiency EMM at various stages of the engine creation depends on adequacy of the modelling to its real operation. In this connection increase of accuracy EММ is rather important problem on which decision the expediency and productivity of application EММ in the practice substantially depends.

The problem of ЕMM accuracy and adequacy increase can be resolved during some stages.

At the first stage the initial aprioristic EMM was analyzed by audit of basic equations, inequalities, logic conditions, and also approximating dependences about conformity to those physical processes for which they were got.

So, in particular, at this stage correctness of use in EMM the thermodynamic equations applied to enthalpy and temperature of a working medium and it thermo physical properties, approximating dependences for the unit performance (received in advance by means of independent tests or calculations) from the viewpoint of their interpolation and extrapolation from area of their preliminary settlement-experimental definition is checked.

Besides, correctness of the continuity equation on an engine flowing path (taking into account possible selections, leaks and supplies of a working medium), conservation of energy and an impulse, and also the laws of engine control (taking into account accuracy of regulation and limitations), defining fuel flow into the combustion chamber, position of the compressors guide vanes and jet nozzle door (if these elements are changed from a one mode to other) is checked.

Generally the method of EММ identification with the engine tests results is reduced to a finding of certain number of correction factors to conditionally constant EMM parameters (to units performance, the sections of a flowing path area values, values of selections and leaks of a working medium and another), capable of the least divergence of the settlement and experimental results.

Effective visual monitoring of the ground situation can be carried out using various imaging devices installed on the UAV. In this case, the spatial resolution can be up to 1 cm. The dominant direction here is the fulfillment of the criterion for overlapping images of each other, obtained at the rate of UAV movement. It is common knowledge. That in order to obtain a high-quality orthomosaic image, adjacent terrain images obtained during the UAV flight should overlap 60% in the forward direction and 20% in the direction perpendicular to the direction of movement. At the same time, when the carrier is flying at supersonic speed and the requirements for the overlap of time-sequential images are often not met. In such cases, qualitatively new criteria are required to optimize imaging systems. The resolution of photogrammetric images obtained from aircraft equipped with imaging devices is determined by such a metric as the Ground Sample Distance, or GSD for short, which is defined as the distance between two adjacent pixels.

With regard to high-speed flying objects equipped with imaging devices, the following optimization criteria have been proposed: (1) Design criterion α_1, (2) Functional optimization criterion α_2 The first criterion is put forward in order to achieve small design dimensions of the imaging unit for a given value of the number of pixels per unit image width and GSD = const. In turn, the second criterion is put forward from the conditions for achieving stealth devices for various detection systems. The solution of the formulated optimization problems showed that the criteria α_1 and α_2 are fulfilled with a square root dependence of the distance from the sensor to the ground object and the size of the sensor area on the focal length of the device, respectively.

To ensure the reliable operation of the UAV, a promising solution is the wireless transmission of energy through specialized ground base stations. At the same time, such power supply systems are expensive and dangerous for the population due to the high intensity of the laser beam and excessive electromagnetic radiation. A partial solution to this problem is the joint transmission of information and energy from a single base station. There is also another solution to the problem - the use of solar panels. However, the effectiveness of such a solution is still too low. In this case, the power supply of the UAV can be carried out according to the following simple rule (1) If there is a cloud, then the power supply is carried out through ground base stations by sending high-intensity laser beams; (2) If there is no cloud, then solar power supply is used.

The case of a cloudy sky is considered in detail, when the UAV, by definition, flies at the level of the lower boundary of the cloud cover.

The problem of finding the optimal height of this boundary with a constant height of the upper boundary of the cloud layer is formulated and solved. The corresponding algorithm for the implementation of the proposed method has been compiled. The possibility of optimizing the construction of combined power supply systems for UAVs by minimizing the total energy losses along the paths of their propagation is considered. The case of a cloudy sky is considered in detail, when the UAV, by definition, flies at the level of the lower boundary of the cloud cover.

The problem of finding the optimal value of this height with a constant height of the upper boundary of the cloud layer is formulated and solved. The corresponding algorithm for the implementation of the proposed method has been compiled.

Efficiency assessment is an integral part of optoelectronic systems (OES) development stages, testing and operation. The lack of a unified technique for optoelectronic systems effectiveness assessing leads to the fact that various assessment methods are employed to compare different systems, which results in obtaining contradictory results that do not provide objective data for making appropriate decisions at various stages of optoelectronic systems life cycle. One of the ways to this problem solving consists in an analytical model developing, which will represent the basis for creating the unified complex of means for intellectual support for optoelectronic systems design and maintenance at all stages of the lifecycle.

The purpose of the presented article consists in describing an analytical model for the optoelectronic systems effectiveness assessing, in a part concerning the noise model of the “OES-operator” system.

The following noise components of the “OES-operator” system are considered: the noise variance of the visual system of the OES operator, and the noise variance displayed on the OES display. The article presents the formula dependences of the noise variance components displayed on the OES display. These are the spectral density of the noise on the display, the temporal noise bandwidth and the spatial noise bandwidth. A model for computing the temperature difference equivalent to the noise was considered.

Further, the article presents the example of the initial data presentation in the analytical model for optoelectronic systems effectiveness assessing, and the results of the noise impact assessment on such OES efficiency indicators as detection range, recognition and identification of an object.

The considered noise model of the “OES-operator” system as an integral part of the analytical model for optoelectronic systems effectiveness assessing is a tool for an objective assessment of the of the optoelectronic systems sensitivity, which excludes the subjective opinion caused by the human factor.

It is advisable to employ this noise model of the “OES-operator” system in the development of tactical and technical requirements for optoelectronic systems, and optoelectronic systems themselves at the preliminary and technical design stages.

Computing temperature difference equivalent to the noise allows performing assessment:

- Of noise components impact on the values of detection range, recognition and identification of the object to the specified tactical-and-technical requirements at the stage products testing;

- Of the OES radiation receiver sensitivity for this parameter compliance with the values indicated in the specified in operational documentation at the stages of mass production and operation.

Thus, the noise model of the “OES-operator” system implementation, which is an constituent part of a single software package for intelligent support of design and maintenance of optoelectronic systems at all stages of the life cycle, was considered.

Convertible unmanned aerial vehicle called a tiltrotor is considered. Tiltrotor can flight airplane mode and helicopter mode by changing the propulsion thrust vector by tilting the axes of rotation of the engines. The tiltrotor has the ability to make a vertical take-off and land, it can also perform horizontal flight at high-speed cruise. It is difficult to develop tiltrotor control system due to the variable characteristics of the UAV during flight. This paper describes analysis of methods for selecting controller parameters of control system regulators. When analyzing fault tolerance ensuring controllability imposes requirements on the choice of control laws in the angular motion control loop and trajectory motion control loop. In addition to the widely used PD- and PID-controllers and the linear-quadratic controller, algorithms based on the concept of the invers dynamic problem and fuzzy logic are considered. Results of research on the creation of algorithms for the automatic control system of a convertible unmanned aerial vehicle are presented. All the described methods were analyzed to ensure the robustness of the automatic control system in order to ensure the necessary quality of control in cases where the control object differs from the calculated one. In case of failure of individual elements of the system the characteristics of control object change during operation, this problem is also considered in this paper. A comparative assessment of various methods for implementing control loops for UAV trajectory and angular motion using proportional-integro-differential, linear-quadratic, nonlinear controllers and the method of the inverse dynamic problem is carried out to identify the advantages and disadvantages of all these methods.

This article discusses application of bio-inspired metaheuristic global optimization methods: Grey Wolf Optimizer (GWO) and Whale Optimization Algorithm (WOA) for the problem of optimal loop-open control. Optimal control needs to manipulate space probe with solar sail. These algorithms belong to the class of swarm optimization methods, which feature is possibility of data transfer between individuals. At the same time GWO and WOA were inspired by nature, therefore we may relate them to bio-inspired category. The behavior of a nonlinear deterministic continuous model of a plant is described by a system of differential equations with given initial conditions and a non-fixed terminal time. It is assumed that only time information is available during control, i.e. the open-loop control is used. Numerical solution is found in the form of saturation function, which guarantees fulfillment of parallelepiped control constraints. Function arguments are finding in the linear combination of given base functions. Since terminal moment is undefined, this article applies method of transformation to the fixed terminal time problem, which introduces new independent variable, related with time.

The task is to find optimal control law for realizing solar system mission flight from the Earth’s orbit to the Mercury’s orbit in the shortest possible time. Algorithm of two bio-inspired metaheuristic optimization methods application and software were created for numerical solution solar sail open-loop control problem. Software gives mathematical modelling with various parameters for a subsequent visualization. Comparison with known results was provided. Recommendations were provided for parameters choose to solve typical model optimization and applied solar sail control problem.

Due to the widespread application of advanced science-intensive technologies in the space industry, these industries themselves are becoming a source of development not only of applied, but fundamental science as well. In this regard, Umov’s integral vector, backward impulse and other mechanical quantities in perspective may be of interest including the applied one. The said quantities are associated with the formal analogs of the Schrödinger equation (FAUSH). Formally, the Schrödinger equation (SH) induces the magnitude of mechanical motion of the zero order (in the sense that it is contained in the SH). It is noteworthy that the quantum mechanical design generates a macromechanical quantity. Obviously, other ACF can induce values of mechanical motion of other orders. The following theorem is proved: The following theorem is proved: the value of m_ev^—1 in a hydrogen-like atom is quantized. The value of m_ev^—1, corresponding to the basic energy level is a fixed (unchanged) quantum. Almost all of the obtained results were a consequence of the quantum mechanical differential equations application, however, the results themselves are predominantly macromechanical. The mechanical motion quantities of various orders are being induced by formal analogs of the Schrödinger equation. These quantities include both known (mass, momentum, kinetic energy) and unknown (Umov’s integral vector for kinetic energy, backward momentum, etc.). In all FAUSHs, the orders of the partial derivatives differ by one. For quantities of motion with a positive degree of velocity, the order of the temporal derivatives is higher than that of the spatial ones. For mechanical quantities with a negative degree, the order of spatial derivatives is higher.

Analytical relations for trajectories parameters determining of the free (by inertia) spherical movement a satellite as a solid, which ensures reorientation of its dynamic axis of symmetry to the specified position in the regular precession mode, were obtained. A canonical inertial coordinate system, in which angles of orientation of the associated coordinate system, i.e. Euler angles, change in time linearly, was introduced. A peculiarity, explanating the ambiguity of determining the initial value of the rotation angle, is indicated, and the option of the pointed ambiguity elimination is suggested. The article demonstrates that spherical movement trajectory of a solid, which ensures the dynamic axis of symmetry retargeting to the required position in the predetermined time is a basic problem while reorientation control selection in the pulsing statement and computing required increment, kinetic moment and kinetic energy in the points of impulses application. The solutions being obtained allow assessing rather accurately the retargeting process duration and required energy consuming, necessary for further analysis. Besides, these solutions are a good initial approximation for the continuous control tasks. The authors introduced the notion of control strategy for spherical (angular) satellite motion control at lengthy time intervals, consisting of sequence of controls of the two active sections and ensuring transition from one angular motion trajectory to another, which kinematic and dynamic parameters are being determined based of the spacecraft flight program. The article proposes realizing continuous angular motion control computing at each active section based on the utilizing the concept of inverse problems of dynamics and algorithms for solving the problem two-pulse control of the satellite reorientation.

The presented work studies opportunities of automatic segmentation method implementation for solving problems of axisymmetric static deforming of soft shells of revolution at large displacements and strains.

Mathematical statement of the problem includes four quasilinear differential equations and nine nonlinear algebraic equations. Geometrical relations of thin shells nonlinear theory are employed herewith, and elastic potentials of various views are being engaged for nonlinear physical relations formulation. The opportunity of composite shell analysis is supposed, which corresponds to the statement of multipoint boundary problem.

Algorithm of the parametric differentiation method is used for the problem solution. The initial relations of the nonlinear boundary problem are being differentiated herewith by the preselected parameter of the problem solving continuation. As the result, a system of interconnected quasilinear boundary and nonlinear initial problems is being formed. The result of the obtained system solving while studying shell deforming under conditions of large displacements and strains depends on simultaneous successful setting of a whole range of computational algorithm parameters. As far as the method of arbitrary search of parameters leads to irrational increasing the time of computer work with the program, the article suggests a reasonable setting of one of the algorithm parameters, namely, the number of segments into which the integration interval of quasi-linear boundary value problem is divided. The said number of segments is being determined at the stage of preprocessing with the help of authored automatic segmentation method, which was successfully applied earlier when solving the linear boundary value problems.

The article presents results of the three problems solutions on soft shell inflation by the pressure, uniformly distributed along meridian, using parameter differentiation method, one of the steps of which is the automatic segmentation method.

Selection of inflation problem of a cylinder from Mooney-Rivlin material fixed at its ends by a roller is stipulated by the existence of this problem analytical solution. Three cases of arbitrary selection of a number of segments, into which the shell is divided, and a case of automatic segmentation are considered. The article shows that it is possible in the last case to obtain an optimal combination of solution accuracy and iteration processes convergence rate. The choice of a hemisphere inflation from neohookean material fixed along the equator by a roller problem is dictated not only by the existence of analytical solution of this problem, but also by the presence of singular coefficients in resolving equation system Jacobi matrix at the problem integration interval. The said feature leads to the fact that in a fairly large vicinity of the shell pole the condition, used as a criterion of shell division into segments, is violated in each point of the meridian. As the result, the number of segments determined by the automatic segmentation method appears to be quite large. However, the problem solution result turned out to be one of the best among the shell segmentation options considered from the viewpoint of both solution accuracy and iteration processes convergence rate. It is worth emphasizing that in both examples under consideration, one of the options of arbitrary setting of segments number lead to a principally unsatisfactory solution result. Thus, the automatic segmentation method application is necessary to obtain correct solution. The problem of inflation of a hinged hemisphere of neohookean material is selected as it does not have analytical solution. As the result of calculations, it was established that automatic segmentation leads to the lowest iteration processes convergence rate among all the shell meridian division considered options. Along with this, with insufficient number of segments the solution obtaining turned out to be impossible. The performed studies revealed that automatic segmentation method application was necessary for the computer groundless actions minimizing concerning the calculation algorithm parameters setting, as well as for the problem solution results accuracy and iteration processes convergence rate increasing. Along with this, when solving problems, which resolving equation system has singular coefficients at some point of integration interval, the said method application requires additional studies, and apparently, application of some auxiliary techniques.

This paper presents the results for the modeling of the deformed state and the level of stress concentration around the micro-sized holes. Analytical solutions are derived for the deformations of an infinite plate containing a cylindrical hole within several simplified one-parametric models of the strain gradient elasticity theory (SGET). Namely, we used the simplified strain gradient elasticity theory, the couple stress theory, the dilatation gradient elasticity theory and the fully symmetric Gusev-Lurie theory, which all are the special cases of the general Mindlin-Tupin SGET. Linear elastic isotropic behavior of the material is assumed. New variant of the Papkovich-Neuber solution of SGET equations in terms of displacements is involved for analytical derivations. It is shown that this solution can be reduced to the standard Helmholtz decomposition for the gradient part of the displacement field and to the standard representation of its classical part. Based on the derived solutions we investigate the changes of the stress and strain state around the holes of different diameter. It is shown that the choice of a suitable variant of a simplified SGET model and identification of the length scale parameter for the certain materials can be performed based on the experimental data for the failure loads for the samples containing holes of different diameters (with a minimum size of ~100 µm). It is also shown that identification can be also carried out on the basis of direct methods of strain measurements around the small-sized holes, for example, by using digital image correlation methods, which requires the use of microscopy or, at least, macro photography techniques at the micro-scale level.

The article presents a new approach to the oscillation equations composing of elastic structures with cyclically symmetric structure. A cyclically symmetric elastic system is under consideration. At the k = 0, 1, 2, ..., N — 1 nodes of the system, located on a circle at equidistant points with angular coordinates of θ_k, the identic elastic rods of constant cross-section are being connected, working in tension-compression, torsion and bending-shear in and out of the plane of the system. To compose the oscillations equations of the system, both displacement and rotation angles components, symmetrical with respect to the radial plane passing through the k-th node, are being represented as cosine expansions in the circumferential direction, while skew symmetric ones are represented as sine expansions with wave numbers of n = 0, 1, 2, ..., N/2.

Expressions of potential and kinetic energies for all elements of the system are being composed. With account for the cos nθ_k and sin nθ_k functions orthogonality conditions for different n on a system of equidistant points, the terms of these expressions for different n from the set of n = 0, 1, 2, ..., are being obtained uncoupled among themselves. As the result, the Lagrange equations in generalized coordinates for a cyclically symmetric system with 6N degrees of freedom disintegrate into separate groups of six equations for each number n being accounted for.

Thus, the solution of the problem of a cyclically symmetric system oscillations of еру 6N order is being reduced to solving a number of problems for uncoupled subsystems of equations of the sixth order, representing separately harmonics n = 0, 1, 2, ..., ≤ N/2.

At present, different methods for solving the problem of hydroelasticity are applied. They allow solving a set of problems in question be means of assumptions and limitations with a required precision and reliability. To make engineer decisions while examining hydroelasticity problems, specialized computer software is used. It allows simplifying the calculating process of hydroelasticity problems and demonstrating a graphical solution of the problems. Thin-wall structures interact with viscous incompressible fluid, particularly plates and shell structures. They are used in machine industry, in instrument making industry, in aviation and space industry. Thus, one needs to build mathematical models and apply program systems to make decisions in designing machines and devices.The article consider the model of a mechanical system consisting of an absolutely rigid body (vibrator); an elastic rib, rectangular plate (stator) and viscous incompressible fluid. Using the Hamilton’s variation principle, the equation for the elastic geometrically nonlinear plate dynamics is derived. The mathematical model of the presented mechanical system consists of the incompressible fluid dynamics equations, the elastic geometrically nonlinear ribbed plate dynamic equations, the equation of motion for the absolutely rigid vibrator and the corresponding boundary conditions. The program for the analytical derivation of the dynamic equations for an elastic irregular nonlinear stator was developed. It takes into account the boundary conditions of a free support and the conditions of free fluid flow on the ends. The constructed mathematical model can be applied for the design of hydrodynamic supports. The mathematical model can be used in designing of hydrodynamic bearings that are operated in machine industry, in instrument making industry, in aviation and space industry.

The problem is posed to study dynamic characteristics of a three-layer cylindrical shell with the discrete filler, which is a regular system of cone-shaped (or pyramidal) cells arranged in a checkerboard pattern. Three-layer structures in various technical objects often have a honeycomb filler’s structure are widely used. Despite the obvious advantages of honeycomb filler (low weight, high rigidity), there are circumstances that prevent their wider use. The closed cellular structure prevents the removal of condensate entering the internal space. And the complexity of ensuring and controlling reliable connection of the aggregate with the bearing layers (especially on curved surfaces) increases their labor intensity and cost. The proposed discrete structure largely allows you to solve the above problems. The design features influence of the of this three-layer shells type on the stress-strain state and stability under static loading has been studied in sufficient detail earlier. A complete solid-state and FE-model of the investigated shell has been constructed. A modal analysis of the cell design was carried out as a next step, and then, having selected the zones of interest, the frequency response of the structure was investigated in order to plot the frequency response and frequency response. The NASTRAN solver is used to calculate eigen-modes and frequencies, the analysis type is set to Normal Modes / Eigenvalue. The geometry of the model was built using PLATE elements. In three-layer structures, the dynamic characteristics can be changed by varying the thickness of the bearing layers or filler and, thus, to obtain the optimal weight, damping, and also radio-technical parameters. To determine the frequency response, a harmonic Frequency / Harmonic Response analysis is performed. It allows you to evaluate the response of the structure with a sinusoidal action. To assess the considering filler structure feasibility a comparative analysis of the dynamic characteristics between smooth and three-layer shells of equal dimensions material, was carried out. Based on the obtained results, it can be concluded that with an thickness increase, and, accordingly, the filler rigidity, the natural frequency decreases, however, with an increase in the bearing layers thickness, an increase in the values of the natural frequencies is observed. Also noted that main vibrations emanating from gas turbine engines are in the range up to 5000 Hz, and the cone-shaped structure is preferable for use in places subject to dynamic loads.

The desire to increase the reliability of structures forces engineers and designers not only to turn to new materials, in particular composite materials, but also to the introduction of additional reinforcing elements that do not significantly affect the change in the weight of the structure. As such effective means is the use of stiffeners, which have become widespread in engineering practice. The foundations of analytical methods of structural mechanics applied to the problems of calculating ribbed plates and shells were laid by Russian scientists S.P. Timoshenko, I.G. Bubnov, P.F. Papkovich, V.V. Novozhilov, A.I. Birger. Currently, many scientists are also engaged in the calculation of ribbed plates and shells for strength and stability. In this paper, two analytical methods for calculating ribbed plates supported by a cross system of stiffeners are proposed: a method for calculating strength in determining the stress-strain state and a method for calculating stability in determining the critical load. The calculation of the stress-strain state and stability of the structures under consideration is associated with significant mathematical difficulties that an engineer can currently overcome with the help of modern mathematical packages. In this paper, the technique of strength analysis of the stress-strain state of a ribbed plate is implemented in the Mathcad package, and the stability problem is successfully solved in the Maple package. The calculation of the strength and stability of ribbed plates reinforced with ribs placed crosswise or parallel to one of the sides of the plate is considered. The proposed computational mathematical model is based on the replacement of the original ribbed plate with an equivalent flat isotropic plate. The stiffness characteristics of the equivalent plate are calculated taking into account the contribution of the reinforcing elements of the ribbed plate. It is assumed that the thin-walled structure is supported by a sufficiently large number of ribs located at a sufficiently small distance fr om each other, which allows their «smearing» relative to the median surface of the plate.Control examples of calculation according to the proposed methods are given. The results of analytical calculations are in good agreement with the results of numerical analysis performed by the finite element method in the MSC.Nastran/Patran package.The proposed methods will allow the engineer at the stage of preliminary calculation and design of the structure to identify the features of its stress-strain state, such as stress concentration sites wh ere it is necessary to reduce the size of the finite element grid during the refinement calculation in industrial packages of finite element analysis.

Тhe article presents in detail the algorithm for the numerical solution of the Navier-Stokes equations [12] by the meshless method [8, 10]. The described method is used for numerical simulation of blunt bodies flow-around by supersonic viscous gas flow [1, 2]. Cartesian-grid-based immersed boundary method presented in previously published works was successfully applied to simulate such flows in the two-dimensional planar and an axisymmetric formulation [3]. Numerical studies of the gas thermal impact change on the streamlined surface while the highly inertial particle motion against the incoming flow along the symmetry axis were performed by dint of it [4, 5, 6]. Particles motion along various trajectories required gas-dynamics problems solving in the 3D formulation, for which the Cartesian-grid based methods application required too much computer memory.

When solving gas-dynamics problems by the meshless method, a finite sets of nodes is being selected in the space. Approximation by the least square method is applied for spatial derivatives computing in computational nodes. The said approach is being used for convective and viscous fluxes computing. The convection fluxes are being computed by the AUSMPW+ method in conjunction with the MUSCL scheme and van Abada limiter. The system of equations time integration is being performed by the explicit Runge-Kutta method of the third order of accuracy. The flow-around surface is being represented by the model of isothermal wall with the specified temperature. Conditions of gas adhesion, as well as pressure gradient equality to zero, which modeling also employs the least square method, is realized on the said model.

The meshless method gives the opportunity to compute the gas flow in the areas with complex geometry, it is simpler in realization herewith compared to the finite volumes method, since it does not require generation of the high-quality computational grid. It allows setting anisotropic distribution of nodes in space, which is of vital importance for qualitative resolution of the boundary layer near the flow-around surface.

Along with the 3D realization, adaptation of meshless method for computing flat and axisymmetric viscous gas flows was performed.

The software implementation of the described method is realized in the C++ programming language and employs the OpenMP technology for computations parallelization.

A computational experiment was performed on modeling the sphere flow-around by the supersonic airflow at the Mach number of M = 3 and Reynolds number of Re = 10⁵ was conducted for the said method verification. The spatial shadow patterns of the flow, pressure field and Mach number are presented. Comparison of gas parameters in the boundary layer, obtained by the meshless method with the computational results of continuous flow combined with the boundary layer equations is presented. Correspondence of the gas computational parameters on the flow-around surface to the reference data and approximate-analytical expressions is demonstrated. The heat flow value in the critical point coincides with the one calculated with the Fay and Riddell formula, and the heat flow distribution curve along the surface is close to the approximate-analytical one.

The next stage in the development of the meshless method is planned to solve numerically the unsteady multiphase flows problem, in particular, to simulate the solid particles motion in the shock layer.

The spacecraft touchdown on the surface of planets and their satellites is one of the crucial flight stages. Since the planets surfaces are insufficiently studied, the kinematic parameters of the spacecraft movement may vary in a wide range.

For the spacecraft shock absorbing while touchdown, landing devices are being used, which should ensure a touchdown with permissible overloads and a stable position of the craft on the surface.

The landing gear consists of three or four supports, depending on the power scheme of the landing vehicle.

The craft shock absorbing while landing is performed due to energy absorbers placed in the shock absorbers of the landing device. A rod, honeycomb, pipe and tape (flat rod) are being applied as single-use energy absorbers, which absorb the energy of the craft while landing due to plastic deformation. The accounting for the landing device design elasticity will allow correctly determining the dynamic loads and stability area of the craft while landing, which is especially important when landing on comets or satellites with low gravity. When solving the problem of landing dynamics, the equations of motion of the landing gear supports are employed, with account for the elastic deformation of the structure.

The regard for the elastic deformation energy accumulated in the elements of the landing gear and in the places where they are attached to the body will allow determining the dynamic loads on the apparatus and structural elements, as well as correctly determining the area of the apparatus stability to overturning.

To determine the friction forces originating from the contact interaction of the heel of the landing device with the ground, experimental studies on the of friction coefficients measurement are being used. Tuff, basalt, foam concrete of different strength, sinter sand were being considered as analogous soils. AMG-6 aluminum alloy, MA2-1magnesium alloy, and OT4titanium alloy were being considered as a material for the heel of the landing gear support. It follows from the experiments that for all combinations of rubbing metal-ground pairs, the friction process is oscillatory.

When a spacecraft tpuchdown on bodies with low gravity, such as the Mars satellite Phobos, for which the acceleration of gravity is equal to df 0.005 m / s2, and even more so when landing on comets, for example Churyumov-Gerasimenko, for which the acceleration of gravity is up to 80 thousand times less than on Earth, accounting for the elastic forces of the landing device design when solving the problem of landing dynamics is essential. On the «Rosetta» spacecraft, three landing gear supports contain clamping motors to ensure landing on a slope without tipping over, which is possible due to the energy of elastic deformation of the supports.

When performing works related to soil drilling, the spacecraft must be securely fixed on the touchdown surface of satellites (comets). The clamping motors application here will be inefficient, since high axial forces are required while drilling, and the drilling time is rather long. In this case of touchdown, the spacecraft can be held on the surface with harpoons.

The subject of the research is the regularities of changes in the thermodynamic parameters of thermostating systems of rocket and space complexes, depending on the composition of their equipment. The purpose of the work is to improve the thermostating systems of special RKK equipment to ensure the specified heat and cooling capacity, as well as temperature to ensure and maintain the accuracy and stability of their output parameters. The article presents the main results obtained during the study. The exergic analysis of thermostating systems for objects of rocket and space technology has been carried out. Research has been carried out on the possibility of using heat pump installations for thermostating objects of rocket and space complexes, which allows obtaining energy of a higher potential using low-potential renewable energy from natural sources of heat or low-temperature secondary resources. The expediency of including a vapor compression refrigeration machine into the thermostatting system based on a heat pump installation has been substantiated. Conditions are formulated under which the use of a heat pump will be more profitable than the use of a chemical heat source. A method of comparative analysis of a heat pump and a chemical heat source is presented, the results of which showed that direct heating consumes approximately twice as much fuel as heating using a heat pump. A schematic diagram of a universal all-season thermostating system based on a refrigeration and heating unit has been developed. The work performed is theoretical and experimental. The provisions outlined in the work are the result of the analysis and generalization of the research results of Russian and foreign scientists in the field of thermodynamics and heat transfer, the theory of heat engineering, the theory and practice of operating thermostating systems for rocket and space technology, as well as the results obtained in the course of research on the topic of research work of organizations industry and military scientific organizations of the Ministry of Defense of the Russian Federation. The main research results can be used both at the design stage in the formation of requirements for ensuring the specified heat and cooling capacity, temperature conditions and improving the level of thermodynamic efficiency of various objects of special equipment of rocket and space complexes, as well as to ensure the required values of the output indicators of the elements of thermostating systems at the stage exploitation.

AdaptiveMobile has identified a vulnerability in the of the Network Slicing mechanism implementation, which could disclose information about arbitrary network segments or cause a denial of service. The vulnerability was assigned the CVD-2021-0047 number. Federal Service for Technology and Export Control (FSTEC of Russia) introduced vulnerability to the bank of threats and determined the level of danger as medium. One of the trends for this vulnerability elimination in the 6G networks is formulation of the classification principles and filtering of the 6G transport network traffic for effective application of the Network Slicing mechanism.

The basic principles of collecting, filtering and traffic classification of the data transmission network are as follows:

• Traffic filtering and classification is based on the analysis of the header fields of the data protocol units of L2 — L4 levels;
• Each consumer and operator data protocol unit (PDU) should be subjected to filtering and classification;
• The filter along with the the classifier represent a combination of certain fields of the header of the L2-L4 level PDU with ranges indication of their possible values;
• The class may include the PDU that meets the criteria of different filters. The PDU satisfying one and the same filter may correspond to different classes. In the latter case, such PDU should be copied to the storage corresponding to the different classes;
• PDU of different classes should be stored separately in data processing and storage centers;
• Filtering policy forming, i.e. a specific set of filters and class attributes, corresponds to the function of the SDN controller applications, which can act as external applications for the SDN transport network controller;
• Filtering and Classification policies delivery is being performed in the in_band mode in the transport network via VPN channels;
• Regional (border) data processing and storage centers may add filtering rules to the filters of their domain, with the permission of the main data processing and storage center,;
• The PDU network users gathering should be performed covertly for them;
• The network services consumers should not receive any information about the monitoring system, which includes the traffic classification and filtering system by means of their data transmission network;
• Filtering and classification policies may be dynamically changed, if necessary, by the monitoring system administrator in each of the regions, provided that the consistency of classifiers in different regions is maintained.

The proposed principles and ways of solving the filtering and monitoring problem are aimed at eliminating the dangerous CVD-2021-0047 vulnerability.

In cognitive radio systems including software-defined radio, an important task is to recognize modulation type of received signals under various signal-to-noise ratios in the communication channel. The detection of the modulation type in a received data packet can be used in ad hoc networks, as well as to provide dynamic spectrum access.

To solve this problem, there are few common approaches, including the shape detection of the signal constellation, the study of the statistical characteristics of the signal, the use of deep neural networks and others. The use of deep convolutional neural networks leads to higher accuracy for large sets of different types of modulation. In addition, implementing the neural network on an FPGA allows not only changing the weights of the neural network, but also configuring the types and arrangement of layers without replacing the hardware component.

The proposed system consists of hardware and software parts. The hardware part includes a Digilent Zedboard and an AD-FMCOMMS3-EBZ development board (based on an AD9361 configurable radio transceiver connected via an FMC connector). The software part of the system consists of the Petalinux distribution kit version 2019.1, the Linux industrial I/O driver, developed software for pre-processing the received signal and a trained neural network model.

The developed software part performs the pre-processing of the signals and controls the configurable coprocessor located on the FPGA. The pre-processing consists in normalizing the received signal. Moreover, as the coprocessor does not support the softmax layer of the neural network, the necessary calculations are performed at the post-processing stage.

To train the neural network, a set of samples of radio signals with different types of modulation (dataset) was generated in the Matlab environment. The generated signal samples were transmitted at a 1 GHz carrier frequency over a low noise wireless channel. The carrier frequency was chosen arbitrarily as it does not affect the processing algorithm. Before transmitting the signal, the transceivers were manually calibrated in order to reduce the frequency desynchronization, however, during the transmission; the frequency deviation value was being changed arbitrarily. The received signals were pre-processed and divided into bursts of 1024 samples in the in-phase and quadrature channels. Then AWGN with different power was added to the samples. Thus, samples with various SNR in range −5...15 dB with step 1 dB were formed in the dataset.

The use of the DPU v3.2 coprocessor allows it to perform necessary computations for the neural network in the FPGA. We decided to use a compact neural network with a small number of Inception modules and fast connections.

The most significant impact on errors in determining modulation at high SNR is the incorrect classification of the 8-PSK and 16-PSK modulations — instead of the first type, the second is often predicted and vice versa. At low SNR QAM modulations of different orders are erroneously classified as higher order QAMs due to the influence of noise.

Despite this fact, the developed system shows an average accuracy of 90% of successful recognitions for SNR values above 12 dB and 70% and higher for SNR values exceeding 2 dB. The proposed system has great flexibility and a large possibilities for further improvement of performance.

One can use digital receivers based on undersampling (sub-Nyquist receivers) to solve tasks of ESM, cognitive radio communication, electronic signals intelligence and passive radar. The main advantage of the sub-Nyquist receiver for the user is software adapting the characteristics to the current tasks and the signal-interference environment. The efficiency of the sub-Nyquist receiver largely depends on the accuracy of determining the time-frequency parameters of the received signals. Since we can consider any signal as a pulse during a long-term analysis of the signal situation, it is advisable to carry out the study for individual pulses with the accumulation of measurement statistics. We investigate the errors in determining the carrier frequency and pulse duration to estimate the accuracy of measurements on the device’s prototype. We obtained the results in the form of dependences on the carrier frequency and the duration of the received pulse. With a decrease in the pulse duration, the mathematical expectation and the standard deviation in determining the frequency increase. The average relative error in determining the pulse duration increases with decreasing pulse duration. The standard deviation of the error in determining the duration for long pulses is more significant than for short ones. The article describes in detail the reasons for these phenomena. The most critical errors, as expected, correspond to short pulses. Analyzing existing radio systems allows us to conclude that obtained errors are acceptable for wideband analysis tasks. An additional increase in the accuracy of determining the frequency-time parameters of the signal can be performed based on the approaches proposed in the paper.

As far as the transition to a submillisecond accuracy level of optical angle measurements in space is inevitable in the near future, and the joint use of an onboard space optical arc meter-interferometer and optical laser beacons will significantly increase the accuracy of measuring spacecraft equipped with beacons. The small mass-and-size characteristics of beacons and their low energy consumption allow retrofitting the devices already prepared for launch with optical laser beacons, without going beyond the limits of the spacecraft design mass saving.

A simplified version of the «OSIRIS» astrometric arc meter-interferometer of the microsecond accuracy level — the LIDA device for applied use is capable of achieving the accuracy of coordinates determining of the spacecraft equipped with optical laser beacons, almost four orders of magnitude higher than is currently achieved when near-Earth space monitoring. The LIDA arc meter-interferometer can be placed onboard a small spacecraft or be a passing load. GLONASS spacecraft observation by a space optical arc meter-interferometer of, provided they are equipped with optical laser beacons, will allow increasing coordinates accuracy determining of the spacecraft of this grouping to a centimeter level (or even better).

Spatial position measuring of a spacecraft in the interplanetary space is extremely important for correcting the spacecraft trajectory during interplanetary missions. Until now, there are still no autonomous navigation systems of this level. In search of an acceptable solution to this problem, the Americans are even making attempts to develop navigation principles for measuring pulsed radio emission of pulsars. Angular positions measurements of the spacecraft with the onboard optical laser beacon by a space optical arc meter-interferometer will lead to the errors by the position in the tangential direction even at the distances of one million kilometers, not exceeding the size of the spacecraft. These capabilities are unlikely to be in demand in the decades to come for practical navigation. However, they may be of interest to fundamental science, for example, to clarify the gravitational constant magnitude and the scale of the Solar System.

The article considers the possibility of applying structural dissimilarities between the mixture of valid signal and noise, and simply noise to receive weak signals in digital information transmission systems. The presented work demonstrates that for structural differences application for the task of a radio pulse detecting against the background of noise and interference, it is necessary to employ non-linear conversion. One of the technical solutions consists in a phase detector application. The article shows the possibility of the research results utilization for developing two-channel receiving units with enhanced noise immunity for digital signals transmission. The possibility of substantial noise immunity increase of the receiving unit by extra receiving channel application with phase detector is shown.

This signal receiving technique may be successfully employed in the regions remote from the cities devoid of the developed internet communication structure. The areas of national economy, included in State programs, such as »Far East Hectare» and similar purpose-oriented programs, financed by the local budgets of Russian Federation provinces and regions may be given as an example of the area of low-power digital data transmission systems employing.

State programs such as the Far Eastern hectare and similar targeted programmes financed from local budgets of regions and regions of the Russian Federation.

The author considers the application of the second-order optimization algorithms for stochastic optimization problems with the probability function as the objective or/and constraint function. The approximation of the probability function is based on the replacement of the Heaviside function with its smooth analog — the sigmoid function. It has been shown previously that such approximation and its first order derivatives with respect to the elements of the control vector converge to the exact ones. Moreover, the replacement of the probability function with its smooth approximation within the stochastic optimization problem leads to a good approximation of the optimal control vector and the optimal value of the target function. The smooth approximation of the derivatives allows us to use the first-order optimization algorithms. Now the direct formulas for the second order derivatives of the approximated probability function with respect to the elements of the control vector are provided. The proof of convergence of the second-order derivatives is not considered in this research. Possible applications of such approximations include the development of the new numerical algorithms for solving stochastic optimization problems, and new algorithms to determine the surface level of the probability function.

Some numerical examples are considered in this article. For the cases of linear, quadratic, and logarithmic loss functions it was shown that the values of the smooth approximation of the probability function and their derivatives tend to exact values as the parameter in the sigmoid function tends to infinity. Also, an example of the constrained stochastic optimization problem with the logarithmic loss function and the probability function as the target was considered. The modification of Newton’s method is used to solve this problem to determine an optimal investment portfolio with three possible assets.

The article proposes a technique for monitoring the technical condition of on-board systems of space-rocket and technology based on the rapidly changing parameters processing on a time scale close to real. This technique novelty lies in the proposal of a new of quality indicators system, on which base the estimated characteristics of rapidly changing parameters are being selected for the technical condition monitoring of onboard systems of space rockets at the operational processing stage. The process of initial data preparation for the of diagnostic signs forming based on the rapidly changing parameters processing to analyze technical condition of the onboard systems of space-rocket technology at the operational stage is under consideration.

The task of rapidly changing parameters processing on real-time scale is being set, and both restrictions and goal function are being described. The authors propose a quality indicators system, by which the decision is made on one or another alternative selection. The article presents classification of methods for optimization problems solving, as well as optimization methods, on which basis statistical search method for the set problem solution was selected.

The system of indicators, which includes indicators of accuracy and efficiency of rapidly changing parameters’ characteristics processing option, as well as of the technical condition monitoring completeness indicator of onboard systems of space rocket-technology is disclosed.

The article solves the problem of the rapidly changing parameters processing option selection the best by the efficiency indicators with account for accuracy limiting, as well as by the technical condition monitoring completeness indicator of onboard systems of space rocket-technology. A practical example of this technique application in the object domain is presented. Certain characteristics of rapidly changing parameters of the space-rocket technology from documentation, as well as the set of initial data for the set of alternatives forming were employed as a practical example.

The developed technique includes a number of steps. At the first step, the initial data is being formed as a set of all alternatives. At the second step, a set of alternatives, reduced according to the accuracy indicator, is being formed from the one obtained at the previous step. At the third step, a set of alternatives, reduced according to the technical condition monitoring completeness indicator of onboard systems of space rocket-technology, is formed from the one obtained at the previous step. At the fourth step, the best set of characteristics is being formed in terms of completeness indicator, which can be processed on a real-time scale. At the fifth step, a set of diagnostic features from the characteristics of rapidly changing parameters is being combined with the existing set of diagnostic features. A new requirement for the telemetering program and for making changes to the instructions for evaluating the operation of on-board systems of space rockets is being formed at this step

A set of 26250 alternatives is presented as an example. The number of alternatives was obtained as the number of combinations from the ten characteristics of rapidly changing parameters extracted from the documentation on telemetry information processing of the Soyuz-2 launch vehicle, three methods of characteristics processing, five window functions, five options for window function size, five options for window function steps and seven options for processing nodes. This number is being considered for an example, since the Soyuz-2 launch vehicle uses 369 characteristics and much more other variables. A complete set of variables consideration is impractical, since it will lead to the need for about two million alternatives considering.

Inferences on the presented technique applicability in the object area to form diagnostic signs for the technical condition analyzing of onboard systems of rocket and space technology are drawn. The developed technique application is expedient for improving the algorithms for the technical condition analysis of onboard systems of space-rocket technology at the operational stage.

The purpose of the research consists in developing an optimization algorithm for continuous systems in the class of piecewise constant controls. In classical problems of optimal control of continuous systems, the admissible controls are, as a rule, bounded measurable ones (in applied problems, they are piecewise continuous). In some complex continuous systems, physical implementation of such admissible control seems impossible Then one can narrow down the set of admissible controls, for example, to the class of piecewise constant controls with a fixed number of switchings and search for a solution in this narrow class. It is clear, the suboptimal controls herewith will be obtained, which, however, with an unlimited increase in the number of switchings, will tend to the optimal one. Thus, the problem of minimizing the number of switchings becomes actual.

To solve the set problem, a numerical-analytical algorithm has been developed based on the necessary conditions for optimality of switched systems. Boundary problems and formulas expressing the optimal values of piecewise constant control are obtained analytically, according to the necessary conditions. The resulting system of equations, as a rule, is transcendental and its solution is rather difficult. Thus, the author proposes to use the numerical minimization of the functional, followed by fulfillment verification of the necessary conditions to search for the optimal switching moments. The proposed algorithm is realized in MATLAB.

The problem of a linear oscillator controlling with quadratic functional is being considered as an example. The optimal solution to this problem in the class of continuous controls was obtained using the maximum principle. In this work, the optimal solution to the problem in a narrower class of piecewise constant controls is being searched for. This solution is being found using necessary conditions for the switched systems optimality. It may be regarded as a solution close to optimal continuous control. Besides the problem of an optimal piecewise constant control synthesizing, the problem of finding the minimum number of switchings, at which the difference between the approximate solution and the exact one does not exceed a given error is also solved.

The main result of the work is a numerical-analytical algorithm for minimizing the number of switchings of optimal piecewise-constant controls for an approximate solution of the optimal control problem for continuous systems.

With the wireless protocols development, reconfigurable computing systems consisting of multiple processor modules keep on evolving. Systems based on wireless protocols are being considered as prospective for reconfigurable systems building. The purpose of this work consists in reducing the time consumptions contributing to a reconfigurable real-time system performance improvement. The research methods employed in this work are based on the set theory definitions, graphs, probability theory and mathematical statistics. Particularly, the graph theoretical approach to distribution supplemented with introduction of the system of the real-time reconfigurable computing system criteria, built on the wireless protocol, is taken as the technique basis. The research task consists in developing a technique for building a computing network based on the wireless protocol, ensuring data exchange between spatially separated processor modules, as well as an algorithm for building the computing network, which realizes the developed technique.

This article presents the developed technique and algorithm for building a computer network based on a wireless protocol. The developed technique novelty consists in introduction of the distance factor for more accurate selection of the preferred processor module for the wireless network. The developed technique and algorithm of a real-time computing system built on a wireless protocol allows ensuring the optimal tasks distribution organizing in a reconfigurable computing system. It appears possible to develop software for distributing computational tasks to processor modules in order to reduce the time spent on data transmission within the system based on the presented algorithm.

Fuzzy logic methods have found wide application in control problems. However, when using the apparatus of fuzzy logic, it is necessary to sel ect models of fuzzy logical operations, being selected fr om empirical considerations. This complicates the algorithms construction for specific problems solving. Application of »classical» operations is justified only for solving simple problems and does not require a large number of rules. The purpose of the study consists in modernizing the vector-matrix approach applicable to the design of a neuro-fuzzy adaptive meter for the oxidizer of a gas turbine engine algorithm. The vector models application is being proposed, aimed at the ease of implementation, high speed and of the field application expansion.

Practical significance consists in application of the vector-matrix approach of adaptive fuzzy control in the design of the combustion chamber coefficient meter of a gas turbine engine allows computational accuracy increasing, training time reduction, the scope of application expanding at the non-deterministic objects automation in the MISO system.

Application of the matrix apparatus replaces the projections of the linguistic variable (term-set) vector with the fuzzy vectors. The main operations on fuzzy vectors are given in the works of M.A. Martsenyuk, on which basis the design of a vector fuzzy oxidizer of the combustion chamber of a gas turbine engine is considered. Relevant is application of a singleton base for fuzzifier fuzzy vectors activation, as well as the fuzzy forward and backward vector implicators application for the turboprop scalar control forming. Vector-matrix representation of the initial information is convenient when programming the state-of-the-art controllers of various objects. The disadvantage of this representation consists in the fact that it is not adaptable. Thus, the article proposes to supplement the vector part of the meter with Sugeno polynomials, which coefficients are being adjusted with the teacher by least squares method.

The main priority of the Russian Federation in the field of military construction is the creation of a modern army, the basis of which are systems and complexes of weapons, military and special equipment, which include robotic complexes (RTK), providing an adequate response to the entire range of security threats, not only existing, but also likely in the future. Nowadays the nature of modern wars has significantly changed, which have become high-tech, dynamic and remote, requiring fundamentally new approaches to both their conduct and military-technical support. Therefore, to modern robotic security complexes strict and, as a rule, contradictory requirements on providing such quality indicators as reliability, efficiency and completeness of problem solving, which is explained, first of all, by a priori uncertain dynamic environment in which the complexes operate. Maintaining these quality indicators of RTK group control at a given level is the most important factor in ensuring effective protection of critical facilities.

With the increase of combat capabilities on the part of the enemy, the difficulty of controlling a group of RTK increases, it is no longer possible to maintain a given quality of their functioning manually. To solve this problem is possible only on the basis of automation of the process of RTK group control, i.e. development and creation of such adaptive system of group control of complexes, which under unpredictable influences of external conditions, based on analysis of own state of complexes changed values of parameters and/or structure of their interaction so that the preset quality of functioning of complexes for achieving common goal was kept.

The purpose of this article is to develop a methodology for assessing the quality of group interaction of RTK when countering the enemy, based on the assessment of the contribution of each group complex to solving the overall target task. Group interaction of complexes is formed by adapting the group control system of RTK to terrain conditions, changing quantitative and qualitative characteristics of the enemy.

The main problems facing the design of RTK is the complexity in the organization of their out-group and in-group interaction in a changing and non-deterministic environment, in the face of enemy opposition.

One of the ways to solve these problems is to build a hybrid control strategy, i.e. integration of functional capabilities of centralized, collective, swarm and swarm control, in which, depending on changing and uncertain out- and in-group conditions, behavior of each complex is built on coordinated actions with neighboring complexes, which, in turn, depend on intentions of the complex itself in given conditions.

In order to maintain a given quality of functioning of a group of complexes it is necessary to control the parameters, algorithms of their work and structure. At the same time control actions should be formed as a result of analysis of actual information received from means of reconnaissance RTK, internal controlled parameters of the complexes themselves.

We have developed a methodology to assess the quality of RTK group control under conditions of changing background conditions, which represents a complex of models, the results of which together allow to achieve the set goal, namely: a model of detection of the enemy by RTK reconnaissance means based on the analysis of influence of terrain conditions and enemy characteristics, a model of counteraction of a RTK group based on equations of average dynamics, a model of assessment of probability of enemy defeat by RTK group under conditions of changing number of parties and chaos.

The theoretical basis for the development of the presented methodology is the developed fundamental and applied research in the field of robotic control systems, viz:

• artificial intelligence and intelligent robot control systems;
• automatic control systems with variable structure;
• adaptive predictive control systems;
• theory and methods of optimizing the structure of information and control systems;
• methods of secondary processing and image recognition;
• spectral methods for analysis and synthesis of systems with random structure;
• modeling of information systems;
• nonlinear dynamics methods;
• combat models;
• operations research in military affairs.

The practical significance lies in the fact that the developed methodology of assessing the quality of group interaction of robotic complexes will allow to form the image of an adaptive system of group control of complexes, as well as to develop recommendations on the forms and methods of group application of RTK when solving problems of countering the enemy.

The low temperature co-fired ceramic (LTCC) technology was selected as the technology under study. This technology has found wide application for the manufacture of RF and microwave microcircuits of low and medium degree of integration and can be applied in various industries such as telecommunications, medicine , automotive, military and space technology.

Variable data of LTCC technology (sheet sizes, pastes naming, time, equipment setup, and others) are scattered throughout the documentation. The number of documents and procedures for production, control and management is quite large.

The presented article proposes a method of structural-parametric description of the LTCC technology to improve the quality of the of microwave components production.

Based on this method, a database based on MS Access was developed.

The MS Access database has a number of disadvantages, since it is non-networked and does not allow making multi-user systems.

These problems are being solved by the SQLite DBMS, which will be discussed in detail in this article.

The process of a database creating in the SQLite DBMS for the microwave components production developed on the Qt framework is proposed.

SQLite is a C ++ Qt framework library that implements a small, fast, self-contained, highly reliable, full-featured SQL database engine.

Databases are being partitioned into: 1) server databases, to which one can connect from different devices, and the data itself is stored on a specially dedicated server (MySQL, MS SQL, PostgreSQL); 2) stand-alone databases, to which SQLite belongs.

SQLite implements a standalone (serverless) transactional SQL database engine with no installation, setup, or configuration required. Its code is an open source, and it is free to use for any purpose, commercial or personal. SQLite reads and writes directly to regular files on the disk. Thus, a complete database with multiple tables, indexes, triggers, and views is contained in a single file. The database file format is cross-platform, i.e. one can freely copy the database between 32-bit and 64-bit systems or between direct order and inverted order bites architectures. The Qt framework contains a universal interface for working with various databases. The databases in the Qt view are the drivers for the QtSql module. By default, when installing the framework, the SQLite database is available, for the rest of the databases, one need to install and build drivers for Qt.

Qt provides an extensive database compatibility, with support for both open source and proprietary products. SQL support is integrated with Qt’s «model-view» architecture, simplifying GUI applications integration with databases

The way of data aggregation in general form, as well as the relationship of tables in which the data is stored, and the way of data aggregation into aggregated indicators and portraits are presented.

Assembly and connection of the other database libraries (PostgreSQL / MySQL / ETS) are adduced.

A detailed process of a database creating in the SQLite DBMS for the microwave components production based on the LTCC SQLite Qt is shown.

In the technique being proposed the spline wavelets, built on the basis of an uneven subdivision scheme and a lifting scheme, are being employed for solving problems of the elasticity theory. The choice of such basic functions is justified by the fact that wavelets have a number of advantages compared to other basic functions. For example, the lifting scheme application allows composing wavelets with the given properties, such as smoothness, compactness of the carrier, symmetry, the required number of zero moments, vanishing at the boundary of the domain of functions corresponding to non-boundary mesh vertices. Lately, the wavelet analysis is attracting a lot of attention from the researchers, scientists and specialists in various disciplines. There are several reasons why wavelets are being successfully applied in signal processing, information compression, methods for finding approximate solutions of differential and integral equations [1, 2], computer geometry [3-5]. Such reasons include the following. Firstly, the high rate of wavelet coefficients decay. This allows obtaining rather accurate function approximations employing only a small number of summands in the expansion. Secondly, availability of fast cascade algorithms for finding coefficients of the function wavelet expansion. Thirdly, many commonly used wavelets (such as spline wavelets and Daubechies wavelets) have a compact carrier. In the proposed technique, a wavelet-system, consisted of smooth functions with the compact carrier, was built using the lifting scheme and a mask.

Such wavelet systems may be employed for finding approximate solutions of partial differential equations and, as a consequence, they may be applied to solving problems of the elasticity theory. This application presupposes the use of the least squares method for finding approximate solutions of boundary value problems of mathematical physics [7].

Unmanned Aerial Vehicles (UAVs) has been the research subject of several recent applications. This paper describes the flight dynamics simulation and automatic control system architecture development of the tilt-rotor UAV. This tape of vehicle combines the high-speed cruise flight capabilities of a conventional airplane with the hovering capabilities of a helicopter by tilting their four rotors. The paper presents a mathematical model of convertible unmanned aerial vehicle (tiltrotor) and the architecture of a unified automatic control system for all flight modes of the tiltrotor. The authors propose a control system structure that uses a limited set of »top-level» control parameters, including the total engines thrust and three moments acting on the UAV. The principle of forming the total thrust and moments by means of redundant set of »lower level» effectors, including engines orientation angles and each engine thrust, as well as aerodynamic control surfaces deflection, is determined. The possibility of using the proposed control principle is confirmed by the results of flight dynamics simulation of UAV executing a typical application scenario including vertical take-off and landing modes, flight along a given route and transient acceleration and deceleration modes. The paper considers the issues of assessing the safety of UAV flight in the event of possible individual control failures, taking into account the existing redundancy. A criterion for assessing controllability in the form of the maximum guaranteed angular acceleration is proposed which allows comparing the consequences of failures of each control effector. The paper shows that in order to guarantee UAV controllability we need to impose requirements on the choice of controller operational algorithms, both in the UAV angular motion control loop and in trajectory motion control loop.

The purpose of the research consists in generalizing the principle of a combination of movements to the circular movements. The relevance of the work is stipulated by the fact that in technical systems, including aviation and space technology, particularly, in aircraft transmissions, bearings, orbital systems, helicopter mechanisms and many others, combined rotational movements are widespread, and it is important to represent the nature of the total movement when designing. The author considers an xʹ0ʹyʹ coordinate system, which rotates in an x0y one without angular acceleration with the velocity of ɷ. The radius of rotation is ρ₁. Wherein 0x||0ʹxʹ, 0y||0ʹyʹ. The object a rotates in a  xʹ0ʹyʹ coordinate system without angular acceleration at a speed ±ɷ. The radius of rotation is ρ₂. All standard characteristics of the ellipse were determined in relation to the case under consideration. The elliptical trajectory inclination is set. The article shows that in the case of the trajectory of the total motion is elliptical and the semiaxes are equal to (ρ₁+ρ₂) and |ρ₁–ρ₂|, the object performs circular motion in the coordinate system xʹ0ʹyʹ without angular acceleration with velocity –ɷ. Just as the result of the two nonaccelerated movements superposition is also an nonaccelerated movement, i.e. it is uniform and rectilinear movement, at rotations in the same direction the trajectory of the total movement represents a circumference. At circular motions with multiple speeds, the trajectory of the total motion represents spirals. The practical aspect of the study is being determined by the fact that the formulas obtained can be directly used in CAD when performing design work.

The main subject of study in this article concerns the variational formulation of gradient models of elasticity and specific symmetry conditions in gradient theories of elasticity of a general form. Special attention is being paid to the symmetry conditions, which are a consequence of the fact that it is possible to change the order of differentiation in the components of the displacement gradient tensor in the potential energy density expression. First, the conditions of symmetry in the theory of elasticity and gradient elasticity are discussed, the features of the properties of symmetry in gradient models are noted in comparison with the classical theory of elasticity. Then the variational statements of gradient elasticity and the structure of the boundary conditions following from this statement are briefly discussed. Finally, the conditions for the formulation correctness of the of boundary value problems and their connection with the symmetry property of gradient elastic modules are established. This article presents the symmetry conditions analysis for components of the generalized elastic properties tensor of gradient models of elasticity. It is demonstrated that one of the conditions is related to the correctness of boundary value problems of gradient elasticity theories. It is established for the first time that physically and energetically insignificant components of the elastic modulus tensor may appear on the surface under boundary static conditions for stresses (with variations in displacements) and under boundary conditions on the contours of edges, which can lead to significant errors in solving applied problems. A procedure allowing always obtaining correct boundary conditions for arbitrary optioins of gradient elasticity theories is presented.

The objects interaction with a high-speed flow is accompanied by the occurrence of high dynamic and thermal loads. At the same time, it is necessary to ensure the reliability of functioning and the efficiency of movement control. One of the directions for improving the aircraft movement control efficiency is the development of gas-dynamic movement controls, movement stabilization and reduction of temperature loads on surface areas. In this regard, it is necessary to correctly determine the thermal regimes of the most heat-loaded areas of the aircraft surfaces. For this purpose, the study of thermo-gasdynamic processes near a conical surface with the presence of gas injection into a high-speed flow was carried out. A mathematical model of a high-speed flow around a body with the presence of gas injection into a high-speed flow is presented, which takes into account the processes of chemical kinetics that occur in air at high temperatures. The air was considered as a mixture of five components (O₂, N₂, O, N, NO). In the first approximation, for the model of chemical kinetics, the initial five reactions of the Park K. model are applied. With regard to motion in the upper layers of the atmosphere, these reactions describe the main features of the processes occurring in air at high temperatures. The rate constants of each forward and reverse reaction are determined using the generalized Arrhenius formula. Investigations of the processes were carried out in a high-speed flow (M_∞ = 10) of a conical surface (θ = 10^о) with gas injection holes located along the generatrix at a distance x/l = 0.3, 0.6, 0.9 from the nose. Free stream parameters: P_∞ = 79.8 Pa, Т_∞ = 270.7 K, mass fraction γN₂ = 0.767, γО₂ = 0.233. The parameters of the injected jets Tj = 293 K, J = 4.95 is the coefficient of penetration of the gas jet into the high-speed flow [4,5]. The mathematical model was verified by comparing the results obtained in a numerical experiment with the data of [7] and [8]. A good correlation of the calculation results was obtained. Small differences in data may depend on the choice of the chemical kinetics model and, accordingly, the reaction rate constants. Verification of the results obtained using the mathematical model with the results obtained experimentally showed a good visual coincidence of the shock-wave structure. Application of the model of chemical kinetics made it possible, in the first approximation, to obtain the thermodynamic parameters of the high-speed flow near the investigated body with the gas-dynamic movement controls with sufficient accuracy. Comparison of the temperature data obtained in the course of the full-scale and numerical experiments showed a discrepancy of the order of 18—23%. he data obtained in the course of the research showed that the developed mathematical model gives sufficiently accurate results and allows them to be used in the study of processes occurring near a body in a high-speed stream with a gas-dynamic movement controls.

The article considers coupling of the pipelines by the non-contacting flanges, which is being pressurized by installing a Z-shaped metal seal into the connecting block. The issue of the coupling assessment necessity with a view to the seal edges breakaway from the flangesrsquo; surfaces is being put forward. This checkup should be performed prior to the tightness computing, since it may appear that the wedge-like seal edge breaks away from the seal surface under the impact of the internal pressure or axial external force, which leads to the impossibility of performing sealing functions by the assembly. Computational models applied by the author in the previous articles while obtaining expressions describing the pipelines flange coupling behavior with the Z-shape metal seal at the stage of both loading by the internal pressure and axial force were used. Derivation of expressions for the depressurizing loads is being based on introduction of other initial data concerning values of the force factors acting on the parts of the coupling. The reverse problem is being solved. Previously, the contact load was being defined through the known internal pressure and external axial force. In the present case, it is necessary to find the internal pressure of the external axial force, which will be the possible depressurizing load, by the known contact load on the detached edge. In the case of both with the internal pressure and external axial force, two possible values of the pressure and depressurizing force will take place, namely in the case of the upper or lower edge detachment. Minimum of the two possible values is being selected as the depressurizing force. As the result, the possibility will arise to define which edge will be the first to detach.

The article presents the studies of mechanical characteristics of a new composite material. The beam-shaped samples of rectangular cross-section from the laminar composite material were fabricated. The composite represents a pack of aluminum-lithium and fiber-glass plastic sheets of 0.3ndash;0.5 mm thickness. The effective elastic moduli of the composite pack obtained this way were determined by the experiment for quasi-static uniaxial tension. The basic dynamic tests were performed for cantilever beam samples made from the aluminum-fiberglass composite laminate for the freely damped oscillations. The freely damped oscillations were being excited kinematically by applying some initial transversal translation to the free-end section of the beam or dynamically by applying some transversal concentrated shock load. The gain-frequency characteristics of the samples of various geometric dimensions were obtained, and the peaks on the gain-frequency curves corresponding to the resonant frequencies of first eigenmode oscillations were revealed. The effective elastic moduli of the composite material were computed employing the obtained results. The damping factors of the studied composites were determined using the measured peaks widths in the vicinities of the resonant frequencies. The appropriate statistical analysis of the obtained tests results was performed, scattering of the results, corresponding to the samples of different widths was revealed. The exact solution to the direct problem on oscillation of the cantilever composite beam of laminated structure with the assigned physical constants was obtained for the accuracy evaluation of the obtained results. A model of transversal oscillations of the beam was developed, accounting for the transversal shift deformation, but neglecting the cross-section crimping deformation. The longitudinal and transverse translations of a point along the line, connecting the symmetry centers of cross-sections as well as the angles of rotation of cross-sections around transverse horizontal axe, are accepted as the model main kinematic variables. Relations for the deformations are written, and equations for both kinetic energy and strain energy of an oscillating beam are obtained. The appropriate equations of motion as well as their natural boundary conditions were obtained by the Hamilton variation principle. The boundary value problem for harmonic transverse oscillations of the cantilever beam was stated, and the corresponding characteristic equation for the frequency was derived. This equation is transcendental, and is being solved numerically. The complex moduli approach was applied to account for the damping effects. The frequencies and damping decrements obtained after the numerical-analytical solution of the direct problem of the beam oscillation are in good correlation with the test data.

A method of topological optimization of geometry of reinforcing panels loaded with concentrated forces is proposed. The proposed method is based on the numerical solution of the deformation problem of a panel of variable thickness. The optimization parameter is the thickness of the panel defined by a fictitious density function. The objective minimized function is the total energy of deformation of the panel. As a result of solving the optimization problem, an arrangement of stiffening ribs is determined which provide, at their own minimum mass, a maximum increase in the stiffness of the structure. The advantages of the proposed method, as compared with the standard topological optimization approaches, are the reduced requirements to the computational resources and the possibility to obtain the geometry of the stiffening ribs, which can be manufactured, for example, by milling. The paper investigates the effectiveness of the approach used in comparison with variants of regular finning of panels. It is shown that for some loading variants mass efficiency of optimized structures can be more than 2-5 times higher in comparison with the best variants of regular finning. Application options for numerical calculations of both classical plate theory and revised theory taking into account the transversal shear are considered. It is established that in the considered optimization problems with the condition of minimization of total energy of deformations application of classical theory is more effective.

The scientific and methodological foundations for solving dynamics problems of technological and transport objects, operating under high vibration loads, are being developed. The purpose of the study consists in developing methods for dynamic properties analyzing of technical means (machines, equipment, devices), which design schemes are being reflected in the form of mechanical vibratory systems with several degrees of freedom. The studies are based on application of analytical apparatus of system analysis and its applications to the problems of machines dynamics, equipment and instruments protection fr om the vibrational impacts, which constitutes the basis for operational safety and reliability provision of hardware components. The issues of extra bonds, being realized by the simplest mechanisms, impact on the dynamic properties of the systems were regarded. Specifics of mechanical vibrational systems were studied based on introducing the notions on frequency systems and their forms. Specifics of dynamic vibrations damping modes under single and joint (by two coordinates) effect of the two periodical disturbances were studied. The numerical modeling data is presented. Characteristic modes of natural vibrations can be distinguished in the dynamics of mechanical vibrational systems, being regarded as design schemes of technical objects of both transport and technological purpose. Vibrations occurring herewith reflect the system reaction on the harmonic type external disturbances, representing movement of elements with certain amplitudes vibrations ratios along various coordinates. These ratios are being formed based on the parameters values of the system elements at the introduction notion on frequency functions, associated with the detailed regard of potential and kinetic energies ratio, as well as natural vibrations frequencies function of the energy expressions structure. Particularly, extremal property of the potential and kinetic energies ratio of the system is associated with the natural vibrations frequencies values. Within the framework of the approach being developed, the effect of frequencies closing-in of the dynamic vibrations damping to the one of the natural frequencies was considered. The possibility of the lim it mode of the mechanical system realization with two degrees of freedom in the form reduction to the system with one degree of freedom was demonstrated.

The unsteady deformation of a thin, infinitely long circular cylindrical shell of constant thickness under the impact of a concentrated shock load distributed over an arbitrary region on its lateral surface is being studied. The shell material is assumed to be linearly elastic, anisotropic, and symmetrical about its middle surface. The Kirchhoff-Love model is employed to describe the shell motion. The motion of the shell is being considered in a cylindrical coordinate system associated with the axis of the cylindrical shell, and the sought-for function of the normal non-stationary deflection is constructed by connecting the Greenrsquo;s function with the function of the operating load using an integral operator of the convolution type in spatial variables and time. The Greenrsquo;s function for an anisotropic shell is a solution to a special problem of the impact of an instantaneous concentrated load on the shell, mathematically modeled by the Dirac delta functions. Expansions in exponential Fourier series, integral Laplace transform in time and integral Fourier transform in longitudinal coordinate are being used to construct the Greenrsquo;s function. The inverse integral Laplace transform is being performed analytically, and the original integral Fourier transform is being found using numerical methods for integrating rapidly oscillating functions. The integrals of the convolution of the Greenrsquo;s function with the load function are being taken with quadrature formulas using the rectangle method. As an example, the unsteady dynamics of cylindrical shell was sstudied under the impact of arbitrarily time-dependent concentrated load and load distributed over the finite area belonging to the lateral surface of the shell. Several options of symmetry of the elastic medium (isotropic, orthotropic and anisotropic) herewith were analyzed, which demonstrates calculated solution versatility both in terms of influence nature and shell material. For the considered symmetry options, the study of the unsteady vibrations propagation character, which allowed evaluating the solution adequacy, was conducted.The presented approach to constructing the unsteady deflection function while transition to the dimensional values opens opportunities for the analysis of the stress-strain state of the extended cylindrical shells with account for various options of the material anisotropy and law of distribution of the unsteady loading along both coordinates and time.

This article discusses technical solutions for the development of receiving device for a spacecraft with a possibility of direction of arrival (DOA) estimation. The device must provide DOA) estimation of the incoming signal with a given accuracy and statistical characteristics under typical conditions for a spacecraft (weak signal, low consumption, small size). To solve this problem, it is proposed to use well-known sum-difference method of DOA estimation based on a small-size antenna array with digital diagramming (DBF). DBF antenna is a type of active antenna array, each channel is a separate receiver with digital signal processing. The formation of the phase and amplitude distribution in the antenna aperture is carried out in digital form. If we have information about the signals in separate channels of the antenna array, it is possible to use correlation algorithms for DOA estimation. For example, MUltiple SIgnal Classification algorithm (MUSIC). The essence of the algorithm is to calculate the eigenvalues of the correlation matrix formed from signals in various channels of the antenna array. This algorithm makes it possible to use the total energy of a data packet, since the values of the correlation matrix contain the integral result averaging the thermal noise. However, this approach is computationally expensive. It is necessary to carry out several convolution operations to form the correlation matrix. Instead, it is proposed to use the phase-interferometry direction finding (DF) method with use an only one convolution operation per antenna array channel to improve DF accuracy. The convolution operation is performed on the received signal, stored in memory, and the detected data to accumulate energy and reduce the effect of noise on the DF result. Due to the very weak signal against noise background, signal processing is carried out in several stages. The receiving signal is filtering and Doppler shift is compensating. Then an approximate DOA estimation is made. The resulting direction estimate is used to form the main beam of the digital antenna array. The detected signal data is used as coefficients to compress the entire packet and increase the energy of the signal to increase DF accuracy.

In the course of the research and development works performing on a spacecraft creation and development (a small spacecraft in particular), the important and integral condition of studying the onboard systems capabilities of a small spacecraft consists in performing analysis and evaluation of its structural states architecture. These states reflect both functional and technological specifics of the small spacecraft control. One of the primary tasks associates with the necessity of structural and functional survivability evaluating of the subsystems and a spacecraft as a whole, which often has to be performed under conditions of uncertainty due to the impossibility of simulating the whole spectrum of the space medium conditions. With a view to the existing uncertainty, it is necessary to consider all possible modes of the system development or degradation while its separate elements failure, i.e. pessimistic, optimistic and intermediate scenarios. The structural analysis of the small spacecraft onboard system functioning begins, as a rule, with plotting a diagram of the object functional integrity, representing a logically universal graphical tool for the structural representation of the system objectsrsquo; properties under study. Functional integrity diagrams allow representing correctly both all traditional types of structural diagrams (block diagrams, fault trees, event trees, connectivity graphs with cycles) and a crucially new class of non-monotonic structural models of various properties of the studied systems. The functional integrity diagram of the small spacecraft onboard system allows graphical representation of logical conditions for their own functions implementation by the elements and subsystems of the small spacecraft. It allows representing also the modeling goals, i.e. logical conditions for the studied system property implementation, such as, the system reliability or failure, safety or accident emergence, these or that operation modes implementation of the small spacecraft onboard control system, etc.

An access control and management system is an important element in ensuring the security of access to a building. The effectiveness of an access control and management system is dependent on reliable used in an area of operation where electromagnetic interference may be present. One of the dangerous sources of electromagnetic interference for such systems is visitors to the building. They may have accumulated static electricity. During normal walking, a person can be charged up to a voltage of about 15 kV. Electrostatic discharge may occur when passing through the turnstile. Electrostatic discharge can cause induced interference in communication lines and secondary power lines. Induced interference can lead to a violation of the noise immunity of the access control and management system in the form of short-term failures. The simulation model for investigating the induced interferences under the influence of an electrostatic discharge on the turnstile the paper proposes. The simulation results give an idea of the parameters of the induced interference in the wire lines of the access control system. On the basis of the parameters of the induced interference, the quality of the functioning of the system elements under the influence of an electrostatic discharge is assessed. For probabilistic assessment of noise immunity of system elements, a method based on calculating the probability of a single bit error is used. In this case, a temporary disruption in the functioning of the electronic elements of the system is possible. The results obtained are in good agreement with experimental data.

In view of the growing complexity of the problems being solved, reconfigurable computing systems (RCS) have become widespread in various branches such as industry, aviation, instrument making, etc. The RCS distinctive aspect consists in the ability of the internal architecture changing for the task being solved, allowing productivity and energy efficiency increasing. The high degree of integration and hardware configuration allowed FPGAs application as the main computational element. When solving the information graph on the RCS, in view of the employed and available resources of the reconfigurable field, it is being divided into subgraphs, for which a configuration, describing the tasks locating among the FPGAs is being composed. Due to the complexity of the location search problem, which is NP-complex, its execution on a host computer operating in real time seems impossible. The existing approaches are either inapplicable for the DCS configuration search, or being solved programmatically. Thus, the development of the tools reducing the search time for the RCS configuration is up-to-date. An algorithm and a model, including the problem of the set covering, were created when developing a unit for the tasks location in the RCS. The model describes the unit construction, and four criteria. These criteria are being based on the ideas of tasks selecting from an adjacency matrix based on the number of links, the intensity of exchange between them and the occupied and available resources for location, allowing reduce the number of enumeration options, which made it possible to reduce the computational complexity of the algorithm. The algorithm developed on the basis of the model, in the set of selection, storage and assignment procedures, can be implemented on the current hardware. In the course of experimental studies of the tasks arrangement in the RCS, an analysis of the performance and the resulting final configuration was performed. It is shown that the developed unit is 5.17 times faster than the similar software. Thus, the inference can be drawn on the hardware implementation of the presented method and algorithm advantage. The developed unit is applicable in the RCS operating in real time, due to its productivity increase.

Low temperature co-fired ceramic (LTCC) technology was chosen as the technology under study. Currently, LTCC technology has been widely used in various fields of electronics, especially for the production of microwave microcircuits of low and medium integration. This technology provides an inexpensive solution for mass production of electronic devices in telecommunications, medicine, automotive technology, military technology and other industries. During the implementation of LTCC technology, problems were identified related to the mutual influence of a large number of parameters at each stage of production on the quality of products. To improve the quality of the production of microwave components, a methodology of structural-parametric description (STR) of the LTCC technology is proposed. Based on this methodology, an MS Access database was developed. Access technology does not allow making multi-user, distributed systems; to solve this problem, it is proposed to use the database management system (DBMS) ADO.NET. Before Microsoft released the .NET framework, one of the main data access technologies used in applications was ADO (ActiveX Data Object). With the release of the .NET framework, ADO.NET became the successor to ADO. ADO.NET is a family of technologies that enable developers of .NET applications to interact with data using standard and structured approaches. ADO.NET manages both internal data (created in computer memory and used inside the application) and external data outside the application — for example, in a database or text files. Regardless of the data source, ADO.NET presents data in application code in tabular form, as rows and columns. When interacting with external data sources, ADO.NET can use disconnected data technology. With earlier technologies, developers typically created a persistent database connection and used various record-locking techniques to safely and correctly modify the data. With the advent of the Internet era, the strategy of maintaining open connections for each of the many concurrent HTTP requests to a web application has proven to be ineffective. For ADO.NET, the preferred strategy is to open the connection before the database query and close it immediately after the query is complete. The article discusses the structure of the ADO.NET framework of the Microsoft Visual Studio system, its main parameters and features. The ADO.NET architecture and parameters for establishing connections with external data sources are presented. The process of creating a database in the ADO.NET DBMS for the production of microwave components based on LTCC MS SQL Server is shown. ADO.NET manages both internal data (created in computer memory and used inside the application) and external data outside the application — for example, in a database or text files. Regardless of the data source, ADO.NET presents data in application code in tabular form, as rows and columns. The article discusses the structure of the ADO.NET framework of the Microsoft Visual Studio system, its main parameters and features. The ADO.NET architecture and parameters for establishing connections with external data sources are presented. The process of creating a database in the ADO.NET DBMS for the production of microwave components based on LTCC MS SQL Server is shown.

The relevance of the research issue lies in the need to check and adjust algorithms of aviation systems at each stage of their development. In connection with the expansion of the application scope of aircraft developed by PJSC laquo;Sukhoi Companyraquo;, a need arises to solve the problem of geometry optimization in joint hydraulic and thermal calculations. For this purpose, special software complexes are being employed that allow replacing real complex systems structures with structural schemes in the form of blocks, i.e. mathematical models that fully describe these systemsrsquo; structures. Practice has shown that, along with the existing methods for technical condition monitoring of the air cooling system (SVO) as part of a prospective unmanned aerial vehicle (UAV), there is a necessary to perform automated monitoring of the trend of product parameters during flight tests [1]. Let us consider how the method applied in the presented article will affect economic efficiency on the example of a PJSC laquo;Sukhoi Companyraquo; prospective unmanned aerial vehicle (UAV). The insurance cost of the aircraft equals to 1.3 billion rubles, the insurance cost of the ground control point of a promising UAV is designated at 145 million rubles. Thus, the total price of the manufactured goods is 1.445 billion rubles [1]. The price is determined based on the cost recovery principle, where no more than 20% is the cost of the head contractorrsquo;s work. In summary we get the price of the goods produced of 1.445 million rubles, and the cost of the goods produced of 290 million rubles (20% of 1.445 billion rubles) [2]. To achieve this goal, the following tasks were identified and solved by the implementation and development of the algorithms SVO in the SimInTech PC, which allowed improving the efficiency of the workflow and eliminating system shortcomings. The structure of the SVO mathematical model building in the SimInTech PCSVO is a complex-branched network of pipelines, including various units such as heat exchangers, dampers, dehumidifiers, check valves, overpressure sensors and temperature sensors. Calculation of such systems manually or with the state-of-the-artn computational fluid dynamics software systems requires significant computational resources and labor intensity. Due to the laquo;Set conditionsraquo; block, various situations of electric fans operation (EV) are modeled, which ultimately allows apprehending of the system behavior in the situation being considered. It offers the possibility to simulate failure situations and timely detect and eliminate the system weaknesses. The method for creating the SVO mathematical model, which includes the physical processes, occurring in the system, and control algorithms, allows developing the basics for solving the problem of reliable control of the technical condition of the SVO as part of a promising UAV during operation. It allows as well detecting malfunctions occurrence, preventing thereby the irreversible process of the system destruction. The three considered cases of the SVO functioning simulation clearly demonstrate that application of the proposed method of working out allows identify the system operation shortcomings and increase the workflow efficiency.

The relevance of the research issue lies in the need to check and adjust algorithms of aviation systems at each stage of their development. In connection with the expansion of the application scope of aircraft developed by PJSC laquo;Sukhoi Companyraquo;, a need arises to solve the problem of geometry optimization in joint hydraulic and thermal calculations. For this purpose, special software complexes are being employed that allow replacing real complex systems structures with structural schemes in the form of blocks, i.e. mathematical models that fully describe these systemsrsquo; structures. Practice has shown that, along with the existing methods for technical condition monitoring of the air cooling system (SVO) as part of a prospective unmanned aerial vehicle (UAV), there is a necessary to perform automated monitoring of the trend of product parameters during flight tests [1]. Let us consider how the method applied in the presented article will affect economic efficiency on the example of a PJSC laquo;Sukhoi Companyraquo; prospective unmanned aerial vehicle (UAV). The insurance cost of the aircraft equals to 1.3 billion rubles, the insurance cost of the ground control point of a promising UAV is designated at 145 million rubles. Thus, the total price of the manufactured goods is 1.445 billion rubles [1]. The price is determined based on the cost recovery principle, where no more than 20% is the cost of the head contractorrsquo;s work. In summary we get the price of the goods produced of 1.445 million rubles, and the cost of the goods produced of 290 million rubles (20% of 1.445 billion rubles) [2]. To achieve this goal, the following tasks were identified and solved by the implementation and development of the algorithms SVO in the SimInTech PC, which allowed improving the efficiency of the workflow and eliminating system shortcomings. The structure of the SVO mathematical model building in the SimInTech PCSVO is a complex-branched network of pipelines, including various units such as heat exchangers, dampers, dehumidifiers, check valves, overpressure sensors and temperature sensors. Calculation of such systems manually or with the state-of-the-artn computational fluid dynamics software systems requires significant computational resources and labor intensity. Due to the laquo;Set conditionsraquo; block, various situations of electric fans operation (EV) are modeled, which ultimately allows apprehending of the system behavior in the situation being considered. It offers the possibility to simulate failure situations and timely detect and eliminate the system weaknesses. The method for creating the SVO mathematical model, which includes the physical processes, occurring in the system, and control algorithms, allows developing the basics for solving the problem of reliable control of the technical condition of the SVO as part of a promising UAV during operation. It allows as well detecting malfunctions occurrence, preventing thereby the irreversible process of the system destruction. The three considered cases of the SVO functioning simulation clearly demonstrate that application of the proposed method of working out allows identify the system operation shortcomings and increase the workflow efficiency.

The article substantiates the expediency of improving the quality of training of specialists in the field of electronic warfare. A methodology has been developed to substantiate additional requirements for the training of electronic warfare specialists. The use of mathematical methods and models in the processing of expert information is substantiated in the interests of ranking the requirements for the training of specialists. Additional requirements for the training of specialists in electronic warfare have been formulated. It is shown that the most important requirements for specialists in electronic warfare are the ability to make decisions, organize and implement the use of forces and means of electronic warfare units against aerospace control systems. According to the results of the study, using the Rush model for evaluating latent variables and a model that takes into account the competence of experts, it was found that the most important requirements for the training of electronic warfare specialists to perform the tasks of disorganizing the control of airmobile robotic systems of foreign armies are such as: be able to make decisions on the use of forces and technical means of electronic warfare units, organize and implement the use of forces and technical means of electronic warfare units; be able to make a decision on the use of forces and technical means of electronic warfare units, organize their use of electronic warfare units and control them in the course of fulfilling the tasks of electronic reconnaissance and suppression in conditions of radio-electronic interference created by modern electronic means of leading foreign countries; know the features of the use of modern domestic samples of electronic warfare technology.

The article proves three theorems associated with studying accelerated electric charges on the basis and in terms of classical mechanics. Active development of aerospace ion and plasma engines theory touches upon a number of aspects, the two of which are being considered in the presented work, namely the charged particles dynamics and electromagnetic radiation at their acceleration. It is assumed that the charge moving along the circular path, i.e. with the centripetal acceleration, should necessarily radiate electromagnetic waves. It spreads, inter alia, to the cyclotron radiation.

The terms and methods of classical mechanics are being used, which spread, inter alia, to the electric charges dynamics in a part of forces, accelerations, displacements, work and energy. The starting point is a credible statement. A number of mathematically correct transformations is being performed with it. Thus, the result is necessarily reliable. Electromagnetic waves possess momentum and energy. The wave receives energy from the energy source, which leads to energy reduction of the source itself. At the same time, any decrease in energy is being necessarily stipulated by the corresponding work performing. Three theorems has been proved. Theorem 1. A tangentially accelerated charge does emit electromagnetic waves. Theorem 2. A normally accelerated charge does not emit electromagnetic waves. Theorem 2 formalizes a well-known in mechanics circumstance that the centripetal force does not perform work (since the scalar product of orthogonal vectors must be zero). Theorem 3. Electric charge satisfies Newton’s second law. In view of Theorems 1 and 2, the cause of magnetron radiation should be sought in the tangential acceleration caused by the Coulomb interactions of the beam charges.

During operation, spacecraft are constantly exposed to external factors that lead to degradation of the structure and external elements. As a result, such an impact leads to changes in the optical properties of materials, changes in the physical and mechanical properties of structural materials, the formation of craters and through breakdown of the walls, as a result of which the operation of both individual onboard systems and the spacecraft as a whole is disrupted, which is a very urgent task.

One of the influencing factors on the spacecraft is the flow of cosmic dust particles and the pollution of outer space by space debris particles, which have different velocities. The size range of space debris and dust particles varies from a few micrometers to tens of meters. Solid particles with a size of less than 1 mm are considered as a constant influencing factor, characterized by the density of their flow. Also, an equally important parameter of space debris is the shape of the particles.

The article presents the results of a study of the impact of particles on the design of the spacecraft. The process of crater formation with equivalent stresses at velocities of 1, 1.5, and 2 km/s is considered. Graphs of the total stresses over the thickness of the barrier and the change in the depth of the craters over time are presented.

In this paper, as an object of research as an element of the spacecraft, the result of the interaction of a two-layer coating on impact with a particle of space debris, the size of which is much smaller than the thickness of the coating, is considered. The coating in the form of two plates made of a composite protective shield and an aluminum plate, are shown in Figure 1.

The results of the numerical simulation are shown in Figure 3.The results of the evolution and the formation of craters at different points in time are shown. As a result of the collision of the particle with a softer barrier, the polymer coating substance is carried away. At the same time, a crater is formed on the aluminum barrier with an increase in diameter at particle velocities of 1.5 km/s and 2 km/s.

Based on the results of numerical experiments, the impact effects of a steel particle on an aluminum barrier with a polymer coating are analyzed. Taking into account a comprehensive study covering the physical and mechanical, mathematical features of modeling a high-speed impact, a large amount of information about the interaction of a particle with an obstacle at different speeds of movement was obtained.

The polymer coating is destroyed in all the studied variants, taking part of the kinetic energy of the particle. With an increase in the speed of movement, the amount of material entrainment and the diameter of the coating detachment from the aluminum barrier increases.

After the destruction of the polymer coating, the particle hits the aluminum barrier. As the speed increases, the crater depth and stresses in the aluminum barrier also increase. The rate of increase in the depth of the crater is also proportional to the speed of movement of the particle.

In all variants of the numerical experiment, the steel particle undergoes significant deformations, but significant mass entrainment occurs only at a speed of 2 km/s.

The results of crater formation and stress in the barrier at different particle velocities of less than 1 mm in size allow us to create a foundation for further experimental studies to take into account the impact of particles on the spacecraft design elements.

The development of rocket and space technology has led to the widespread use of cryogenic liquids, as a result of which it was proposed to create a certain stock of cryoproducts that are simultaneously in a two-phase or three-phase state, while forming layers of liquid, to increase their shelf life on board spacecraft or in tankers of future space refueling stations.

Nonlinear problems of the dynamics of a solid body having a cavity filled with several liquids are of considerable applied and theoretical interest. Many important problems of the dynamics of mechanical systems, including liquid masses with time-varying boundaries, lead to the need to solve the problem of the interaction of liquid with absolutely solid bodies. In particular, the linear equations of motion of a solid body with liquids will allow us to determine the change in the characteristics of the stability of motion due to the deformability of the free surface and the interface of the layered liquid.

The paper considers a problem in a nonlinear formulation about the vibrations of a solid body with an axisymmetric cavity around the horizontal axis OY and completely filled with two ideal and incompressible liquids. Nonlinear differential equations describing nonlinear oscillations of a solid body and the interface between two liquids in the vicinity of the main resonance of the vibrations of liquids are obtained. For a round cylindrical vessel, the hydrodynamic nonlinear problem is reduced to the sequential solution of linear boundary value problems. The obtained solutions of boundary value problems in the form of cylindrical functions were used to calculate linear and nonlinear hydrodynamic coefficients in the equations of oscillations of the mechanical system under consideration.

The presented work regards the problem solution of numerical modeling of blunted body flow-around by the supersonic inviscid gas flow [1, 2]. Such problem may be solved by rather wide specter of the well-known methods. Cartesian-grid-based immersed boundary method was successfully applied to solve this problem in the two-dimensional setting [3, 4]. It was employed to study the flow evolution in the shock layer while large-size particle movement along the symmetry axis was performed within the framework of a series of works [5-7]. The above said studies continuation while a particle movement along various trajectories required the problem solution of the gas flow modeling in the 3D setting.

Unlike the finite volume method, the meshless method does not divide the computational domain into mesh cells, but uses the cloud of points to represent the values of functions. The least square method is being used for spatial approximation of function derivatives. The article describes the Harten-Lax-van Leer method in combination with the MUSCL scheme and Van Albada limiter as applied to Euler system solution in 3D space. The least square method is being used to approximate Neuman boundary conditions on the boundary of the surface [17].

The meshless method selection was stipulated by the possibility of gas flow modeling in the domains with complex geometry. This method is less fastidious to the computer memory compared with those on the Cartesian meshes, employed in the previous works [4-7].

The meshless method for Euler equations solving was adapted also to the 2D space for the flat and axisymmetric cases [14].

The software implementation of the described method is accomplished in the C++ programming language and employs the OpenMP parallelization technology [15, 16].

The series of computational experiments on the bodies flow-around by the supersonic flow was performed to test the method operation accuracy. The article describes in detail the problem of modeling the sphere flow-around by the inviscid gas flow at the incident flow Mach number of 3. The algorithm for the nodes set generation in the 3D space for the given problem is described. A good agreement with solutions obtained by the finite volume methods on Cartesian meshes [3] and reference data [21] is demonstrated.

The next stage in the development of the meshless method is supposed to be solution of the Navier-Stokes equations in order to simulate supersonic viscous flows.

The interaction of injected gas jets with an incoming high-speed flow is one of the most pressing issues today. The use of injected jets for motion control has a significant advantage over mechanical controls, especially with regard to high maneuverability.

Calculations of the gas-dynamic parameters of a high-speed flow near a conical surface at Mach number M_∞=10-17 were carried out with the characteristics of the incoming flow P_∞=79.8 Pa, T_∞=270 K and the parameters of the injected jets T_j=293 K and J=4.95 — the coefficient of penetration of the gas jet into the incoming flow [1,2].

The object of study is a conical surface with gas injection holes located along the generatrix at a distance x/l=0.3, 0.6, 0.9 from the toe.

When analyzing the distribution of the zones of increased pressure in front of the place of injection of the jet and low pressure behind it, it was found that the value of the pressure coefficient with an increase in the Mach number proportionally increases both in the zone of increased and decreased pressure, regardless of the place of injection. The maximum pressure coefficient difference between the zones of high and low pressure is observed during injection at a distance x/l=0.3. In this case, the injected jet interacts with the head shock wave, locally pushing it away from the model. As a result, the p ̅ on the surface before and after the jets is much higher than in other locations of the injection holes.

It was found that an increase in the oncoming velocity leads to an increase in pressure before and after the injected jet. In this case, in front of the injected jet, the pressure increases more significantly than downstream of it. With an increase in the Mach number, the maximum p ̅  shifts closer to the injection site.

The analysis of the efficiency of the action of jets with different variants of arrangement in high-speed flow is carried out. He showed that, while maintaining the parameters of the injected jets constant, an increase in the incoming flow velocity leads to a decrease in the J coefficient, since the pressure gradient at the shock wave increases.

It was found that the magnitude of the Ky increases with an increase in the incoming flow velocity. The maximum is observed when the injected jet is displaced closer to the nose of the model (at М_∞=17), since in this place the injection of the jet is as close as possible to the head shock wave.

The results of numerical experiments correlate well with the results of field experimental studies [2, 19, 20], carried out using the aerodynamic laboratory of the A.F. Mozhaisky MSA and contribute to a more complete study of the effect of high-speed flow on the elements of aircraft.

The article considers the developed software and hardware complex for conducting weight experiments with the help of strain gauges, which allows automatically launching and measuring the forces acting on the model of the aircraft throughout the entire operation time of the supersonic wind tunnel.

Experimental studies were carried out using a supersonic wind tunnel of the aerodynamic laboratory of the Military Space Academy named after A.F. Mozhaisky.

Currently, the supersonic wind tunnel provides the most reliable data on the study of the force acting on the model when interacting with the incoming flow of aircraft of various geometric shapes. To ensure the study of the aerodynamic characteristics of aircraft in a supersonic wind tunnel, the question arises of the development, implementation and use of modern measurement technologies that will expand the range of experimental studies. One of the types of conducting aerodynamic tests is a weight experiment.

This paper presents the results of the development, implementation and application of a software and hardware complex for conducting weight experiments in a supersonic wind tunnel using three-component strain gauges.

The software package is implemented in the LabVIEW graphical programming environment, which is an application graphical programming environment used as a standard tool for conducting measurements, analyzing their data, and then controlling devices and objects under study. A computer equipped with measurement and control hardware and LabVIEW allows you to fully automate the process of physical research. Creating any program is very simple, because it eliminates many syntactic details.

The system for measuring the forces acting on the model in interaction with the incoming flow, based on the software and hardware complex, allows you to determine the experimental values of the longitudinal X, normal Y and transverse Z forces, the value of which determines the corresponding dimensionless aerodynamic coefficients of the model (C_x, C_ya, M_z, K, X_d).

Because of the conducted experimental studies on a supersonic wind tunnel with the use of a software and hardware complex, it has shown its effectiveness. The efficiency lies in the possibility of plotting graphs in real time, obtaining the values of the aerodynamic coefficients in tabular data. Because of the implementation of the software and hardware complex, it allowed to reduce the time for preparing, conducting and compiling the report of the conducted experimental studies by half.

The sign changing effect of the lifting force while the angle of attack changing in the high speed flat streams for the wedge was first discovered in the V.S. Galkin and A.A. Gladkov work in 1961. This effect in a free-molecular flow was found by V. S. Galkin in 1962. He showed that while the wedge flow-around by the free-molecular gas flow such critical one-half angle exists that at large angles the wedge lifting force became negative at any angle of attack. Moreover, this effect is being manifested at any gas velocities and the ratio of the wedge and gas surface temperatures. The presented work deals with this effect studying for the bodies in the form of squeezed blunted cones. The effect is being studied for the rarefied gas flow without supposition on the free-molecular flow-around mode.

At present, neural-network approximators application for fast computing of aircraft aerodynamic characteristics becomes one of new and promising trends of computational aerodynamics. The dependence of critical one-half angle of the squeezed blunted wedge on the flow geometry and parameters was studied using the approximation based on the hypothesis of locality. The exact neural-network approximator, allowing compute the critical angle at any set of parameters, was developed based on the computed examples of this functional dependence.

Aerodynamic forces acting on the blunted squeezed cone in the rarefied gas stream are being calculated. The article demonstrates that there is such an angle of the cone one-half angle, at which increase the lifting force becomes negative at an arbitrary angle of attack. The values of this critical angle were found for various geometries of the conic body and the Reynolds number of a high-speed flow.

The presented work supposes that the structure consisting of two coaxial, liquid filled shells to be under both internal and external pressure. The internal distributed pressure is being applied to the internal cylindrical shell, while external pressure is being applied to the external shell, and both these pressures are independent and variable. The distance between external and internal cylinders may vary as well, and each of these variables affects natural frequency and stability of the structure.

The purpose of this work is to develop a methodology for studying the stability of axisymmetric thin-walled elastic shell structures composed of two coaxial shells, the cavities of which can contain an ideal incompressible fluid. The stability domain boarder, which separates the domain, where the loaded structure keeps stable, fr om the domain, wh ere the structure loses its stability, is being determined on the coordinate plane of two parameters. Computations for this study were performed with the Visual Basic for Applications (VBA) system in the Excel spreadsheet processor medium.

The article deals with experimental studies on the vibration level reducing of spacecraft electromechanical actuators by increasing the structure damping properties by application of a multi-layer damping coating with reinforcing layer.

A vibration-absorbing self-adhesive coating made of multilayer aluminum foil and rubber-based polymer interlayers was being studied as a damping coating. A structural element bending at lateral vibrations causes cyclic tensile-compressive deformation in the damping layer and damping forces corresponding to them.

The tests were being performed on a force-measuring test-bench. A frame with a self-adhesive vibration-absorbing coating was fixed on a multicomponent measuring platform, on which electromechanical devices with moving masses were being installed. While these mechanisms operation, besides controlling impacts of the orientation system, negative forces and moments transferred over the spacecraft structure to the precise equipment occur causing its improper functioning. The force-moment reactions and vibration accelerations appearing herewith were being rasterized and processed by the special software.

The authors revealed experimentally that damping coating with a reinforcing layer application could reduce the vibration activity level of a structure in the entire frequency range of electromechanical devices with moving masses (up to 7 %) operation. The levels more meaningful at the vibration activity reduction (up to 15%) were being registered in the peak regions of the high-frequency vibrations.

The experimenters revealed that the damping coating operability directly depends on the fastening quality and correctness of the structure’s surface coating. Preliminary shapes determining of the vibrations of interest is required to determine the places of maximum stresses of bending vibrations occurrence. The damping coating should be fixed in the places of maximum stresses occurring at vibrations, so that temperature effect of mechanical energy into heat energy converting, and amplitude-frequency effect of the vibrations damping by the reinforcing layer manifest simultaneously and with maximum effect.

At the authors’ opinion, different modes of vibrations with a broadband spectrum of disturbance frequencies will have a certain shape and frequency, into which external forces and moments «pump over» the main energy od disturbance, and it is this shape that will be optimal to ensure maximum reduction in vibration loading. The article suggests recommendations for locations selection for the damping coating with reinforcing layer installing.

The test results may be applied to ensure the vibration loading level reduction of structural elements while a spacecraft design and pilot testing.

Today, additive technologies are used to create physical models, prototypes, samples, tooling, and the manufacture of plastic, metal, ceramic, glass, composite and biomaterial components. Of greatest technological interest is the manufacture of final parts from metal alloys used in the aerospace industry, mechanical engineering, automotive, oil and gas, electronics, medicine and other industries. Selective laser melting (SLM) is one of the most advanced and popular 3D metal printing technology. When manufacturing products using SLM technology, complex geometric shapes, including internal cavities and channels, can be reproduced, as well as with well-thought-out design solutions — to achieve a minimum amount of machining and eliminate expensive tooling. However, as a result of powder sintering and local uneven overheating, temperature residual stresses are formed in the synthesized parts. The level of which can significantly affect the performance of the resulting products. The paper presents a variant of the method for determining residual stresses in products made of PH1 stainless steel, obtained by the SLM technology. For this, a study of residual stresses was carried out on flat rectangular samples grown in 3 directions relative to the construction plane (parallel, perpendicular and at an angle of 45 degrees to the construction platform). The method for determining residual stresses is based on determining the deformation during drilling of the probe hole and subsequent numerical calculation to determine the residual stresses. Deformations were fixed using the image correlation method. Such a non-contact method makes it possible to determine with high accuracy the field of displacements and deformations using a drilling machine and a camera with a macro lens. The numerical calculation was carried out by the finite element method taking into account certain deformations from the experiment in the COMSOL Multiphysics environment. As a result of calculations, the distribution of residual strains and stresses was obtained for all samples for all its components. The most indicative results were obtained on a sample grown in the plane of construction.

The article discusses a modified RS-code. The purpose of the work consists in developing a prototype of a shortened noise-immune RS-code using NI USRP-2974 for a CDMA-type system. The CDMA system is intended for information transmission in the air from a base station to a mobile one and vice versa. The subscribers operation in this system proceeds in the common frequency band and on one carrier while separation takes place by various code sequences application, which are being assigned individually for each channel. A shortened modified RS-code was selected for this partition.

The article presents both coding and decoding procedures of the modified shortened RS-code with both errors and erasure correction for the CDMA-type systems. The Euclidean algorithm was being employed for cutting computing time of the key equation. This algorithm automatically obtains a polynomial of error locators in parallel with the key equation solving. This algorithm was being executed with the predetermined initial conditions, and operational procedure was being changed depending on characteristic features of each iteration. The errors position search was performed by the Chen procedure, and their value by the Forney’s algorithm.

The article demonstrated that the shortened modified RS-code corrected errors and erasures being the part of signal-code structures in the communication systems with code division multiplexing under development. The codes are of maximal possible minimal distance for linear codes with similar length of both input and output blocks. The may be employed as well for the concatenated code creation with greater minimal distance. Prototyping of the shortened modified RS-code was performed using the NI USRP-2974 high performance stand-alone device with software defined radio communication (SDR) USRP for system design and deployment of next generation wireless radio communication systems. The discrepancy range of the bit error occurrence probability was found applying the RS-code. Graphs proving effectiveness of the error correcting method of the truncated RS-code by employing the binary channel with erasures were obtained

The article considers a space onboard radar based on a hybrid mirror antenna for the L or P band and active phased array antenna transceiver modules, scanning along the forming surface of a cylindrical paraboloid of its reflector. The authors suggested using effective area of the reflecting surface of its reflector no less than 100 m² for the L band, and no less than 160 m² for the P band to obtain a high gain, and substantiated the requirements to the shape stability as well. For reflector of such a considerable size, the possibility of a light transformable structure development by forming a surface, employing flexible reflecting metallized grid, fixed on the frame being arranged under conditions of zero-grzvity by gas filling and hardening of the pneumo-frame was substantiated with account for limitations imposed by the nose cone of a carrier rocket. On orbital injection the soft shells and flexible grid of the transformable reflector structure are being rolled up and packed in a container of relatively small dimensions and easily withstand acting vibration and dynamic loads as a part of a spacecraft at the stage of operation and at insertion. The article presents the layout of the onboard radar complex with hybrid mirror antennae for L or P band as a part of basic module of the «Navigator» support systems. The possibility of the reflector frame rigid structure creating from the composite material based on pneumo-frame shells under conditions of the spaceflight was confirmed. Hardening technique for pneumo-frame applying the infusion of a binder being solidified was tested on the example of the cylindrical thin-walled beam. The article presents the results of the transformable structure of the frame panel testing on functioning and strength, as well as verification of bending computations by stress-strain state modeling of a composite material. Its stiffness and weight evaluation is presented either. The transformable structure endurance to the cosmic space factors impact was estimated, and measures to its enhancing were being suggested. A number of passive methods have been proposed for stability ensuring of the reflector shape. Methods for the shape monitoring and correcting, and methods for the deformations impact compensating by hardware-software means of the radar system were considered. In particular, the expediency of the mirror shape correction by mechanical actuators, as well as by phase correction of signals to align the front of the wave being radiated, was justified.

The systematic approaches, substantiated in the article, such as deformation impact compensation; forming large-size reflector with rigid frame from composite materials by the gas filling and soft shells hardening under conditions of the space flight may find application for radar complex developing based the active phased array antenna with a hybrid mirror antenna.

A reconfigurable computing system () is a system that can be reconfigured after its manufacturing. A promising basis for such system constructing is an RCS-FPGA. One of the tasks of building an RCS in real time mode consists in changing the internal FPGA modules organization. However, this leads to the increase in the switching delay time. This time reduction is achieved by the internal modules redistributing, which allows increasing the RCS speed.

The article presents a mathematical model and a hardware-oriented algorithm for program scheduling in systems on a chip, which will allow reducing the time delay in computing the new topology of a reconfigurable computing system and increase its fault tolerance.

To achieve the smallest total length of interconnections, the article proposes to employ two criteria:

1) The programs with a maximum number of related programs must have a minimum distance to their adjacent programs;

2) Adjacent programs with maximum loading among themselves must have a minimum distance;

Thus, to achieve the minimum total interconnection length of the program configuration in the system-on-chip, it is necessary to find such a mapping that would satisfy the above presented conditions 1 and 2.

Based on the proposed criteria and method, a hardware-oriented algorithm was developed, which main advantages consist in the simultaneous selection and location search in the configuration of the selected programs. It reduces the total length of the obtained interconnects in the configuration being computed and the number of enumeration operations.

The software modeling of the developed hardware-oriented algorithm and its results comparison with the algorithm program model, based on the ideas of the branches and boundaries method was performed. Comparison was performed for the following types of graphs: ring, fully connected, planar, Cayley direct product, star using the Halin construction, bipartite. It revealed that the hardware-oriented algorithm works more efficiently for a configuration search for the most of the presented graphs types: in configurations computing for all presented types of graphs (on average, the total length of interconnections is 8.4% less), and in operation speed in four out of six (6.6% faster on average).

The presented method and the hardware-based system-on-chip configuration-planning algorithm developed on its basis are applicable in high-availability systems such as onboard aviation, tracking, surveillance, radar, recognition systems, etc. This approach application will reduce both the time spent on planning or design (compilation) of a new configuration plan, and reduce the switching delays of the system.

The article is devoted to the problem of extracting features from an electrostatic signal. This problem becomes relevant when using an electrostatic monitoring system to detect unmanned aerial vehicles. The law of variation of the electrostatic field tenseness at a particular point on the earth’s surface depends on the landscape. In addition, the process of determining the parameters of the UAV flight requires the precise of determining the signs of an electrostatic signal.

In the works of other researchers, the wavelet transform based on the Morlet function is usually used to extract the features of an electrostatic signal. The exact definition of the features is carried out from the analysis of the resulting three-dimensional time-frequency distribution.

In this paper, we consider another type of transformation of an electrostatic signal based on convolution with a complex rational function. We select a function that can provide a simpler time-frequency distribution. The simplicity of this distribution lies in the fact that the parameters of the electrostatic signal are extracted based on determining the intersection point of two two-dimensional functions, instead of determining the peak on the three-dimensional distribution in the case of the wavelet transform.

The method under consideration has comparable noise immunity compared to the wavelet transform, in addition, it allows you to adapt the transformation to a specific electrostatic signal.

The article deals with studying optimal UAV functioning modes in wireless information transmission networks. It considers two optimization problems of the UAV functioning in in wireless information transmission networks. The purpose of the study consists in (a) parameters determining of optimal transmission mode where the throughout C(t) is of constant value (i.e. the throughput is invariable); and (b) parameters determining of the UAV optimal functioning when the integral throughput value reaches its extreme at the constant value of the integral cost function being newly introduced. For the first task, conditions for the throughput constancy achieving were analyzed, and concrete condition at which fulfillment ensured this constancy was obtained. In the second task, conditions under which the integral throughput value reaches its extreme value is being determined with account for the requirements to the cost function.

It was determined that such extreme in the form of the throughput minimum manifested itself at the following conditions fulfillment: (a) the presence of the cost function in the form of the functional relationship σ = σ(P(t)), where σ is a mean-square deviation of the white noise, and P(t) is the power of the signal being transferred, is conceded; (b) constraint of this integral function is conceded; and © the direct dependence between the above said indices was being ensured.

The problem of provision of optimum flight regime of UAV with dynamically changing weight was considered in regard of UAV equipped with internal combustion engines. Expansion of the scope of application of UAVs equipped with electric motors and batteries (accumulators) may cause the need to take into account the factor of weight changes during the flight. Technologically, this may be caused by the need to remove used batteries or perform some specific tasks. These types of tasks performed by drones include differentiated delivery of payload (spraying chemicals to destroy agricultural pests, dumping water in the forest fire zone, dumping chemicals to form raindrops, etc.). In the long term, a section of the UAV flight path is also possible, where the weight of the drone increases due to the implementation of refueling in the air. Thus, the issue of optimizing the operating parameters of the UAV is being updated, taking into account the dynamic change in the total weight of the UAV during the flight. It should be noted that this question in regard of battery powered UAV is developed not completely. The article formulates and solves the problem of determining the optimal dependence of the UAV flight speed on the weight of a battery-powered drone in the mode of differential payload reset. The optimization criterion is the condition for minimization the average integral value of the aerodynamic drag overcoming force. The task is solved using non-conditional variation optimization method in line with Euler equation and Lagrange multiplier.

It is shown that the optimal value of the flight speed of a battery-powered drone is directly proportional to 1/3 of the weight of the UAV and inversely proportional to 2/3 of the air density.

The article studies the contribution of basic geophysical disturbances (atmospheric and oceanic) to the wobbling process in phase with the lunar orbit precession by the analysis and processing of the NCEP/NCAR data on atmospheric circulation and NASA/JPL data on the ocean angular momentum. For this purpose, numerical integration of the Earth’s pole motion equation with account for the kinetic momentum of the atmosphere and ocean angular momentum was performed. Combinational harmonics associated with the wobbling process under consideration were separated as well. As the result of the integrating, the Earth’s pole movement accounting for the basic geophysical disturbances was obtained, and contribution of atmospheric and oceanic disturbances to the wobbling process synchronous with the precessive motion of the lunar orbit was determined. Combinational harmonics, being obtained as the combination of the pole wobbling basic harmonics and harmonic with the frequency of the lunar orbit precession, were found.

It was found that more than 50% of the energy of the wobbling process being considered, in-phase with the lunar orbit precession, might be stipulated by the disturbance of the atmosphere and ocean. Wobbling with frequencies of cycle/year, caused by atmospheric and oceanic disturbances, coincide in phase with the corresponding wobbling of the observed motion of the pole. However, at least one third of this process is not explained by the disturbances being accounted for in the work.

The article discusses the issues of ranking operational monitoring spacecraft of forest fires in order to determine the contribution of each spacecraft to solving the problem of monitoring for focusing the resources of the control complex on the most important spacecraft.

For rapid response to emergencies is necessary to know the situation in the observed area. Since the area is large, it is impossible to fully reconnoiter it with one spacecraft flyby. In this regard, it is proposed to introduce a new criterion — the proportion of the observed area, showing which part of the area there is up-to-date information. Intelligent information about the area is relevant only for a certain period of time, since an emergency situation can arise in the area at any random moment in time. Let us assume that the information about the area is relevant for a deterministic period of time Δτ, those to assess the situation in the area at time t, only the radio visibility zones of the Earth remote sensing spacecraft located in the time range [t–Δτ;t] are taken into account.

Based on the proposed approach to assessing the observability of a given fire-dangerous area, the methods of ranking the Earth remote sensing spacecraft has been developed. The ranking of spacecraft is made taking into account the fact of information obsolescence and the nonlinearity of the area monitoring by a variety of spacecraft. As result of a comparative analysis of existing ranking methods based on the frequency of observation of a given area, and the proposed methodology, the fact of consistency of the results was established. At the same time, the proposed methodology makes it possible to single out that set of spacecraft, the use of which significantly increases the efficiency of monitoring areas of emergencies.

The presented methods can be used to study the capabilities and ranking of both orbital constellations, consisting of the same type of Earth remote sensing spacecraft, and different types.

The purpose of the study consists in analytical description of the ballistic trajectory section corresponding to the normal fall of the spacecraft on the surface of an atmosphere-free planet. The motion of a normally falling body herewith is being characterized by an increasing acceleration of gravity. The problem of the speed, time and acceleration of the normal fall of a body on the planet’s surface in the absence of an atmosphere is being reduced to solving a second-order differential equation, which is solved by the standard method. The solution specificity is the formal use of the table integral at an intermediate stage. It turned out, however, that his formula is inauthentic, namely, the derivative of the right-hand side is not equal to the integrand. From this, It necessary follows that possible existing solutions to this problem based on employing the above said table integral are incorrect. The article presents correction of this table integral, which is an incidental result of the study. Temporal equation of a normal body falling on the planet surface in the absence of the atmosphere, as well as temporal equations of its speed and acceleration were obtained in this work. Expressions for the distance, speed and acceleration were obtained as implicit functions of time. The article presents a numerical example with regard to a planet with parameters of the Earth, according to which the period of normal fall of a body on the planet’s surface from the altitude of 629 km is 387.275 s = 6.455 minutes, while the body’s velocity at the planet’s surface is 3353.297 m/s. The results obtained may be handy for calculating the normal incidence of small celestial bodies and spent spacecraft structural elements.

The modification of the Navier-Stokes equations by accounting for the additional degrees of freedom associated with the excitation of stochastic pulsations in the fluid flow allowed distinguishing two solutions to the fluid flow problem in a circular pipe (the Hagen-Poisel problem). One of these solutions is implemented for any values of Reynolds number and corresponds to the laminar flow regime, the second one is implemented only for large enough values of the Reynolds number and corresponds to the turbulent flow regime.

However, the boundary conditions, i.e. of the liquid «sticking» on the walls of the pipe with the of a linear velocity profile formation near the walls along the length of the viscous layer are V+ ~ y+. The zero derivative of the velocity in its center herewith allows obtaining a «smooth» solution to the problem for an arbitrary Reynolds number only in the case of a laminar flow regime.

Boundary conditions that arbitrarily «fixing» a solution at two or more points generally do not guarantee existence of a smooth solution to ordinary differential equations (ODE) or partial differential equations (PDE), even if these equations obey Cauchy’s existence and uniqueness theorem.

The absence of a smooth solution of the ODE or the PDE in the entire domain under study can be considered from the point of view of the existence of two or more asymptotes of the solution, as well as areas of uncertainty between them. A function of two summand, each of which is the product of two functions can be considered as a generalized (in the sense defined in the article) an ODE or a PDE solution. One function defines one of the solution asymptotes, while the other one defines the degree of this asymptote effect of the overall solution in each point of the area under study.

From this point of view, the presented work considers a generalized solution of the Hagen-Poiseuille problem for the turbulent flow regime of a liquid. One asymptote of the solution satisfies the boundary condition of liquid «sticking» on the pipe wall, while the second asymptote of the solution is a constant setting zero velocity derivative on its axis. A comparison with experimental data for the universal velocity profile in the near-wall flow region is presented.

Improving the aircrafts aerodynamic characteristics (AC) in a wide range of speeds is a perspective trend especially with significant restrictions imposed on the shape of structural elements is flow and motion control, namely effect on the airflow to restructure its structure in accordance with the required change in AC and other airflow parameters. The most effective method is the gas-dynamic method, implemented in gas-dynamic controls (GDC) (longitudinal and normal injection of a gas jet fr om a body into a hypersonic flow).

On the experimental setup of the aerodynamic laboratory of MSA the A.F. Mozhaisky — the IT-1M hypersonic impulse wind tunnel (HIWT), a series of experiments was carried out (with the parameters of the undisturbed flow: Mach number (M∞ = 17), Reynolds number (Re∞≈1.4 × 104) and pressure (p∞ = 200 Pa)) to determine the aerodynamic characteristics of an aircraft model using GDC.

The feature of HIWT is the ability to obtain experimental data on quasi-stationary processes in a time interval of 50 ms. Working gas — nitrogen (high purity, 1st grade, GOST 9293-74).

When a gas jet is blowing into an incident hypersonic flow, a complex shock-wave structure arises, as evidenced by the experimentally obtained shadow patterns of flow around a body using GDC.

As an indicator of the effectiveness of the use of a GDC with a different location on the model, the amplification factor was selected (K_у=1+ΔY/P_y, wh ere P_y the GDC thrust; ΔY the increment of the normal force due to the presence of an area of increased pressure in the separation flow zone). A comparative analysis of the effectiveness of various combinations of the use of GDC on the aircraft model when moving in hypersonic flight modes is presented.

As a result of a series of experimental studies on the IT-1M wind tunnel, the effectiveness of the usage GDC AC was investigated at hypersonic flight modes. The values of the aerodynamic forces (normal and longitudinal forces, as well as the pitching moment) acting on the aircraft model during hypersonic flight are obtained. It has been shown that the usage GDC significantly improves the main AC of aircraft. The most effective combinations of GDC for the model under study are options 2 and 3 (with J of the jet equal to 4.95 and 8.53) (Figure 8).

Experimental studies carried out with the use of the HIWT aerodynamic laboratory of the MSA named after A.F. Mozhaisky contribute to a more complete study of the behavior of aircraft elements in a hypersonic flow, as well as the verification of existing and newly developed computational codes for aircraft models with GDC.

The article proposes a new approach to the dynamic properties evaluation of mechanical oscillatory systems, as calculation schemes for technical objects operating in modes of intense vibration loading.

The purpose of the study consists in developing ideas of employing frequency energy functions representing potential and kinetic energies ratio in a specific form based on the application of relations of coordinates in the free oscillations mode.

Technologies of system analysis and structural mathematical modelling, within which framework the block diagram of the equivalent in dynamic sense automatic control system is being correlated in mechanical oscillatory system, are used.

The article demonstrates that the design schemes of technical objects, represented by design schemes in the form of mechanical oscillatory systems, allow detailing perception about systems’ dynamic properties, associated with the objects’ dynamic state, defined by the spectrum of natural vibration frequencies in a wide range. Growing attention to the reliability ensuring and operation safety of machines and equipment predetermines the attention to the frequency properties of the systems and accounting for the specifics of theif formation and manifestation.

The authors propose a method for dynamic properties evaluation of mechanical oscillatory systems based on the frequency energy function, which allows determining the frequencies of natural oscillations and their dependences on the system parameters, depending on the so-called cohesiveness coefficient of amplitudes by the coordinates of the system.

The article considers mathematical modeling of laminated polymer composite materials, being built basing on scanning parts with a computer tomograph with further mathematical processing of the obtained information and finite element models building. The main aspect of the work consists in determining the degree of the internal defects impact on the strength of the manufactured part by the results of the analysis of the individual finite element model.

The computed tomography technology allows determining the type of defect, its size and location relative to the base surfaces of the part under study. The resulting raster model is the scan data output. The well-ordered packet of raster images with the defect in one of the of coordinates system axis direction of the object under study is being formed. The subsequent step consists in creating a wireframe model of the defect zone. The step consists of the following stages:

• determining the coordinate system of the image package;
• binarization of the images packet;
• detecting defect contours in each image;
• defining anchor points on a contour;
• vectorization of defect contours by the spline interpolation method;
• combining vectorized contours into a wireframe model.

Further, the superimposition of the wireframe model of the defect on the 3D finite elements model of the part’s zone with the identified defect is being performed. The subsequent properties transformation of the finite elements that have fallen into the defect zone consists in the change (decrease) in the elastic properties of the material.

Detailed analysis of the stress-strain state of aircraft structures from composite materials may significantly increase the computational costs. To solve this problem, this article suggests employing the global-local analysis of the elastic theory. This will allow considering the defect zone obtained after scanning with sufficient accuracy, without the part finite element model complication.

The presented approach application allows determining the suitability of the parts from laminated polymer composite materials with a high degree of adequacy, which consists in determining the real defects, revealed while the scanning process with the computed tomography, impact on the strength of the part.

the effect on strength the part real defects identified in the process of scanning on a computed tomography.

Currently, the Arctic territories of Russia are actively developing. For integrated development it’s necessary to create a modern telecommunications infrastructure accessible to remote sparsely populated areas which is capable of providing broadband Internet access and mobile communications.

The use of modern developing satellite communication systems («Starlink», «OneWeb», etc.) as such an infrastructure has a number of disadvantages: a long delay time for data transmission to a user and the need to use additional user equipment of large dimensions due to directional antennas. With the help of such equipment, it’s possible to organize only a stationary access point with a small service area which doesn’t allow the implementation of mobile communication using compact standard user equipment.

An alternative to satellite communication systems are cellular communication systems developed by 3GPP, which use cellular communication standards that provide broadband Internet access (LTE, LTE-Advanced, LTE-Advanced-Pro). The disadvantage of such systems is their unprofitability in the Arctic.

To date, integration with self-organizing networks with a dynamic Ad-Hoc structure has already been considered as one of the ways to increase the profitability of cellular communication systems.

A new way of increasing the profitability of cellular communication systems in the Arctic is proposed. For this, cellular communication systems with capacity transfer, integrated with the Internet of Things LoRaWAN communication system are used.

The functions of the LoRaWAN communication system [12] are autonomous remote monitoring and site management which includes turning off the power supply of the site when there are no subscribers in the service area and turning it on when subscribers appear.

Reducing the energy consumption of the site due to the integrated equipment of cellular communication systems with capacity transfer and LoRaWAN communication system, as well as the proposed method for managing the power supply of sites allows the use of autonomous power sources, for example, using hydrogen, as the main ones to ensure the operability of sites.

This work is devoted to the study of implementation options and basic principles of operation of energy-efficient cellular communication systems with capacity transfer integrated with the Internet of Things LoRaWAN communication system.

Modern communication networks represent a complex architectural solution that performs a number of telecommunication tasks, which solution allows the most efficient transmission of large amounts of data through the network. The annual growth in the transmitted traffic volume makes the network technologies application for a long period of time without changes impossible, since the requirements for its processing grow, and increasingly stringent restrictions are being imposed on the network solutions and equipment along with it. One of the most important parameters of data transmission is the end-to-end delay. It represents a set of time values required for an incoming network packet processing and transmitting it through the physical communication channels, as well as the operating time of the network protocols and technologies being employed, in particular, the time spent on of various tables’ construction and operation of algorithms software implementations.

Thus, the solution to the above-said problem can be reduced in the first approximation to the problem of finding a set of routes on a graph describing the a communication network topology.

The existing standard solutions to the problem of searching for the paths on a graph describe, as a rule, the solution to the single route searching per one algorithm iteration, or provide the ability to search for exclusively disjoint data transmission paths, which in some cases is not sufficient for solving the original problem. Application of the routes searching algorithm with the auxiliary graph constructing, allowing find a set of paths, including partially intersecting ones, on the graph from one vertex to another, or from one vertex to set of vertices, may alter the situation. This solution disadvantage consists in critical increase of the algorithm operating time while employing graphs of large dimensionality.

This problem can be solved by applying the bidirectional search method for the above-said algorithm with the auxiliary graph constructing. Thus, the original graph can be conditionally divided into two parts, being the subgraphs from the original graph, connected by the generated paths. A mandatory condition herewith is starting and ending points finding in the constructed subgraphs, then, the auxiliary graphs construction based on them will allow reducing the time complexity by up to two times, depending on the specific software implementation of the algorithm and the methods of the graph writing: adjacency list, incidence list, adjacency matrix etc. The calculated time complexity herewith for the tested network topology containing eight nodes and the connections between them will be 519.23 and 105.95 for the algorithm based on the auxiliary graph and its bidirectional variation, respectively.

Relevance of this work decides by need of increase of level of noise stability of data transmission systems on phase-shift noise-type signals to noises with different spectral structure on the basis of purposeful modification of time structure of the pseudorandom sequence used when forming such signals.

The purpose of article consists in assessment of character and extent of influence on noise stability of data transmission systems with phase-shift noise-type signals of time structure of pseudorandom sequence in the conditions of influence of noises of different type, and also development of the general recommendations about ways of increase of noise stability of such data transmission systems on the basis of purposeful modification of structure of PSP of the used signals.

As object of research in article data transmission systems with phase-shift noise-type signals in the conditions of action of noises with different spectral structure are considered.

Subject in article is the technique of assessment of character and extent of influence on noise stability of data transmission systems with phase-shift noise-type signals of time structure of pseudorandom sequence in the conditions of influence of noises of different type, and also the recommendation about increase of noise stability of data transmission systems on the basis of purposeful modification of time structure of PSP.

The practical importance of article is that on the basis of the developed technique of assessment of extent of influence on noise stability of data transmission systems with phase-shift noise-type signals of time structure of pseudorandom sequence in the conditions of influence of noises of different type, recommendations about purposeful modification of time structure of this PSP which results in the maximum distinctions in ranges of signal and noise which finally leads to essential increase of the relation signal / (noise + noise) on output of the coordinated filter, and according to and to decrease in probability of bit error in the accepted signal are developed.

It is reasonable to use the offered technique at solution of problems of justification of technical requirements to data communication equipment with phase-shift noise-type signals, capable steadily to function in the conditions of difficult interfering situation.

Conducting a detailed study of the Moon and its further development should be based on a high-precision positioning system for objects located on its surface and in the circumlunar space. Currently, many space agencies and research centers are developing navigation systems for the Moon. The proposed projects stay at various stages from concepts to experimental work. Thus, conducting detailed analysis of these projects is an up-to-date task.

Basic types of navigation systems, suggested to development by Russian and foreign researches, were outlined following the results of the analysis. Certainly, there is a number of concepts, such as navigation by pulsars, but they are even more complicated in realization and of less accuracy than those under consideration.

These are, in the first place, radio-navigational systems, which can be conditionally split into three basic groups:

— The systems based on constant contact with terrestrial systems;

— Navigation systems autonomous from the Earth navigation (i.e., those not employing the Earth GLONASS, GPS, etc. as a support) with lunar reference points;

— Autonomous systems without reference lunar based points.

All types of the systems have both their advantages and disadvantages: this is either the presence of a mandatory binding to the Earth (hence, there are delays in receiving any kinds of signals at such a distance), or either a large number of spacecraft or a complex lunar based segment.

Systems with gravitational measurements and the artificial intelligence application cannot fully perform the tasks of global lunar navigation.

Thus, we believe that the proposed lunar optical navigation system is up-to-date and solves many of the problems and shortcomings of the above-mentioned modern projects and proposals in the field of navigation on the Moon.

The purpose of this article is to demonstrate an experimental method for determining the impact region of microparticles in the surface of a spacecraft, through a neural network, with information about time delays in the data set. The article briefly describes the main types of neural network architectures that are widely used in various tasks. The theory of operation of the architecture of the neural network of direct propagation with mathematical explanations is given. The fundamental operations of neural network training, such as the method of error back propagation, gradient descent of the loss function, the training coefficient and its optimization, are also considered. The task of detecting the impact site of microparticles on the surface of the spacecraft body is set. As input data for training and testing the neural network, we used the results of an experiment to measure time delays on an experimental model with four piezo sensors. The output data was the numbers of the areas of the plate that were subjected to a simulated impact with a steel ball. The neural network model itself was written in the python programming language, using the Keras library and TensorFlow. This article also provides a detailed method for constructing a neural network model in python. The neural network obtained in the course of the study showed good results in terms of predicting the impact area of cosmic particles. The accuracy reached almost 90-100%. These results, as well as the advantages, disadvantages and prospects of the considered method, are given at the end of the article.

Today, on-board radar monitoring systems are actively used as devices for observing the earth’s surface. They have great practical advantages. The main of these advantages are:

— implementation of monitoring of the earth’s surface in unfavorable weather conditions and at any time of the day, as well as in various seasonal conditions;

— sufficiently long range of action;

— high accuracy in determining the coordinates of the detected physical objects and outlines of the edges of the underlying surfaces;

— the ability to cover large areas of the monitored areas in a short period of time;

— implementation of the mode in real time, etc.

The work defines, analyzes and forms the corresponding parameters of echo signals, the space of information features of characteristics. The most informative classification parameters have been identified, the main of which is the radar cross section (RCS) value. In this case, the selected parameters of echo signals are stable under the influence of various destructive influences on the signal during its propagation.

The distribution laws of Weibull, Rayleigh, Rayleigh-Rice, Hoyt, etc. are used as a model for the fluctuations of the envelope of the earth’s surface echoes, as well as the log-normal law and the K-distribution as the equivalent of the sea surface echo.

In this work, an algorithm for the classification of one information attribute, which is the RCS, has been developed. The block diagram of the algorithm is presented. The classification algorithm is implemented on the basis of comparing the RCS value taken from the corresponding base of classification features of objects and underlying surfaces with the RCS value calculated from the received values of the echo signal amplitudes observed in the receiver strobe of the onboard radar.

Through the use of on-board radar equipment, search, detection and classification of underlying surfaces is carried out, which makes it possible to perform these tasks regardless of weather, daily and seasonal conditions. In this case, the reliability of the classification algorithm depends only on the intrinsic fluctuations of the evaluated characteristics of the echo signals. The result of the work is the development of an algorithm for the classification of underlying surfaces by RCS.

The article considers the multi-threshold images processing technology, which consists in generating a series of partitions into clusters for the original grayscale image. Each image is being assigned to its own brightness histogram, which every column is a separate cluster of pixels. A cluster is being characterized by the number of pixels it contains and the average brightness value. All pairs of adjacent clusters are being browsed while traversing over the brightness histogram. The pair of clusters with the minimum distance between them is being selected for merging at the end of the histogram traversing. In general case, 256 partitions are available by the number of the gray levels. In a special case, when the image consists of K grey levels (K < 256), and there is a need to find a partition from t levels of grey, the necessity to generate K — t partition into clusters will arise. With the original version of the multi-threshold processing method, the distance between the pairs of adjacent clusters was computed through the product of the intra-class and interclass dispersions, which requires considering the brightness histogram as a function of the probability density. The original technique is full of complex design equations. The modification proposed in the presented work allows computing the distance between the pairs of adjacent clusters by the increment of the total quadratic error. This modification is justified by a number of reasons. Firstly, the number of computational operations reduces twofold. Secondly, the accumulated value of the total quadratic error, expressed through the mean-square deviation, serves as the quality indicator of the image partitioning to clusters. Thirdly, the set of the total quadratic errors, characterizing the series of partitions into clusters, forms optimal sequence of partitions as evidenced by the convex curve.

The article deals with the development and research of algorithms for computer simulation of the signal trajectory in the aperture synthesis radar. It substantiates such modelling relevance, which is stipulated by the necessity to obtain radar images of one and the sane scene under various probing conditions. The radar images obtained thereby may be employed to analyze various synthesizing algorithms, trajectory instabilities, equipment errors and other factors affecting the quality of the resulting synthesized image.

These are the methods for direct and reverse forming of the trajectory signal. The first group of methods, in its turn, can use numerical methods of electrodynamics, or methods of geometric optics. The most appropriate approach is based on the methods of geometric optics, when optical images are used to form the amplitudes and phases of the trajectory signals of the probed scene, i.e. aerial photographs, photos from space, and etc. Based on this approach, trajectory signals and radar images synthesized on their basis were obtained when a continuous signal with linear frequency modulation was used as a probing signal.

The article presents the examples of the trajectory signals computer simulation and their corresponding synthesized radar images with high resolution (above 0.5 m). The trajectory signal simulation method based on optical images may lead to the synthesized images distortions, which appear in the form of alternating dark and light bands located horizontally and vertically. The conditions under which such distortions occur, as well as methods for their elimination, were determined. The reasons for the distortions appearance in the form of bands are, firstly, the discreteness of the reflectors’ location point in the optical image, and, secondly, the interference of the radio signals reflected from a group of closely located reflectors. In literature, the second phenomenon is called the speckle effect.

To eliminate distortion of the images synthesized on the basis of the described method for the trajectory signal simulation, the article proposes to adding a random phase component to the signals of point reflectors. This technique allows to forming the trajectory signals close to real signals.

The article also provides examples of the application of trajectory signal modeling to analyze the distortions of synthesized radar images in the presence of trajectory instabilities with different amplitudes.

The purpose of the study consists in developing a method, algorithm and models of authenticity enhancing of the information packets source identification. This goal is achieved by extra checking the content of a special service word that is a part of the data packet for falling into the value range dynamically generated by the receiver. As the result, the number of packets, being analyzed by the receiver while identifying the source of the structured set of information packets, reduces. The article demonstrates that reduction of the number of packets being analyzed leads to the probability of identification errors origin reduction. Models for identification authenticity evaluation were developed based Markov chains apparatus. The process of information packs acceptance by the receiver from various sources is presented as a random process, in which a part of the states corresponds to the data packets processing errors occurrence, while the other part corresponds to the possibility of the reliable packets processing. The model parameters are the values range width, used for checking the data packet special word; the probability of a single data block inclusion into the structured set; the length of the structured set of data packets from the single source; the total number of data packets being processed by the receiver. The article shows that application of the method of limiting the analyzed packets set being analyzed allows enhancing identification reliability of the distributed information systems subjects, which exchange data packets of limited size. The probability of identification herewith of false source, which formed a certain structured set of packets, reduces by two or three times. In practical terms, it allows reducing the size of extra service margins in each data packet. This, in its turn, allows reducing information excessiveness of the processed data, increasing the data processing speed by the receiver, and reducing the size of both internal register memory and random-access memory of the receiver.

To improve the reliability of the digital electronic modules of control systems in aviation, various redundancy schemes are often used, based on the parallel connection of the same type of functional elements to the data bus. The functionality of such channels is implemented on super-large integrated circuits (SLIC), made most often in BGA (Ball Grid Array) enclosures and equipped with a JTAG interface in accordance with the IEEE 1149.1 standard. The JTAG interface is the basis for the development of hardware and software tools for boundary scanning, which are widely used not only for programming, but also for rapid contactless search, localization, identification and visualization of defects on assembled printed circuit boards

In the process of automated soldering of BGA chips, defects may occur in the form of a short circuit (bridge) between their terminals located in the subcorp space in the zone of physical inaccessibility to traditional electrical controls. Such defects can be detected using hardware and software boundary scanning. However, due to the parallel connection of chips in the presence of a short circuit only under one of them, the defect will be determined under all, including defect-free, chips at the same time.

The authors investigated the possibilities of the boundary scanning method for localization of short circuits under microcircuits in BGA enclosures connected in parallel to the digital data transmission bus according to the double «hot» redundancy scheme. The calculated values of the currents on the monitored sections of the communication lines were found experimentally, which make it possible to accurately determine the position of the defect under the microcircuits in the BGA enclosures.

The conducted experimental studies have shown that the implementation of the results obtained in the technological processes of production control and diagnostics will significantly reduce the time of searching and restoring the operability of products.

From the control theory point of view, an aircraft gas turbine engine (GTE) is a complex nonlinear object, which frame mathematical description is known a priori. While the GTE operation, continuous parameters monitoring, such as gas temperature behind the combustion chamber, rotor speed of a low pressure compressor (free turbine), rotor speed of a high pressure turbocharger (gas generator), is required. Further development of gas turbine engine control may be associated with the fuzzy control application. The goal of the study consists in upgrading control the fuel supplying to the GTE combustion chamber. The article proposes a new approach to the state regulator adaptation employing triangular terms with different bases, which vertices are being displaced depending on the arithmetic mean values of the input variables of the gas turbine engine, and the bases of the terms are attached to the current abscissas of the term vertices. There is a possibility to develop an adaptive fuzzifier from the analysis of the «traversed path» of each input variable, based on the proposed approach to terms adaptation. The grade of membership determining of the fuzzyfier was performed on the singleton base. Defuzzyfication was performed based on the weight-average formula. This adaptive state regulator allows replacing the standard selector and ensuring adaptability to the GTE external operation conditions. The developed adaptive state regulator is being characterized by better values probability of no-failure of the engine electronic regulator (EER). The results of the study may be employed for the combustion chamber control. The obtained adaptive state regulator will allow significant reduction of the uncertainty in the combustion chamber operation, ensuring guaranteed thrust of the flying vehicle.

The necessity of automating the process of correcting the work plan of the ground automated spacecraft control complex in the interests of increasing the operativeness of countering emergency is reasoned. Method for correcting the work plan of spacecraft control agency is proposed. The plan in question can be represented as sparse network graph of operations. This circumstance makes it possible to reduce the problem of plan correction to the search for maximum cliques in independent subgraphs of the original graph using the known optimal and suboptimal algorithms of graph theory. This approach is implemented in two stages. At the first stage, the complement of the initial operations graph is constructed and a set of disconnected subgraphs is searched in it using known algorithms for finding the components of the graph’s connectivity (in depth or width). The advantage of these algorithms is the linear convergence time relative to the number of vertices and edges in the graph.

At the second stage, the search for maximum cliques of the found subgraphs is carried out. If the subgraph has less than 70 vertices, then the Bron-Kerbosch algorithm is used; otherwise, suboptimal procedures that allow finding acceptable solutions in polynomial time are used.

The modeling of the process of correcting the work plan of the control agency using the developed method and heuristic procedures FIFO and LIFO has been carried out. It is concluded that the use of the developed method provides an increase in the correction completeness index due to optimization procedures when solving the problem of redistributing of the resources of the ground automated spacecraft control complex.

The method developed can be used for:

— creation of software tool for automated correction of the work plan of spacecraft control agency;

— conducting scientific research to assess the stability and operativeness of spacecraft control.

The subject of the study is the methods of quality control of elements of rocket and space technology in production and operation. The aim of the work is to separate surfaces with various impurities (defects) due to an expanded dictionary of features based on second-order statistics (combination matrices).

The method of identification (recognition) of various damage to the surfaces of elements of rocket and space technology is considered.

The initial data for generating signs of damage discrimination is a two-dimensional array of intensities of electromagnetic waves reflected from these surfaces in the optical range. The reflection of light from the studied surfaces is recorded by the digital camera’s CCD-matrix when they are irradiated with a single-mode laser module S-5 (Sanyo) of the visible (red) range with a continuous radiation power of 5 MW in the spectral range of 635 nm, which is the optimal source of coherent radiation for building control and automation systems, alignment and marking devices, as well as for scientific purposes.

The generation of a dictionary of surface recognition features is based on nonlinear transformations of the resulting images (textures). To do this, the two-dimensional array is transformed into a second-order statistic ‒ the spatial dependence matrix (the matrix of combinations) .

The description of class recognition in the language of newly generated features made it possible to eliminate areas of ambiguous solution when identifying surfaces that were present in the previously developed method based on the feature space (mathematical expectation, variance, skewness and kurtosis coefficients) formed on the basis of first-order statistics (histograms of the intensity distribution of reflected signals). Thus, it is possible to separate the contamination (damage) of the surface of the studied elements from each other, eliminating the previously existing uncertainty.

The proposed methodology can be used to form expert opinions that exclude the «human factor» when assessing the condition of the studied surfaces of rocket and space technology elements at various stages of their manufacture and operation (at the manufacturing plant ‒ during production and in operating organizations during repair and maintenance work).

The article proposes employing Bayesian networks capabilities, based on non-uniform data as well as fragments of knowledge representation and posteriori inference for the incoming information accounting, to solve the problems of the spacecraft onboard systems diagnosing.

The developed model and technique are based on mathematical apparatus of Bayesian trust networks, as well as the basic concepts and relationships of the theory of reliability and technical diagnostics of systems. The initial data is information on the reliability (structural and logical schemes, failure rate of elements) of spacecraft typical onboard systems and diagnostic models that linking the types of technical conditions and diagnostic features. For cause-and-effect relationships between the types of technical condition and diagnostic features, sets of conditional probabilities or densities of distributions are pointed, depending on the continuous or discrete type of diagnostic feature, respectively.

The results of the research are constructing technique and a model of an intelligent decisions support system for a spacecraft onboard systems diagnosing.

The article considers examples of new incoming information processing in a fragment of the Bayesian network at diagnosing spacecraft onboard systems. It quotes analytical calculations and posteriori inference results while new information incoming on the spacecraft blocks failures, as well as while incoming of discrete and continuous values of diagnostic features.

The model based on dynamic hybrid Bayesian trust networks includes discrete and continuous variables describing causal relationships of technical conditions and diagnostic features types, as well as relationships of blocks (elements) in terms of reliability. The results of the logical-probabilistic inference allow control the values of the spacecraft operational state probabilities in the course of time, as well as predict possible failures and take proactive measures.

Mathematical models of diagnosing, considered in the article, account for the types of elements connection, reliability of elements, as well as dynamics of technical states types and their relation to the diagnostic features, which may be both continuous and discrete.

One of the concepts for the prospective space systems development consists at present in the spacecraft energy capacity enhancement through the space purpose neuclear reacotrs application.

The article presents computational models that allow radiation conditions determining created by nuclear reactors of advanced spacecraft (AS) in the locations of onboard equipment (OE). In addition to the ionizing radiation (IR) impact from the outer space (OS), the radio-electronic OE is exposed to the penetrating radiation of a nuclear reactor. The article shows that along with a number of operational characteristics increasing, nuclear reactors application as power systems involves stricter requirements for radiation resistance. The results of the absorbed doses’ modeling and calculation for the of the payload insertion vehicle model containing reactor are presented.

Presently, in the context of modernization and the transition to an innovative path of development, space nuclear energetics become up-to-date again. The «Roskosmos» State Corpoation together with the «Rosatom» State Corporation propose developing a project of a spacecraft equipped with a nuclear rocket engine of a more than megawatt capacity for flights to the Moon and Mars 1.

The current requirements for the spacecraft consist in the active life increasing by the amount from10 to 15 years, which entails an increase in the requirements for ensuring the OE radiation resistance.

Among the numerous factors affecting the OE functioning, the IR CP impact may be distinguished due to the fact that both dose (DE) and single (SE) effects caused by the IR CP account for up to 50% of all OE SC failures.

Besides, the OE of a spacecraft with the onboard reactor should function normally in a stationary mixed field of gamma and neutron radiation, which characteristics’ values, as well as the ratio between the gamma and neutron components of the radiation field depend on the thermal power of the reactor, location of the equipment on the spacecraft relative to the reactor, the type and characteristics of the protection used, the reactor operation duration, as well as the presence of the residual gamma background of the reactor in the off state.

In this regard, when spacecraft systems designing, it is necessary to conduct studies on assessing the IR impact of various energies on the OE elements to ensure the required levels of radiation resistance.

The presented models account for the difference between the neutron and photon radiation interaction. The thechniqye for determining the neutron radiation propagation function in the form of the neutron radiation flux density in the the spacecraft structure materials depends greatly on the energy range, which affects significantly the physical processes of interaction. Besides, when neutrons propagate through the spacecraft structural elements, secondary gamma radiation occurs as a result of inelastic scattering and neutron capture. The quantitative characteristics of secondary gamma radiation depend on the type of material, its thickness, and the energy distribution of neutrons.

In the region of photon energies from twenty kiloelectronvolt to ten megaelectronvolt, to which the photons generated by the spacecraft nuclear reactor are being related, the main primary processes of gamma radiation interaction with the spacecraft structure materials are the photoelectric effect and Compton scattering of gamma quanta.

The article cosnsidered computational models, which allow determining the radiation conditions, created by the neuclear reactors of the advanced spacecreaft in the OE locations.

The authors show that the radioelectronic OE is being exposed to the penetrating radiation of a nuclear reactor in addition to the impact of the IR OS, and that along with the increase in a number of operational characteristics, the of nuclear reactors application as energy systems involves stricter requirements for radiation resistance. The models presented in the article allow the specific absorbed doses computing and, with account for the propagation function of the corresponding components of gamma-neutron radiation, determine the absorbed doses at a given point.

The article presents the results of absorbed doses modeling and calculation for a model of a payload insertion vehicle containing a nuclear reactor. It should be noted that the proposed model of the gamma-neutron radiation inpact from the reactor on the spacecraft OE elements is of an applied engineering nature and has no fundamental limitations on the linear dimensions of individual devices and structures when calculating the passage of the AI through the spacecraft elements, which allows it to be employed for calculating local dose radiation loads as well.

Confrontation of parties at ranges exceeding the range of visual visibility, and confrontation at visual visibility may be distinguished in modern air fight. In the first case, the long-range air fight, which represents a flight, detection, identification, closing-in. maneuvering and is being performed applying the surveillance and sighting system (SSS) and with medium and long-range missiles. In the second case, close air fight is being carried out under conditions of maneuvering with high-g, fully employing maneuvering capabilities of an aircraft, physical abilities of a pilot and with application of short-range missiles and cannon armament.

Until the moment of target detection herewith by the onboard facilities or visually by a pilot, the task-oriented control of a fighter can be implemented by a higher-level system. The system possesses the information on both the target and the fighter from the ground-based or airborne control points (CP) through the command radio link to bring it to the radar contact with the target.

After the SSS transition to the continuous direction finding" mode, the third stage of the short-range guidance begins. The basic task of this stage consists in bringing the fighter to a certain area of space, which is restricted by maximum and minimum launching ranges of guided missiles and limiting values of the fighter angular coordinates relative to the target. For the short-range guidance, the «direct close-in» method, directed to achieving the final goal of guidance, is widely used as the basic one.

This method assumes that the target is not maneuvering and keeps its movement parameters of constant. The fighter is being guided along a straight-line trajectory to the point of the intended rendezvous. The end of the short-range guidance phase is the fighter’s stationing to the starting position for the attack. The main task herewith consists in ensuring the target lock-on by the missile coordinator or its readiness for launch. Close guidance ends up with the attack of the target, i.e. applying the GM from the allowed launch zone.

In the incomplete instrumentation mode, the SSS performs target tracking only by the angular coordinates. However, the information on maximum and minimum range is necessary for launching conditions computing. The article suggests a technique for the probability assessing of the fighter guidance to the guided missiles launching zone under conditions of incomplete instrumentation. The gist of the technique consists in determining:

— The probability of a target detecting and locking, under condition of absence of interference in accordance with the explicit dependence on time of identification, lock-on, average time the target staying within sight of the SSS, depending on maximum and minimum range, aiming time and relative close-in speed;

— The probability jumping-off in accordance with the formula dependence of the sector width and guidance errors. The fighter and missile maneuverability is being checked herewith, and in case of missile maneuver capability exceedance, the lock-on sector width is being determined in accordance with the expression depending on the missile and fignter angular speed relative to the close-in speed and average lock-on range;

— The root-mean-square guidance error in accordance with the formula dependence on course mean-square deviation and spatial position mean-square deviation of a fighter and a target. Position measuring accuracy herewith is being determined according to the expression, depending on the fighter to target speed ratio, target speed, measuring time and average lock-on range;

— Additionally, the accuracy error of the fighter and target spatial position under conditions of the incomplete instrumentation based on the indirect target movement parameters determining method.

Simulation of process of the fighter guidance to the allowed launches zone under conditions of incomplete instrumentation allowed revealing that at the measuring accuracy of the target spatial position under conditions of instrumentation incompleteness form 2.6 to 7%, the probability of the fighter guidance to the allowed launches zone changes within the limits from 0.7 to 0.4.

The article considers parallel and series connections of a mechanical system’s elements with a source of harmonic force, or a source of harmonic velocity as a source of the external mechanical harmonic impact. A crank-and-yoke drive and a flywheel with a large moment of inertia can be the source of harmonic velocity. The source of the harmonic force can be represented by the rod of the pneumatic cylinder, which cavity can be in communication with the cavity of another pneumatic cylinder, which diameter is immeasurably higher than that of the first one, and which piston performs harmonic oscillations. The mechanical harmonic impacts, described in the courses of theoretical mechanics, correspond to the source of harmonic force. The article describes the four modes, namely resonances and anti-resonances of forces and velocities. The symbolic (complex) method implementation has significantly simplified the study of resonance and near-resonance phenomena, particularly, it allowed deeply unify and formalize consideration of various mechanical systems. The cumbersome and time-consuming operations associated with the preparation and solution of differential equations have been replaced by simple algebraic transformations. This method is based on the mechanical analogue of Ohm’s law in a complex representation and the concept of mechanical reactance, resistance, impedance, susceptance, conductance and admittance. The classical consideration delivers one amplitude-frequency characteristic, while the symbolic (complex) method delivers eight ones with a significantly larger number of characteristic points and characteristic ratios. Resonance and anti-resonance of forces, resonance and anti-resonance of velocities were determined. Resonances stem from the combinations of parallel connection of elements and a source of harmonic force, or a series connection of elements and a source of harmonic speed. Anti-resonances occur due to the combination of parallel connection of elements and a harmonic velocity source, or their series connection and a harmonic force source.

Baromembrane devices of the flat-chamber type are applied for separation, concentration and purification of solutions by reverse osmosis, nanofiltration, ultrafiltration and microfiltration processes. Operating under excessive pressure, they possess the following characteristics: ease of assembly and installation, a sufficiently high specific separation area, reliable operation, and a small pressure drop. The difficulty in operation of such devices, for example, for reverse osmosis, lies in the large values of working transmembrane pressure. To solve this problem, the authors proposed to employ end flanges, characterized by increased rigidity and strength. The purpose of this work is to study the stress-strain state of the structures of the end flanges of the flat-chamber type baromembrane apparatus operating under high transmembrane pressure.

The flanges with shape of rectangular plates, are made of “caprolon” (dielectric material). There are holes on the cover for bolts, necessary for tightening the intermediate working chambers to seal them. To increase the strength characteristics, a metal plate in its structure, which is superimposed on the flanges is provided.

During this device operation, its individual working surfaces are being exposed to highly concentrated solutions. In the authors’ opinion, optimal dimensions selection, namely of flanges in this particular case, based on the strength and rigidity conditions is an urgent task. To study the stress-strain state of the flange, we use both analytical and numerical methods. Accounting for the strength parameters and stiffness, several options of the design scheme were considered to select the flange optimal dimensions:

– A flange without a plate and bolts;

– A flange with a plate but without bolts;

– A flange without both a plate and bolts;

– A flange with a plate and bolts.

Computations were performed using the SOLIDWORKS Finite Element Method (FEM) software.

Analyzing the data the displacements and stresses values computing, a good comparability of the results was noted. The conducted studies of the flange of the flat-chamber type baromembrane apparatus, in terms of strength and stiffness allowed determining the design scheme reflecting the design of the real device. A comparison of the techniques for the flange calculating revealed the correctness of the design scheme selection and the method for calculating the end flange of the baromembrane device.

The purpose of the article consists in verifying mathematical model of thin-walled cylindrical shell vibrations under the impact of the uniform temperature based on variation formulation, and employing various methods, including the experimental one.

The state-of-the-art construction often employs expressive and cost-effective shapes of buildings and structures in the form of thin-walled cylindrical shells. These buildings herewith are being exposed to temperature impacts and external forces action, leading to technogenic accidents. To avoid these accidents, frequency responce of buildings and structures should be computed. Dynamic temperature variations of the shell lead to the elastic modulus of buildings changing, which affects the frequency response dynamics. The existing vibration analysis models for thin-walled cylindrical shells do not fully account for this fact, thus, improved analytical models development is required with confirmation of the high quality of the developed model. Experimental verification is one of the most common methods of mathematical models proofing. The new theoretical basis parameters are being verified with a realistic scaled-down model of the structure, and comparison of experimental and theoretical data is being performed.

The article presents a new design model for thin-walled cylindrical structures vibrations being exposed to the uniform heating, based on variation formulation. The obtained design model has been verified by experiment, and its application range has been determined.

The new verified mathematical model can be used for performing structural analysis, in design bureaus conducting vibration analysis for cylindrical shells.

Comparison of experimental and theoretical results of was performed. Convergence of the results is less than 5%. It was demonstrated also that the experimental data revealed a discrepancy with the results obtained while vibrations computing of the open cylindrical shells by the well-known mathematical model.

This article studies longitudinal deformation waves in coaxial elastic shells with soft cubic nonlinearity, containing a viscous incompressible fluid, both between them and in the inner shell. The structural damping effect of the shell material in both longitudinal and normal directions and the environment surrounding the outer shell on the wave amplitude and speed was accounted for. The article demonstrates that this leads to the need for numerical methods application to study the nonlinear wave process. The numerical study of the model obtained in the course of this work being performed employing a difference scheme for equations similar to the Crank-Nicholson scheme. In the absence of liquid inside the shell, structural damping in the longitudinal direction as well as surrounding elastic medium, the velocity and amplitude of the waves, propagated in the shells, do not change. Computations show that the waves’ movement takes place in the introduced moving coordinates system in the negative direction of the abscissa axis. This means that the found nonlinear addition to the wave velocities in the linear approximation (the speed of sound) decreases the waves velocities and they become subsonic. The result of the computational experiment in this case coincides with the exact solution; therefore, the difference scheme and the system of generalized modified Korteweg – de Vries – Burgers (MCdV-B) equations proposed in this work are adequate. At accounting for the impact of inertia of the liquid motion in the inner shell, a velocity decrease of the deformation waves occurs, while the presence of the elastic medium surrounding the outer shell leads to their velocity increase. The liquid viscous stress in the inner shell and structural damping of the shells’ material in the longitudinal direction leads to the waves amplitudes decrease. Structural damping in the normal direction increases the wave amplitude by a constant value and decreases its velocity.

The main purpose of the presented work consists in the displacements determining of the plate under the given boundary conditions. By reason of purely mathematical difficulties, such kind of problems consider, as a rule, a limited number of types of soundproof panels fixing, being reduced to the boundary conditions corresponding to the free bearing. Thus, obtaining techniques for solving the problems associated with interrelation of acoustic media and a plate is of significant scientific value. The approach used to solve problems with arbitrary boundary conditions is generally applicable to solving other problems, particularly, of the theory of plates and shells. It supposes a solution finding of a problem on sound absorbing properties of the homogeneous infinite plate. After this, strive for the fulfillment of boundary conditions in certain points of the infinite plate. The problem setting herewith is assumed related, where not only direct impact of the wave on the obstacle but also the acoustic media behavior prior to and after the noise absorbing obstacle are being accounted for. This formulation of the problem allows determining the noise level not only directly at the interface between the plate and the acoustic medium, but also at any distance from it.

The article presents the developed general approach to the solution of the problems with arbitrary boundary conditions for the plates. The problem of the plane harmonic wave interaction with the infinite homogeneous Kirchhoff-Love plate has been solved. The midline normal displacements were determined depending on the oncoming wave frequency. Influence functions for auxiliary forces, necessary to ensure the boundary conditions fulfillment in the specified points, were found for employing the method of compensating loads. The compensating forces values were determined based on the boundary conditions for rigid fixing of the plate edges. As an example, normal midline displacements, corresponding to the rigid fixing on the two edges and hinge attachment, were obtained based on superposition. The boundary conditions fulfillment in both cases was demonstrated. The sound absorption coefficient for a rigidly fixed plate has been determined.

Currently, the toll roads construction or organization of the toll roads on the already existing road network is a promising trend in the development of a high-quality road system. In the context of insufficiency of the budget funds being laid out in Russia for the toll road infrastructure development, the issue of attracting private investment for road construction has become acute. For investments attraction, the toll road system should be organized so that it would guarantee refunding of the committed facilities and sufficient profit margin to the investor for account of toll operation of the object, as well as economic concernment of the society, which would employ this system.

The obvious disadvantage of toll drive way systems with toll gathering points is the costly maintenance of the systems, both in terms of the entry and/or exit checkpoints equipment, and the involvement of full-time operators. The main disadvantage for the drivers is traffic jams creation at the entrance and exit of the toll road section.

To solve these problems, an electronic system of fees was implemented. With this technology implementation, the driver passes the toll plazas without stopping at a given speed. Payment is being made with special electronic systems. Today, the existing Russian systems have their drawbacks, such as inability to read heavily polluted or deliberately hidden license plates without transponders, as well as the lack of on-time payment guarantee of the drive way at the post-payment.

The purpose of the work consists in studying automated information systems that determine location of a vehicle by the Global navigation satellite systems GLONASS and GPS, to eliminate the above said problems peculiar to the electronic tolling systems.

Implementation of the ERA-GLONASS automated information data systems and vehicle monitoring systems opens up an opportunity to the electronic tolling system improvement. For vehicles with the above-mentioned systems, the approach does not require installation of additional equipment, and if the individual vehicle identifier is linked to the vehicle identification number (VIN) and its registration plate, it allows solving the problem of unreadable numbers. The absence of changes to the hardware on the car side allows also performing further modification of the system with device updates by simple flashing.

For this solution implementation, the machine (computer) code and previously released devices updating is necessary. The access point for vehicles registration at the entrance and exit of the toll road section are necessary to be installed herewith. Information transfer to the data processing center for the vehicles monitoring will be realized through the mobile GSM system. After data processing, a driver would receive a receipt for payment for the toll road section passage.

For the proposed solution verification, computation of the traffic being transferred from the vehicles to the GSM standard base station on weekdays and weekends/holidays based on the M/M/1 queuing system.

The article presents the obtained graphs of the distribution function of waiting time for a vehicle serving by a single station covering the toll road section. Inferences were drawn that the servicing waiting time would be less than 400 ms with probability of about 0.99 on both weekday and holiday.

The maximum number of vehicles served by one base station was computed as well. Thus, on a weekday, this number will be 118992, and on a weekend/holiday 161952 vehicles.

Thus, due to vehicles monitoring by the “ERA-GLONASS” and monitoring systems, which receive code signals from the Global navigation satellite systems GLONASS and GPS to determine the location, the barriers at the toll roads entrance and exit can be discarded. The solution will lead not only to the electronic passage fare system maintenance cost reduction, traffic jams reduction at the entrance and exit when transition to the electronic paying system with minimum costs.

The proposed modernization can also act as an independent system, and allows also improving the existing electronic fare payment systems in Russia to reduce the likelihood of unpunished free drive way, which opens up an additional opportunity to attract investment for construction and maintenance of the toll roads.

The main effort of the scientific community in the field of telecommunications at present is focused on the development of the fifth generation mobile communication networks, which feature is an increased data rate up to 10 Gbit/s.

An important requirement for the fifth generation mobile networks consists in ensuring flexibility of their architecture for various kinds of applications functioning, of which realization is also possible by employing technologies of software-defined network (SDN) and network functions virtualization (NFV).

The article proposes a model for a network segment organizing under the OpenFLow protocol control, and packages format with account for the possibilities for data transmission level control. The delay and throughput characteristics of the modeled nework segment, demonstrating the SDN networks advantages when employing the proposed format of the control packages, were obtained.

The 5G standard envisages wireless communications with the encreased wireless data rate and throughput; enhanced coverage area; significantly diminished total delay and reduced energy consumption. Data transfer rate should reach the values from 1 to 10 Gbit/s in real networks which is ten times higher than the theoretical peak data transfer rate in the LTE network, i.e. 150 Mbit/s. The symmetrical delay herewith was originally being planned at the level not more than 1 ms, i.e. nearly ten times less than for the 4G. Other key tenets of the 5G development are high throughput in terms of the unit of coverage area and a huge number of connected devices.

With high requirements for the delay and limited bandwidth, a new paradigm for organizing a cell and a base station as a whole is being introduced. The increase in demand for wireless infrastructure capacity has changed the way the networks are designed, and shifted the focus to multiple small cells as opposed to the original hexagonal of the large areas coverage

Changes in architecture and radio interface put emphasis on the development of the 5G standard for smaller cell sizes and an increased number of antennas. Configuring and maintaining numerous network equipment, servers and routers with such a dense of the deployed 5G network is a daunting task. The Software Design Network offers a simplified solution to this complex problem. The fundamental principle of the SDN is the separation of the network between the layers of control and data transmission, which ensures speed and flexibility in 5G networks, as well as employing the existed network architecture and reducing the requirements for computing power of the network equipment. The SDN concept decouples data and manages layers by the software components. The software components are responsible for the management layer, reducing thereby the hardware requirements for the network equipment. Interaction between the two layers is being achieved through the open interfaces, the most popular of which is Open Flow.

The article considered the requirements of the 5G standard for the network infrastructure. It demonstrated the general tendency to reducing the cell size, moving digital processing to the core network level, and locating on sites only radio transceivers, operating on the SDR technology. It was determined at the network architecture level that the software-defined network ensusres the greatest convergence, reuse of current network resources and the easiest scaling and standard changing in the future.

The article shows that the most successful solution to preserve the existing network infrastructure is the OEPC protocol. It presnts the of service messages formats, as well as proposes a frame format with fields that support GTP tunnels.

The simulation results allowed establishing that the SDN-consept based network ensures low delays and, with the selected packages format application, uniform balancing of the network loading. It allows employing the suggested modification of the packages fields to create new algorithms for the communication means control.

The article considers the problem of combining the radar image generated by the onboard equipment of a small aircraft and a digital geographical map of the area, taking into account the heights in real time. To solve this problem, we use methods of correlation-extreme image matching, methods of high-precision on-board monitoring, methods of image matching and processing. To implement a system for the operational display of current location information received by radar equipment from the sides of small aircraft, it is necessary to combine radar and topographic (optical) images into a single information field. To do this, you need to find the appropriate functional transformation in order to overlay the actual data generated in real time on the geographical map. For this purpose, an algorithm for combining the radar image and a digital map of the area based on the correlation-extreme method has been developed. To solve the condition of the algorithm for finding a small aircraft at a point from the confidence square, a criterion for combining four pairs of reference points is proposed. In the case of an insufficient number of reference point pairs, the algorithm provides for the use of a unique pair, which allows you to perform a primary comparison of the contours of characteristic reference points and calculate preliminary estimates of the components of the error vector of navigation data. The software implementation of the above-mentioned algorithms on programmable logic integrated circuits can be performed using parallel calculations, which allows for a mode that is close to real time. The results obtained can be used to update topographic maps of the earth’s surface, for environmental monitoring of areas of high attention, as well as for the implementation of autonomous navigation of aircraft during operational search and rescue operations in areas of emergencies and natural and man-made disasters. The results of the work are adaptable for processing images obtained in different spectral ranges and combining them with a digital map of the area in order to increase the information content of the information obtained.

The article regards the problem solution of satellite stabilization using the algorithm for finding the optimal open-loop control based on application of the expansion in terms of the system of basis functions and the multi-agent method.

Multi-agent algorithms are quite popular now and used in various fields of science. Multi-agent algorithms are not rigorously justified and convergence guarantee, however they are successfully applied in practice and demonstrate acceptable results in reasonable computational time. The article proposes a hybrid multi-agent interpolation search algorithm based on the Bezier, Catmull-Rom and B-splines interpolation curves construction. The curves are being constructed based on information on the agents, form the current population, position. In addition, the algorithm needs to solve the problems of one-dimensional parametric optimization to realize the exploratory and frontal search. Beyond that point, the described multi-agent method employs the ideas of swarm intelligence and migration algorithms.

Besides, the algorithm under consideration for the optimal open-loop control search is based on application of the expansion in terms of the system of basis functions. This approach is quite popular and actively used in the spectral method for nonlinear control systems analysis and synthesis. The authors propose to search for the optimal open-loop control in the form of a saturation function, which argument is a linear combination of the given basis functions with some coefficients to be found. Particularly, piecewise constant, piecewise linear, quadratic and cubic splines are being used as basis functions. In addition, the saturation function should guarantee the specified constraints fulfillment on the parallelepipedic-type control.

Based on the proposed algorithm, the software for the optimal open-loop control search has been developed, and its algorithm efficiency has been studied when solving the problem of position stabilizing of a satellite driven by engines. Comparative analysis of the effect of basis system selection was performed as well. As it can be seen from the numerical experiment, the algorithm successfully copes with the problem of the satellite position stabilizing and finds a solution close to optimal when using all the above-mentioned systems of basis functions. In addition, the interpolation method parameters were selected so that to achieve a high accuracy of the applied problem being solved.

The article describes a comparative analysis of separate and loosely coupled architectures of navigation information integration in the case of the following sensors application:

– inertial sensors based on micro-electro-mechanical systems (MEMS) technologies comprising accelerometers measuring proper acceleration, and gyros, measuring rotation speed of a body;

– barometer, measuring air pressure under certain conditions; and, finally,

– GNSS-receiver forming information on position and velocity of the unmanned aerial vehicle (UAV).

Let us pay attention to the fact that the MEMS-based inertial sensors exhibit large errors that can be compensated using data on the position (latitude and longitude) and velocity of the UAV from the GNSS-receiver, as well as on the altitude, being updated by the barometer using hypsometric expression. However, navigation information about the UAV from inertial system is basic since it possesses a high refresh rate and property of independence on the external interference.

In the case of a separate integration architecture, the algorithm of the strapdown inertial navigation system restarts with new initial conditions for the UAV position and velocity from the GNSS-receiver and barometer, respectively. This approach requires minimal hardware and software costs, though the precision of the integrated navigation solution herewith is getting worse with the restart time increasing.

A loosely coupled integration architecture employs the integrated Kalman filter to evaluate the UAV coordinates, velocity and orientation, as well as systematic errors of accelerometers and angular rate sensors. Computed estimates of the inertial system errors are being subtracted from its indications for errors compensation. Thus, this approach is being characterized by high precision and reliability of navigation solution, but, at the same time, tuning integrated Kalman filter is not a trivial task.

The article deals with the problem of complexity assessing of the procedures for determining the incoming information blocks source. The algorithm for processing the blocks analyzed by the receiver, implementing the data source identifying method, is described. The method is based on incoming blocks unification on the receiver side into the structured sets, and checking for these blocks certain logic values, being computed on the assumption of these blocks content and certain a priori information, known to both the source and receiver. The blocks, incoming to the receiver, are being buffered and then unified into the structured intersected sets. This sets form a tree-type structure in the receiver memory. Analyzing this structure, the receiver determines that structured set, which was formed by the target source.

The article shows how the number of these sets, being formed, affects the incoming blocks analyzing complexity. A mathematical model for assessing typical operations, executed by the receiver while the incoming blocks checking and their appending to the corresponding side branches of the tree structure, was developed based on the theory of probability.

Functional dependencies between the probability of the side branches of the tree structure forming and their length and parameters, used while organizing interaction between the source and the receive were determined.

Mathematical expectation of the number of operations executed by the receiver to analyze the contents of the information blocks service fields was estimated, based on the obtained probability estimates. The dependencies between the characteristics of the information systems, in which the considered identification method is implemented, the service information fields size and the number of elementary operations were determined. Based on the obtained results, the space of receiver operating parameters was partitioned into the ranges, in which the dependence of algorithmic complexity on the number of data sources can be approximated by various functions. The range where complexity increases linearly with the number of interacted elements of the information system growth was determined as operating range. This makes the studied method more preferable compared to the known ones with power and factorial complexity, especially when identifying the sets of large the data blocks.

The purpose of the research is to reduce the time spent on processing information, contributing to an increase in the speed of a reconfigurable real-time system, by creating a methodology and an algorithm for distributing an array of computational tasks.

The research methods of the work are based on the definitions of set theory, graphs, probability theory and mathematical statistics. With their help, a mathematical model and a system of criteria for a reconfigurable real-time computing system, built on a wireless protocol, was created, which allows placing tasks according to the minimum-maximum time estimate. And also an algorithm for placing tasks in a computer complex is proposed, which allows increasing the performance of the system by reducing the time of data transfer.

As a result of the research, a method was developed for the distribution of computational tasks in a real-time reconfigurable computing system, which makes it possible to reduce the time of data transmission within the system, which increases the performance of the complex. A methodology for distributing computational tasks to individual processor modules has been compiled. The work of the proposed methods is simulated. And a system of criteria is proposed that describes the final state of a reconfigurable real-time computing system. As a result, the resulting system gave a gain in time of about 2.5 times. Placing connected problems in dynamic systems reduces the payoff coefficient linearly.

The resulting model can be used in distributed computing. The work of the proposed methods is simulated. Their analysis confirmed the increase in system performance as a whole.

The soft computing technology toolkit is based on fuzzy systems, probabilistic models, neural networks, genetic algorithms, etc., which have their own advantages and disadvantages. This toolkit application was considered for an aircraft gas turbine engine (GTE) operating under conditions of uncertainties such as regulating hardware elements aging, variable ambient environment parameters, and variable fuel parameters.

Combustion chamber, ensuring the process of the air-fuel mixture (AFM) burning, is one of the basic parts of the gas turbine engine. Today’s progress in aircraft building development imposes requirements to the aircraft and engine soft-hardware facilities integration simplicity, as well as reduction of deleterious substances exhaust to the environment.

The purpose of the presented study consists in the following:

– developing method and algorithm for the adaptive virtual measurer of the deleterious substances exhaust by the GTE combusting chamber based on the RBF-network;

– adaptive control of air consumption into the combustion chamber;

– adaptive control of the gases temperature behind the combustion chamber employing fuel consumption regulation by the homogeneous collector.

The following research techniques were used in this work:

– grapho-analytical method for the RBF-network architecture building as an alternative to the Kohonen algorithm;

– an algorithm for oxidizer feeding control with the RBF-network;

– creating an algorithm for the current total value of deleterious substances correction at the specified value exceedance;

– creating an algorithm for the fuel consumption control in the homogeneous collector while temperature control behind the GTE combustion chamber by the adaptive fuzzy regulator

Based on the total computing of the deleterious substances, the following conclusion can be made on the exhausts requirements, which is 18 kg, as well as improvement of control system of the remote guiding device (RGD), and combustion products temperature behind the GTE combustion chamber.

The results of the research confirmed the decline of the combustion process uncertainty impact, and exhausts reduction in the airfield vicinity.

The work shows the relevance of using the X-Plane flight simulator as a research program. From the existing programs allowing to realize interaction with X-Plane such as Microsoft Visual Studio, Builder C ++, Delphi, Matlab Simulink, LabView, etc., many are import therefore their use in the Russian enterprises and universities is undesirable. Besides, it doesn’t allow students, teachers and engineers to conduct researches without license for these products.

In this regard, for interaction with the X-Plane flight simulator, it is advisable to use the Russian modeling program SimInTech, which is not inferior to imported analogues in terms of functionality and calculation quality, and also has some advantages and can be provided to Russian universities and enterprises for free. To interact SimInTech with the X-Plane flight simulator a set of primitive blocks is used. Ready demos projects with all necessary blocks which are adjusted for interaction with X-Plane are available to the user. When developing the project it is expedient to use ready decisions to start work.

Interaction of the user with X-Plane for the research purposes is carried out by receiving data from the simulator and sending data to the simulator. For an example it is considered the «Damper» block-submodel. It’s work is described and it’s elements are considered. The mechanism of interaction of the project in SimInTech with the X-Plane flight simulator is described. With use of primitive blocks in SimInTech the implementation (reproduction) of schemes of various aviation systems is possible. Sharing of SimInTech also X-Plane allows to accept from the flight simulator data which in real aircraft can be received from various onboard sensors and systems.

To interact with the X-Plane flight simulator, the program SimInTech developed demo examples that implement all available methods of sending and receiving data, so it is in no way inferior to other programs that can be used for the same purposes. References to documentation containing detailed instructions for use of SimInTech and X-Plane are given.

One of the major UAV shortages is limitation imposed on its energy provision. This shortage necessitates optimal distribution of the UAV energy balance by optimal selection of its flight trajectory and communication order. Alongside with that, the final product of the reconnaissance type UAV is the information volume collected while the performed flight. The main inference from the above said is that the UAV should operate in the energy-informational effective functioning mode. The purpose of the presented work consists in developing the technique for optimal mode parameters computing, ensuring energy-informational effective mode of the UAV functioning.

The suggested technique is based on the UAV representation of as a cyber-physical system fed by electric battery, and envisages performing a two-step optimization of the UAV functioning. The first step implements optimization of energy consumption optimization based of the battery discharge model. The optimization criterion at the first step is the indicator of the distance covered, defined as a product of the optimal speed of the cyber-physical system and the flight time during which the battery discharge was minimum at the minimum computed load current and specified battery capacity. At the second stage, the optimization criterion is the quantity of the procured information at the fixed length of the passed flight track.

The authors formed and solved the problem of the remote sensing UAV functioning optimization, performing the flight in energy-informational effective mode. Quadratic equation, which solution allowed determining the optimal load current value was obtained. Formulas for computing the stages optimality criteria of the suggested two-stage optimization method of the remote sensing UAV were obtained as well.

The obtained results may be employed in developing highly effective UAV implemented with a view of remote sensing information collecting and processing in the extended time functioning.

The major outcome of performed study consists in the possibility of the UAV energy-informational functioning implementation intended for of information collecting and remote sensing.

The article presents the analysis of the two approaches, namely positional and positional-rapid ones, for target movement parameters determining based on its track angles. It was revealed herewith that methods based the above said approaches are not employed at present.

With the positional approach application, only absolute or relative coordinates characterizing the target space position are being employed, while the positional-velocity method allows determining both velocity and acceleration of the moving target, enabling dynamics evaluation of its spatial movement. Within the framework of the latter approach phase coordinates of the target, mother aircraft and measurement are being represented as vectors in multi-dimensional space of states. The coordinates’ estimates herewith may be formed either in both Cartesian and polar coordinates based on either real or artificially generated measurements.

The positional approach to the coordinates’ evaluation is being realized based on the azimuthal-elevation, triangulation and kinematic methods. The azimuthal-elevation method employs the results of azimuth and elevation angle simultaneous measurements of the stationary ground target. The slant distance to the target is being determined based on the values of altitude and elevation angle. The scope of its application is restricted.

With the action against stationary ground targets, both triangulation and kinematic methods are used. The triangulation method for the target position determining employs analytical dependencies between the sides and angles of a triangle, which vertexes are associated with the target and radar station. This method implies solving algebraic equations. However, its application is restricted due to problems associated with the targets identification, staying at the same angular position. The simplest kinematic method rests upon the notion of the equations describing the process of reciprocal motion of the aircraft and the target including a motioning target. The state-of-the-art kinematic method, which might be named dynamic-kinematic, is based on mathematical description of reciprocal movement of a target and radar carrying aircraft in the state space.

The positional-velocity approach to estimating the target coordinates is being realized base on the pseudo triangulation and kinematic methods. The kinematic method is inapplicable due to the impossibility of nonlinear filtering of Markov processes implementation.

The authors propose a mathematical model for indirect parameters determining of the airborne target based on description of the objects rendezvous procedure in the form of linear equations corresponding to various options of the situational scenery while rendezvous. The article demonstrates the process of the system of linear equations preparation to the iteration process. Estimation of degree of convergence of system of linear equations, describing the rendezvous process of the objects at various values of the input parameters, was performed. It was revealed herewith that:

The degree of convergence for the system of equations which describe the process for objects approaching each other with different values of input parameters has been estimated. The results obtained show that:

– In case of the exact input parameters the degree of convergence is high, and the number of iterations achieves k = 55 for the mean-square values of range and velocity of correspondingly from δ_D1 = 1.5% to δ_D1 = 4.2% and δ_Lt = 11.8%;

– In case of inaccurate input parameters (the error Δβ = ±0.1°, Δβ = ±1´,
Δβ = ±3.6” = 0.001°) the number of iterations equals correspondingly k = 7490; k = 598;
k = 355, the degree of convergence is poor, which does not ensure satisfactory closeness to the solution. Zeidel method application in this case herewith is stipulated by its constant convergence for the normal systems of linear algebraic equations.

Accuracy evaluation of the range to the airborne target and its velocity can be increased with multiple measuring of angular coordinates (using a «bunch» of measurements). Practical computations revealed that with n = 20–25 the error in the range determining was from 15% to 20%, and in velocity determining was 20%—25%.

The article is devoted to the research of approach to getting the drop-diameter distribution, the spray angle and the localization of kerosene flow inside an air-assisted atomizer by simulations performed with the coarse meshes, which are not fine enough to accurately imitate turbulence and with the level of mesh refinement that are not high enough to make the value of drop diameter independent on the mesh cell size. The simulation of fluid in the air-assisted atomizer, which was patented under the number RU2615618, was performed using ANSYS Fluent by the volume of fluid method in two configurations: 1) The five-degree sector on the mesh with minimal sell size 25 μm and 2-time, 3-time and 4-time adaptive mesh refinements at the gas-liquid interface, 2) The full geometry with fuel channels and swirlers on the mesh with minimal sell size 125 μm and 2-time adaptive mesh refinement. The last approach is the main way to simulate the atomization of fuel in air-assisted atomizers in UEC-Aviadvigatel JSC. Comparison of the results reveals that the value of spray angle doesn’t substantially depend on the minimum mesh cell size. Regarding the diameters of droplets, it plunged by more than 70% with the reduction of mesh cell size. Consequently, the simulation of atomization with coarse meshes gives the upper estimate of droplet radius and this result can be of practical use, if the value is so small, that its reduction wouldn’t substantially influence emissions of NOx and the gas temperature after combustion chamber being yielded by the combustion simulation.

The relevance of the topic of the article is due to the need to increase the autonomy of solving the navigation problem of promising spacecraft with a long period of active existence in the conditions of uncertainty of the existing disturbing effects of outer space. A promising way to combat these disturbing influences is the development and manufacture of fault-tolerant onboard systems of spacecraft, including onboard systems designed to solve problems of autonomous navigation.

The article provides a solution to the problem, the essence of which is to study the fault tolerance of the optical-electronic navigation system of the spacecraft, which can be used as an additional source of autonomous determination of the parameters of its orbital motion. The study of fault tolerance is carried out on the example of an optoelectronic navigation system of an autonomous spacecraft with a long active life, based on the zenith navigation method and containing two astronomical sensors, a local vertical builder, an altimeter and an onboard computer.

The main results of the work are the proposed indicators that allow us to assess the fault tolerance of the onboard systems of spacecraft. Using the method of mathematical modeling, the article shows the possibility of quantifying the fault tolerance of an on-board optoelectronic navigation system. The classification of fault tolerance indicators of onboard systems of spacecraft is developed, the ratio for calculating the conditional fault tolerance indicator is obtained, which allows us to evaluate the fault tolerance at known values of the failure probabilities of the components of the onboard system, and quantitative estimates of the fault tolerance indicators of the optoelectronic navigation system of an autonomous spacecraft are given.

The results obtained in the article are based on methods for assessing the fault tolerance of technical systems for various purposes, the theory of autonomous navigation of spacecraft, and methods for processing the results of navigation measurements.

The results of the conducted research can be used when it is necessary to justify the appearance of onboard systems of spacecraft with a long active life and the requirements for the fault tolerance of their optoelectronic navigation system, as well as when evaluating and monitoring fault tolerance indicators during the development and operation of these systems.

The article is devoted to the development of new methods and improvement of existing methods as well as analysis means of data processing in aircraft navigational systems. Particularly, are present an analysis of results of theoretical and applied data processing method development and research as a part of Comprehensive Measurement Navigation System are considered in the article.

The concept of the system is developed: taking into consideration application specifics, available limitations and level of accuracy and functionality requirements, hardware component is realized completely on electro- and radio-articles of Russian production. As raw data sensors the following sensors are used: inertial sensors (compensating silicon accelerometer, solid state wave gyroscopes), pressure transducers (static pressure transducer, total pressure transducer), navigation satellite system receiver and analogue magnetometer.

The system structure synthesis is performed, main data communications between data sources are determined in terms of available constraints and level of accuracy and functionality requirements for Comprehensive Measurement Navigation System. Possible data interconnection is conducted; as a result, methods and algorithms are established for quality improvement by means of measurement error reduction of flight and navigation parameters:

– autonomous compensation algorithm of gyroscope error;

– method of data fusion from inertial and barometric sensor;

– method of data fusion from inertial sensors and satellite navigation system.

The results of abovementioned method researches are performed using mathematical and semi-realistic simulation, as well as by ground tryout of the Comprehensive Measurement Navigation System test item.

Research data showed that developed solutions and methods of data processing allow to produce measurement navigation system of aerial application with required specifications based on Russian hardware components.

The article deals with optimization and synthesis of multifunctional unmanned aerial vehicles (UAV) with account for the noises impact. The purpose of the work consists in of multifunctional UAV functioning optimization intended for sequential implementation the tasks of load delivery and making a terrain reconnaissance by remote probing technique. The necessity for this task fulfillment in military art is explosives delivery and release, as well as explosion aftermath assessing.

The authors employed the well-known results of the UAV navigation provision task using local radio-technical navigation system, allowing achieve high accuracy in the UAV delivery to the specified target no less than the satellite radio-navigation systems accuracy. The article considered the cases absence of radio-navigation signal suppressing, as well as multichannel Doppler signal processing and pulse-to-pulse phase manipulation of navigation signal under conditions of radio-electronic counteraction.

The task of the multifunctioning UAV functioning optimization, performing functions of the load delivery to the specified point (a) and (b) making reconnaissance in the vicinity of this point under conditions of local radio-navigation system (pseudo- satellites) application was formed and solved.

As the result of the UAV functioning optimization at the relatively small distances, the optimal functional dependence of the UAV positioning at the specified point probability on the flight distance was obtained.

The results obtained in the article can be implemented while developing and operating the multifunctional UAV of the similar purpose. The authors formulated and solved the problem of the multifunctional UAV functioning optimization, sequentially performing the functions of (a) load delivery to the specified point, and (b) making reconnaissance in the vicinity of this point

The results of the multifunctional UAV operating mode optimization at relatively small distances demonstrated the presence of the optimal functional dependence of the probability of the UAV positioning at the specified point ono the UAV flight distance value.

The article considers both parallel-series and series-parallel connection of consumers of mechanical power. The purpose of the work consists in developing compact algebraic methods for ramified mechanical systems computing at forced vibrations in the steady-state modes. Speeds of mechanical systems’ elements and forces applied to them are being determined algebraically through the known systems parameters and disturbing harmonic impact. A complex representation of harmonic and related mechanical quantities is used. This approach is widely used in electrical engineering. The main research methods within the framework of this work are methods of mathematical modeling and analysis. It is not the physical object itself herewith, which is being studied, but its mathematical model, namely the object “equivalent” reflecting its major properties, i.e. the laws it follows, connections peculiar to its constituent parts etc. As for the considered ramified mechanical systems, classical methods based on solving the second order differential equations are being multiply complicated and require solving the systems of equations, which are being reduced to the systems of higher orders. Symbolic (complex) description employing for the mechanical processes and systems allows apply instead simple and compact algebraic methods, which labor intensity is tenfold less.

A relation between mechanical values for various types of elements connection of mechanical systems was established. Being an unnecessary component of mechanical systems studying, vector diagrams are of great methodological value, since they demonstrate quantitative and phase relationships between systems’ parameters.

As of today, Russian space industry announced several projects of new launch vessels, such as super heavy class rocket and the rocket with reusable stages, operated on liquefied natural gas as a fuel. Moreover, other countries, such as USA, China and the ESA members, announced plans of future missions to Mars and Moon. A considerable part of the future space missions depends on the possibility of effective long-term storage of cryogenic fuel components under lowered gravity conditions. The important role of cryogens in space flights is being determined by their widespread application as a fuel and in life support systems.

Due to cryogens’ very low temperatures, the tanks for their storage are extremely sensitive to the thermal flows from the environment caused by solar radiation, aerodynamic heating and conductive transference from the other parts of a spacecraft. External heating and the presence of microgravity lead to pressure raise and free-convective motions in the storage tank. The pressure rise rate is being accelerated by temperature stratification effect. This effect has been demonstrated in many ground and space experiments.

One of the most important problem in experimental cryogenic storage studies is scale factor. Most of experimental data was obtained with small-size fuel tanks. This leads to the problem of geometric similarity violation of the fuel tank wall thickness compared to the real rocket storage tanks. To estimate the impact of this dissimilarity, the article considers the problem of the wall’s thermal capacity and thermal conductivity impact on temperature stratification and pressure rise at the vapor non-stationary thermal convection in the closed cylindrical vessel.

Low Mach numbers approximation is being used to describe evolution of the vapor temperature, velocity, density and other parameters. Boundary conditions, defining parameters range, physical properties of vapor and a wall material simulate conditions of the experiment on drainage-free hydrogen storage.

A series of computations at various wall thickness values was performed using numerical method proposed by Quazzani and Garrabos. The computation data demonstrates considerable reduction in the pressure rise rate, temperature stratification value and convection intensity with the wall thickness increase. The obtained results demonstrate the possibility of considerable underrating of the pressure rise rate and other heat exchange parameters on the steam blanket of the tank, when the wall’s real thermal capacity and thermal conductivity are not being accounted for.

The problem of dynamic deformation of a cylindrical shell with a collapsing elastic base under the action of internal pressure on the free part of the cylinder and a movable radial load is solved. The deformation of the structure is considered to be axisymmetric and is described by the equations of the moment classical theory of shells, and the filler obeys the Winkler hypothesis. Similar problems arise in the design of solid propellant rocket engines (solid propellant rocket engines). In this case, the destruction of the filler is explained by fuel burnout, and the internal pressure is due to the action of combustion products. A movable radial load simulates a pressure wave, as a result of which the problem of determining the critical speed of its movement arises, at which the solid propellant rocket walls lose stability. We will consider the solution of the problem in tw o versions – quasi-static and dynamic, which will allow us to compare solutions and choose the optimal one. In the quasi-static version of the solution, the deformed state of the shell, determined by its deflection w, does not depend on time t, but changes only along the x-axis. Examples are considered and parametric studies are carried out. In the dynamic version of the problem statement, we assume that the deformed state of the shell depends not only on its longitudinal coordinate x, but also on the time t. We will consider two types of pinning the ends of the shell – hinged pinning and rigid pinning. From a comparison of the graphs obtained, it can be seen that with rigid pinching of the ends of the shell, the natural vibration frequencies are higher than with their hinged support.

The most common problem in flange connections of pipes is to ensure their tightness during the functioning. At the same time it is unacceptable to design constructions of flange connections too strong and heavy, because it can lead to increasing of loads, acting on a flying vehicle. That’s why it is necessary to have a method of tightness analysis. In this article connection with Z-shape seal is estimated during the phase of loading by external axial force. The problem is – to obtain relations, which allows to calculate increment of contact pressure between edge of the seal and surface of flange. It allows to calculate total contact pressure and use it in tightness analysis of connection by means of Kozeni-Karman’s theory of equivalent porous layer. According to this theory, flanges and seal are estimated as rings with high curvature and modeled by means of theory of axisymmetric deformation of K.B. Bitseno. Problem is solved by using of system of equilibrium equations of flanges and equation of displacements’ compatibility of contact points of flanges and seal. Influence of the pipe on flange was taken into consideration by means of using of system of equations of displacements’ compatibility, applying to the profile of connection of flange and pipe. Displacements of pipe are estimated by means of moment theory of shells, displacements of flange are estimated by means of theory of axisymmetric deformation of K.B. Bitseno. As a result, universal tightness analysis method was obtained, which can be more useful in this case, in comparison with relations, obtained by means of theory of axisymmetric thin plates, applied to flanges, because a lot of flanges in vehicles can’t be modeled as axisymmetric thin plates because of their constructions.

The article presents a technique for developing predictive mathematical models and quality indicators individual forecasting of the spacecraft onboard radio-electronic devices by the results of autonomous tests. For forecasting, Extrapolation method, based on the quasi-deterministic models application, was selected. Transient resistance between electrical circuits of the microprocessor based temperature controller, which installed on the honeycomb panels in the spacecraft unpressurized compartments, was selected as the predictable parameter. The training experiment data, obtained after the second cycle of the testing impacts, served as initial data for the prediction.

The second cycle of tests included checking the device functioning in normal climatic conditions, a low pressure effect test, and a higher humidity effect test. Linear, parabolic, logarithmic, and exponential models were proposed. When these models developing the predictable parameter normalizing by the mathematical expectation was used. The forecast models selection was based on minimum average dispersion criteria, computed at the reference temporal points of tests and minimum values of the erroneous solutions probability and consumer’s risk. The study of the above said models was performed.

Probabilistic characteristics of their efficiency were obtained. It was established that the logarithmic model ensured minimum average dispersion values and the manufacturer’s risk, as well as acceptable erroneous solution probability value, i.e. consumer’s risk minimum value. The parabolic model allows obtaining zero value of the manufacturers risk and acceptable level of erroneous solutions probability.

Active information development all over the world has predetermined the nature and methods of warfare. If the firepower in the recent past was the basis of success in any armed conflict, as of today, the basis of success is the reduction of the combat control cycles, fr om the target to detection to the decision of its hitting. Modern technical equipment of all management levels, situational centers in particular, allows achieving this. The most problematic side herewith is provision of stable, high-speed radio communication with the units staying in the field conditions, seaborne and airborne, wh ere fiber optic communication lines laying out is impossible.

One of the ways of solving this problem consists in equipping the physical level of the radio lines in use by the technology involving the time-space signal processing. This will enhance the radio line capabilities, and, besides conventional resources managing, allow managing the number of the antennae elements in use on both receiving and transmitting sides.

Analysis of works devoted to the transmitted data security at the physical level of radio links with similar technology revealed negligible attention to the issue. In this regard, the issue of developing a methodology for controlling a multi-antenna radio line is relevant.

A technique for resources managing of a radio line that employs space-temporal signal processing for data transmission and provides operators with modern communication services in in places where the fiber-optic communication lines laying-out is complicated or impossible, has been developed. The proposed approach allows operators data transmission by the radio line more secured from radio monitoring and noise immune. The power consumption herewith of the subscriber terminals of the presented radio line is much less. This is being achieved by a lower signal emission power, compared to subscriber terminals of similar technology, radio lines, and linearly depends on the distance to the subscriber terminal of the subscriber.

Polar codes are the new generation of noise immune codes, employed in the standard of a new generation of mobile communication. Since these codes are not algebraic and, hence, do not have precisely specified characteristics due to the soft reception, all results shuld be obtained only through mathematical modelling, or by the test-bench testing. which allows giving the code effectiveness evaluation in certain conditions without mathematical calculations.

This article describes the work on the test bench development according to the principles of rapid prototyping for performing full-scale modeling of various types of signal-code structures based on the polar noise-immune codes being employed in the new generation communication systems. An overview of decoding techniques of polar codes being tested is presented, and mathematical foundation of these techniques is described to to a small extent.

Several development tools were used for the test bench development: Vivado, Matlab, and Verilog language. The hardware part of the test bench is the Diligent Zedboard PCB based on the Zinq-7000 of the Xilinx Company.

The article describes the key points of the test bench creation. It demonstrates the evaluation technique for the signal coding effectiveness at the white noise impact.

Data on the effectiveness and hardware costs for various types of decoders were obtained.

The polar codes in the control channel and LDPC codes in the data transmission channel were selected as basic polar codes for the 5G Standard. The polar codes, initially proposed by Erikan in 2009, are the first type of the structural channel codes, for which maximum throughput capacity of a binary symmetric channel without memory was proved, i.e. the case of reaching the Shennon boundary while employing the soft decoder of sequential exclusion. This decoder is of low hardware complexity compared to the brute force methods such as Chase's algorithms.

The basic idea behind the polar coding is to convert pairs of identical binary input channels (each bit of the input word is called a channel) into two sundry types of channels of different quality, when one is better and the other is worse than the original one. This will allow using nearly ideal channels for transmitting data to the recipient of the message, with this, presetting the bits (e.g., zero) in noisy channels so that decoding relies on values known to the receiver. Noisy and noiseless channels are called frozen and unfrozen, respectively. Only unfrozen channels are transmitting data. Selection of channels partition technique and the set of frozen channels fully determines the polar code.

There is a problem of optimal dynamic allocation of time-frequency resources to subscribers. It takes on a special character with their high mobility. The 5G next generation communication systems imply extremely high users’ mobility, and frequent switching between the base stations. For timely power adjustment, devices need to transmit information quickly to the base stations, and this, in turn, requires application of short code structures in service channels. These are exactly the polar codes, which demonstrate the best noise immunity at the same length compared to the other types of codes.

The same problem is the case when data transferring between drones or in self-organizing networks, and it can be solved using the specified class of codes.

Since the discovery of polar codes, several algorithms have been proposed for decoding polar codes. The two most popular of these algorithms are sequential exclusion decoding, which was suggested in the original article, and list decoding. The first method consists in data bits decoding one by one, and each decoded data bit together with previoiusly decoded bits is being used for the next data bit decoding by means of the received signal. This results in extremely long time for all bits decoding. Thus, the polar decoding seems unsuitable for the real time applications. Let us consider the main stpes of polar codes decoding.

A matrix receiver and receivers based on it are used to analyze signals over a wide instantaneous bandwidth. However, in a complex signal environment (CSE), the receiver input pulses are overlapped in time. This leads to errors in determining the time-frequency parameters of the pulses. Therefore, the article aims to improve the efficiency of the matrix receiver in the CSE conditions. For this, it is proposed to connect a broadband fiber-optic delay line to the receiver input. A circuit of the delay line with a delay duration tunable in accordance with the duration of the received pulse is considered. Using the example of the electronic environment generated by pulsed radars, an increase in the number of signals processed simultaneously without errors is shown. The increasing is at least 2 times when using one delay line and at least 3 times when using two delay lines. In practice, the signal environment is formed by radio emission sources with different duty cycles. So, the number of simultaneously processed signals can be orders of magnitude higher. An important for practice advantage of the considered technical solution is the possibility of modifying an already existing matrix receiver without significant design changes. Additionally, when increasing the number of simultaneously processed signals stored main advantage of the matrix receiver – high sensitivity as in narrowband scanning receiver with a broad instantaneous bandwidth of operating frequencies, like a multi-channel receiver. The presented approach to increasing the throughput due to one or several delay lines can also be used for other receivers used in broadband analysis tasks.

The main problem of article is accumulating and transmitting the solar energy to the receiving device with minimum power losses.

The purpose of this work is radio-navigational provision developing of the solar space power plant (SSPP).

This work relevance consists in increasing the number of the engaged renewables, including solar energy, and in the fact of the transmitting beam holding techniques deficiency.

The main shortcomings of the existing projects are excessive attention to technical issues to the detriment of energy transmission ensuring with the minimum losses.

The SSPP consists of the transmitting and receiving segments. The SSPP transmitting segment represents a one spacecraft (S) or the S-system. The receiving segment can be presented by a spacecraft in need of energy or the rectennaes, which represent nonlinear antennas for f the laser transmitted radiation transforming into electricity.

By the type of provision the SSPP are being divided as follows:

- Technical provision (the SSSP space segment parameters technical parameters);

- Radio-navigation provision (trajectory and spacecraft movement selection, on account of its structural specifics, coordinates determining of the points with rectennaes, segments synchronization).

The obtained results can be applied while spacecraft development and operation.

The author concludes that parameters determining of the SSPP radio-navigational provision allowed creating the energy transmitting modes.

The author’s unconditional credit consists in creating the invention named “Solar Space Power Plant”, and its technical and its radio-navigational provision.

Some algorithms of the SSPP parameters, and modes selection found application in the JSC “Russian Space Systems”.

The paper outlines the basic principles of building a telemetric system for monitoring the parameters of chemical current sources. A method of non-contact current measurement is proposed for ensure galvanic isolation, a distinctive feature of which is the use of three load resistors (shunts) in order to reduce the error in measuring currents of various magnitudes. The method allows to measure currents up to 120 A. Voltage measurement range: from 0 to +40 V, temperature: from 0 to +100 ^oC, capacities: from 0 to 511 A⸱h, insulation resistance: from 0 to 5 MOhm. The error in measuring current and capacity is not more than 5%, voltage and temperature is not more than 1%, insulation resistance is not more than 10%. The system operation algorithm is developed and implemented programmatically. The method for protecting telemetry information when monitoring the parameters of chemical current sources (CCS) is developed. Within the framework of the implementation of the strategy of import substitution in the economy of the Russian Federation, in the development of a telemetry system and control of parameters of chemical current sources, only domestic-made electronic components is used.

The research results can be used in the development of CCS condition monitoring devices used for power supply of autonomous devices for which there are no maintenance procedures during operation. The use of such monitoring tools will make it possible to analyze the operation of CCS in order to increase their reliability, determine ways to improve the equipment and establish the causes of its failures.

The toolkit of soft computing technologies is bas on fuzzy systems, probabilistic models, neural networks, genetic algorithms, etc., which have their own advantages and disadvantages. The application of this toolkit is considered for an aircraft gas turbine engine (GTE) of aircraft operating under conditions of uncertainty. The distribution of fuel between the manifolds is performed using a fuzzy regulator, the inputs of which are the pressure in the combustion chamber, temperature in the combustion chamber, fuel consumption in the diffusion manifold. Fuzzy controller output – calculation of the current value of the coefficient of the combustion chamber or the content of the oxidant in the combustion chamber. The calculation of the amount of harmful substances is carried out using a fuzzy regulator, the inputs of which are the temperature in the combustion chamber, the fuel consumption of the diffusion manifold, the consumption of the diffusion manifold in percent and the current value of the coefficient of the combustion chamber. Fuzzy regulator output – calculation of the current value of harmful substances in the combustion chamber for further calculation of the total emission of harmful substances for the takeoff and landing mode of the aircraft. Оn the basis of the total calculation of harmful substances, it is possible to draw a conclusion on the fulfillment of the emission requirements, which is 18 kg. The research results have confirmed the reduction of the influence of the uncertainty of the combustion process and the reduction of emissions in the airfield area.

The article presents geometry correction methods for the complex shape thin-walled composite structures. Topologically correct prepreg and shape-generating rigging models were developed. New prepreg theoretical models obtaining is being ensured by edges sectioning of the original parts by parallel or radial planes and creating surface by the intersection lines of the specified planes and associated facets. For parts creating, the surfaces were being truncated, thickened, and corresponding moulds were being built. The obtained parts and moulds were placed in assemblages.

Thermo-physical parameters of the composite prepreg were assigned to the models, and then the coupled problem of heat transfer and polymerization was being solved. Kinetic equation, which structure and parameters depend on the binder properties, is being employed to describe the dependence of the degree of polymerization on time and temperature. The type and parameters of the kinetic equation are determined from the results of materials analysis by the Differential Scanning Calorimetry (DSC) using various numerical methods for these parameters identification. For the specified technological system, the heat injection method, namely autoclave molding, was selected. The law of temperature variation was selected in the most commonly wide-spread stepwise form: heating – isothermal dwelling – heating – isothermal dwelling – cooling.

As the result, both temperature and time optimalи regimes of the two-stage autoclave molding cycle were selected, which ensure achieving the required degree of polymerization value of the carbon fiber reinforced polymer (CFRP) prepreg, and minimizing temperature differential and binder degree of polymerization in the polymerized volume. Temperature and time regimes of cure affect the structure and quality of the material.

The results of the molding process simulations demonstrated a significant dependence of both the average temperatures and the degree of prepreg polymerization, and their spread in the prepreg and mould, on the characteristics of the technological process and technological limitations.

The primary task while drones application consists in automatic landing ensuring. Most of the existing auto-landing solutions ensure accuracy up to three meters. For a more accurate landing, accurate distance measurements are required. Methods, ensuring accurate camera images, require accurate identification of the marker image points.

The marker image consists of two black rectangles situated in the center of each other at the angle of 90 degrees. The rectangles are applied on a white surface. Their detection is based on the objects’ contours detecting on a monochrome image with further test for compliance to marker geometric shape. The dependencies of distances between the points of the geometric shape equivalent to the claimed structure are presented.

This study considers the methods of adaptive binarization and the Canny boundary detector to perform camera image conversion to monochrome one. Detection of the outline of each object is being performed on the monochrome image. A convex hull of minimum area is being built for each outline in such a way that all the object points be inside. The search for the points corresponding to the marker’s apexes is being performed according to the presented dependence of distances on the convex hull. Checking of all points of the initial outline on the correspondence to the marker’s geometry shape by checking if each point lays on the corresponding side is being performed for the marker image identification.

Software was employed for conducting experimental study of the described algorithm. One of the programs employs binarization method, while Canny boundary detector is used in the other one. Photographs in 640 ´ 480, 800 ´ 600 and 1920 ´ 1080 resolution were used while conducting the study.

According to the results of the study, the highest detection accuracy and speed were displayed by an algorithm based on the use of the Canny boundary detector. False detection of marker images was not detected in any of the algorithms. The algorithm based on the adaptive binarization revealed the best performance in detecting marker images in «blurry» images. A conclusion was made by the results of the study that the developed algorithm allows detecting all points of the marker image of the vertical landing site designation without errors in false targets detecting.

The purpose of this article is to solve the problem of nonlinear correction device synthesis to prevent the pilot-induced oscillations in a compensatory tracking system. The oscillations discussed in this article introduce a negative phase shift into the system. Thus, a simple and effective solution to this problem consists in embedding a nonlinear correcting device into the control loop. The pilot actions in the compensatory tracking task are aimed at ensuring the cutoff frequency of the closed system, at which the control error will be minimal. The aircraft–pilot system optimization, based on the pilot’s ability to adjust his control performance parameters, is illustrated by the software developed with the MAtLAB/Simulink tools. The goal function is given numerically in the form of the cutoff frequency of the closed-loop pilot-aircraft system, which corresponds to finding maximum system performance. Frequency quality indexes, control accuracy, and pilot model parameters are numerically limited. The pilot-induced oscillations prevention is demonstrated by the example of an unmanned aerial vehicle control system. The human pilot is described by the McRuer “at the cutoff frequency” model. The values of a pilot model and nonlinear corrective device parameters were obtained. Frequency and transient responses of the corrected rate-limited actuator system are presented. Handling qualities of the optimal system were assessed using the bandwidth criterion and the index of the transient process performance. The proposed method can be employed in the flight control system design and flight performance assessment.

The terrestrial pole oscillations approximation refinement considered in the article allows approximation refining and propagating implementation of the small-parametric double-frequency model of the pole movement to the longer time intervals. Approximation accuracy improving while keeping the same number of the model parameters is of great significance. As far as it is impossible for the time being to predict the amplitudes relationship changing, as well as determine it in real time, the effect will always be detected behind the time, and it will fall on the approximation period for a considerable time, which will negatively affect prediction based on the basic model.

For the modified model, there is no need for the exact definition of the oscillation mode changing, and it is possible to be limited by the analysis of the resulting parameters of the pole modulation process without its subdivision into harmonics to solve the set problem. Establishing of the occurred changing of the average frequency over the harmonics modulation period with the delay to the extent, which is allowed by the ψ(t) function analysis is quite sufficient. For the modified model, there is no need for the exact definition of the oscillation mode changing, and it is possible to be limited by the analysis of the resulting parameters of the pole modulation process without its subdivision into harmonics to solve the set problem. Establishing of the occurred changing of the average frequency over the harmonics modulation period with the delay to the extent, which is allowed by the ψ(t) function analysis is quite sufficient.

A small displacement of polar tide and a phase shift of coefficients of the tesseral harmonic of geopotential relative to the Earth pole oscillations is the result of the Earth mantle viscosity. This displacement is quite small, and insignificant for practical tasks, such as satellite navigation. However, it presents considerable interest for studying the Earth pole since it determines the steady-state mode of Chandler wobbles, as well as amplitude of the necessary external disturbance for Chandler wobble excitation of the Earth pole.

The expressions of the tesseral harmonic coefficients variations, stipulated by the polar tide of the viscoelastic Earth model, were obtained in this work by methods of nonlinear mechanics with infinite number of degrees of freedom. A viscoelastic solid body, consisting of the axisymmetric hard core and viscoelastic axisymmetric (in non-deformed state) shell, being subjected to deformation according to the Kelvin-Voigt model, is being considered as a simplified model of Earth. There are no displacements on the inner boundary of the shell, and the outer boundary one is free. It is supposed that the deformation process of the Earth can be assumed as quasi-stationary.

These expressions are being compared with the ones recommended for accounting by the International Earth Rotation Service. The steady-state oscillations mode of the Earth pole are being studied based on the Euler-liouville dynamic equations, with account for variations in geopotential coefficients due to the tidal deformations of the Earth mantle. The article demonstrates that the polar tide model selection significantly affects the parameters of the steady-state oscillatory process of the Earth pole and the amplitude of the necessary disturbance with the chandler frequency to excite the observed chandler oscillation of the pole.

Polymer composite materials (PCM), having reinforcing glass fibers in their content and named glass-fiber-reinforced plastics (GFRP), are the most widespread composites applied in the industry. Due to their high strength and stiffness at low specific mass, the PCM more and more widely employed in aircraft building and space industry, superseding conventional metal alloys. One of the glass-reinforced plastics machining specifics compared to metal materials consists in different heat balance ratio, since up to 90% of heat released while cutting transfers into the tool, whereas up to 70% of heat goes to the chippings while cutting metall.

In the especially loaded structures under study from polymer composite, the reinforcing packs from titanium foil placed between the reinforcing glass-fiber tape layers are used.

This layered material of the “glass plastic - titanium” type is employed in manufacturing spars of the main and tail rotors of MI-28 and MI-35 helicopters. MS 6530 infrared pyrometer is used for the temperature control in the cutting zone. Maximum acceptable temperature of the machined sample, which does not cause PCM thermal defects formation, is determined by the differential scanning calorimetry (DSC). The DSC 200 F3 Maia equipment of the NETZSCH Company was employed. Finite element modelling was performed with COMSOL Multiphysics CAE system.

Pyrometric data on average temperature registering in the cutting area allowed performing finite element modeling of thermal processes while a multilayer fiberglass plastic drilling, as well as revealing the sources and direction of heat flows. Mathematical model realized with the COMSOL Multiphysics software allowed revealing space-time regularities of temperature fields’ proliferation and values of critical temperatures inside the composite.

Cutting temperature rise in the process of titanium foil layers cutting leads to the composite layers warming up, which degrades polymeric matrix properties and intensifying thermal defects formation. Finite element modelling allowed upgrading technology of fiberglass spars of the helicopter main and tail rotors machining.

It was noted that traditional calculation of complex mechanical devices at forced sinusoidal oscillations is, as a rule, a rather difficult task. Most often, calculators, designers and technologists are interested in steady-state oscillation modes. The goal of this study consists in significant calculations simplifying by replacing the need to solve differential equations with simpler algebraic methods. The author employs complex representation of harmonic values and the values associated with them. Such approach is widely used in theoretical electrical engineering. The main research methods within the framework of this work are methods of mathematical modeling and analysis. With this, a mathematical model, i.e. the object “equivalent”, reflecting its basic properties, namely the laws it obeys, bonds peculiar to its constituent parts, etc., is being studied, rather than the physical object itself. The article considers the scheme of parallel connection, in which the speeds of all mechanical system elements iare equal, while the forces are different, as well as the scheme of series connection, in the forces applied to the mechanical system elements are equal, while speeds differ. Application of symbolic (complex) description of mechanical systems at forced harmonic oscillations (in the steady-state mode) allowed abnegate the extremely cumbersome and laborious computational algorithm, associated with differential equations solving, and replace it by the much simpler algebraic operations. Due to this fact, the computation time was reduced manifold. Being an unnecessary component of the mechanical systems studying at harmonic impact, vector diagrams are of significant methodological meaning, since they demonstrate quantitative and phase relationships between the system parameters.

Elasticity modulus of a material, to be more exact Young’s modulus, significantly affects the figures while any operation of the material. Thus, the attention to this indicator long since cases interest. It should be noted that a significant u of research has been conducted in this area. There are indicators of the Young’s modulus of all structural materials, as well as its indicators at various operating conditions, including those at various temperatures, e.g. above and below zero Centigrade. The presented study was conducted with the purpose of solving the problem of buildings and structures strength and stability under the temperature effect. To do this, the review of the well-known data in the Young’s modulus area was performed, and revealing the most advantageous materials for implementation with the purpose of buildings and structures strength enhancing.

Not a single branch of human activities can do without employing the elements in the form of closed and open thin-walled cylindrical shells. These are, for example: hangars, pipelines, missiles, submarines, boats, aircraft and other elements. There are quite a few elements in the form of open and closed shells in the form of machine parts and mechanisms. This form of structures has become widespread due to their higher efficiency compared to the others such as, rectangular structures and parts, since less material is spent on their manufacturing. Besides, it is is easier to manufacture such elements, for example, by rolling. Often these parts, such as aircraft engine nozzles, or aircraft skin, are affected thermally. This phenomenon creates many difficulties, since the exposure temperatures are often above 1000°C. The Young’s modulus herewith is being significantly reduced, the same relates to the strength as well.

There are a lot of researches related to soft landing systems with air dampers (System). Today it is a trend to use numerical simulation with LS-DYNA Airbag module or fluid-structure interaction methods. But almost all of the researches are related to single landing process simulation. The article describes the developed dependability model of landing process for soft landing systems with air dampers.

This dependability model is based on physical model of landing process for soft landing systems with air dampers; it consists of mathematical model of fabric air dampers comes from and equations of rigid body motion – from. This physical model allows to get gradient landing area and position of the System in 3D space as initial conditions.

Monte Carlo method is used to realize mathematical experiments with random values of applied load factors. These factors are: landing area gradient angle, vertical velocity and mass of the system, horizontal velocity vector. Reliability function is used as a dependability measure. The following failure modes are considered: excessive acceleration, temp acceleration growing, final vertical velocity, system overturn of its excessive vertical jump, air damper failure.

Several thousand cases of mathematical landings with random initial conditions are considered to get statisitcs of their failures. It allows to get the reliability function of the whole landing process.

The case of air dampers efficiency improvement with the use of the developed model is considered. The idea is to use reliability function of the landing process as an optimization criteria for air damper structure – number of release valves and their combination in the air damper chambers are considered as target function.

Presented results show that the use of the developed model may be useful in design study of soft landing systems with fabric air dampers.

The presented work studied thoroughly the problem of radial clearance impact on a number of roller bearing loading parameters. It is indicated herewith that the source of the clearance is of no importance. It forms as the result of wearing, or it is a preliminary, i.e. deliberate clearance from technical considerations. The problem was solved analytically, based on the proposed method, employing herewith the author’s technique for determining the pliancy of a “bearing” with a single rolling body.

Two characteristic schemes for a bearing loading with a radial force were considered. The first scheme describes an option, in which the radial force passes through the center of the maximally loaded roller, and the second one touches upon the case when the radial force passes between such rollers.

The problem has been solved with both absence of a radial clearance and its presence. The following parameters were determined: the bearing stiffness (pliancy); the number of load-bearing rollers; the maximum load on the roller, as well as the functions of these parameters on the radial clearance.

The main results of the work are as follows:

– bearing stiffness in the absence of radial clearance in both loading schemes is almost constant;

– with the clearance increase, the stiffness in the second loading scheme decreases more rapidly than in the first scheme, which can cause fluctuations in the rotor systems.

The obtained results can be employed while solving a number of problems, for example, when designing and studying the dynamics of the aircraft turbine mechanisms, or when evaluating the wear and performance of rolling bearings, as well as their durability.

Experimental-theoretical and experimental studies of the laser-location characteristics (LLC) of aerial objects are up-to-date scientific and practical tasks while creating promising and modernizing conventional active optoelectronic information devices, as well as in solving the problem of optical visibility reducing of objects.

Direct measurements of the objects LLC herewith are important for of experimental and theoretical methods, as well as mathematical models verification, and for information capabilities of laser devices evaluation. Of special importance is the study of objects’ reflection characteristics in the presence of various factors in the structure, associated with the objects application conditions (physical phenomena concomitant with the flight, the adverse effects of environment, physical fields and etc.) in the presence of the objects onboard optical-electronic devices (OED) and a translucent space-scattering of fragments (not amenable to the rigorous mathematical modeling).

However, when performing semi-natural and full-scale measurements on open routes there are difficulties associated with calibration (standardization) of locational signals reflected from remote targets, with the technical difficulty of creating laser measurement channels (LMC) with rather large linear dynamic range, and with measurement estimating inaccuracy.

The authors consider the methodological apparatus and devices solving these problems. They provide full-scale measurements of the air objects LLC in flight employing a near-infrared (IR) laser measuring complex (LMC) as a part of a multi-channel optical measuring system (MCOMS).

As the result, the authors developed and tested a method that implements of measuring and signals calibrating processes with a large dynamic range on open routes. Techniques for aerial objects’ laser-location characteristics measuring on open routes using LMC as part of the MCOMS have been developed and tested. Measurements of the effective scattering area (ESA) of four targets were performed with the LMC as part of the MCOMS. Dynamic measuring range of the EAD data is no less than 0.01–30 m². The LMC as part of the MCOMS is capable of measuring the targets laser-location characteristics with meteorological visibility range of 20 km at the distances of 0.2–20 km. Under favorable weather conditions, the relative inaccuracy of the ESR of aerial objects measurements was 15–30%, depending on the target type. The results of measurements obtained using the LMC as part of the MCOMS meet the requirements to this class of measurement systems.

Transport SDNs represent the imposition of actively developing concept of network resources centralized management on transport reconfigurable packet networks, including optical ones. The main parameters and principles of the PCS herewith are not only preserved, but also extended to the lower levels, including the level of physical resources management.

The basic stage ensuring the possibility for developing solutions to manage the resources of the communication network, along with the network protocols realizing their operation, consists in developing

– Mathematical base of the communication network under study;

– Processes of resources allocation;

– computation of the necessary paths, including application of the existing developments in the field of standard telecommunications networks, software-defined networks, communication networks of unmanned aerial vehicles or self-organizing communication networks.

Following the principles of the SDN concept, the resources of the optical network from the viewpoint of the higher layer (IP) will be considered as a set of virtual transmission paths with a certain bandwidth, and all the detailed information on the structure will be available herewith only to the lower optical layer. Such approach will allow outlining the two subtasks within the framework of the resources managing task of a packet optical network: the optical network resources managing to create a virtual IP topology, and managing the pool of virtual channel resources at the IP level.

The requirement for dynamic and optimal control of transport resources of a packet optical network, defined by the PCN concept, presupposes a rigorous mathematical formalization and optimization statement of this problem. The attention is worth paying to the network models represented in the form of differential-difference equations of state. Such models are successfully employed for solving routing problems at the IP-network level, regarding it as the problem of channel and buffer resources allocation between incoming IP-packet flows.

With a view to the developing trend of energy saving, minimum of electric energy consumed by the network was selected as the optical networks resources control optimality criterion.

Electric energy consumed by the network directly relates to the number of devices involved in it, which in turn is also determined by the choice of the method of overlaying the packet network atop the optical one. Among all possible options, from the viewpoint of economy, attention should be paid to the «transparent» architecture of the IP-ower-WDM, in which establishing of light paths exclusively at the optical level is possible without transit routers engaging.

The of the upper control level task consists in resources distribution of the available virtual topology between the incoming IP-flows, which e initial data is routing variables: the known structures of the virtual topology of the IP-network, and the volumes of the transmitted traffic. Besides, it is necessary to form the requirements for the virtual topology of the IP-level, namely, for the number of light paths between pairs of routers and their bandwidth.

It is possible to avoid additional complication by applying as the initial data the packet flow rate from the i-th to the j-th router with the given requirements for the average IP packet length and bandwidth, rather than the transmitted traffic volumes estimation.

The presented algorithm allows describing the process of managing the resources of the transport PMS by an aggregate of computational procedures. All levels of management herewith are linked by a single target function, namely by the minimum of total energy consumption, and their solutions are coordinated with each other.

Digital technologies development at present allows improving radar systems, which opens possibility for application of complex modern methods of digital signal processing. It allows, in the first place, achieving the best results in radar systems operation, improving therewith weight and size characteristics of the systems under development.

Thus, application of digital phased antennae arrays for direction finding problems solving allows employing mathematical tools for angular characteristics estimations of the object under study.

The article deals with a monopulse direction finder with the sum-difference direction-finding method, accomplish based on the sixteen-element flat digital phased antennae array. The idea of the sum-difference monopulse method consists in generating both sum and difference signals to compare their amplitudes and angular coordinates estimation of the object. In addition, there is a necessity in direction-finding characteristic estimation of the antennae system to realize the said method.

Digital phased antenna array allows both sum and difference signals generation at the expense of correctly selected weight factors, avoiding herewith the waveguide converters application. The weight factors represent complex numbers able to change amplitude-phase characteristics of the signals.

To gain the possibility to estimate the azimuth and elevation angle of the place, the elements of the flat antennae array should be represented in the form of rows and columns, which will be nothing else but the linear antennae arrays. The two linear antennae arrays will form two pairs of both sum and difference signals for the azimuthal plane and elevation plane.

The result of the works was the monopulse direction finder simulation with the above-described digital antenna array, during which the monopulse response curve and radiation pattern were estimated. The sum and difference signals were generated, and the corresponding weight coefficients were obtained.

The dependence of the root-mean-square deviation of angular coordinates on the signal-to-noise ratio was plotted for more illustrative estimation of the direction finder with digital sum and difference signals generation.

GPS is the most widespread and advanced global navigation satellite system (GNSS). However, the GPS signals are the subject to a large number of different types of interference, both natural (the GPS signal can be weakened by trees, buildings, and antenna orientation), and imitation (intentional) interference. Intentional interference, also called spoofing, allows entering false GPS information into the navigation system.

Powerful jammers are easy to detect and neutralize due to the high intensity of radiation. Less powerful sources of interference are harder to find. It is important to deal with them by employing improved anti-interference technologies in receivers, improving the antenna, or integrating with an inertial navigation system or other devices insensitive to interference.

Inertial navigation systems (INS) are not affected by artificial interference. The main sources of errors in the INS are the errors in inertial sensors (gyroscopes and accelerometers), incorrect initialization of the navigation system, and imperfection of the gravitational model used for calculations.

The presented work is devoted to the problem of monitoring and violations localization reliability improving, namely, to the problem of detecting and parrying simulated interference in inertial-satellite navigation systems (ISNS).

The proposed solutions to the problem are based on the diagnostic ISNS models decomposition, and application of combined statistical criteria. The BINS error vector estimation and the reasons for the difficulties of satellite support for BINS are being considered. The technology of sequential processing of observations allows forming diagnostic parameters by the sample of residuals on a sliding time interval. The article presents and analyzes the results of field experiments with a typical BINS. Conclusions are drawn on the need for adaptive-robust processing of inertial-satellite observations.

The scientific novelty of the proposed work is associated with the addition of procedures for detecting and parrying anomalous inertial-satellite observations based on the combined statistical criterion x²/ϑ² , with account for the fact that anomalous signals associated with the SNS are usually pulsed. Such procedures can be performed in both real time and according to the data from the on-board registration devices.

The work “Optimization of non-coplanar low-thrust flights by the linearization method” by P.V. Kazmerchuk and L.V. Vernigorа solved the problem of non-coplanar flight from a high elliptical orbit to a geostationary orbit (GSO) within the minimum time (the task of optimal response) employing modified linearization method. In this task, the thrust acts continuously, with a constant level, and control is performed by the thrust vector turn. Another important class of optimization problems of transferring the spacecraft (SC) with electric propulsion power plant to the GSO are the problems of the final mass maximization under the limitations on the transfer time (the problem with the fixed time). The flight time increase relative to the optimal response problem allows reducing fuel consumption and increase the final mass by disabling the propulsion system at the trajectory legs with less efficient control. The article considers the non-adjustable EPPs, which thrust can be either zero, or maximum.

Maximum principle is widely used to solve the tasks of the EPP SC flight optimization. Application of the Maximum principle allows reducing the original optimization task to solving a boundary value problem. When solving such boundary value problems, researchers face convergence problems, the initial approximation selection, stipulated by the locality of the Maximum principle, and the existence and uniqueness of solutions to the systems of nonlinear equations. To overcome the above said difficulties, the authors use various approaches, such as the continuation method, sequential refinement of motion models, combinations of numerical methods, and others. A specific feature of the fixed time task consists in the presence of a large number of local extrema, which further complicates the solution of the boundary value problem of the Maximum principle. This happens due to the fact that partial derivatives matrix of the discrepancy of a boundary value problem by its unknown parameters, one way or another used in all indirect methods, degenerates at the boundaries of the domains of attraction of local extrema.

Being a direct method operating in the controls space, the MLM belongs to the class of gradient methods (first order methods), which stipulates its large convergence domain. It turned out to be possible to use trivial initial approximations in the task of optimal response that allows expect its successful application for the tasks with a fixed time as well.

MLM also belongs to the class of local methods, but it is desirable to have an algorithm that allows getting solutions close to global ones. Looking ahead, we note that it was possible to parameterize the task with only two quantities: the initial value of the true longitude of the flight and the initial value of the EPS thrust. The resulting two-parameter family can be easily studied by direct enumeration to find the global minimum without the need to invoke global optimization methods.

The main problem when trying to use MLM for solving a task with a fixed time consists in determining the number of thrust switching points and their location on the trajectory, since there is no explicit information about the switching function. The solution algorithm should automatically determine the optimal values of these parameters along with the thrust vector direction optimizing at the active legs of trajectory. The article proposes an algorithm that allows regularly solving the tasks of EPP SC flight to the GSO with a fixed time.

The article considers methodological issues arranging external trajectory measurements of the shipborne aviation systems’ parameters while the shipborne aerial vehicles testing under the open sea conditions and absence of the lack of the route measuring test-ground within the water area for the State testing of aircraft carrier.

The author suggested a differential measuring method based on navigation parameters correction of the shipborne aerial vehicles relative to the aircraft carrier, and transmitting the set of corrections to measurements of all navigation satellites to the definable points. These corrections can be used at the satellite observations at the definable points with measuring at the coastal geodetic station with known coordinates of pseudo-range to all “visible” satellites and computing its measured coordinates, and then the measured ranges as well (according to the measured coordinates of both station and satellites). Then further processing information on computing the root-mean-square error of lateral and vertical deflections of the shipborne aerial vehicle while takeoff and landing on the ship, and at combat control from an aircraft carrier ship and / or from a shipborne radar patrol and guidance aircraft is proposed is being performed.

The accompanying monitoring of the achieved values of the aircraft carrier efficiency levels is being performed, and the accuracy characteristics of the shipborne aircraft is being obtained to assess the feasibility of the requirements for the carried aviation systems and for the aircraft carrier ship as a whole.

It is necessary to combine theoretical and practical drill in the process of specialists training. However, the balance between these two types of training may differ drastically for various sphere of activities. The material of the article allows determine the rational learning time with known and unknown level of losses associated with operator errors. The proposed techniques allow predicting with fairly high degree of accuracy the required number of practical classes in special disciplines for this of that training period to increase the specialists’ level of training.

The proposed methods are based on the fundamental concepts and relationships of probability theory, utility theory, and fuzzy logic. The interval measure obtaining method is based on the concepts of a hypothetical game (pseudo-game). The interval boundary values usefulness is being coordinated based on the expert survey.

These methods allow determining the rational period of the training course studying by the student from the initial time instant, which ensures an optimal combination of the loss function indicators and costs in the sense of the minimax criterion. The obtained results can be used while the educational process planning to ensure the necessary level of students’ preparedness and minimize the learning process costs.

A rational combination of theoretical and practical stages of training allows prepare a specialist with professional knowledge, skills and abilities at a level guaranteeing the functional activities tasks fulfilling in any conditions of situation. The proposed scientific and methodological approach is advisable to be implemented while organizing the specialists training process when the necessary level of knowledge and skills is known for the correct functional duties performing with the required probability.

The proposed methods allow determining the specialists training period, which minimizes training the costs and the necessary level of a specialist training, which is defined as the probability of timely and error-free solution of problems related to his future professional activity. The technique allows accounting for specifics of the trainees’ further practical work, and defining criteria of the professional training levels and resource constraints on performing sales professionals training.

Data encryption is not always possible today. In some situations attacker does not actually need to decode information – he just can organize DDOS-attack and turn attacked system off for a some (maybe long) time. If information system uses encryption protocols, it’s always a good hint for security analyst – if data is encrypted, that means than there is something important.

There are some ways to protect data and whole system – by alternative methods of secure data processing, digital steganography for example. A new method is protocol masking. In this way we encode some protocol so it looks like another. So attacker does not actually know what kind of information is transferred through channel that he is listening.

While encoding one protocol as another we must remember to keep it’s basic characteristic similar to referenced protocol. If we don’t, attacker can easily not only detect fact of masking, but also find out which protocol we used originally. So we need some metrics to describe measure of information “protectiveness”. These metrics can be, for example, statistical characteristics of protocol. If we keep them the same, the fact of protocol change will not be discovered by security analyst.

This article describes offered model of whole system. Also it proposes a models of attacker and legal user. Some strong mathematical measures of encoding efficiency are then introduced. They are based on statistical characteristics (commands or their parameters probability and other). Finally, some methods of XML-based protocols obfuscation are described and analyzed at the point of view of proposed characteristics.

A problem of data impersonalizing occupies special place in automated information systems while data processing. Such methods and algorithms are employed to improve the system security and reduce material costs for information security tools purchasing. One of the tasks consists in developing specialized units that will allow increasing the speed of data conversion during impersonalizing. Such units can be employed not only in large data processing centers, but also in information systems with a small number of personal data subjects, but demanding data processing speed. This allows performance improvement, as well operating costs and product weight reduction. The purpose of this work consist in the speed increase of the unit for generating a unique sequence for personal data impersonalizing by parallel computing and FPGA based implementation. The problem solution of increasing the speed of forming a unique sequence for impersonalizing personal data is achieved by implementing a method and algorithm for data impersonalizing that allows their FPGA based implementation employing parallel computing. The developed unit novelty lies in the fact that a method for introducing identifiers using hashing critical data and a private key was proposed. This allows increasing the of data privacy level, bating requirements for the security level of the information system, and increasing the of data processing speed by convolving critical data into a hash identifier by parallel computing employing the developed specialized device. The results obtained consist in the development of a unit for generating a unique sequence used for personal data impersonalizing. This unit implements the proposed method. The experiments confirming the proposed mathematical model adequacy in comparison with the software implementation were conducted. The proposed device allowed increasing the speed of hash identifiers computing by more than a thousand times, with power consumption decrease by 11.7 times. The results of the experiment allow recommending the proposed unit for implementation in automated information systems for personal data processing at the design stage or optimization of existing systems. It will reduce the information protecting system cost. The authors propose the presented solution implementation in the form of a FPGA based unit, which will allow increasing speed and reducing operation costs.

The need to prompt response from the computing system side emerges in the state-of-the-art multiprocessor critical systems. The systems, which failures lead to the losses (economic, physical, human etc.) are defined as critical systems. In the event of failure, such systems are the subject to high requirements for operability, reliability, safety, security, etc. All costs herewith associated with introduction of changes to such system or its replacing (direct, indirect, etc.) are more important that the losses occurred in the case of the multiprocessor system failure itself. It is obvious that minimization of both time and hardware costs, necessary for the multiprocessor system response to the hazardous situation is of most importance.

The failures occurring in the internal processor modules, such as aircraft cockpits, surveillance systems, targeting, atomic systems etc., can be assigned to the critical situations. In case of the multiprocessor system failure herewith, its performance and response decrease, which is unacceptable in critical systems. One of the options for this issue solving may be processor loading planning in multiprocessor systems. In this case, the multiple loading of several processors by the same task (routine, subroutine, algorithm, file, etc.) can be avoided, and, with this, the queue of the incoming tasks can be planned in such a fashion that they are being fed simultaneously. This allows reduce unplanned operation downtime and, at the same, time increase its availability factor along with increased performance.

The presented work is devoted to critical multiprocessor systems, to which high availability objects, which operability is critical for any kind of activity, can be assigned. In such cases, a person, country, enterprise, organization, etc. is distinguished. A failure in this case leads to in the system response time decrease and a further decrease in its performance, and, thus, the availability. In this case, the application of the software for solving this issue is unacceptable, which means that it is necessary to use specialized hardware load scheduling tools.

Computer engineering gains more and more importance in the modern world due to the 3D solid-state modelling, analysis and simulation integration. In this aggregate of methods and means for the engineering problems solving, the groundbreaking role is being assigned to creation and application of the so-called digital twins, which are based on digital representation of separate real components, products, technologies and processes, allowing performing a wide specter of analysis and virtual simulations. The object location herewith does not matter.

Practical application training of the CAM systems is a weak side of the DSTU (Don State Technical University) compared to the theoretical preparation.

This article demonstrates the application example of the NX computer-aided manufacturing system by Siemens PLM Software in the engineering personnel training for an aircraft-building enterprise.

In the framework of their practical training, the students collected information that has become the initial data for the machining process simulation of the especially critical helicopter parts employing the NX CAM. Managing routines for the five-axis HURON K2X8 FIVE machining center were developed applying the «Machining» module, analysis of various cutting strategies was performed, visualization of the material removal was carried out, and the machine-tool operation simulation was demonstrated

Verification of the developed managing routines allowed revealing overcuts and and rough surfaces on the completed part, collisions of the machining center actuating devices with rigging and workpiece, tools contact during rapid feed, excessive and insufficient machining allowances. The revealed defects were corrected prior to program run on a CNC machine.

The demand for graduates of the engineering specialties are largely determined by the knowledge of modern CAD/CAM system at the technological preparation of production and the ability to employ them. The increased interest of today’s young people in computer technologies raises the interest of the students in the study and improves apprehension of the educational material. However, introduction of computer engineering methods into educational process faces certain difficulties as well. The main one is the insufficiently equipped laboratories of the University. Very often, the such programs implementation is being supported exclusively by the enthusiasm of individual tutors and department staff members.

This publication was prepared based on the cooperation between the department of Aircraft engineering of Don State Technical University and the division of Computer Aided Manufacturing of “Rostvertol Helicopters Co.” within the framework of “The new personnel of the military-industrial complex” project.

The article recounts the results of studying the impact of the alphabet tokens degree of occurrence in the entity objects of the subject domain on the identification of entities based on data frequency analysis with various strategies for tokens exclusion.

The following dependences are shown:

– Dependence of autocorrelation on minimum allowable number of characters in tokens for various samplings (as a percentage of the initial data);

– Dependence of covering the entity objects alphabet of the subject domain on limitation on the number of characters in the alphabet tokens;

– Dependence of the number of correctly recognized entities of the subject domain for various samplings volumes on the limitation of the number of characters in lexemes of the alphabet of the subject domain entity’s frequency identification at unfavorable strategy for the subject domain entity objects exclusion;

– Dependence of the number of correctly recognized subject domain entities for various samplings sizes on the limitation on the number of characters in the lexemes of the alphabet of the frequency identification of the subject domain entity at a favorable strategy of excluding objects of the subject domain entities.

The impact of the degree of occurrence of alphabet lexemes in the entity objects of the subject domain and the strategy of excluding alphabet lexemes on the entities identification based on data frequency analysis was established.

The above said studies allow reducing the number of errors in identifying domain entities based on the data frequency analysis while ensuring the interoperability of the applied software.

The object of the study is the system for parameters determining of aerial target motion under conditions of covert surveillance.

The subject of the study is a technique for accuracy evaluation of indirect target motion characterization system.

The objective of the study consists in accuracy improving of aerial vehicle motion characterization based on recommendations elaboration for creating conditions to perform measuring process and measurement data processing.

In the process of this work execution analysis of existing approaches to target motion characterization was performed. It revealed that advantage of pseudo-triangulation technique lies in nonlinear equations reduction to algebraic system of equations. However, under certain conditions it does not ensure target motion parameters determining. The approach eliminating this drawback through introduction of the closing-in with aerial target law is proposed.

This technique ensures aerial target motion simulation, namely computing its coordinates arrays; measuring process simulation, i.e. computation of arrays of precise and containing accidental errors of locating angles values. Besides, this technique ensures preliminary measurement smoothing and angular velocity evaluation of aerial target sightline. It allows:

- Define approximately potential value range for approximation dependence coefficients;

- Perform parameter identification of aerial target motion at various approximation dependence coefficient values within the established range;

- Select approximation dependence coefficient estimation value by minimum variance of inadequacy in calculated values of aerial target horizontal range;

- Characterize aerial target range motion with selected approximation dependence coefficient; measurement error assessment by spread in calculated values at different number of bearing measurements;

- Computation cycle repetition with increase in number of measurements in the case of exceeding spread in range estimations of its preset error value.

While computation performing the initial data is aerial target motion trajectory characteristics; the carrier acceleration value; the number of grouped measurements; total limit number of measurements, root-mean-square deviation in aerial target bearing measurement results.

To check capabilities of the said algorithm a series of numerical experiments was performed.

It was assumed while testing that the time interval between measurements wass , and . Results smoothing revealed the following:

- with rational choice of approximation coefficient value (in accordance with the specified procedure), discrepancy between approximation and real dependences was insignificant;

- approximation errors were by an order lower than the measurement errors.

It should be noted that the low error level while smoothing aws achieved at essential variances of approximation dependence coefficients caused by differences in measurement process implementations.

With the intent of justifiability check of the supposition on keeping the closing-in velocity constant, preliminary studies were being performed, during which parameters of the carrier flight were being determined by its flight simulation at the afterburning turning-on. This data shows that owing to the carrier considerable thrust-to-weight ratio, constant acceleration maintaining of a ≈ 4–8 m/s² within quite a prolonged period of time is possible.

The technique testing results revealed that with the measurements number increase the range determining error fell and achieved the value of about 10% with the initial structure of the algorithm, and less than 10% at extra smoothing of the stored total data per each second of the measurement process.

The strongest impact on the results of the range determining is imposed by the carrier acceleration value and the interval between measurements.

The results of refinement and studies of еру fundamental algorithm for estimation of aerial moving target range are indicative of its high sensitivity to accuracy and amount of information being used. The relatively small size of the synthesized range linear interval (“range-finding baseline”) should be considered as physical reason of this effect.

The aerial target range and velocity estimation accuracy increases with adding to the number of notches. However, this technique requires significant time increase up to 20-25 sec per problem solution operation. Nevertheless, at present the passive sensors appeared, which are capable of measuring angular coordinates of aerial target with the time interval of t ≈ 1 – 10–²...0.5 – 10–² sec.

With account for this, it is possible to perform multiple measurements of the desired data (angles) using “cluster” of indications when measuring angles of discrete angles.

Based on these results recommendations for creating conditions to perform measurement process and measured data processing were worked out. The proposed technique was employed for developing the method for air ordnance delivery in the environment of covert target observation.

The article presents the dynamic model of the fixed ground targets hitting process by the by group of small-class attack unmanned aerial vehicles. Considering the said process is probabilistic both in states and in time, the dynamic model is based on the Markov’s random processes theory with continuous time and discrete state, and on the theoretic basis of the simplest flows.

A scenario for groups of small-class unmanned aerial vehicles application for hitting temporarily fixed ground targets, revealing the order of actions at each stage of the process under study, was employed as initial data for determining states of the dynamic model.

New dynamic model differs from the known ones by inclusion of the additional blocks. The first one realizes probabilistic parameters computing of wind disturbances due to the special maneuver, and the second computes the cycles of the unmanned aerial vehicles groups’ flights from the U-turn point to the target to the ammunition discharge point with account for its hitting probability with acceptable direction deviation.

Studying the model allows determine conflicting variable parameters of small-class unmanned aerial vehicles’ combat maneuvering and calculate their rational values. On the one hand, these parameters affect the discharge accuracy and, consequently, rational ammunition consumption. On the other hand, extra maneuvering may significantly increase the hitting time, which is utterly critical for the temporary fixed targets, which can be removed out of strike.

A statistical model was being studied initially in this work to solve the set problem on hitting temporary fixed targets in a specified time. Further, having solved numerically the system of linear inhomogeneous differential equations with constant coefficients, developed for the dynamic model, the authors obtained time dependencies for various states of the process under study.

The conclusion to the article presents the result of the impact estimation of the sought probabilistic parameters of a group of strike unmanned aerial vehicles combat maneuvering on the probability of the task accomplishment at various time instants. The most significant probabilistic parameter, which increasing requires extra operations while actions planning, was defined.

The most significant probabilistic parameter, which is to be additionally increased during the stage of operation planning, is detected.

In the aviation industry, thermal insulation mineral, fiberglass and polymer materials are employed for operation in extremely low temperature conditions. In certain cases, the structures, which perform the function of absolute isolation of gases from the external thermal impacts, are being created to obtain thermal isolation. If thermal isolation materials are being considered, the thermal isolation life span of such materials does not always satisfy the needs for temperature retention, and being regarded as a secondary subject operating in temperature regimes. The presented work solves two dimensional thermal conductivity problem of the element serving as a thermal insulator. It includes as well the study of heat transfer at the interaction of various materials between each other and their structural distribution in the element.

To solve the set problem, let us consider a conventionally selected segment (element) of the heat-insulating sheathing. The requirement consists in ensuring thermal isolation of the specified element in conditions of low temperatures by means of various materials and their structural distribution in the element. This problem solution is being performed by creating mathematical model and solving it numerically based on an implicit difference scheme. Computations of the mathematical model include the thermal conductivity problems of homogeneous body, a heterogeneous body with the structure of materials stratification, and the structure of the chess distribution of materials.

The results of the study show that the interaction of different materials in the element and the structural distribution of materials in the element play an important role in increasing thermal insulation properties. Interaction in heterogeneous bodies of various heat-insulating materials with each other has a low thermal insulation index, in contrast to the interaction of a heat-insulating material with the other, having the opposite thermal conductivity characteristics. An increase in thermal insulation in such body is accompanied by thermal insulation of a material with high thermal conductivity properties. A mutual substitution, “balancing” of the processes of thermal conductivity of materials with each other occurs.

The presented work demonstrates specifics of thin-walled structures mechanics at strong nonlinearity problems solution computational algorithms realization by an example of soft shell of revolution static inflation at the large deformations problem. The problem solution algorithm under consideration realizes the method of differentiation by parameter. The feature of the algorithm consists in using specific method of nonlinear Cauchy problem solving with right-hand side given on discrete mesh of variable step.

Studying the properties of the system of equations under consideration revealed the necessity for solution regularization preceding of the suggested algorithm realization. Thus, the initial stage of solution construction uses the well-posed system of equations of technical theory of soft shells, as its solution is close to the solution of the problem being considered, but without having a poor stipulation.

Analysis of various parameters of computational algorithm or properties of soft shells theory equations impact on calculation results cannot be performed in analytical form. Thus, for these issues studying numerical experiments concerning solution of hemisphere bloating problem with different conditions of the edge fixation are used. Physical properties of shell material are supposed to be described by Treloar relations. For the obtained results illustration only loading diagrams as pressure-deflection curves are used. The effect of the following parameters of the computational algorithm on the computational results was studied. These were the preliminary internal pressure magnitude, solution continuation parameter selection; the magnitude of initial and maximum allowable solution continuation parameter step; the number of parameter steps on which solution regularization was used; the ways of stress state calculation at developing the resolving system of equations.

It is worth mentioning that in the presented work, apparently for the first time, the author managed to obtain the value of deflection of the soft hemispherical shell, being inflated, w₀=35R (where R is the radius of the non-deformed shell) only in 60 solution continuation parameter steps. The maximum value of deflection herewith obtained prior to the loss in calculation stability reaches 10⁸R. In this case the solution error is equal to 5%, and the number of solution continuation parameter steps is 280.

A significant, difficult-to-predict dependence of computational results on the algorithm parameters mentioned above was revealed, up to obtaining wrong results. Thus, setting a miniscule value of the preliminary pressure may lead to the convergence problem of the solution correction right at the first step. An excessively large value of the step by the parameter leads to significant distortion of the results, while a too small one leads to the computation stability loss. Conclusions on the effect of basic stress state computing method and a number of steps by the parameter, at which the system of equations regularization is performed, may appear different for various boundary conditions at sphere equator and various methods of the solution continuation parameter selection.

Thus, judging by the performed studies, when solving problems of the stress-strain state, being followed by large displacements and deformations analysis, applicability checking of any `previously developed recommendations concerning calculations in each concrete case is necessary. Realization of the selected solution algorithm or parameters assignment should not be restricted by only one method. Studying the problem solution behavior in a wide range of possible changes of the algorithm parameters is necessary; and in the absence of analytical solution, the repetitiveness of the results at various values of the assigned parameters can be the indicator of the obtained results certainty. Probably, such numerical experiments may and should be performed by the technique similar to the methods of experimental mechanics, and properties determining of this or that algorithm in application to the solution of this or that type of problems is similar to determining mechanical properties of materials at various types of the stress-strain state.

When designing test benches for of the combustion chamber sections testing performing it is necessary to perform gas dynamic calculation to determine parameters and characteristics such as the rate of fuel gas and air, the air velocity at the section inlet, and operational time of the experimental installation when employing a limited number of liquefied gas cylinders. It is necessary as well to know the range of a gas rate measurement and pressure on the measuring area of the gas main of the experimental installation to sel ect appropriate measuring devices

The combustion chamber section represents a 1/14 part of a full sized combustion chamber and consists of an outer casing, inner casing, a flame tube with a frontend device, in which the nozzles are installed. The fire tube is bounded by side cooling walls on both sides. Nine nozzles are being installed in the combustion chamber section.

The test bench includes a source of compressed air and a central main line leading to the section. Gas is being fed to the section collector through the fuel-feeding system and then to the flame tube head, which distributes it among the nozzles.

The following was determined fr om the computation results:

1. The operation time of the experimental installation when employing one fifty-liters cylinder of the compressed gas.

2. The excess-air factor was revealed, at which the temperature of hot gases in the combustion chamber section, operating on propane, would correspond to the T₄^* = 1110 K.

3. The air rate value necessary for obtaining the air velocity at the section inlet, which is equal to the air velocity at the combustion chamber inlet under the engine conditions.

4. A value of the gas rate to equip the gas main with the appropriate flow-metering device.

This article presents the results of numerical simulations and experiments on studying mechanisms of heat and mass transfer in magnetic fluids. These substances belong to the class of nanofluids and are being employed as a heat carrier in cooling systems. The inter-particle interactions effect on diffusion processes in magnetic fluid was studied. Numerical experiment has demonstrated the possibility of convective cooling in the absence of gravitational field.

The flows’ modes and structures in a magnetic fluid in a vertical thin layer being heated from the one wide side, as well as a spherical cavity, being heated from below, were studied. The interaction of thermomagnetic and thermogravitational convective flows in a vertical magnetic fluid layer placed in a transverse magnetic field was being considered. A flat rectangular shape selection for the study is associated with a model of the simplest heat exchange device, as well as for comparing the results with known theoretical calculations in this problem. To study behavior of the inhomogeneously heated magnetic fluid in gravitational and uniform magnetic fields, experiments in a spherical cavity were performed. Besides, with this geometry, the simplest movement is being realized near the stability threshold of mechanical equilibrium when heating from below in the form of a sole whirl, rather than the system of interacting shafts as in the case of the flat layer.

The article demonstrates that thermogravitational and thermomagnetic tramsport mechanisms interaction under laboratory conditions leads to the complex behavior of the convective system and, as a consequence, to the heat and mass transfer processes complication. The authors propose the possibility of application of active and passive cooling systems with magnetic fluids onboard a spacecraft under conditions of microgravity. For this, numerical modelling performing of the cooling system is being planned to give estimation of its energy efficiency, as well as performing the full-scale space experiment.

Nowadays, due to such advantages as high strength and low density, multilayer composite shells are widely used in various fields of mechanical engineering, including aerospace engineering. Theoretical and experimental studies have shown that when determining the stress condition of plates and shells, especially in the areas of joints (flanged, welded), local and rapidly changing load, as well as those made of non-homogeneous materials, the classical theory is not in line with the practice.

For multilayer composite shells, reliable determination of normal and shear stresses corresponding to lateral deformations represents an urgent issue. This article presents an option of the refined theory of the strain-stress state calculation of spherical shells made of layered composite materials. When creating mathematical model of the shell, the three-dimensional equations of linear elasticity are used. Components of the required displacements are being approximated by polynomials at a coordinate normal to the middle surface of the shell by the two degrees higher than the classical Kirchhoff–Love theory. A system of differential equations of equilibrium and corresponding boundary conditions have been obtained using the Lagrange variation principle. The formulated boundary value problem is being solved by successive application of finite difference and matrix sweep methods. The calculations were performed using a computer program.

A multilayer composite shell, rigidly pinched at two edges was considered as calculation example. The numerical results of the calculation of dimensionless shells deflection under the action of symmetric and asymmetric loads are practically identical to the published results of researchers, employing the other methods, which confirms the validity of the proposed refined theory.

The thickness impact on the stress condition of the shell is being studied. The article presents the graphs of the continuous stress distribution over the thickness of the shell are presented, which is of great importance for the composite materials. It has been established that lateral, normal and tangential stresses of significant value occurred in the edge zone of the multilayer shells. The authors recommend employing the proposed refined theory for their determining.

The purpose of this work consists in developing a technique for the limiting amplitude quantifying of hardened samples with stress concentrators at various compressive average cycle stresses.

To confirm the previously obtained theoretical solution on predicting the maximum amplitude of parts with stress concentrators, hardened by the surface plastic deformation (PPD) methods at the central tension-compression cycle asymmetry and compressive average stresses of the cycle, an experimental study of cylindrical samples made of 45 steel with semicircular profile incisions hardened by pneumatic blasting was performed.

Both non-hardened and hardened cylindrical samples with concentrators applied to them in the form of an annular incision of a semicircular profile were subjected to studying. Incisions were being applied on the hardened sample after pneumatic blasting of a smooth cylindrical sample. As the result, the increment of the maximum amplitude of samples with stress concentrators due to surface hardening, as well as the redistribution of residual stresses of a hardened smooth sample as a result of applying the concentrator to the hardened surface of the sample were being determined.

Experimental limit amplitude determining of non-strengthened and hardened samples was performed with the UMM-01 testing machine, allowing implementing both tensile and compressive average cycle stresses. The results of the endurance limit determining are summarized in a table. For comparison, the table shows the calculated data obtained earlier by the computer modeling.

The author proposes to perform estimation of the hardened samples and parts with different asymmetry degree by the cycle limiting amplitudes diagrams with account for residual stresses. The limiting amplitudes diagram is based the modified Gann diagram.

A limiting amplitudes diagram of a cycle with average compressive stresses was obtained for an asymmetric cycle, where a hardened sample with a concentrator and a non-hardened sample with a stress concentrator were employed.

Fr om geometrical considerations, the equation for the coefficient of of residual stresses effect on the limiting amplitude at various compressive stresses of the stretch-compression cycle was obtained. As the result, a technique for the limit amplitude of hardened samples and parts estimating employing the lim it amplitudes diagram of the stress cycle of parts, with account for residual stresses was proposed. A simple equation for calculating maximum amplitude of hardened parts with concentrators at different degrees of cycle asymmetry was proposed. The obtained scientific results can be used in strength calculations without lengthy and costly tests.

Recently, the acute issue of the possibility of orbital space vehicles flight prolongation after colliding with the object of technogenic origin, which may lead to sealed structures damaging in the form of surface micro-cracks arises.

The urgency of this problem will enhance in the oncoming years due to the current tendency of near-Earth space contamination increasing by technogenic particles. In this regard, failures diagnostics of flying vehicles with the damages if the form of cracks becomes of vital importance, since it will allow substantiating terms of space vehicles staying in orbit to fulfill the set task.

The article studied the issues of diagnostics of the flying vehicles’ sealed compartments with through micro-cracks functioning. The authors obtained equations allowing describe regularities of changing of the working medium leakage from sealed compartments through the through cracks, depending on their changing geometry. The algorithm of plotting regularities of the working medium leakage from the sealed compartments change in the presence of developing the through cracks in their shells was developed. The article presents typical regularities of the working medium leakage through the through cracks in time. Computational results of the compartment depressurizing depending on the through crack length, the degree of its opening, as well as free volume of the sealed compartment are presented.

The results, obtained in this work, allow solving the inverse problem for the instrument and habitable spacecraft compartments. Having the telemetry data on the gas state parameters (pressure and temperature) inside the compartment and these parameters changes with time, a possibility of diagnosing micro-dents characteristics under conditions of the orbital flight emerges. This, in its turn, allows assessing the time margin for the leakiness localization, or taking decision on the emergency landing of manned spacecraft.

The results of this work allow more quick failures diagnostics of flying vehicles operating under conditions of of the near-Earth space clogging with objects of natural and artificial origin.

The article suggests the technique for the design procedure of printed conductor (PC) width of the printed circuit board, being installed of the metal base, for the onboard spacecraft devices, depending on the flowing sinusoidal current of various frequency. The technique accounts for non-uniform current distribution in the PC volume due to the skin effect. The following problems were solved while this technique developing:

• Analysis of the PC active resistance dependence on frequency was performed;

• A refinement, allowing accounting for the skin effect, was developed base on the existing techniques;

• The analysis of the accepted assumptions impact on the calculations accuracy was performed.

The article presents the dependence of the PC active electrical resistance on frequency. This dependence was obtained under the condition that the PC width is much greater than its thickness. This condition is most often being fulfilled in practice. Such assumption was made with the purpose of simplifying the search for the dependence. As long as active resistance equation turned out to be rather complex even with account for the assumption, the article presents the graph of the reduced active resistance dependence. To obtain the active resistance value, the value of the reduced active resistance should be multiplied by the PC length value and divided by the value of its width. The active resistance value is being determined graphically for the specified AC frequency. It simplifies the PC width calculation while printed circuit boards design.

Analysis of active electrical resistance dependence on the frequency was performed. It was established in the course of the analysis that at the frequencies up to 100 kHz active electrical resistance weakly depended on the frequency. The skin effect can be ignored at these frequencies. At the frequencies above 1 GHz, the active electrical resistance does not depend on the PCB thickness. This allows making a number of simplifications, and calculate the active resistance by the thickness of the skin layer.

The previously developed technique assumes the presence of heat removal only through the printed circuit board on the metal base. The article references the publications recounting its gist.

According to this technique, the thermal resistance of insulation material layers is determined by both the geometry of their part, located under the PC, and thermo-physical properties of the materials themselves. When the current flows through the PC, the dissipated power is determined as the product of the square of current and the PC active resistance. This power will be equal to the thermal flow. Then the overheating will be equal to the product of the thermal flow and the thermal resistance of the insulation material layers. Refinement for the AC consists in the electric resistance dependence on the frequency.

Analysis of temperature distribution in the PCB volume due to the current distribution non-uniformity and heat dissipation from the one side only, was performed analytically by solving thermal conductivity equation. Calculations revealed that the skin effect would not be affecting the temperature distribution in the PCB volume significantly. Analysis of the frequency impact on the temperatures distribution was performed.

It was noted that the temperature distribution law became close to the linear with frequency increasing. This is associated with the fact that the AC is being pushed out to the PC surface, and heat sources inside PCB disappear.

It was noted that other assumptions made while developing the technique for the DC affect the calculation result for the AC as well. It is associated with the fact that the proposed technique is based on the previously developed one. First of all, this concerns the edge thermal fluxes effect to the PC temperature. The article stipulates that the method can be applied even if the PC width is not much great than its thickness. If the condition is met, the current flows along the lateral surfaces can be ignored. Non-fulfillment of this condition will lead to the situation when these currents will significantly affect the result. However, the presence of additional currents means that the larger PCB section will be employed while the current flowing. This will lead to the situation when actual active resistance will be less that the calculated one. Consequently, actual PCB temperature will be less than the calculated one. This will no degrade the PCB reliability, but even increase it.

The actual PC power will be less than the calculated one. And as a result the actual PC temperature will be less than the calculated one. This will not decrease the reliability of the PC and increase it instead.

The article performs the harmonic composition analyzes of the output signal of the signal relay device with injection of Doppler frequency shift. Functional models of mixers and band-pass filters were developed in MATLAB. Mixers models are based on intermodulation tables. Band-pass filters models account for parasitic pass-bands. Powers of fundamental and spurious components of the output signal of device with double frequency conversion were determined by the developed models. The results were obtained for various device bandwidths. Simulation was performed for a single-tone input signal. The article considers three cases of the input signal location in the pass-band of the device, namely in the center of the band and at its borders. General patterns of changes in the device output signal while the device bandwidth changing were highlighted. Thus, with the device band-pass increasing, the power and number of spurious harmonics increase in its output signal. In each separate spectrum herewith, corresponding to the fixed value of the device band-pass, the power and number of spurious components decreases with the frequency increase. The cases, when the spectrum does not correspond to the above said patterns were considered in detail. The article demonstrates the possibility in principle to imitate Doppler frequency shift in the wide frequency band of the input signals with the relaying device of the signal with double frequency conversion. Thus, such device can be an integral part of a broadband simulator of radar targets.

The paper describes use of optical laser beacons, with the help of which it is possible accurately and uniquely to determine the location of lunar landing stations when they are observed by optical television means of orbiting spacecraft. The optical beacon installed on the lunar landing station will be detected by the onboard television camera of the orbiter on the basis of a significant excess of light flux above the level of background noise.

Three coordinate systems are used to construct the method of lunar landing stations’ coordinates measuring: the International Celestial Reference System (ICRS), the Bound Coordinate System and the Instrument Coordinate System.

The presented technique is based on the quaternion algebra (Rodrigue-Hamilton’s parameters). Rodrigue-Hamilton’s parameters are widely used in analytical mechanics and they are closely related to Euler’s angles and an end-turn vector. They clearly determine the orientation of the solid body in space and do not degenerate by any parameters of rotation. Practice shows that calculation using Rodrigue-Hamilton’s parameters provides the lowest computational efforts compared to other methods, when the same accuracy characteristics are provided.

The accuracy of the optical laser beacon localization depends on the accuracy of determining of the orbiter’s orientation according to the measurements of the star sensor, the on-board TV camera resolution and the altitude of the orbiter’s orbit. The correlation between the spacecraft orbital parameters and the mutual position of the optical laser beacon is achieved by equalizing of a large array of observations. The equalization method takes into account all measurement errors: from errors in determining of the on-board TV camera orientation to satellite’s orbit deviations caused by irregularities of the lunar gravity field.

The presented technique will allow to locate the position of the lunar landing station with an optical laser beacon onboard with an accuracy of units of meters.

Thus, the integrated use of the orbiter on-board equipment and the binding of its measurements to the World Time Scale allows to determine the selenographic coordinates of lunar terrain points in the LRS system. This will allow to use it as a reference point for establishing of a high-precision grid of selenodetic coordinates, and to bring mapping of the lunar surface to the accuracy corresponding to the detail images of the lunar relief.

The article considers data transmission improving in multiprocessor systems for movable objects using wireless data transmission between processor objects (software). The authors developed method and techniques for wireless data transmission with the ability to account for the movement in space of objects of exchange, which ensures increase in the multiprocessor systems performance and a reduction of the communication delay total value. With account for the task specifics, the authors perform the tasks place (programs, subroutines, files, etc.) between multiple software of a multiprocessor system, accounting for the current distance between the software, thus reducing the total communication delay, increasing the productivity and speed of the entire task performing en masse. The proposed ideas are supposed to be employed in critical multiprocessor systems (tracking, observation, aiming, control systems, etc.), when the extraordinary situation time in the system should be minimal. The proposed method and technique for wireless data transmission in multiprocessor systems for movable objects of exchange allows make conclusion on the possibility to design an appropriate algorithm and a specialized device for application in critical purpose multiprocessor systems. It contributes to the reduction of the communication delay total value and concurrent increase in multiprocessor systems performance.

The authors accounted for the problem of computing systems (CS) compatibility and its architecture with the structure of the processed tasks, manifesting itself in the fact that any CS performs the assigned task only for a certain class of algorithms and methods. The assumption was made that the structure of the task and the architecture of the system did not correspond to each other, and the performance of the entire CS was minimal. As far as there is no structure that processes the tasks of various types equally well, several types of topologies, matching up a certain type of algorithm, are used while computing systems developing. Thus, both the CS topologies and methods of their accommodation should be considered within the framework of this work to achieve maximum performance. The authors of the presented work account for the fact that the CS is based on wireless technology. Thus, the performed analysis of such communication methods’ protocols allowed revealing compatibility of their connection with topologies.

A special place in robotic systems application is occupied by the task of developing specialized devices for orientation controlling of the autonomous mobile platforms (AMP) operating in constantly changing observation conditions. One of the tasks consists in developing an optoelectronic control device for controlling autonomous mobile platform for ecological monitoring. Such platforms can be used under conditions dangerous to human health, for analyzing radiation, chemical, and bacteriological contamination, as well as for round-the-clock monitoring of geographically remote places. However, operation of these devices involves employing them on the territories not prepared in advance, with complex landscape, or presence of obstacles, both temporary and permanent. The points for data collection for analysis may not be provided with access ways with road marking. A promising trend is optoelectronic sensors application to obtain information on the elements of the work stage, along the AMP path, which in its turn leads to the in the computational complexity increase of the image recognition algorithms and imposes additional requirements on the performance of the control device element base. This leads to the increase in weight and decrease in the criterion of the AMP autonomy. The purpose of the presented article consists in the performance improving of the device for the autonomous mobile environmental monitoring platform. The authors propose to employ multispectral video sensors that allow obtaining an image of the work scene in several spectral ranges, and hybrid image processing methods that will reduce computational complexity and improve the results accuracy. The problem solution of improving the speed of selection of the objects located on the path of the autonomous mobile environmental monitoring platform is achieved by detecting heterogeneous objects in various spectral ranges, by color and classification based on the albedo value. The developed device novelty consists in calculating three-dimensional coordinates of the geometric center, and the size of the objects highlighted in space by a sequence of images, obtained in drastic conditions in various spectral ranges from video sensors and lidar, from the mobile surveillance system. It allows adjusting the AMP original route, formed by positioning systems, based on the detected obstacles, increasing thereby the speed and precision of the AMP spatial reference. As the result of experimental studies, a comparative analysis of the devices, processing the multispectral imagery to search for the objects located in the field of view of video systems of observation was performed. A structural-functional diagram of multi-spectral mobile device for environmental monitoring platform was proposed. The article presents the description of the software-hardware test-bench employed for the experimental study by simulating the FPGA-based device. The authors were able to analyze the speed performance of individual blocks, which allowed realize even blocks loading and the FPGA internal resources optimization, as well as confirm mathematical substantiation of the proposed hybrid methods and assess the key characteristics of the device. As the result, it allowed reducing computational error at the distance of up to 100 m to the object, the RMSE up to 0.447%, MAPE — 0.397, and increase speed-performance. The object selection and its coordinates determination required 0.04 seconds.

The authors propose the presented solution implementation in the form of a device for autonomous mobile platforms control based on the FPGA. This will allow increasing performance of such platforms and reliability of the obtained results.

Rather strict requirements to the control cycle duration are being laid in certain types of information systems, such as mobile objects control systems, robotic systems and other real-time systems. Thus, the bit capacity reduction problem of messages transmitted between controlling, monitoring, switching and executing devices is urgent for them. One of the approaches to this is size reduction of the additional service information fields, intended for data integrity and authenticity control. The purpose of the work consists in obtaining numerical dependencies between the required buffer memory volume of the receiver and the execution speed increasing of analysis operations, as well as determining conditions of the memory organization option, being under consideration, application.

The authors established the relationships between the probability error value of the data placing in the receiver buffer and the number of interacting devices, the buffer memory size, and the length of the fragmented message. The article demonstrates that with buffer memory organized as isolated areas, the speed of memory attribute analysis increases proportionally to the length of the fragmented message transmitted between the source and receiver.

The article shows that with a small number of interacting devices, buffering messages from various sources in isolated memory areas can increase the speed of analysis of attribute information by a factor determined by the fragmented message length. The ratios between the buffer size and the interacting devices number were determined, which reduced the probability of errors in data placement in the buffer up to a value not exceeding 0.1.

Information technologies development in many areas of human life activity led to the necessity of automated systems for any process control. The task of information protectiveness, which enters, processes and stored in these systems, becomes up-to-date as well.

Earlier, it was noted in the works that, in our opinion, application of the intellectual detector of the information protecting system in the automated control systems, was up-to-date.

One of the intelligent detector subsystems is the authentication subsystem within the information system. Let us take a closer look at the biometric authentication. These systems are based on unique biometric specifics of the particular person. They can be divided into dynamic ones, which are subjected to changes with time, and static, remaining unchanged.

They can be divided into dynamic, which are subject to change over time, and static, which remain constant.

With authentication in the automated control system, we suggest employing user’s keyboard handwriting, which refers to the person’s dynamic characteristics.

Under the keyboard handwriting we understand a set of dynamic characteristics of the working with the keyboard. The standard keyboard allows measuring the following timing characteristics: the time of holding the pressed key and the time interval between keystrokes.

With this authentication technique employing there is no need to purchase extra expensive equipment. It becomes possible to read user’s dynamic characteristics, using a conventional keyboard that comes with a personal computer, and special software.

At present, three basic authentication algorithms based on the keystroke handwriting are being employed. These are analysis while password entering, analysis, based on entering extra text fragment or phrase, and constant covert monitoring. Each of the algorithms has its pros and contras. System development complexities, operation time, and requirements to the computer speed can be highlighted as the common differences.

Operation of each algorithm is based on comparison with the reference behavioral model.

During operation in the system training mode the user enters certain test phrases, which were prepared in advance and should be changing with the with the passage of time. The text phrases selection is an important stage, since it is necessary to collect sufficient amount of statistic information close to real operation.

After the learning mode, the estimates calculated based on statistical information are compared with the reference ones during the period of the system normal operation at the stage of identification. On their basis, a conclusion is made on the keyboard handwriting parameters match or mismatch.

When statistical data obtained in the course of work differs from the reference behavioral model by more than the value set by the protection system, the user gets a refusal to work, and protection system generates a warning message.

Thus, in our opinion, the user authentication application in automated control system employing the keyboard handwriting is prospective.

The article considers the problem on aeroelastic fluctuations of power transmission line ice-covered wires under the wind loading (this phenomenon is also known as wires galloping). The sought quantities are the generalized coordinates of the problem: the coefficients of the approximating functions of the Ritz method and local displacements. A rigid connection between cross section of the ice and cross section of the wire is assumed. It is regarded also that while moving the wire cross section remains in the same plane. The equations describing the process dynamics are being obtained using the D’Alembert-Lagrange principle equations. The summarizing system of nonlinear differential equations, obtained by grouping the terms at variations of work and latent energy, describes the process dynamics. The system should be integrated numerically using appropriate methods (Runge–Kutta, linear multistep methods in case of high stiffness of the system, etc.). Initial conditions for the dynamics problem integrating may be obtained from the solution of the statics problem. The equations for the static problem can be obtained by excluding all inertial terms (terms with a time derivative) from the equations of the dynamic problem. The problem of statics is also being solved numerically, for example method of continuing by the parameter. The phenomenon described in the article is similar to the aviation flutter phenomenon, and, correspondingly, the described model with certain add-ons can be applied to solve this type of problem. Besides, the model of the elastic tensile wire, described in the article, can be employed in other tasks with tether systems (aircraft fuel hoses, space tether systems, etc.).

In this work, for the first time, the effective dynamic properties of a whiskerized layer in modified composites are studied taking into account the structural characteristics of the interphase layer – the length of whiskers, the volumetric content of whiskers, and their mechanical properties. In the case of pure shear along the whiskers, the effective dynamic properties of the interphase layer obtained by the three-phase method and the Reuss method are estimated. In the calculation, we use two types of interfacial matrix: epoxy and viscoelastic polymer at temperatures below the glass transition temperature. Comparison of the obtained plots indicates the effect of a significant increase (by about an order of magnitude) of the effective loss modulus of the whiskerized layer if a viscoelastic polymer is used at a temperature below the glass transition temperature instead of an epoxy matrix. We will also show that an increase in the stiffness of whiskers has a positive effect on the effective characteristics of the interfacial layer, however, we note that this effect manifests itself only at very low volume fractions of the binder in the layer, in the rest of the range the effect is not so pronounced. high effective dissipative properties are realized, which opens up prospects for modeling and predicting modified fiber composites with abnormally high damping properties at the same time sufficiently high mechanical characteristics.

Note that the use of a more accurate procedure for calculating the effective properties, based on the three-phase method, gives somewhat large values ​​for the effective characteristics of the loss modulus, but does not fundamentally change the dependence for the loss modulus. It is important to note that the proposed new procedure for modifying a fiber composite leads to a significant increase in the effective loss modulus, when the effective loss modulus can be significantly increased in comparison with modified composites obtained on the basis of only an epoxy matrix and even in comparison with the loss modulus of the epoxy matrix itself (more than 40 times compared to the loss modulus of an epoxy matrix). At the same time, we note that the effective mechanical properties change insignificantly, and all the useful characteristics and features of the modified fiber composites remain invariably high.

The article regards a case of personalized bibliographic retrieval system, as well as the examples of its application. The system is accommodated with the resources of the AI Corpus scientific publication, established at the Pole Allen Artificial Intelligence Institute. It complements such retrieval systems, as Google, and by engaging of certain open components can be extended by the functions of searching, referencing and analyzing of a higher level. The author proposes an approach, allowing perform a two-stage information retrieval, i.e. by the search in the Global Information Bank, and thereafter by the fine search within the boundaries of the information asset being retrieved with regard to the special areas of the system user interests.

To clarify of the problems of this article, a partial classification of informational systems by the nature and role of the informational retrieval being performed in them was proposed. The basic requirements to the implemented system were formulated. A technique for scientific documents passports cataloguing was proposed. The author performed comparative analysis of the implemented system with the general-purpose retrieval systems. Systems of information analysis services for a specialist in the area of software engineering are the research objects, dedicated to the problem under discussion. Physical purpose of the study consists in implementing experimental individualized bibliographic retrieval systems for both scientific and technical workers. The implemented system can be employed as well by the scientific and technical personnel for search, selection and analysis of scientific documents in the field of aerospace engineering.

The article describes a method for fault tolerance ensuring of a communication network with a multidimensional torus topology, tested while developing the Angara high-speed interconnect router. The high-speed data transmission is associated with a number of difficulties that should be overcome by the hardware designer to achieve acceptable fault tolerance. Problematics of the issue becomes especially acute with an increase in the number of nodes in the system, since the probability of failures is greatly enhanced with expansion in the number of connections.

The work on the fault tolerance ensuring was performed in the following areas:

– quality improving of the transmitted signal by parameters fine-tuning of the high-speed transceivers;

– automated control of the parameters of the signals eye diagram and optimal parameters selection of the transmitting and receiving sides of the data transmission channel;

– developing a fault-tolerant link integrity control algorithm with the ability of the damaged data retransmission;

– developing a data flow control mechanism to control the credit information of the virtual channels;

– developing network layer algorithms for network state monitoring, and quick routing tables rebuilding.

The algorithms and mechanisms described in the article continuity ensuring f the transmitted data flow and their guaranteed delivery over the communication lines between the nodes, exclusion of losses, duplications and distortions of packets during transmission. The conducted measurements have shown that the bit error rate (BER) was about 10-12, which corresponded to the permissible values.

The methods described in the article allow obtaining the availability factor of more than 0.99 for large computing systems. At present, they are implemented in the equipment of the serially produced Angara network equipment, and are also widely applied in the design of the second generation Angara high speed interconnect router.

A need for experimental test benches, with which one or several parameters can be measured with high accuracy, arises for conducting tests of thin-walled shells. One of the most significant factors is exclusion or minimization of measurement errors. The purpose of this work consists in identifying a new regularity able to eliminate or physically reduce the calculation error when determining numerical oscillations characteristics of the thin-walled open shells of various curvatures. It was confirmed in the course of the research that a significant number of factors affect the accuracy of certain characteristics of the oscillatory process. Description of all physical laws, affecting measurements accuracy while experimental set up, touches on a significant time period. Thus, on the assumption of the conducted study a technical device, named a test bench, was manufactured in the course of this work. Test benches allow significant measurement quality increase. A test bench for contactless study of natural and forced oscillations of open cylindrical shells was developed in the engineering structures laboratory of the Komsomolsk-on-Amur State University. This test bench is metallic and rigidly attached to the base. Its small size allows measuring numerical characteristics of thin-walled open shells vibrations with high fidelity while measuring their width, height and curvature, as well as mounting methods. The studies aimed at revealing effective devices improving measurements quality, were conducted for its creation.

The scope includes all thin-walled shells employed in aerospace technology, submarines and ground structures. In the course of shell structures operation accidents occur, sometimes with casualties. This circumstance necessitates improvement of technical and scientific aspects of calculation, as well as mathematical and physical models. Experiments setting and conducting for confirming and correcting the developed mathematical models is an integral part of these studies. Since human casualties take place while shells operation, the studies in this area should certainly be continued. Flights of spacecraft and other delivery vehicles, for which the shell is the only possible structural solution, make relevant the studies in the field of shells vibrations.

Plane non-stationary contact problems are being considered for absolutely rigid bodies with rectangular sections in plan (stamps) and an elastic half-space with recessed cavities of arbitrary geometry.

The problems setting includes the equations of plane motion of an elastic medium (Lamé’s equations), Hooke’s law, Cauchy relations, zero initial conditions, boundary conditions of the free edge on the boundary of the internal cavity in a half-space, conditions of contact between the boundary of the half-space and the stamp. To close the problem, the equations of translational motion of the centers of mass of the stamp are added. Cases of free slip and rigid adhesion are considered as contact conditions. We assume that outside the contact zone, the surface of the half-space is free of stresses. All equations and relations of the mathematical formulation of the problem are written in a Cartesian rectangular coordinate system.

At the initial time instant, a vertical load is applied to the stamp with a predetermined law of changing in time, which resultant is passing through the center of mass of this body.

The dynamic work reciprocity theorem is used to solve the problem. Application of the reciprocity theorem of works leads to the two-dimensional boundary integral equations, which kernels of are the transient functions. These functions represent solutions for a non-stationary problem for an elastic plane under the impact of concentrated mass forces. Integral Laplace transforms in time and Fourier transforms in spatial coordinates are used to build a solution to this problem.

The direct boundary element method with discretization in time is used to solve the two-dimensional boundary resulting integral equations. The linear interpolations in time herewith are used for displacements, and piecewise constant approximations for stresses. Special quadrature formulas based on the canonical regularization method are employed for singular integrals calculation.

As the result, a statement is presented and a method for solving new plane non-stationary contact problems for absolutely rigid stamps and an elastic half-space containing a recessed cavity with a smooth boundary of arbitrary geometry is developed. A resolving boundary integral equation is built and its discrete analogue is proposed.

The discharges level of deleterious contaminants concentration in combustion products is one of the basic parameters, characterizing the combustion process effectiveness in combustion chambers.

The article being presented considers the impact of fuel feeding technique, realized in the atomizer, on the above said parameter variation. One of the considered atomizers ensures jet feeding of the fuel with the perforated atomizer, while the other one ensures swirled fuel feeding by the swirler integrated into the fuel passage. Basic geometrics of the atomizers, such as swirler sizes, the number of blades and the outlet nozzle diameter, are presented as well.

The flame tube simulator design, in which the tested atomizer is being placed, is regarded. The article presents the test bench installation designed for the atomizers testing in the flame tube simulator, as well as modes at which these tests were conducted. The results were obtained in the flame tube simulator with installed jet atomizers and atomizers with the swirled fuel jet. The analysis, by which results the inferences on the jet atomizers application efficiency were drawn, was performed. According to the performed studies, parameters of the atomizer with swirled fuel jet are being characterized by the presence of high values of CO and CH level in the combustion products, which is explained by the low mixing quality of fuel with air and, consequently, extremely low effectiveness of the fuel combustion. The atomizer with jet fuel feeding demonstrates low CO and CH values, which is indicative of the good quality of fuel mixing with air and high efficiency of combustion process organizing.

Equations obtained from local models gained wide proliferation for assessed calculations of forces acting on a body while its high-speed motion in a gas. The basis of these models is the assumption that each element of the body surface interacts with the gas flow independently from the other segments of the body, and the force acting on it depends only upon the element orientation relative to the motion direction. Such representation of the forces acting on the bodies in the hypersonic flow allows rather simple solution of variation problem on searching for the shapes of the bodies of minimal drag.

The drag force in the hypersonic rarefied gas flow for a rotation body with power-law generatrix is being computed based on several local models.

In this case, the drag factor value is being computed analytically. The variation problem is being reduced to the problem on the extreme value of the one-variable function, i.e. the degree of the rotation body generatrix.

Apart from the classical Newton aerodynamic problem, the problem of a rotation body with minimal drag for a free-molecular hypersonic gas flow is beings also solved as well. To determine the degree in the rotation body generatrix at the arbitrary Reynolds numbers the well-known local model for the approximate determination of pressure and friction on the body surface in a hypersonic rarefied gas flow is being used. In all cases, the problem is being solved for bodies of arbitrary elongation.

At Reynolds numbers tending to zero and for large elongations, the degree in generatrix of the rotation bodies of minimal drag tends to 2/3, and for Reynolds numbers tending to the infinity it tends to ¾. This is consistent with the well-known results for the free-molecular flow mode, as well as for the continuous medium (Newton formula), respectively.

The article proposes a Crocco pseudo-shock model modification allowing evaluate parameters distribution while super-sonic flow transition to the subsonic flow in the structure of the mathematical model of the supersonic ramjet power plant with the deceleration zone.

Numerical simulation of the gas-dynamic parameters in the of the pre-chamber diffuser (isolator) channel of a specified geometry was performed. As part of modified Crocco’s model, the pressure distribution can be approximated by the orthogonal Laguerre decomposition

 where coefficients b_j are determined by the numerical solution of the variation problem of minimizing entropy producing. For the adequacy testing of the modified Crocco pseudo-shock model, experimental data was obtained from experimental testing of a dual-mode ramjet engine combustor with a pre-chamber diffuser. Verification of the calculated pressure distribution along the pseudo-shock development zone using the principle of minimum entropy producing was performed by comparing with the generalizing experimental dependence. A certain discrepancy between the experimental and computed data can be explained by no accounting for the entropy producing processes, as well as by the effect of the heat-mass transfer processes on the parameters changes in the pseudo-shock structure. The original Crocco model employs the condition of constancy of the total pressure p* = const, which means

.

 This assumption does not produce an adequate result. Thus, the solution of the original Crocco model for the compression zone leads to the values of M>2.0 - 2.5 in the cross section of the dissipation layers confluence. From physical estimation, the Mach number should approach 1.0 in the confluence zone of the dissipation layers, which can be achieved by modifying the Crocco pseudo-shock dissipative model. The model is intended for parametric studies as a part of the ramjet mathematical models.

The article considers in detail the basic types of the first stages returning, such as returning along the ballistic trajectory to the launching site or another prepared site through the reusable engines, operating on the onboard fuel reserves (vertical landing); landing, employing parachute-jet systems; the first stage returning employing the aerodynamic quality, lifting wings and a turbojet engine.

The main disadvantages of each method of the first stages returning were considered in detail. Comparison of the method of the first stage returning employing the aerodynamic quality, lifting wings and a turbojet engine with the method of returning along the ballistic trajectory through the reusable engines operating on the onboard fuel reserves was performed. Both stages had equal remaining mass of m_r = 0.38; specific thrust parameters of r_sp = 300 s for the turbojet engine; flight range of L = 300 km; and initial return speed of
u_s1 = 2000 m/s. The first stage returning method employing the aerodynamic quality, lifting wings and a turbojet engine requires lower relative mass of the means of returning α_r = 0.27, compared to the method of returning by the vertical landing, where α_r = 0.51. In addition, usage of the first stage, returned to the launching site over the ballistic trajectory, reduces the payload mass m_p.l. by 23% compared to the single-shot rocket because a part of the fuel remains for returning to the prepared site. In consequence of this, the rocket carrier does not carry all payload. With employing the method of the first stage returning employing the aerodynamic quality, lifting wings and a turbojet engine the payload reduced only by 7% compared to the single-shot rocket.

The article regards a model of the onboard active jamming station (AJS) functioning, algorithms for penetrating jamming suppression in a «compensation» way, compensation and modulation control algorithms while the penetrating jamming suppression in conditions of incomplete information on the radio waves propagation channel characteristics.

The AJS generalized mathematical model describes the operation of the radio waves radio channel along the object of the station location, the received useful signals and penetrating jamming. The following assumptions were accepted while the model developing:

— radio channel of the radio waves propagation is linear, since nonlinear electro-physical effects, caused by the object surface irradiation are smallish and can be neglected due to relatively small values of the AJS radio signals

— radio wave propagation along the object from transmitting to the AJS receiving antenna occurs over a number of ways (a multipath propagation character);

— the number of ways, electric length, damping and phase incursion are a priori unknown, and changing rapidly;

— while radio waves propagation along the object of the AJS accommodation, it is being delayed at each way of propagation proportionally to its length, which leads to the uncontrolled changes of the penetrating jamming phase and amplitude.

The article presents equations describing time and frequency properties of various realizations of the useful receiving radio signal. It is shown that amplitude and initial phase of the received radio signal fluctuate randomly due to the changes of radio waves propagation conditions.

When mathematical model developing of the penetrating jamming suppression mechanism, the fact of the low efficiency of classical algorithm, stipulated by the fact that compensation occurs at the very high carrying frequency of the radio wave radiated by the AJS, was accounted for.

The authors proposed to reduce the effect of negative facts on the effectiveness of penetrating noise suppressing by synthesizing a compensation oscillation from the components of the AJS’s emitted oscillation at frequencies arising due to its additional modulation. For this, penetrating jamming was separated into such components. To eliminate spectrum distortion of the receiving signal, when the filter extracted the jamming components, a criterion for modulation frequency selecting was introduced. This allowed utilizing a system of the 2n bandpass filters separating the penetrating noise into the components. To isolate the receiving radio signal from the received mixture containing penetrating noise, the authors proposed to employ a separate filter with central frequency matching the tuning frequency of the AJS receiver. The output signals are converted by a quadrature (synchronous) detector to obtain complex envelopes of interference in each filtering channel.

The article proposes the algorithm for synthesizing a complex envelope of the compensated oscillation from the complex envelopes of frequency components of the penetrating jamming. Compensating oscillation is being restored from the complex envelope by modulating harmonic oscillation in the quadrature modulator. A generalized structural diagram of the compensation method for the penetrating jamming suppression is described.

The algorithm for compensating oscillations forming was presented in the matrix form. Equations for the generalized linear algorithm for forming both the compensation oscillation and a value of power of the non-compensated residue of the jamming were suggested. This algorithm can be implemented in digital form using an ADC and a signal processor.

To optimize parameters of the proposed algorithms, the authors propose to develop a computer mathematical model of the penetrating jamming suppressing process at the input of the AJS receiver.

The presented work describes the laboratory installation for semi-natural modeling of the data channel in the ultrasonic wavelength range. Semi-natural modelling is understood as a study of a system on the simulating installation with real equipment elements inclusion into the model structure (in this case it is software algorithmic support of the digital receiver-transmitter track). The laboratory installation is meant for transmission line simulation of radar and optoelectronic information to the data receipt and processing point at the design stage. The purpose of the work consists in transmission quality improving of the spacecraft trajectory signal by the radar with the synthesized aperture antenna (SSAR). In the following, the SSAR laboratory breadboard will be developed, which will include the breadboard of ultrasonic SAR and ultrasonic data transmission system (UDTS).

The installation includes the hardware (PC, amplifiers, power supplies, ultrasonic sensors) and the software part. To create the Doppler effect in the channel, the possibility of linear or nonlinear (with or without acceleration) movement of the transmitter or receiver was realized. The receiver is implemented based on software signals reception and processing.

The result of the work is the developed laboratory installation of the OSPA integrated into the SAR layout based on the location acoustic complex, which allows obtaining the quality assessment of information packages transmiting.

The laboratory installation can be applied in scientific research and training when studying radio engineering disciplines.

The presented work studies the impact geometrics changing of the elliptical cross-section cylindrical shell under pressure clamped between two rigid plates on the contact zone width. The study is being performed by the analytical modelling of the method with Wolfram Mathematics software. The dependence of contact zone width between the shell and rigid impediment changing on acting pressure was obtained in the course of analytical modelling. The study of major and minor semiaxes impact, as well as the shell thickness on the contact zone width changing depending on the acting pressure was being performed for the obtained solution.

The performed modelling results revealed that the minor axis increase entailed the contact zone reduction, while the major axis increase resulted in the contact zone width enhancing. The shell thickness increase reduces the contact zone of the shell with the rigid plate. Analytical dependencies of the contact zone width on the geometric parameter were obtained by approximation for studying the process of the contact zone width. Analytical alignment method was used as approximation. The obtained functions were being differentiated to determine the speed and speed-up of the contact zone width change while changing each of geometrical parameters.

A mathematical model for calculating the flutter of a composite unmanned aerial vehicle (UAV) with a wing-tail boom configuration is presented. The mathematical model is built in the Nastran software with a finite element method (FEM). The elastic model of the device is represented by a set of beams connected through flexible joints. The aerodynamic model is constructed using the doublet-lattice method (DLM). To obtain the critical flutter speed from the rotational natural frequency of the control surfaces in the finite element model varied stiffness elements «CELAS2» modeling actuators of the controls. The design features of the device under study are considered. Calculations of flutter shapes are presented and the results are analyzed.

From the results obtained, it can be concluded that a UAV with a wing-tail boom configuration is subject to flutter of control surfaces, which is due to weight unbalancing of the controls.

The considered design scheme of the UAV has low natural frequencies of tail due to the elasticity of the tail beams and the wing, as well as the elasticity of the wing joints in the fuselage.

NX Nastran software package can be successfully used to calculate the flutter of composite aircraft. The advantages of the finite element method implemented in NX Nastran include the possibility of high detail of the computational model in order to more accurately simulate real aircraft structures. However, when verifying a computational model developed using FEM, difficulties may arise: the higher the model detail, the more difficult it is to correct the constructed model based on the results of the experiment.

The article presents a mathematical model development of the algorithm for recognizing the signal modulation type (linear-frequency modulation (LFM), phase-shift keying (PSK), and simple ones) in the autocorrelation receiver. Analysis of the algorithm implementation possibility on the FPGA basis is presented as well. Mathematical model adopts the assumption that the transfer gain of the autocorrelation receiver equals to one, and various distortionless filters pass the signal low-order components at the multipliers outputs. The article presents analytical description of the LFM, PSK simple signals processing in the autocorrelation receiver. Based on the developed model, the applicability boundaries of the algorithm were substantiated: 1.5 MHz bandwidth for the high-pass filter; up to 50 MHz for the bandwidth filters; and up to 100 KHz for low-pass filters. The time delay in the correlator of the autocorrelation receiver herewith lies within the 10 ns to 1000 ns range. Besides, based on the developed model, the effect of the delay time on the signal detection characteristics, which allows defining the optimal delay time for tuning the autocorrelation receiver while effective radar signals detection, was evaluated. Sequences of actions for analyzing the possibility of the developed model FPGA-based realization were proposed. The algorithm resource-intensity evaluation was performed. Evaluations of the resource-intensities of the filter system and spectrum obtaining devices, realized on the fast Fourier transform basis, were conducted. The evaluation result revealed that no less than 900 000 logic gates were required for the entire algorithm implementation. The appointed requirements are feasible for the majority of modern FPGAs, such as FPGA on the VU095 chip of the Virtex UltraScale family, which contains 1.176 million logic gates.

These requirements are true for most modern FPGAs. For example, it can be used the FPGA VU095 of the Virtex UltraScale family, which has 1.176 million logic gates.

Automated workplaces are an integral part of any enterprise, including those in the aerospace industry. Errors that may occur at the automated workplace exert a negative impact on the activities of an individual company, as well as on the industry as a whole. At present, there are solutions to this problem, but they are being realized manually using software utilities to rectify some of the identified problems.

The purpose of this work consists in creating the structure of the decision-making system in case of automated workplaces failures and the formulating the decision-making criteria.

The following errors and failure factors were revealed while the errors statistics analysis process. The conducted studies allowed developing a mathematical model of the decision-making system and its subsystems.

The effectiveness criterion is optimization of the working places users activities by reducing the time spent the failures detection and elimination.

The following results were obtained.

The study of the failure statistics, allowing identify and describe statistical dependencies in the form of a mathematical model, was conducted.

A conceptual model of the decision-making system in the event of automated workplaces failures, consisting of four interconnected subsystems, has been developed. Management tasks for each of the subsystems were formulated. This is the scientific novelty of the presented results.

The system functioning allows ensuring the smooth operation of the automated control system, or reduce to a minimum the amount of the time spent on solving the problems of failures, which defines its practical meaningfulness.

The article demonstrates that the basic problematic areas of aerial vehicles (AV) automatic landing systems (ALS) developing are information support and automatic control.

The purpose of the work being presented consists in studying the issues of information support, actual for the ALS of both manned and unmanned aerial vehicles, identifying the basic problems, hindering the AV ALS development with regard to to the information support and technical solutions, which can be employed while the AV ALS developing.

The article considered radio and satellite information support systems for automatic landing (AL) ensuring, technical vision systems (TVS), as well as a number of other systems. The authors suggested a multilevel classification of tools for the ALS information support.

The ALS radio-technical information support systems, capable of ensuring the ALS prior to the instant of the AV landing on the runway, assume high material costs on both installation and operation. Satellite navigation systems (SNS) with functional augmentations seem to be their alternative. However, in the case of large-scale warfare the satellite signal accessibility remains in question. Application of systems, ensuring autonomous navigation, such as TVS, correlation-extreme systems, etc., which also, in their turn, are not free from disadvantages and can depend significantly on the external conditions, can be the way-out to the situation.

Inertial navigation system (INS), corrected by the information received from the satellite navigation system with functional augmentation (differential navigation) and radio-technical navigation system (as a backup source of information), may be suggested as the core of the AL information support.

While the ALS designing, It can be recommended to develop information support based on the complex information processing by the following systems: INS, the ILS radio beacon system, global SNS with additional augmentation, and TVS. When designing the ALS for military purpose aerial vehicles, we recommend information support developing based on the computer processing of the information from the following sources: : INS, landing radar, global SNS with additional augmentation, VS, correlation-extreme navigation system using onboard radio systems.

The near-term prospects for the ALS development with regard to information support are associated with employing information received from the INS, radio navigation systems and global SNS with additional augmentation. The medium-term prospects of the ALS are associated with the widespread application of the capabilities of information complexing from external sources of various physical nature (mainly SNS, VS and correlation-extreme navigation systems using on-board radio systems) and increasing the accuracy characteristics of onboard INS. The long-term prospects of ALS are associated with autonomous navigation systems employing capable to operate in non-deterministic conditions, including the resources of control degradation.

The main block of the spacecraft control system (CS) is the onboard computer. In the process of the CS operation, it executes the onboard software modules (OSM), which define its behavior. Thus, correctness of the entire CS functioning depends on the onboard computer operation normativity. That is why thorough checkup of its operation in all possible operation modes on the test benches is of utter importance. Normativity control technique is the spacecraft telemetry information analyzing with regard to the signs, which characterize various aspects of the onbooard computer functioning and the OSM operation.

The existing analysis technique lies in decryption of the initial binary file of telemetric information (TMI) by the special program tool. As the result of its operation, a new text document, which content is presented in the form recognizable by a human, is being formed. Further, personnel of the enterprise extract the required information and analyze the obtained data. Despite of this approach simplicity, it has a number of significant disadvantages, such as:

• Excessive strain of the personnel is required;

• High probability of errors due to the “human factor”;

• Certain time is required for the manual analysis, hence, it does not allow on-the-fly detection of irregularity.

Thus, automation of the detailed analysis performing presents interest. The similar work was already being conducted, though only as a part of the normativity control of the program modules execution times. The purpose of the presented work is development of the approach created earlier by adding the analysis as regard to the criteria characterizing the onboard computer operation.

The source data for the new algorithm represents normative values of the signs, which characterize the onboard computer state for its various operating modes, the cyclogram information and TMI. The analysis procedure itself is proceeding in three stages. These are:

• Normativity validation of the signs value, characterizing the onboard computer operation;

• Validation of the cyclogram execution;

• Forming general confinement on the normativity of the onboard computer functioning.

Special program tool for performing automated analysis was realized based on the proposed algorithm. Its special feature consists in the possibility of operation with both graphic interface (manual mode) and automatic mode (at interaction with the existing automation tools). As the result of this work, the analysis of the onboard computer functioning while conducting test bench testing has been significantly simplified.

Automated control system (ACS) of life support systems complex (LSSC) is being described from the system approach position. The ACS and LSSC constituent parts are being regarded in aggregate and interaction between each other. Accounting for external surroundings, such as systems operating in conjunction with the LSSC, environment, the spacecraft sealed bay, crew and ground-based flight following services, is mandatory.

The effectiveness of the LSSC ACS developing and functioning is being defined by the great number of controversial criteria. The article suggests splitting all criteria into the three groups, so that criteria inside each group would not contradict each other. Three generalized global effectiveness criteria (GEC) were formed on this base. They are

– survivability, incorporating local criteria (LC), such as resource, reliability, etc;

– cost value, incorporating the LC such as energy consumption, weight, servicing time, material costs, etc;

– comfortability, incorporating the LC such as live environment parameters, interaction with crew, accommodation, operating modes, etc.

While extremum searching per each GEC, restrictions are imposed on the two remaining GECs.

The systematic approach sequence while the ACS developing:

– analyzing connections with higher-order system and external surroundings;

– analyzing the variety of effectiveness criteria, and developing the GEC;

– creating hierarchical structure of effectiveness criteria;

– system decomposition by the subsystems of less complexity; optimal solution search for subsystems in the LC structure, following from the hierarchical structure;

– optimal solution search for the entire complex system with ensuring extremum on GEC.

The first and second rank of importance criteria, such as sustainability, cost value and comfortability, were considered in the hierarchical structure of each GEC.

The suggested approaches to ACS for LSSC are realized while the new test bench design. The test bench is universal, and adapted (with minimum necessary changes) for refinement and maintenance of any life supporting system (based on physic-chemical regeneration processes) from the LSSC content. The test bench is described as applied to the oxygen regeneration system. The “Electron-VM” system is based on the oxygen obtaining by the water electrolysis technique, and it has been functioning onboard the International space station since 2000.

Simulation modeling of the ACS functioning, based on the “MARS-500” data, was conducted as a part of the suggested approach presentation.

The considered approach presents a technique for developing the LSSC ACC for a manned space object.

The purpose of the presented work consists in predicting the diagnostic characters changes and correlating them with possible type of technical state for undertaking preemptive measures while complex technical systems diagnosing.

The approach being proposed and models are based on the basic concepts and relations of reliability theory and technical diagnostics of systems. The source data represents information on the reliability (failure rate of elements, structural and logical schemes) of complex technical structures and diagnostic models linking the types of technical states and diagnostic features. The sets of conditional probabilities or distributions density are being pointed for the cause-and-effect relationships between types of technical states and diagnostic features, depending of continuous or discrete type of the diagnostic character.

The algorithm for predicting the values of diagnostic features proposed in the article is based on the Berg linear prediction algorithm. It is adapted and studied herewith for the main functional dependencies of diagnostic features. The results of diagnostic characters predicting are considered on the specific examples, and estimates of the forecast accuracy are given. The model based on dynamic hybrid Bayesian trust networks includes discrete and continuous variables, which describe the cause-and-effect relationships of types of technical states and diagnostic features, as well as the relationship of blocks (elements) in terms of reliability. The results of the logical-probabilistic inference indicate that the decision on the type of technical condition of a complex technical structure changes significantly when accounting for the forecast estimates of diagnostic characters.

The proposed scientific and methodological approach can be employed to create diagnostic software for modern complex technical structures with artificial intelligence elements.

Mathematical models of diagnostics considered in the article account for the connections types, elements reliability, as well as dynamics of technical states types and their relationship with diagnostic features, which can be both continuous and discrete. the Technical condition predicting allows implementing the proactive management concept, parry possible failures, changing the operating modes in advance, switching to backup elements, etc.

The article considers the problem of the fastest reorientation of the spacecraft’s circular orbit plane in quaternion formulation. The spacecraft orbit terminal position is not being fixed in the orbit plane. Control, i.e. the acceleration from the jet thrust vector, orthogonal to the orbit plane, is a piecewise-constant function, limited in absolute value. The spacecraft center of mass motion is described by the quaternion differential equation of orientation of the orbital system of coordinates. The article presents an original genetic algorithm, developed by the author, for finding the number of active section of a spacecraft movement and their duration. While this technique application there is no need in searching for the initial values of the unknown initial values of conjugate variables. To solve the Cauchy problem at one of the algorithm operation stages, a well-known partial solution of the quaternion differential equation of orientation of the orbital system of coordinates was used. Examples of the problem numerical solution are presented. A case, when the difference between initial and final orientations of the spacecraft orbit is units of degrees in the angular measure is considered. The final orientation of the spacecraft orbit plane herewith corresponds to the orbit plane of the satellites of the Russian GLONASS orbital grouping. Graphs of components of the quaternion of orientation of the orbital system of coordinates, angular variables, describing orientation of the spacecraft orbit plane, and optimal control are plotted. Specific features and regularities of the optimum reorientation process of the spacecraft orbit plane are established.

The objective of the research consists in developing techniques for optimal routes forming of the aircraft flat motion in the presence of obstacles. The problems of aircraft control routes planning and optimizing are being studied currently with increasing intensity. The relevance of these studies is determined by the need for effective automated control of unmanned aerial vehicles (UAV) for various purposes.

The article regards the models of the flat motion of control objects along the specified map with obstacles with various quality functionals. The map represents a connected graph, which arcs correspond to the continuous movements of the object, its vertices correspond to the discrete changes of its state (switches), and the path connecting several vertices of the graph describes the continuous-discrete nature of the motion trajectory.

The first section considers the control object movement along the rectangular grid. The movement between two grid nodes is either uniform of uniformly accelerated. The movement direction changing in the grid nodes (turn) is considered to be switching. A number of the grid nodes is inadmissible for the movement due to the obstacles contained in them. The problem on minimizing the number of switches, response time or response time with account for the number of switches is being set.

The second section solves the problem on the flat movement optimization of the unmanned aerial vehicle (UAV). The Markov-Dubins model was selected as the model of motion. The feature of the response time problem consists in the presence of intermediate conditions, i.e. the points on the map, through which the UAV trajectory should pass. This problem is being reduced to solving an aggregate of Markov-Dubins problems with additional finite-dimensional minimization.

The third section combines the two problems discussed previously in the first two sections. The UAV rational trajectory is being formed in two stages. Initially, the optimal polyline, i.e. the trajectory of movement on the rectangular grid with obstacles, is being synthesized. Then, the optimal Markov-Dubins trajectory is being built «atop» this polyline, and the vertices of the polyline serve as intermediate points for the UAV trajectory.

The result of this work is algorithms, allowing build rational routes of the UAV’s flat movement with many obstacles, such as in the city. It is difficult to solve the optimal control problem under such phase restrictions. Thus, application of the proposed rational control patterns seems righteous.

At present, there are no stability criteria similar to Courant-Friedrichs-Lewy criteria for systems of autonomous differential equations (SADE). The instabilities, manifesting themselves as a computational chaos, occur while the numerical integration of SADE. Moreover, the time step decrease does not lead to this instability elimination. Commonly, the studies on determining the sensitivity of solutions to the initial conditions setting are being conducted to explain the deterministic chaos phenomenon. These studies demonstrate exponential divergence of initially close solution trajectories, and impossibility of selecting such small computational error to «conquer» the uncertainty in the Lorenz type SADE.

The conclusion is drawn from this circumstance that since the principal difficulties do not allow achieving the necessary accuracy, there is no need to muse about determinism. However, such approach does not resolve the problem of solutions determinism, irrespectively to the possibility or impossibility of obtaining of the information regarding the evolution of the considered system. The issues of predestination in the closed systems, in particular with such closed system as Universe, conjugate with these issues.

The studies conducted in the presented work demonstrate that the deterministic chaos occurring in SADE of Lorenz type may be associated with the stochastic process and is not, in essence, the deterministic chaos for any finite time step.

The article discusses the issues associated with the possibility of turbulence modelling based on the Navier-Stokes equations via direct numerical simulation technique.

The problems related with the feasibility for modeling of the turbulence on the basis of Navier-Stokes equations via the direct numerical simulations are also addressed in the paper.

Pressure losses, combustion completeness, temperature field unevenness at the outlet and hazardous substances release are one of the main parameters of a combustion chamber. The article presents a fuel combustion technique, in which an air jet is fed along nozzle axis, and the fuel is being inserted into the main flow by means of the radial trickles. The effect of the jet-injection nozzle setting into the combustion chamber section on the above listed parameters changing is being considered to estimate this fuel burning technique. The structure of the bench installation for the combustion chamber section testing, as well as modes at which these tests were being conducted are presented. Equipment, employed for measuring such parameters as flame temperature and concentration of hazardous substances in combustion products was described as well. To perform analysis and comparison of the obtained data, the experiments were conducted with the jet nozzle and the jet-injection nozzle being installed into the combustion chamber section in number of nine pieces. The section represents the 1/14 of the full-sized combustion chamber and consists of the outer and inner cases, and a flame tube with the with a frontend device, in which the nozzles are being installed. The flame tube is bounded by the side cooling walls on both sides. Nine nozzles are being installed in the section. Analysis of the component content (CO, NOx, CH) and combustion products was conducted, and combustion completeness was computed according to the obtained data. From the analysis results the inferences were drawn on the jet-injection nozzle application efficiency, and recommendations were given on the nozzles of selected type installation in the full-sized combustion chamber.

The flows of the high-degree non-equilibrium are of considerable interest at present stage of the engineering development. Such flows are being realized, for example, while the hypersonic flying vehicles flow-around, reentry spacecraft, in vacuum installations and other technical devices.

The basic physico-mathematical model of a gas medium flow is the Navier-Stokes-Fourier (NSF) model. This model is theory-based for weakly non-equilibrium flows, but it can be applied for the flows of a high-degree non-equilibrium. In such flows, the NSF model coarsens the solution. For example, when computing shock waves, the disturbance area is narrowed. The model is short of viscosity. The opposite sign effects are being observed while the gas intensive expansion.

The presented work analyses the processes of the non-equilibrium stresses and heat flows forming at the shock wave front, employing the model kinetic equation (MKE). The hypersonic flow at the Mach number of M_∞= 5 is under consideration.

The article shows that the heat flows gradients, absent in the NSE, contribute mainly to the non-equilibrium stresses forming process. The basic factor of the heat flows development are the fourth-order gradients, which are missed in the model as well.

Several options for improving the viscous properties of the NSF model are under consideration. It is known that in the case of multi-atomic gases a significant effect can be achieved by accounting for the voluminous viscosity in the equations of non-equilibrium stresses. Besides, the voluminous viscosity coefficient allows computing the temperature of the translational degrees of freedom molecules in the first approximation. Defining the shear viscosity coefficient by this temperature, will improve the viscous properties of the model.

The Stokes’s friction law can be obtained by using the moment stress equation as its strict first approximation. If one accounts for the terms of the second order of vanishing in the equation terms, containing gradients and divergence of the flow velocity, , then the shear viscosity coefficient will take a tensor form. The NSF model with this shear viscosity coefficient describes better the processes of viscosity and heat conductivity.

The article demonstrates that the improved option of the NSF model allows obtaining rather wide area of disturbances on the example density, velocity and temperature profiles in the flat shock wave. The profiles shapes differ slightly from real ones. This, probably, is a consequence of the artificial approach to the model improvement.

The article describes the computational algorithm that allows computing the equilibrium composition of combustion products of hydrocarbon fuels in the presence of condensed components. The mixture of combustion products was considered as an isolated system of ideal gas without energy interaction and mass exchange with the environment. Numerical methods and computational algorithms, based on the thermodynamic potentials extremum search, are employed for the thermodynamic equilibrium search. The composition of the combustion products of hydrocarbon fuel in the air may include about 150 possible compounds of chemical elements C, H, O, N, Ar, with condensed phases of C(с) and H₂O₂(с) among them. The article presents specifics of the algorithm implementation with regard for thermodynamic functions at the temperature of the phase transition T_p.

Without this, in many cases, when the temperature value passes through the point T= T_p, the monotonous iterative process is disrupted, which may lead to the algorithm divergence. The results of numerical simulation of stationary equilibrium flow of combustion products of kerosene with the air in a Laval nozzle are compared with reference data. The effect of pressure on the composition of combustion products in excess of fuel was studied. Analysis of the computational results and reference data confirms the reliability of the developed algorithm. The impact of pressure (p = 1–100 atm) on the composition of combustion products in an adiabatic reactor with an excess of fuel was studied. It follows from the obtained results, that the condensed phase (p = 1–100 atm.) is a part of the combustion products at the air excess coefficient α < 0.36, the dependence of the soot concentration on the pressure changes qualitatively with the air excess coefficient changing.

The stability of the eigenvalue problem for two-dimensional laminar and turbulent external flow over a flat plate was numerically studied using the theory of time linear stability. That is, the classical as well as the efficient approach are considered in detail for the eigenvalue problem: two different methods are studied for deducing the spectrum of eigenvalues, namely the finite difference method and the collocation method based on basic functions. The first approach of the physical model discretizing leads to algebraic equations with large matrices that are difficult to solve efficiently, while the second one creates matrices that are usually complete and have a large number of conditions. This problem is being discussed here in the Appendix to the Squire equation, which describes laminar and turbulent boundary layers. The average velocity profile of laminar boundary layers is obtained numerically. The dispersion ratio as a function of the wave number α and other flow parameters for the problem (such as, the Reynolds number) is being defined for two different velocity profiles. The algorithm is realized in Mathematica, and the calculated eigenvalues are being compared between the two different methods.

The linear stability of a small class of engineering problems can be studied by solving the Orr-Sommerfeld equation. The most famous examples of this are the Blasius Boundary layer and the plane of the Poiseuille flow. While the plane flow of the Poiseuille is strictly parallel, in the first case, an irrational argument relative to the parallel mean flow must be called in, in such a way that the system of stability equations, obtained by substituting small wave-like perturbations in the Navier-Stokes equations and linearization of the Blasius profile, will be reduced to the Orr-Sommerfeld equation. A numerical method for solving the Orr-Sommerfeld spectral equation in a two-dimensional boundary layer (β = 0) was studied by the Chebyshev collocation method for laminar and boundary layers. To obtain the spectrum of eigenvalues of the Squire equation for the background field of a developed turbulent boundary layer, a collocation method (pseudospectral) based on Chebyshev polynomials was used. The technique was debugged on the profile of Blasius and Mucker. It is obvious that an increase in the number of Chebyshev polynomials has a significant impact on the accuracy of determining eigenvalues for the Blasius and Miskeg profiles. The impact of Chebyshev polynomial degrees on the accuracy of determining the real and imaginary parts of the eigenvalues of the first mode for laminar and turbulent boundary conditions was considered.

Mathematical modeling of chemically non-equilibrium heterogeneous flows in nozzles of both solid engines and direct-flow engines with solid fuel is an urgent task of rocket engine theory. Such flows have a significant fraction of the condensed phase (possibly variable along the length of the nozzle), and are being initially described by huge reaction mechanisms. These features prevent the nozzle problems solution in a modern multidimensional formulation. These predicaments are being overcome in this article in two ways:

a) The condensed phase is being imitated by the “Large Molecules”, which allows consider it a gaseous substкance and include reactions with its participation in the initial reaction mechanism.

b) The initial mechanism is a priori redundant and includes many reactions that exercise minimum impact on the composition of the working fluid. They can be excluded practically without loss of accuracy in the characteristics computing. For this, various methods for reactions reduction can be used.

The presented article proposes a reduction procedure, consisting of two methods: DRGEP (Directed Relation Graph Error Propagation) and a method of linking with an adaptive threshold. The DRGEP method is focused on searching and removing from the reduced reaction mechanism only the substances with reactions engaging them. If insignificant reactions still remain in the mechanism, they are removed by the engagement method. The degree of the mechanism reduction depends on the reduction threshold ζ_L. The developed procedure requires a small amount of calculations and allows reducing the initial mechanism to a certain acceptable size, ensuring a controlled error in predicting the flow characteristics.

This procedure was applied to the task of reducing the reaction mechanism in the stream of combustion products of metallized fuel C + O + H + N + Al + Cl. The initial reaction mechanism included 33 substances and 68 reactions. The reduced mechanisms were generated at various thresholds of value of ζ_L = 0.02–0.12. For small ζ_L values, the reduction rate is = 5.0–6.5 with high accuracy in the flow characteristics predicting. Further, with an increase in ζ_L, the indicator increases significantly, but forecasting errors significantly rise. In the presented example, the most acceptable mechanism was generated at ζ_L = 0.08.

Aviation transmissions ensure the torque transfer from the rotor to propeller or fan, and accessory box drive in the engines of various types, from the engine to the shaft of the main and tail rotors of the helicopter etc. [1-3]. Aviation transmissions should ensure high strength properties at small size. The dynamics analysis performing seems to be the best tool for these requirements compliance ensuring.

Many scientific papers deal with the gear transmission dynamics. The most meaningful and interesting gear transmission models are represented in the works of Cardona [9], Spitas [12], Qiu [13], Margielewicz [14], and Kubo [19]. Nevertheless, most of them do not account for the linear wheels movement, variable stiffness, interaction between gears and other machine elements, and unfit for the non-stationary dynamics studies.

The article presents a spatial model of the gear transmission capable of accounting for the aforementioned limitations and applicable for the non-stationary dynamics problem solving. The model is based on the Cardona’s model [9].

The model employs Euler vector and the rotation tensor associated with it as rotations description. The final rotation is being decomposed into the accumulated rotation and a small incremental one. This technique allows avoiding the problems associated with achieving exceptional points near the 2p angle [15-17].

The presented model can be employed for performing analysis of the wide spectrum of gear transmissions, such as spur gears, helical gears, conical gears and internal gears. The model allows accounting for the gear mesh stiffness, gear mesh damping, kinematic error of the transmission and backlashes. The gear transmission model can conjoin with the models of other machine elements such as shafts, bearings, cases etc.

The proposed model was verified by several well-known tests.

The article presents the results of computational and experimental study and mathematical modelling of product structural elements while the impact with the solid impediment. The problem of developing effective technique of numerical modelling of three-or dimensional dynamic impact problems.

The finite element method was used for the impact problem solving.

The results of strains and stresses computing were compared, using numerical modelling, with the results of the full-scale test, which demonstrated their validity.

The impact load tests are an obligatory part of the general complex of preliminary field tests of the prototypes of engineering products at the experimental development stage. The basic requirement to the field tests consists in ensuring the equivalence of the impact loading under the field conditions of the product loading while operation.

The validity of the impact loading tests ca be increased by improving testing and measuring equipment, as well as testing technique due to determining impact loads as close as possible to the operational ones.

To reduce the volume of the cost intensive field tests of the products, they are being replaced by mathematical modelling with modern software. The basic requirement for numerical computations consists in ensuring the equivalence of the impact loading while mathematical modelling to the loading under conditions of the field tests. Usually, the correspondence of the testing modes on the velocities and impingement angles, as well as overloads levels in the characteristic zones of the structures are being accepted as the equivalence conditions.

The existing tendency to the intensity increasing of near-Earth space employing by ever-increasing number of states, expanding spectrum and increasing complexity level of the space operations, the expected deployment of the extra-large satellite systems for group space missions are increasing the risks for the space activities associated with technogenic contamination. Optical images are the most informative type of information on the situation in outer space. The article brings up issues concerning preliminary images rejection obtained by the ground-based optical means, unfit for the human operator recognition. Specifics of the space objects surveillance by the ground-based optical means with account for dangers for national space vehicles and manned flights safety are considered. Estimation of the conventional network of optical means is performed. The necessity of performing preliminary rejection of the images, being obtained, prior to the analysis performing by the human operator is substantiated. It is shown that the main post-detector processing method is blind deconvolution of images. The work with the functional of the entropy of the image being restored is required while deconvolution operations performing. Entropy metrics by Shannon, Tsallis, Capture and Rennie were selected for the study. A comparative analysis of the entropy metrics of informativity, which application is in demand when computing the deconvolution functional, was performed. Test images with different visual quality were selected. On the example of real images a possibility of their employing with account of images visual perception by the human operator was estimated. Within the framework of the conducted studies inferences were drawn on the applicability of employing various entropy metrics and the degree of their consistency with the structural-semantic approach of visual perception of images by a human operator. The trends of future studies on determining the generalized metric for the images of such class, as well as applicability of entropy metrics to the processing satellite-obtained data on the remote Earth monitoring were determined.

The article presents description of the model of the test radar signals simulator designed for calibration problems solving of air borne synthetic aperture radar systems (SAR). Control algorithms, employed in the simulator, for forming simulating trajectory signals, which reproduce virtual objects on radar images, are being considered as the subject of the study.

The necessity of solving this problem is stipulated, firstly, by the complexity of SAR calibration for complex objects, employing calibration polygons; secondly, by the lack of a uniform approach to the calibration means development based on simulators, employing the retranslation principle of the SAR probing signal. Thus, the purpose of the article consists in developing a model of the test radar signals, allowing reproducing the target environment with the specified set of object of various structure on the radar.

The proposed model is based on application of the theory of spatial and temporal signal processing in SAR and computer modelling techniques, from which the viewpoint the target simulating trajectory signal is the sum of the reflected signals from the point reflectors in a complex concentrated target. Each echo signal from the point reflector herewith should be computed with account for the position and the nature of the reflection in the specified direction.

The developed model peculiarity consists in frequency correction procedure integration into the algorithm for simulating trajectory signal formation. It allows compensating the geometry violation of the wave front and the change in Doppler frequency spectrum, caused by the objects reproduction at the certain distance from the simulator location.

The result of the work represents the model structure of the test radar signals simulator and the algorithm used in the model for computing the simulated trajectory signal of a complex concentrated target with account for the time delay, amplitude and frequency correction.

The developed model was tested while seminatural simulation of the reproduction process of virtual objects on radar. The seminatural simulation results presented in the work proved the approach correctness and the adequacy of the developed model.

The proposed model can be employed at:

– SAR calibration at different stages of development and design;

– developing of simulators for the signals programming;

– substantiating the trends of methods and means developing of radar systems calibration for the Earth’s surface observing.

The tasks of monitoring, position assessing of the aircraft and interacting with the environment are of great importance in the aviation technology. At large distances, they are being solved mainly in the radio range (radar). At short ranges, the optical range methods are very effective near aircraft, since the wavelength is several orders of magnitude smaller and allows one to achieve high accuracy of the measured parameters.

Movement of various objects, such as a car, and plane, or a helicopter, is accompanied by their interaction with the air. The aerodynamic parameters of an object are necessary for calculating its speed characteristics and determining the possibilities for their improvement. Typically, the aerodynamic characteristics measurements are performed in wind tunnels employing the reduced models of the objects. The wind tunnel has a rather large and complex structure, requiring highly qualified service.

Registration of the aerodynamic parameters of the air medium occurring while the object moving is possible. Similar methods are used for the fuel quality analysis.

Employing the object images distortions allows obtaining all necessary information on the air medium parameters as well as the «clean» sky turbulence by relatively simple technical realization.

Further, a new technique for the fast and qualitative estimation of the moving object aerodynamic properties by distortions of the reference object image under the action of the turbulent wake. A set of reference objects installed along the path of movement allows determine the size of the turbulent wake, the impact of the structural elements of the object and evaluate their role in creating aerodynamic drag.

The illustrations to the article show the effect of a turbulent wake after a car travels on an image of a straight rail mounted on a track of movement. The white rod image blurred in its lower part, which is stipulated by the laminar layer transformation into the turbulent, is shown as well.

1. Analysis of the results of the described experiments allows asserting that the electromagnetic waves of the optical range are sensitive enough to inhomogeneities of the air medium and can be used to obtain information on the “moving object-medium” system.

2. The presented technique can be applied to analyze the aerodynamic parameters of new structural elements mounted on a moving object, without employing complex and expensive equipment.

Compared to the known technique of wind tunnels application, the described technique:

1) does not require manufacturing of a high-precision model of the object being studied;

2) does not require highly qualified servicing;

3) in some cases, an experimental study is possible, wich cannot be implemented in a wind tunnel (for example, for a helicopter);

4) does not require presence of the fastening and information retrieval elements in the working area, distorting the flow;

5) allows building 3D models of the “atmosphere-object” structure using a set of reference rails.

Field programmable gate arrays (FPGA) are widely used in the aerospace industry, both for on-board devices and ground equipment. This paper is devoted to accuracy estimation and synthesis of nonlinear direct mathematical operations on bitstreams (DMOB). DMOB or direct processing of sigma-delta modulated bitstreams is a promising method to reduce the resource area consumption of the FPGA designs which allows to implement complex digital signal processing algorithms on the basis of radiation-resistant FPGAs as well as FPGAs produced by Russian vendors, the logical resources of which are significantly smaller than those of foreign counterparts in commercial versions. The estimates of nonlinear DMOB accuracy which were previously obtained were empirical and covered only a small set of mathematical operations in a limited range of possible implementation parameters. This paper proposes a new approach to accuracy analysis and synthesis of nonlinear DMOBs which allows to implement a wide range of nonlinear digital signal processing algorithms directly on sigma-delta modulated bitstreams providing a given accuracy. The key point of this paper is that nonlinear DMOBs implemented by combining input averaging filters and nonlinear mathematical operation perform linear interpolation of this mathematical operation, and the number of interpolation reference points depends on the filter window. This statement supported by a number of assumptions is analytically proved for a one-dimensional case, and it is experimentally confirmed with regard to a multidimensional case. All the assumptions used in the proof are analyzed in detail, and the conditions of the proposed method of applicability for real projects are formulated on the basis of the assumptions. Solutions described in this paper allow to achieve a flexible compromise on the nonlinear DMOB FPGA core area usage and the computation accuracy. The example of the implementation of bitstream multiplier demonstrates that the proposed solution is superior to the previously known and widely used analogue.

One of the key trends for the environmental and cost performance improving of modern gas turbine engines is the development of low-emission combustion chambers, which realize the concept of lean homogeneous mixture combustion. Pressure pulsations in the gas turbine engine fuel system can lead to unstable combustion in low-emission combustion chamber. The pump rotation frequency varies greatly depending on the engine operation mode. Thus, it is necessary to employ the adaptive Helmholtz resonator, being adjustable to the pump rotation frequency, to suppress the pulsations. In the work being presented, the adjustable element of the dampener was represented by the cavity volume. This study focuses on the developing and experimental studying of dynamic characteristics of the adaptive resonant-type pressure pulsations damper in the frequency range under consideration., An automatic design system was developed in the C# programming environment to perform theoretical studies. The experimental test bench consisted of a pump, a fuel cooling system, a resonator with a piston to change the cavity volume, and the imitation the fuel system. The pressure pulsations prior to and behind the resonator, as well as behind the pump, when the resonator was not installed, were being measured while testing. The resonator volume was being varied from minimum to maximum value. The efficiency of the adaptive Helmholtz resonator was being evaluated with the insertion attenuation factor, which represents the ratio of the pressure pulsations amplitude in the circuit without resonator to the pressure deviations amplitude in the circuit with the resonator. The frequency characteristic of the adjustable resonator efficiency represents the monotonically decreasing curve. The efficiency of the adjustable dampener increased by more than three times at the subresonant, and by more than half times at the superresonance frequencies compared to the non-adjustable one. The experimental data verified the theoretical computations with high accuracy. The adjustable Helmholtz resonator ensures much higher pressure pulsations damping than the non-adjustable one in the entire frequency range.

The military aircraft weaponry includes both guided and unguided weapons, radar and optoelectronic surveying-and-guidance complexes intended for striking both air-born and ground targets and ensuring aircraft defense.

There are known technique and devices for aircraft weaponry control, which perform the target detection and capture, determine its parameters, choose the weapons and perpetrate its preparation and launch.

The disadvantages of the above-described systems consist in the fact that the weapon control in conditions of the covert target surveillance is not being ensured.

Selection of the channel with the passive type radar means as a leading channel of the weaponry control system ensures discrete operation mode for the active type radar means of the slave channel of the weaponry control system. The mode of periodical measuring of the range on target herewith, being followed by the radar means of the leading channel of the weaponry control system, with transition to the continuous position finding at achieving the preset range or by the crew command. It ensures the possibility of covert target attacking at its capturing.

Identification of the targets being followed by the radar means of both leading and slave channels of the weaponry control system is performed, in the absence thereof the reset mode of capturing by the radar means of the slave channel of the weaponry control system is set. By this, the probability of the target tracking and the aircraft interference immunity is increased.

Targets identification is realized by comparing the absolute value of the angular coordinates difference of the target viewfinding by the radar means of the leading and slave channels of the weaponry control system with the preset threshold. With this, exceedance of the above mentioned threshold is conceded only during the set time interval.

The stealthiness of the passive radar stations operation ensures higher viability under combat conditions due to the hampering of their detection and jamming.

However, unlike the active detection and ranging, active detection and ranging does not allow obtaining the object range by the data of receiving signas from the single station. This is undoubtedly a serious disadvantage.

Analysis of the methods ensuring indirect determining of the targets’ range and motion speed was performed. It is necessary to utilize the joint results of several (more than two) tracking stations, removed from each other by the known distance, and any of the

The kinematic distance measurement method (KDMM) being used while working with only a single target is known. The KDMM is realizing one of the information restoring methods, and it comes into action if other information restoring techniques are unavailable. The information about a target is being by the angular coordinates in the vertical or horizontal planes with the supporting height. The results of the KDMM modeling show that the absolute error of distance measurement makes up from hundreds of meters to several kilometers.

The purpose of the work is consists in accuracy increasing of the the range and speed of aerial target movement determining in the covert surveillance mode.

To eliminate the KDMM shortcomings the method of covert determining the target motion parameters is proposed. Its essence consists in obtaining the target motion parameters based on solving the vector equations that associate the range, speed, and bearing of a fighter-interceptor with a target. To obtain herewith the parameters necessary for the equations solving the interceptor should perform certain maneuvers.

The modelling results analysis of the proposed method and algorithms realizing it allows making the following conclusions:

— the method ensures the much more accurate distance-to-a-target computing;

— the maximum error value is below the resolution range level of the onboard distance measuring devices.

The suggested algorithms for determining the target range and motion speed are approved with the semi-natural complex composed of the thermal direction finder, target simulator, microcomputer, interface with the personal computer, and the programmed-mathematical support.

The technique for evaluating the effect of measuring resolution of the track angle, flight-path angle, and velocity variation dynamics on the target motion parameters determining accuracy is suggested.

While semi-natural tests conducting it was determined that the suggested technique and algorithms are efficient in general. Practical computations on determining the range to a target demonstrate that the errors introduced by the computing process significantly increase, if the Gauss method is being used for the task on the forward motion and the rational selection of the reference element is not accounted for. At the same time, the instrument errors impact can be significantly reduced by the reference element rational selection at each step.

A technique for target detection was suggested for the case of decoy flares employing. The technique consists in

– the airborne target detection,

– selection of angular speed of optoelectronic module (OEM) guidance by the crosshair superimposition on the target on the screen,

– transferring the OEM to the automatic target guidance mode,

– measuring current target range,

– converting the digital code of range into the video signal, displayed of the screen in the form of the digital caption.

The following factors are additionally determined:

– angular velocities of the target motion by measuring the time intervals of the target shifting relative to the preset angular positions;

– angular accelerations of motion by evaluating dynamics of the target angular velocities;

– dynamics of angular accelerations changing by subtracting the subsequent and previous values of the angular accelerations of the target.

With this, the following factors are recognized:

– the target tracking, if the values of change in dynamics of the angular accelerations of the target motion are less than the set value;

– the decoy flare tracking, if the values of change in dynamics of the angular accelerations of the target motion are more than the set value.

In this case a man-portable weapon complex gunner receives the information capturing the decoy flare.

The purpose of the article is efficiency increasing of the unmanned aerial vehicle (UAV) application based on the feasible selection and realization of rational control method.

The article considers the UAV application as the object of research. The subject of research is the UAV control methods.

The relevance of the topic in the modern military-political situation is determined by ensuring the State security in the field of military development, on the assumption of the existing threats. At present, UAV is the most important component of weapons, military equipment, automated reconnaissance and information transfer systems. Its application can significantly increase the efficiency of troops command and control, increase combat capabilities and combat means effectiveness.

The article presents a methodology for the UAV application effectiveness evaluating and a technique for the UAV control methods forming. The dependence of the orrect frame reception probability on the signal-to-noise ratio for a system with addition and with auto-selection is demonstrated. Recommendations on the UAV control method selection are given.

The practical significance of the article consists in the following:

– the developed technique for evaluating the UAV application effectiveness describes more accurately the conditions for receiving messages and allows compare radio channels with various characteristics (type of modulation, type and parameters of the noise-immune code, etc.) at the information receiving point, and perform the performance indicator computing of the UAV control methods;

– in supplement to the known methods, the developed technique for rational UAV control methods substantiating allows accounting for the dynamic characteristics of a random process, determine the exact parameters of the radio channel, and increase the reconnaissance depth (ensuring herewith the required survey resolution of the required probability of the correct frame reception and the given stealth).

It is advisable to use the obtained methodology when planning the use of UAVs with the aim of transmitting information over the radio channel with signal fading.

The article analyzed the theoretical model of the system for protection of the automated communication control system (AССS) against accidental hazardous impacts, representing a threat to the aircraft control systems. The tasks for realizing systematic approach to solve the problem of ensuring the ACCS adaptive protection.

The simulation model for the AССS protection against hazardous impacts, employing the queueing theory, is considered. The article analyzed the properties of simulation modelling systems, namely GPSS World. The article presents also a mathematical model of the protection system and reviews the functions of its components.

The article used Kendal-Basharin representation for formal presentation of various options of the AССS protection organization against hazardous impacts. Model restrictions, which represent a function of loss for the untimely users requests compliance were considered

The task of the most rational organization of the ACCS functioning was put forward in the article.

From the performed analytical work the inferences were drawn that it was not rational to use the method of simple sorting of all possible options to obtain the optimal option of the ACCS adaptive protection system. There is a necessity to employ a combined algorithm of the directional search with the penalty of randomness together with static tests.

The topic of this work relevance is stipulated in the first place by the necessity to develop new methods and ways for the ACCS protection from the hazardous impacts, used for the aircraft control, for example, in case of the control interception prevention.

This technique allows performing application planning of:

- The new military-purpose complexes, namely, small-class unmanned aerial vehicles (UAV SC),

- New weapons, such as free-falling unguided containers (FFUC), charged with the small caliber and capacity ammunition for damage inflicting to easily vulnerable ground objects.

The FFUC application specificity is its discharging from the carrier as a large-caliber ammunition, which requires special attention while the targeting point selection. The presence, in its turn, of asymmetrically located and different by their importance elements as parts of the ground target contributes to the several targeting points’ selection and, hence, determining rational direction of the approach.

Thus, for example, when employing large-caliber weapons against long narrow targets, it is necessary to select a certain rational angle of approach. At the same time, if the small-sized ground based objects are being attacked with the weapons, which scattering characteristics do not commensurate with the target size, the approach direction selection makes no difference, and targeting is being performed to the center of a target. The FFUC specifics and scattering parameters allow recognize “an aircraft on the open flying line” as a stretched area-type target with asymmetric location of the unequal by the damage probability and damage-inflicting scale vulnerable areas, rather than a small-sized single ground object.

Thus, the newly revealed property of the object of striking should be accounted for while rational selection of the target approach direction by the UAV CS and target striking by the FFUC.

The gist of the developed technique consists in the following:

- The ground target decomposition on n vulnerable zones, when the areas of these zones fit into the total area of the object;

- Criterion selecting (recovery time of the damaged units of vulnerable zones), and indicators defining (labor costs required to replace units of vulnerable zones) of damage inflicting risk for a ground target;

- Risk weight factors determining for each vulnerable area by the expert assessment method (Thomas Saati hierarchy analysis method);

- Determining probability of vulnerable zones hitting with the FFUC, with account for the targeting point disposition in range and direction, and the UAV SC accuracy characteristics;

- Employing the analytical expression of integral risk (the first multiplier is probability of the FFUC hitting the vulnerable zone, and the second one is the risk weight factor for each zone) for risk value determination when targeting point shifted by one step in range and direction for each iteration;

- Creating three-dimensional dependence (surface) of the integral damage risk on targeting point position on range and direction;

- Selecting rational direction of target approach as the result of revealing several local extremes of the integral risk function.

Thus, the target approach at the angle to the central axis of the ground-based target justified by the proposed technique ensures 20% increase in the inflicted damage compared to the target approach along the central axis only.

Currently, the unmanned aerial vehicles (UAV) are widely used throughout the world as means for monitoring, creating maps, optimizing agricultural activities, monitoring fire being dangerous areas, power lines surveillance, logistics, etc. The multirotor-type UAVs are widely proliferated due to their structural simplicity and the ability to both flying at near zero speeds and maneuvering with high frequency.

One of the most important tasks at the early stages of the UAV design consist in studying dynamic characteristics of alternative design options of the vehicles with account for their design characteristics. The state-of-the-art computer engineering systems are able to implement the end-to-end process of designing and linking solid-state UAV models with adaptive dynamic models and their operation in various modes by transferring design parameters obtained in CAD systems, directly to the simulation environment of the flight control systems. Of particular interest is the set of tasks associated with control algorithms developing to ensure the UAV normal operation under the impact of external disturbances.

The article proposes an approach to the solid-state and dynamic computer models linking of the unmanned aerial vehicle of the “quadcopter” type at the early stages of the design using Solidworks and Simulink/MATLAB software packages. The model designed in the Simulink/MATLAB environment allows evaluating the developed systems for an aircraft stabilization and control for the UAV, implemented according to the “quadcopter” aerodynamic scheme without starting the quad copter itself.

The discrepancy between the results of the computer model with full-scale tests is 2.3% for the pitch angle, 2.5% for the roll angle, 6.7% for the yaw angle and 3.7% for the height. The obtained high accuracy of the models conformity proves the possibility of applying the method for the automatic control system designing presented in the article.

The article proposes creation of a global lunar optical navigation system based on light beacons located on the lunar surface, operating at two wavelengths. This system, based on optoelectronic devices on spacecraft and light beacons, will allow obtaining a high-precision navigation system both on the Moon surface and in near-Moon space.

Previous articles analyzed in detail the required number of spacecraft to create a radio-technical lunar navigation system and showed that this would require a grouping of eighteen navigation lunar satellites, and a complex data management system for this structure.

The beacons application allows create a lunar navigation connected system (LNCS) on new principles, which allow doing with a minimum number of navigation satellites. In addition, such system is needed, which can be built-up stage-by-stage from the local system (created for a separate lunar area) to the global one (over the entire lunar surface), and from periodic possibility of the object positioning to the twenty-four-hour one with high measuring operativeness.

The main purpose of the global optical navigation system based on a two-wave system of light beacons, being deployed on the lunar surface, is maximizing accessibility for the LNCS spacecraft in any circumstances. Application of two types of the light beacons, namely ultraviolet and infrared bands will allow observe the reference beacons by the spacecraft from both the Moon orbit and being placed at the Lagrange point. Ultraviolet emitters will allow reduce noises and exposure by the Sun radiation while the beacon surveillance by a spacecraft, while the infrared radiation will be able to pass through the Earth atmosphere for registration by the Earth-based telescopes. The proposed navigation system based on measuring optoelectronic devices located on the spacecraft and light beacons on the objects being positioned will allow high-precision navigation system, which will ensure spatial positioning of the objects on both lunar surface and near-Moon space.

The presented article considers an algorithm for a strip deformation in conditions of a plane stress state, which is represented in the form of the stage-by-stage transition from continuous to discontinuous deformations speeds field. This problem solution is described by mathematical model of a rigid-plastic strip, made from various structural materials. Pre-eminent deformation speeds field is being determined depending on the billet material, which allows determine the process of the material origin and destruction as early as possible. The result of this work is deformation speeds field, as well as optimal E1 value determining, allowing characterize preferable flow selection depending of the material, from which the sample was fabricated.

The article also offers computation of force values, occurring while a flat sample deformation at various stresses values. A possibility of pre-eminent deformation scheme selecting is originating whereby depending on the material, which is used for the sample producing. The plate geometry changing is considered as one of the deformation parameters. Depending on the proposed approach to the deformation state, a stage is selected, at which a flat sample either obtains a neck shape, or is being deformed without it up to the material rupture. To the author’s opinion that this method can be implemented in various fields of aircraft building, machine building, material science etc. Employing the presented approach it is possible to study and obtain deformations of various structures while deforming during operation process, consider critical deformation zones and timely eliminate micro cracks and subsequent material destruction. This approach can be widely applied while examining aircraft skin, engines blades, wheel pairs of the train set etc. The data of the studies can prevent not only damage of various apparatuses, but also catastrophes associated with metal fatigue and destruction of the elements and entire structures. It is micro cracks evolution detection that will lead to optimization and their life span enhancing while of various apparatuses operation.

The article regards the problem of a beam dynamic loading by an impact body in the presence of an intermediate damper, namelly, a spring of a given stiffness. The purpose of the study consisted in determining the joint motion of a mechanical system of a beam-spring-body type, neglecting herewith the spring mass. The beam movement is being modeled by the equations of the plate cylindrical vibrations. The obtained equations for the joint movement of the beam–spring–body system consist of equations for the beam deflection and the equation of the body motion, with account for the spring stiffness. The system of equations, modelling the motion, consists of a fourth-order partial differential equation in coordinate, and a second-order equation in time, one of the boundary conditions of which is an ordinary second-order differential equation in time. The problem is solved by the integral Laplace transform method in time. The Durbin numerical method is used for the obtained solution inversion. Graphs of solutions, allowing observing the body behavior and calculating the beam deflection at a time instant, were plotted using this method. The graphs of analytical and numerical solutions coincide for small initial times. The dependence of the sought functions on the main parameters of the problem, such as spring stiffness and the beam bending stiffness, is demonstrated as well. It can be seen from the illustrating graphs that the beam deflection and body motion functions are directly proportional to the spring stiffness, and inversely proportional to the bending stiffness of the beam.

The presented article considers the temperature regimes while flowing-round the transported axisymmetric bodies, which internal temperature is limited. Conditions at which axisymmetric bodies’ transportation happens are represented by the negative ambient temperature and air medium disturbances. The necessity for minimizing the impact of the external ambient effect on the state of the object being transported arises while this problem analysis. The air medium disturbance impact on the object is assumed being in horizontal plane. The set problem was being solved by modelling the solid body flow-around in gaseous medium, including non-stationary heat transfer, employing finite element method. The problem of external ambient static temperature impact was considered to evaluate external factors effect on the axisymmetric body transportation conditions. This problem was solved by modeling non-stationary heat transfer using the finite-difference method. Materials applied in aviation engineering were selected as an axisymmetric body material.

The results of the study demonstrate that cooling time of the axisymmetric body without air ambient disturbance passes faster. It can be assumed that with increasing of the air flow rate, acting on the solid body (excluding the airflow drag effect at a nose portion), its cooling time will be less. Axisymmetric body materials with poor thermal insulation properties compensate rapid body cooling by heat transfer with the external environment (if we consider the temperature regime with air ambient disturbance), in contrast to the axisymmetric body of material with high thermal insulation properties.

Geometry changing impact of channel-slot charge while its burning on inner-chamber processes execution in flow ducts and pre-nozzle volume of the solid propellant rocket engine are being studied by mathematical modelling techniques. Setting of the conjugate problem of heat transfer in the flow ducts and pre-nozzle volume of the rocket engine combustion chamber with channel-slot solid fuel charge is presented. Numerical schemes and algorithms are being described. Mathematical modelling is being executed based on fundamental system of differential equations of viscous compressible heat-conducting gas movement. In spatial setting, solution of the problem under consideration is performed numerically using finite volumes method with account for the Rhie-Chow correction. The second-order of accuracy counter-flow scheme is employed for inviscid flows discretization, while the second-order of accuracy central scheme is applied for viscous flows. The system of difference equations is being solved by the algebraic net method, and a conjugate gradients method is applied herewith to accelerate its convergence. Various positions of burning dome are being considered while the engine operation at the static section. Profiles of longitudinal velocities components at the charge slice are being compared. The article analyses topological specifics of the combustion products flow, characteristic to various burning dome positions, and singular points are being characterized on the nozzle-cap assembly and near the charge grain-end. Thermal flow density near the structural elements of the combustion chamber is being studied. It was revealed that diameter increasing of the thermal flows channel led to maximum density decrease of thermal flows in the exceptional point and separation zones on the nozzle bottom by 2.04 and 3.6 times respectively. The article demonstrates that with the channel size increase, the decrease of velocity absolute values at the channel cut by 2.2 times is observed. As the result of the inner-channel processes analysis in the pre-nozzle volume of the solid propellant rocket engine, criteria equations for thermal flows evaluation near the exceptional points on the nozzle-cap assembly and the charge grain-end were obtained.

The presented article reflects the problem of studying impact interactions in aviation structures. Engineering techniques development on studying the causes of highly-dynamical processes occurrence is a topical task from the viewpoint of application and operation safety of these or that aviation structures. The above appointed techniques are aimed to studying conditions, at which contact interaction of the two elastic-plastic bodies occurs. This article purpose consists in generalizing engineering approach to the processes studying, which could lead to impact process in aviation structures, and it, in its turn, to the hazardous or emergency situation.

Impact interaction of the two elastic-plastic bodies, i.e. internal impact of the metallic plug on the fuselage load-bearing element of the “stringer” type, act as a subject of studies. Due to the contact of the two bodies, stressed-strain state of the load-bearing element is being considered to obtain qualitative estimation of the power factors, impacting on the colliding elements. The article presents the algorithm for studying impact interaction, as well as numerical modelling of the two elastic-plastic bodies’ impact.

Based on the numerical modelling results, operation of the algorithms for impact interaction study is shown, and displacement and deformation values matching criterion in the damaged area nodes was refined.

The article presents the off-line tests technique for spacecraft onboard radio-electronic devices. These tests allow accomplishing the ground-based experimental finishing of the onboard instruments. The authors suggest to perform the off-line tests in the framework of the design development test for the samples that passed the acceptance testing. Microprocessor temperature controller was selected as a testing object.

The following test objectives were determined as basic ones:

- substantiation of the samples operability in conditions of external affecting factors imitation close to real ones;

- evaluation of samples correspondence to the design specification and technical conditions requirements on the prime item;

- substantiation of schematic and design solutions for the required liter (0) assigning;

- technological documentation development

- substantiation of the electronic components base and other parts application.

The article describes dedication and structure of the device. The device consists of three identical channels. Each channel contains microcontroller and performs the following functions:

- signals receiving from the contact sensors;

- scanning contact sensors, temperature sensors, and potentiometric resistance transducers;

- receiving eight-bit code from digital sensors;

- forming control instructions;

- receiving “on”, “off” “interrupt” and “reset” instructions;

- forming voted clock pulses;

- performing information exchange through multiplexor exchange channel;

- performing information exchange through RS-485;

- generating telemetric parameters in the parallel code form.

The device is being set on honeycomb panels in the spacecraft non-pressurized compartments. Analysis of technical conditions on the device and previous tests results was performed for the tests modes selection. The technique envisages fourteen types of tests. The study of the tests sequence impact on their efficiency was performed. Selection of both equipment and testing impacts was performed. Algorithm of these tests performing was suggested. Metrological substantiation of the selected test equipment was given.

Tests under normal climatic conditions and rated voltage were being held after the design development test stage completion. Technology trainings were bing performed before acceptance tests.

The authors suggest performing functional test under normal climatic conditions in the following sequence: technical inspection; control of mass; transient resistance measuring; electrical and input circuits check-up; isolation resistance measuring, and functionality check-up in manual mode.

Vibro-bench tests successively in three mutually perpendicular directions are necessary for structural elements resonances detection. Optimal test modes are presented. TV-59349/AIT-440 Vibro-bench was chosen for their realization. Control sensor is being applied to confirm the absence of resonances at the frequencies up to 25 Hz.

The article presents the results of the device testing according to the proposed technique. Comments on design and technical documentation are described. Verification of the test technique, which confirmed the high quality of test algorithm, was performed. Testing time was reduced by 8%. Expert evaluation by the Delphi method revealed that the proposed option of the off-line tests will allow reducing the test cost by 10%. Changes were introduced into design documentation and operation modes chart of electric parts by the tests results. Manufacturing route of the device production was corrected.

This article describes a mathematical model of a communication system based on selected signals and architectural solutions. This allows for statistical numerical modeling of both the reference channel with additive white Gaussian noise and real channels selected under conditions. An overview of methods for improving the reception characteristics of noise-like signals and the use of noise-resistant coding methods is given. The issues of creating a system prototype, software development methodology for heterogeneous systems, and debugging and testing of the end device were touched upon. Characteristic of a broadband signal system is being described as stealth, methods for its determining, and an example of calculation for the created communication system.

Communication systems with broadband (or noise-like) signals attract attention of specialists due to the combination of their characteristics such as their ability to operate in conditions of multipath propagation of radio signals, multiple access organizing, etc.

There is a problem herewith of power adjustment (a near-far problem), which is solved by centralized synchronous transmission in the downlink channel from the base station and adjusting the power of the subscriber station transmitters in the upstream channel to equalize the power at the receiving point. In the decentralized mode of operation without base stations, this problem has not been solved, especially at the possibility of subscribers’ mobility. In addition, a system with direct sequence spectrum expansion experiences significant degradation of performance when operating in asynchronous mode, i.e. at random time of transmission of pseudo-random sequences (PRS) in the ether. Communication system organizing possibilities in this case are determined by the cross-correlation properties of the used PRSs, which complicates significantly their search, and often generation and detection.

However, operation of multiple subscribers in the same band and in the same radio visibility zone can be organized by introducing an additional time division by introduction of the expanding PRS. With this, to increase the transmission rate, it is necessary to ensure signals transmission of from one subscriber to several at once, which can be guaranteed only due to the good correlation properties of the expanding ensemble. In this case, a timeslot is allocated to each subscriber in the personnel structure, which is set by a dedicated subscriber station, called a binding station, and a group of PRSs. Radiating to the air several PRSs simultaneously, the subscriber can transmit data to the address of several subscribers. With this, the PRSs discriminability at the reception is ensured by good characteristics of the employed expanding sequences, and the near-far problem does not arise due to the equal signal capacities for different subscribers with their principal equality at the transmission point.

The article considers a method for “suboptimal” routes elaborating for different-type sources monitoring by an unmanned aerial vehicle (UAV). Currently, unmanned aerial vehicles equipped with optical monitoring and radio monitoring tools are used to solve the problem of searching, detecting and coordinates determining of various objects, including radio sources, in remote areas. This is due to the possibility of the direct barraging over the areas of the proposed search objects location. These problems solution requires the UAV optimal movement route, due to the limited resource of its energy carriers. It is quite obvious that the shorter the travel time between optical monitoring areas, the more areas can be surveyed in a limited time. ll in all, it leads to the higher the probability of more searched objects detection and higher the overall monitoring efficiency. However, the majority of scientific and research papers devoted to monitoring systems effectiveness improving with UAVS consider this issue superficially, or not at all. In this regard, the study of UAV flight routes optimization when monitoring sources is quite an urgent task. In the article, the “suboptimal” routes are understood as routes that ensure local extremum in the area of minimizing the UAV movement time between the specified monitoring areas under the impact of dynamically changing air masses movement and with a fixed performance of the UAV power plant. The route geometry impact on the accuracy of determining the radio sources coordinates is shown. Based on the simulation results, these factors impact on the monitoring routes elaboration is estimated. Comparing the results of the flight duration on routes, elaborated according to the developed method, relative to routes elaborated without account for the considered factors, demonstrates a gain in the flight duration reduction by of 5–7% on average, while sustaining the acceptable level of the geometric factor impact on determining the radio sources coordinates.

This paper introduces new circuitry solutions for protection satellite electronic equipment from space environment which can damage electronic system and crush expensive space mission.

Of particular importance is the ionizing radiation of outer space from various sources both inside and outside our solar system. The functioning of satellite electronic equipment is influenced by several factors include galactic cosmic rays (GCR), trapped protons, trapped electrons, solar energetic particles (SEPs) and Van Allen Belts. The radiation effects of space environment can not only cause degradation, but also disable electronic and electrical systems of the satellite equipment.

To ensure the reliability of the electronic circuits of the on-board equipment, it is necessary to determine the total accumulated (full) dose of radiation «TID» (Total Ionizing Dose), including exposure to charged single particles (single radiation effects (SEE) (Single Event Effects) causing single failures), – forming the radiation medium at a certain height and orbital orientation during the spacecraft flight. Even on high-altitude commercial airliners flying along polar routes, documented cases of avionics malfunctions due to radiation from outer space were recorded.

To reduce the effect TID and SEE, it is proposed to consider circuitry solutions that can prevent premature failures of the satellite electronic equipment exposed to space environment.

Circuitry solutions to parry probable satellite electronic equipment failures (due to the action of heavy charged particles, high-energy space protons and dose exposure) provide a reduction in the effect of breakdown currents on the semiconductor elements of large – scale integration (LSI) and very large – scale integration (VLSI) in satellite equipment.

The onboard computer (OBC) belongs to the basis of the spacecraft control system (CS). It consists of several computational units (faces) duplicating each other. Thus, the spacecraft faultless performance depends upon the OBC operation normativity.

The OBC operation normativity is determined by many criteria. One of the most important of them all is correspondence of the onboard software modules (OSM) operation times to the specified values. The thing is that the CS being considered is the system of the “rigid” real time. The OSM operation times at the OBC faces are being strictly regulated by the cyclogram of its operation. The specified time-frames exceedance may lead to the system failure and spacecraft loss.

Information on the program modules operation completion at the OBC faces are being stored in the telemetric information (TMI) in the form of values the corresponding flags. The TMI contains also a vast volume of other information. Besides, the TMI data representation format is rather inconvenient for human perception. Thus, the approach, at which the operation times analysis is being performed by the TMI files parsing by a human is utterly ineffective, and leads to the great time and labor consuming. Due to this, the task of this analysis automation emerged.

The article suggests the algorithm for this task solving, i.e. automation of this kind of analysis. Based on the suggested algorithm a special software, realizing it, was developed. The development was being performed with C++ employing the QT platform. The application is provided with graphical interface and outputs the results in the form of a table in the separate file. As the result, the developed software simplified significantly such analysis implementation.

The article covers the final stages of addressing the problem of requests prioritizing for communication sessions performing with scientific and socioeconomic spacecraft, on which the solving methods for main areas of concern on conflicts arising from the engagement of the spacecraft ground control equipment, substantiated in [1], are realized. The initial information for data preprocessing for priority values computing are expert data in the form of Hierarchic Structure (HS) and Relational Matrix (RM), transformed into Comparison Matrices (CM), reflecting the results of qualitative expert estimates scaling into quantitative ones. The order of HS, RM and CM generation is specified in referenced documents [2] and [3].

To validate expert estimates scaling in the form of comparison matrices the last ones are being checked for conformance from the viewpoint of each expert judgments and opinions of the group of experts.

Generalized values computing of HS elements weight factors and requests priorities values for spacecraft communication sessions is performed based on the expert-specified consistent private data on the criticality of factors represented in the form of HS and affecting the conflicts solving procedure.

The developed formal models will allow for complete automation of the request prioritizing process for spacecraft communication sessions, as well as enhance the decision-making promptness and validity of the decisions made to resolve conflict situations.

The task of this work is mathematical and simulation modeling methods implementation at the stage of the design documentation development for electromechanical steering gear to determine its parameters and study characteristics.

Mathematical model of electromechanical steering gear with power stage, consisting of DC motor and reducing gear, representing a wave gear with wave generator was developed. A simulation model based on the electric drive functional diagram and differential equations, describing its operation, was developed in MATLAB Simulink. The study of the steering drive was performed with the developed simulation model. The values of static error of bringing the steering surface to the preset angle, and actuation time and steering speed at various set deflection angles and hinge moment value were obtained.

A prototype of the steering gear was developed and manufactured based on the conducted studies. Electric motor and reduction gear parameters of the steering gear prototype were determined based on the simulation results and refined while designing.

Experimental studies of a prototype steering gear were performed. The time dependences of the steering surface angle of rotation were obtained at various values of the angle being set and without steering surface loading.

Experimental study of the steering drive prototype confirmed its operability.

A comparative analysis of the simulation results and experimental data obtained from the steering gear prototype was performed. It was established that the simulation model reliably reproduces characteristics of the prototype of the object under study.

Thus, the developed mathematical model allows studying the electromechanical steering gear operation and obtain visual results of the system behavior at various conditions and operating modes.

Experimental studies of the created steering gear prototype demonstrated good convergence the simulation results and the experiment, which confirms the adequacy of the developed model.

Application of the developed simulation model while the electromechanical steering development allows saving time and overall cost of product by identifying problems and possible errors at the very beginning of the project, as well as reducing the development effort.

The article suggests the mesh-building technique algorithm improving for program modules testing as a part of the software for the flight mission computing and monitoring based on the input data priorities building.

The software support for the flight mission computing and monitoring (hereinafter referred to as SSFMCM) consists of a set of interconnected elements (program modules) [1]. A program module (further PM) is a functionally completed software implementation of a SSFMCM partial task (algorithm). Development and testing of the above said program modules may be realized by the special program tool (BTTesting) application [2-7]. Testing methodology (automated investigation testing [8-15], and calculations automation in aerospace engineering [16]) embedded in BTTesting implies a computational grid formation based on the input data priorities building of the PM being tested.

A testing methodology implemented in BTTesting (automated explorary testing [8-15], automation of analyses in aerospace industry [16]) means the generation of a computational grid on the basis of the attachment of priorities of input data of a PM under test.

The input data priorities building technique and computational grid generation algorithm were presented in [3]. The above appointed algorithm allows increase the number of testing steps for the input parameters with higher priority (the higher the perturbation of the resulting data, the higher its priority). However, the resulting data perturbations depending on the input parameter region variation is unevenly distributed. Knowledge of the above-appointed dependence will allow generation of the computational testing grid with uneven (discrete) step and, thus, increase the number of nodes in the regions with maximum deflection of the resulting data.

The article presents the algorithm for building the above mentioned dependence and discrete computational grid based on the assumption that the highlighted domains (with higher variations of the resulting data) contain maximum number of faults (incorrect decisions).

The developed algorithm allows compressing the testing grid within the input data areas variations leading to maximum deflection of the results, which allows obtaining the greater number of incorrect solutions per the same time unit, and, thus, employ the time resources allocated for testing more effectively.

The solution searching area formation by the parameters of shipboard aviation systems of the aircraft carrier, and system of preferences and principle of optimality formalization is rather complex optimization problem. Such system of preferences, which the Customer was being governed by, was being completely revealed in the process of analysis and sorting of concretely claimed alternatives of requirements. By formal instructions employing, it was possible to achieve only approaching to those optimality principles, the Customer operated while the system appraisal and decision-making.

In the methodological aspect, the analysis of the shipboard aviation systems is being set by the categorical algorithm of the system research by the “effectiveness–costs–time” common criterion, unfolded in the organizing-system aspect while the aircraft carrier operational functioning as a complex organizing-technical system within the limits of its lifecycle. The basic methodological aspects of the shipboard aviation system of the aircraft carrier external design, invariant to all stages of system optimization are activities focusing, organizational flexibility, multi-functionality, and operational functioning intensity commensuration to the aircraft carrier, i.e. target function.

The requirements for the quality indicators of shipboard aviation systems should be formed in the tactical and technical task to exclude the possibility of their ambiguous interpretation and subjective assessment of the quality of the systems.

The optimization process should be aimed at creating (developing) more efficient and less expensive shipboard aviation systems, and improving functioning quality of the existing systems, avoiding the exhaustive search and evaluation of possible options for shipboard aviation systems and the Aircraft Carrier design.

It is the system-dialectic and organizational-system aspects of external design that represent the basis of the criterion unity (“cohesion”) of optimization, evaluation and adoption of optimal design decisions during the creation, testing and operation of an Aircraft Carrier.

In logical terms, this approach to optimization problems solving summarizes organizational and system optimization regularities, the gist of optimization criteria, and reflects the requests of the design, management and organizational practice of the creation and trials of an Aircraft Carrier.

For the first time, the dependence of the frequency non-reciprocity occurring in Zeeman laser gyroscope when the magnetic field of a permanent ring magnet is applied to its active medium was studied with account for the dispersion function nonlinearity of the active medium and non-uniform distribution of the magnetic field along the active medium.

The magnetic field non-uniformity always presents in the non-reciprocal device of Zeeman laser gyroscopes due to the peculiarities of the field distribution of the permanent ring magnet and the monoblock laser design.

The presented work demonstrates the presence of maximum in the dependence of the refractive index on the strength of the magnetic field applied to the medium.

The longitudinal magnetic field non-uniformity of the ring permanent magnet leads to a significant decrease in the amplitude of the frequency bias in the Zeeman laser gyroscope.

The presented work allowed experimentally determine the longitudinal magnetic field non-uniformity.

A technique for evaluation of the frequency bias maximum possible amplitude, which can be obtained in the Zeeman laser gyroscope while its implementation in non-reciprocal device of the ring permanent magnet for the longitudinal magnetic field creating was suggested.

The article studies the issue of scalability and fault tolerance ensuring of robot control systems. Based on the analysis of the existing approaches in robotics, a set of techniques is proposed for ensuring the required fault tolerance level, as well as a control system scaling model based on them, which allows employing unified design principles for robots of various sizes and purposes. Creating and scaling robots according to this model allows maximal employing of all previously obtained results, and accelerating creation of the new market-ready products and their upgrade in the future. The model simplifies significantly conversion between various robotics areas including industrial, mobile, aerospace etc. In the course of the conceptual model description the author formulates further trends of research necessary for its realization. The suggested concept fully serves the Industry 4.0 ideology, when specialization of each product with preserving the fast time of its market entry rather than the possibilities of mass serial production, even customized, comes to the foreground.

The article is devoted to the problem of temporary fasteners arrangement optimizing while aircraft assembly. Fastener number minimization keeping the final product assembly quality is one of the key factors of production intensification in the aerospace industry. The total labor intensity of the airframe assembly process, as well as extensive manual labor employing make the entire manufacturing process of the product multi-stage and time-consuming. Production acceleration requires its intermediate stages optimization.

The article presents three different settings of temporary fasteners arrangement optimization problems, which are studied further at optimization of a certain initial arrangement for the airframe assembly model. A gradientless technique based on local exhaustive search is considered as an optimization technique. Several specifics of the problem under consideration contributed to this technique selection. Firstly, the optimization problem being considered is combinatorial and relates to the NP class. Correspondingly, it is not possible to calculate derivatives, and global optimum can be found by the exhaustive search technique. The local exhaustive search, in its turn, does not require derivatives calculation of the target function. It is based on the idea of the exhaustive search of solutions in the diminished area and consists of independent iterations, as well as allows make modifications into optimization criteria and modify the target function.

Setting of the optimization problems, and the technique, described in the article, are being tested on airframe assembling model. Various multi-criteria optimization problems are being considered and tested, which application is aimed at avoiding the impact of the parameters, being set by the general problem setting, on the result. The article demonstrates that even two different target functions combination ensures more qualitative and stable results.

One of the tasks that should be solved while the near-moon space development is the task of navigation and ballistic support, which includes the initial conditions clarifying for measuring satellites current navigation parameters.

The rational technology for current navigation parameters measuring seems to be sequential conducting of four to five sessions by one to four means, located evenly on the visible part of one turn of the spacecraft orbiting the Moon. As the result of the conducted current navigation parameters measuring, the achievable accuracy of the initial conditions of the lunar spacecraft is being estimated by measuring current navigation parameters by the selected technology.

In accordance with the technology for performing current navigation parameters measuring, a methodology for accuracy assessing of obtaining initial conditions of the spacecraft position by current navigation parameters measurements has been developed. The methodology is based on obtaining range and radial velocity measurements at the specified intervals of current navigation parameters measuring, and their processing by the least squares method to obtain estimates of the initial conditions of the spacecraft motion. To obtain errors sampling of the spacecraft position while current navigation parameters measurements processing Monte-Carlo method is used, which essence is reduced to multiple modelling of the measured information obtaining process with required mean square deviation values by range and radial velocity measurements at normal distribution law.

Based on the presented methodological approach, a modeling complex was developed that allows evaluate the achievable accuracy of the lunar spacecraft position computing for modern radio means.

The conducted study serves as a guide for predicting the accuracy characteristics of the initial conditions determining for the spacecraft motion in the Moon orbit. Measuring of the current navigation parameters of a spacecraft in the Moon orbit with radio-electronic means from the Earth surface allows estimating the spacecraft location with errors of the order of tens of meters in coordinates and tens of centimeters per second in speed. It is worth noting that the obtained errors of the spacecraft position do not include the errors associated with discrepancies of the mathematical model of motion, used in the least squares method, with the actual aircraft flight process around the Moon.

A perturbation technique for deformation waves simulation based on considering the coupled problem of hydroelasticity in elastic cylinder shell with quadratic physical non-linearity is developing in the presented article. The shell is encompassed by the elastic medium and filled with viscous uncompressing liquid, which inertia of movement is accounted fort while considering its dynamics. The article demonstrates that the presence of encompassing medium leads to integral-differential equation, generalizing Korteweg-de Vries equation, possessing solution in the form of a solitary wave, called solitron. It does not hold an arbitrary constant wave number, in contrast to the Korteweg-de Vries equation solution. The uncompressing liquid behavior inside the shell are being described by the Navier- Stokes equations and continuity equation. They are being solved together with boundary conditions of adhesion to the shell wall. Solution is being presented by direct expansion of the sought functions by the small parameter of the hydroelesticity problem and reduced to liquid dynamics in the framework of the hydrodynamic lubrication theory. As the result, tensions from the liquid side, acting on the shell in longitudinal direction and normally, are being determined. The presence of liquid in the shell adds into the longitudinal waves equation a term, which does not allow finding the exact solution. Thus, numerical study is being realized using up-to-date approach, based on universal algorithm of commutative algebra. As the result of Gröbner differential basis construction, difference schemes of Crank-Nicolson type, obtained using basic integral difference relations, approximating the initial system of equations were generated. Numerical experiment revealed that liquid movement inertia reduced the wave velocity, and liquid viscous friction decreases the wave amplitude.

The purpose of the article consists in identifying new qualitative properties based on a computational experiment in Matlab software and clarifying quantitative characteristics of adaptive antenna array (AAA) with the optimality criterion of minimum mean-square deviation in the presence of mutual correlation interference and changing settings of signal-to-noise conditions.

The article considers the properties of the optimal spatial AAA filter as the object of research.

The subject of this article is a quasi-narrowband signal and two interferences at the coinciding frequencies of carrier vibrations acting from different directions.

The relevance of this work is determined by the need to account for the impact of several mutually correlated interferences on the AAA characteristics. Mutual correlation of the two interferences leads to a change in the type of covariance matrix of the received signals and interference at the outputs of the AAA elements. Additional interference component, called correlation interference, occurs at the input and output of the spatial filter unit.

The article presents the results of computational experiment on the study of characteristics of optimal space selectionof a signal and two mutually correlated interferences in the linear equally spaced array, optimal by criterion of minimum of mean square deviation of a signal from reference. New properties of the optimal spatial filter are revealed.

Practical significance of the article lies in the fact that the developed technique allows determine:

– parameters of the signal-noise environment, leading to unacceptable the efficiency decrease of the spatial filter;

– the nature of the signal-to-noise plus interference ratio changing at the output of the optimized antenna array at different correlation coefficient values.

The presented study deals with optimization of the testing process of management information system algorithms of complex objects on the example of guidance and stabilization algorithms of the management information system of the «Start» family light carrier rocket onboard complex.

The study practicality consists in application of the approaches for improving the testing processes for guidance algorithms of the space-rocket complex based on international standards not previously employed in the aerospace industry.

The purpose of the study is obtaining the expected end result of the study, assuming the stated contradiction solution by developing a testing model and recommendations for the test tests conducting.

The methodological basis of the study is the theory of systems, system and process analysis.

The following research techniques were employed while this work preparing:

– general scientific techniques such as analysis, synthesis, induction, deduction, analogy, ascent from abstract to concrete and vice versa;

– special techniques such as logical, comparative, and process analysis;

– modelling as well as experimental tecnhiques;

The following software was used as toolbox: BPwin, Erwin Process Modeler (CASE-tools for modeling processes based on the IDEF0 process description standards (functional model)), PTC Mathcad 15 (computer algebra system of a computer-aided design systems class), MATLAB (application software package for technical computing and modelling problems solving)

The study relevance and novelty lies in the fact that international testing standards that not previously implemented in the aerospace industry are being applied for the first time. To this end, analysis of international and Russian standards on software testing and the experimental development of a testing model based on guidance and stabilization algorithms were performed. The results of the study allowed conclude that recommendations on testing are relevant and confirms their practical significance.

The article regards the issues of industries, such as aviation and automotive, where products in the form of thin-walled profiles of various cross-sections find more and more application. Basic equipment for obtaining rolled materials, determining the line capacity and the of the products quality, are rolling machines, called calenders, employed in tires, tubes, airbags and hoses manufacturing, operating under high excess pressure. Working organs of these machines represent rolls, rotating towards each other with equal or different circumferential speeds, which axes are located in horizontal plane. The process of materials irregularities transportation is accompanied by dynamic loads, affecting negatively the working organs reliability and products quality. In view of complex kinematics of agitated masses in the effective volume of the two-shafted machines, the existing theoretical methods of the process analysis are limited by the indirect mixing estimation by energy consumption on material deformation in the gap between the rotor and the body wall.

Thus, the purpose of the article consists in developing design procedure of geometrical size and strength characteristics of roll equipment, capable of withstanding the calculated power loads. The design procedure allows minimizing the strength losses arising as the result of fatigue cracks or damages occurrence while the roll equipment operation. Design parameters obtained by this technique allow predicting selection of materials with low rate of fatigue cracks development with determining parts size and application of elements of reliability.

The technique, developed in the presented work, allows obtaining optimal geometric size of the calender roll based on the optimization method application employing a dimensionless complex criterion. The developed technique gives reliable size of the calender roll obtained employing dimensionless complex criterion and methods of target functional optimization without restrictions using penalty functions. The article presents the example of optimal geometrical size selection of roll for the three-roll calendar with penalty functions technique and brute force method, confirming correctness of the approach to the set problem solution.

In this paper, the oscillation of a rod carrying a small attached mass in a nonlinear setting is considered. The basis for the development of a new mathematical model is the general equation of oscillations. The mounting location and the influence of the small attached mass on the frequency characteristics of the natural frequency are taken into account. The first and second eigenfrequency characteristics of the oscillations of the rod carrying the attached mass are determined. It is also determined that the presence of a small attached mass is a factor that triggers the interaction of internal forms of vibration, which can lead the structure to a state of resonance. The obtained values of the wave-forming parameter above zero refer to the solid, and below zero to the weak parameter of the damping force. The presence of several components of the internal oscillatory process is a feature of the system in which the splitting of the frequency spectrum is possible. The small attached mass is one of the inclusions that deviate from the ideal mechanism of harmonic vibrations. The solution of an infinite system of nonlinear algebraic equations uses a new asymptotic approach based on the introduction of an artificial small parameter μ. The case when the system is close to the state of internal resonance is considered. As a result of the study, it was found that the mathematical model specified in the course of the study is better than the existing ones and is consistent with the available data.

The presented work highlights four ways of problems description of deformed solid mechanics (DSM) existing at present, namely scalar, operator, tensor and vector-matrix. Features of each technique were analyzed from the viewpoint algorithm developing and subsequent programming. The article demonstrates that vector-matrix formalization ensures the most general problem setting, and allows developing most universal and effective solution algorithms. For performing one-dimensional DSM boundary problems systematization the author selected problems solving approach associated with the necessity of employing systems of differential equations.

Sufficiency of considering only one-dimensional problems is stipulated by the fact that multidimensional problems solution algorithms building creates no essential methodical problems compared with the case of one-dimensional problems. Independent of the type, structure, geometry, material, loading or fixing of the structures under study, a unified vector-matrix form is used for the given problem description. The engaged differential equations can be of two types, namely linear and nonlinear ones without any restrictions concerning the range of nonlinearities under study. Three forms are being considered in each type of boundary problem. They are:

1. the two-point boundary problem,

2. multipoint unbranched boundary problem,

3. multipoint branched boundary problem.

As a result, all six forms of boundary problems are assumed canonical. Characteristic feature of the introduced forms canonization is highlighting of the resolving vector of desired variables, being differentiated with respect to a coordinate, as well as vector function of initial values of the problem parameters.

Six more forms of boundary problems with additional algebraic relations were built as well, which are the most widely used when solving applied problems of structures deformation mechanics. These forms can be reduced to linear canonical ones by identity transformations (for linear problems), or to quasi-linear canonical forms when building solution algorithm based on the parameter differentiation method (for nonlinear problems).

Thus the suggested systematization of one-dimensional boundary problems of solids mechanics, based on vector-matrix formalization of the resolving relations, allows reducing the number of problems requiring solution and the number of methods and algorithms of their solution developed, at the same time rising generality of these algorithms.

The irreducible spectrum of one-dimensional problems of mechanics of solids solution algorithms is associated with the six canonical forms introduced in the presented work. When programming algorithms of all the considered boundary problems types solution, only three programs for linear problems solution are basic, corresponding to the first three canonical forms.

High-pressure pipelines for hydro-gas systems are widely employed in aviation industry and machine building. Shaped parts of high-pressure pipelines are being manufactured by pressure shaping of structural materials, made of high-strength stainless steels, aluminum and titanium alloys.

Parts shaping leads to various defects occurrence in the structural material, which significantly affects the long-term strength of the products.

Strength calculations under the simultaneous action of internal pressure, tension, and torsion forces on pipelines mainly account for mechanical characteristics of materials, obtained under simple loads, but individual defects obtained while manufacturing the parts of hydro-gas systems are not regarded. Thus, the need in conducting studies and developing techniques that accounting not only for the materials mechanical characteristics under complex stress conditions, but also the evolutionary processes occurring in the material microstructure on the micro level while these structures manufacturing arises.

To account for the micro-processes dynamics and changes in the microstructure of structural materials while the parts manufacturing by pressure processing, the authors proposed to employ the method of acoustic emission (AE).

Acoustic emission occurs in a material under mechanical stress from the release of energy as the result of micro- and macroscopic phenomena caused by local dynamic rearrangement of the internal structure of the material. As the loading force is applied to the structural material, there are displacements of atoms and compaction of material discontinuities at the initial stage. Then the number, condensation and chaos of primary dislocations are increased, leading to dislocation loops and helical dislocations are formed.

As these transformations commencement the emissions of AE signals of corresponding frequency and amplitude occur, which have an individual fractal dimension in accordance with the stage of the microstructure evolution.

Thus, any change in the structure of the material in a complex stress state, as well as the appearance and healing of defects is accompanied by AE radiation. It means that the quantity and energy of AE signals can determine the stage of degradation of the structural material structure.

The article deals with the technique for strength prediction of the shaped parts of pipelines of Hydro-gas systems by the of AE parameters. When the structural material is deformed during the manufacturing process, along with various trajectories in two-dimensional deformation space under a plane stress-strain state, when damage accumulates in the work piece, that affects its strength and durability. Strength determining of the shaped parts of hydro-gas systems depends on mechanical characteristics of structural materials, methods of deformation and becomes a difficult task, since the defects accumulated by each part are individual. The article demonstrates the process of microstructure changing of aluminum alloys in the process of deformation. The durability prediction of parts fabricated by the process of metal forming was studied. A stable dependence for determining the time to failure for D16 alloy by the AE parameters with a fractal dimension of the of acoustic signals 1 ≤ D_2attr ≤ 6 from the effect of internal pressure stresses in the manufacture of parts by process of metal forming was obtained.

The technique proposed in the article allows not only pridicting the long-term strength of shaped parts of pipes of hydro-gas system but also determining the time to failure for these parts by the AE parameters with a fractal dimension of the attractor of acoustic signals 1 ≤ D_2attr ≤ 6.

The article presents the results of numerical and experimental studies of residual strength of composite panels with in-service damages. The issues of damage size impact on buckling and strength properties of panels, as well as on their modes of failure while the critical state achieving, were under study. Structural panels of wing and empennage of the airframe structure of a long-distance aircraft were considered in conditions of uniaxial compression. The article presents experimental data obtained while compressing tests of panels with normalized impact damages, and gives its comparison with computational results. Virtual modelling of experiments was performed based on finite element method including the geometrically non-linear problem setting, realized in NSC Nastran and Marc software complexes. A technique for numerical studies performing and methods for damaged area modelling are described. It is demonstrated that modern numerical methods allow predict the load-bearing capacity of structural composite materials in both initial state and in the presence of defects in them. The difference in reaction of highly-loaded wing panels and medium-loaded empennage on in-service damages was established by the parametric studies results. Destruction mode associated with the process progressive growth of the damage zone is characteristic for the panels of the first type. The load bearing capacity for the panels of the second type is determined in a greater degree by the total or local buckling. It was shown also that the damage effect on the residual strength of the composite panels depended on the energy of the impact to which all structures might be subjected while their operation, as well as on the place of the damage location. The technique for computing-parametric studies performing proposed in the article can be employed for preliminary estimation of normalized in-service damages impact on the load bearing capacity of panels from CFRP, and required level of allowable stresses to meet the strength safety requirements of composite structures. The obtained results can be useful at the draft design stages to formulate appropriate destruction criteria.

The presented work formulated and solved the problem of forced radial and flexural hydro-elastic vibrations of the round three-layer plate. The study of a plate with light incompressible filler under the action of normal and shear stresses from the side of the pulsating layer of the viscous incompressible liquid was performed. The axisymmetric problem, in which the plate was regarded as the lower wall of the narrow channel, filled with a viscous fluid, was studied. The fluid movement in the channel was considered as a creeping one. Equations of the three-layer plate dynamics were obtained based on the zigzag normal hypothesis and the D’Alembert principle. The developed mathematical model consists of dynamic equations of a viscous incompressible fluid layer and dynamic equations of the round three-layered plate. The following boundary conditions were selected:

– liquid sticking conditions to the channel walls;

– the liquid free-flow conditions at the channel end;

– the plate rigid fixing conditions;

– and conditions of limited liquid pressure and the deflection plate at the symmetry axis.

The hydrodynamic parameters distribution of the fluid layer as the plate deflection functions was found, and resolving equations for determining the plate elastic displacements were obtained. The amplitude-frequency responses of the radial and flexural plate displacements corresponding to the main mode for the steady-state harmonic oscillations were plotted. The numerical study of the radial and flexural oscillations amplitudes on the main mode, which demonstrated the mutual effect of the inertia and stiffness forces of the three-layered plate in the radial and normal directions, was performed. The performed computation revealed a significant impact of inertia forces in the normal direction on the amplitude-frequency response of the plate radial displacements. On the other hand, the computations showed a slight effect of inertial forces in the radial direction on the amplitude-frequency response of the plate deflections.

The article deals with the physical modelling of the spacecraft upper stages’ tanks emptying from the fuel components in condition of acceleration of various values impact on the liquid. The Froude number was selected as modelling criterion. The research experiments are conducted on the transparent physical model of the tank, being filled with various quantity of the model liquid, which flows out from the model with various consumption values while the research container with the model drop in the “weightlessness shaft” (or “drop tower”).

The tests determine the Froude number impact on the unusable liquid remnants in the model, caused by the “dynamic drop” of the “liquid-gas” interface surface into the drain port of the tank while its depletion (“funnel forming”). Approximation formula of the dependence of the unused remnant volume on the Froude number while tank depletion was obtained. It was demonstrated by the results of the experiment that the obtained dependence describes rather accurately the process under study up the Froude number of Fr ≤ 10⁴. Within the range of Froude numbers values of Fr > 104, surface tension forces start to affect the result, and besides the Froude number, the Bond number should be accounted for while physical modelling.

Boundary conditions formulating on a solid surface for moment equations systems represents significant complexities.

A strict formulation of such boundary conditions was obtained only for the Navier-Stokes-Fourier model (NSF) being an incomplete system of second-order moment equations. Under high non-equilibrium conditions, the NSF model with its corresponding boundary conditions significantly overestimates the coefficient of friction on the streamlined surface. Previously, the authors proposed a combined flow model supplementing the NSF model in the near-wall region with a kinetic equation with appropriate boundary conditions. This combination of hydrodynamic and kinetic models allowed significantly improving the solution in the near-wall region.

The presented article proposes a combined physical and mathematical flow model, employing model kinetic equation for polyatomic gases within the Knudsen layer, and the third-order system of moment equations (M3) within the rest of the computational domain. In the region of models concatenation approximating distribution function, representing a decomposition of the Maxwell equilibrium distribution function by the thermal velocity degrees, is being restored. Parameters of decomposition (non-equilibrium stresses and third-order moments) are determined in the M3 model approximation.

The example of the test problem solving for Couette flow demonstrates that this option of the combined model yields smooth solutions in the field of models’ concatination and allows a satisfactory accuracy of the flow field description in a wide range of Knudsen and Mach numbers. Both options of the combined model were compared. Analysis of the results revealed M3 hydrodynamic component employing in the combined model allowed enhancing the acceptable range of Knudsen numbers approximately by an order, while the Mach numbers could be increased up to hypersonic values.

The study of rarefied gas flows allows revealing a number of effects that are not observed in the continuous flows. Despite the fact that the studies in this field are being conducted for more than 50 years, some properties of such flows are far from being well studied. For example, effects of non-monotony of aerodynamic characteristics for a plate in the hypersonic rarefied gas flow by Reynolds numbers have been previously studied in the works [1, 2]. However, behavior of these characteristics depending on different angels of attack has not been studied up to now. Thorough studies of these effects by the direct simulation Monte Carlo (DSMС) technique depending on the key parameters such as Reynolds numbers, angle of attack, temperature factors and temperatures ratio of the plate surfaces were conducted in the presented work. It was revealed that with equal temperatures of the plate sides, the friction coefficients remained non-monotonous up to the angle of attack of 10 degrees, and up to 30 degrees by the pressure coefficient. Based on the obtained calculations, approximate analytical dependences of the coefficients of friction, pressure and lifting force on the angles of attack and temperature factors in a wide range of Reynolds numbers are proposed. These dependencies were applied for aerodynamic characteristics determining for arbitrary shape bodies in the framework of the local interaction hypothesis, and performed comparison demonstrated good conformance with the other authors’ data and experiment. At small angles of attack and different temperatures of the plate sides the lift coefficient changes its sign depending on the Reynolds numbers, and there are values of the angle of attack an temperatures ratio on the plates surfaces, at which the lift coefficient equals to zero.

Recently, a growing interest in developing refined theories of plates and shells is observed. This interest is aroused by the necessity of studying stressed-deformed state (SDS) while developing elements of modern structures, including aerospace engineering products. The article considers the edge stress state of isotropic rectangular plate of variable thickness under action of local load based on the refined theory. A mathematical model of additional stress state of “boundary layer” type, occurring near the clamped edge of the plate was developed. Three-dimensional equations of elasticity theory are applied while this mathematical model development. The displacements are approximated by the polynomials by the coordinate normal to the median plane two powers higher relative to the classical theory of Kirchhoff-Love type.

A system of basic equations of the refined theory and corresponding boundary conditions were obtained by the variation Lagrange principle. The solution of the formulated boundary value problem is accomplished the trigonometric Fourier series methods, finite differences, and matrix sweeps. One of distinguishing features of the proposed refined theory consists in the fact that direct integration of the equilibrium equations of the three-dimensional elasticity theory is employed while transversal and normal tangential stresses determining.

A refined mathematical SDS model of the rectangular plate with variable thickness, symmetric relative to the median plane in the longitudinal direction, was developed in this work. The article presents a comparison of the results obtained by the refined theory with the classical theory data. This technique allows consider not only the thin plates but also the plates of medium thickness. It was established that this refined theory should be used when studying the stress state in the zones of its distortion (joints, local loading zones, etc.). Additional, in relation to the classical theory, transverse normal stresses, are appeared to be of the same order with maximum values of the main bending stress. This result is important as it allows obtain more reliable evaluation of the strength and crack resistance of aircraft structural elements, as well as other machine building objects at the design stages.

The article regards the stress-strain state (SSS) analysis of the compressor rotor blades attachment of aviation gas turbine engines (GTE). The study is based on the finite element method (FEM) and the contact problem solution of the elasticity theory. As an example, the rotor blades structure with its attachment in the disk with a trapezoidal lock (Dovetail type) under the impact of a centrifugal load is considered. Parts designs are modeled by finite elements of the volumetric stress-strain state. The contact mating between the lock and the disk is modeled employing a special contact finite element. The results presented in this work demonstrate a complex picture of changes in mating conditions on the lock working surfaces. The results of calculations are shown in comparison with the results of traditional calculations. The difference manifests itself in the form of refining the value of places of stress concentration under the impact of various structural and technological factors of the blade attachment with a trapezoidal lock Thus, the calculation approach presented in the article allows detect the regularities of specifics of the impact of blade attachment elements on the product efficiency.

The purpose of the study consists in analyzing the features of three-dimensional parts models of the lock joint and changes in the conditions of their mating in operation. The proposed article presents the possibilities of the finite element method implementation (FEM) based on the solution of the contact problem of the elasticity theory.

The authors concluded that the static model was a preparatory stage for developing a new dynamic model of an aircraft engine.

Currently, multi-channel Earth surface monitoring systems both air- and space based are being intensively developed. Helicopter information support systems (pilot survey, search survey, and sighting), which include multispectral and, in the future, hyperspectral optical radiation sensors that will be integrated into a single information system, are of no exception. Application of hyperspectral photography allows increase the detection and recognition efficiency of scene objects. In turn, while hyperspectral photography, the detected radiation is being split into hundreds of components of the generated hyperspectral image, which leads to a significant decrease in the level of the useful signal in relation to noise. Hyperspectral images are subjected to additive uncorrelated noise, which can reach high levels. At the same time, there are quite strict requirements for high spatial resolution of such complexes.

There are many image processing techniques and technologies, and one of the most important areas of processing multi- and hyperspectral images is their complexing.

The article considers an algorithm for multispectral images complexing in conditions of additive Gaussian noise, based on the interchannel gradient reconstruction technique. The proposed algorithm allows eliminate highly dispersed values of noise amplitudes in the multispectral image spectral components while their complexing. It also allows increasing the local contrast of the resulting image, containing elements of the original images of the same scene, obtained in different spectral ranges, while preserving the contour features of objects from all the spectral components of the multispectral image and the brightness portrait of the priority spectral component. The article presents examples of complex images and results of numerical studies, confirming the effectiveness of the proposed method are presented.

The subject of study is the operational evaluation technique of the anechoic ratio of an anechoic shielded chamber (ASC) for conditions realization of radio wave propagation in free space while studying antenna and microwave devices of radio electronic systems and complexes as a part of hardware and software complex of operational monitoring tools for radar remirroring.

ASC application allows sharply reduce or completely eliminate full-scale test, which leads to significant cost and time saving. They are employed at every stage of radio-electronic equipment developing. The main characteristics on electromagnetic compatibility (EMC) at the specified size, operating frequency range and polarization are:

– normalized Site Attenuation (NSA);

– field irregularity in the work zone (AIWZ);

– voltage standing wave ratio (VSWR);

– anechoic ratio (AR).

The above listed indicators of ASC quality characterize its «isolating» properties, as well as also the properties, guarantying unambiguity and accuracy of the performed measurements.

The required AR full-scale insuring is a complex scientific and technical task. In most practical cases AR is not ensured in the entire ASC volume, but only in its part. Difficulties of the work zone forming in the ASC space are determined by its uniqueness for each concrete study (test). On the one hand, the uniqueness depends on the ASC shape and size, the type of radar absorbing material and its placement. On the other hand, it depends upon the radiation zone determined by antennas location options, radiation sources and auxiliary tools (antenna supports and their dynamic complexes). Thus, besides attestation, including periodical one, it is necessary to be in a position to ascertain in ensuring the required minimum reflection level in the work zone of the required size.

Therefore, it is necessary to be able to quickly verify the required minimum level of reflection in the operating area of the specified size during practical measurements in spite of periodic certifications.

Employing the hardware and software complex of operational monitoring tools for radar side remirroring 2–3 times accelerated calibration process in the work zone, and allowed successfully conduct State testing of satellite signals of three types of prospective products, namely aircraft, helicopters and unmanned aerial vehicles.

Rapid development of mobile devices and increase in their production leads to a transport collapse in telecommunication networks. The form factor reducing of such devices sets a new trend in their production, aimed at wireless access to the global network. Due to this fact, a problem with the frequency range is already observed, which, in its turn negatively affects the information interaction [1, 2, 3].

Besides the above-described problem, the TCP/IP protocol stack, just like most standards and algorithms for transmission and generation of packets, was aimed at the wired segment, which, in turn, is free from some disadvantages of the wireless segment [4].

Most MANET devices employ the Tail drop queue management algorithm [11], in which packets are received until the queue is full and starts discarding them. If the buffer is constantly full, the network will be overloaded. Retransmission of the discarded packets requires additional resources (mobile device battery consumption and the channel throughput). In the case of multiple short TCP sessions on the network, congestion ensues, and the so-called “Global TCP synchronization” may occur. Based on points stated above, we can conclude that the Tail Drop uses the router memory irrationally.

The RED algorithm starts to discard packets when the queue starts filling up. When the queue size exceeds a certain maximum threshold, the probability of discarding a packet becomes equal to one. Thus, all incoming packets are discarded. The RED algorithm is effective enough for its selection in most queue-based devices, along with its modifications, such as WRED and CBWRED.

At present, the number of application domains of global navigation satellite system (GNSS) receivers increased. Besides the tasks requiring high precision positioning such as geodesy, navigation, autonomous control of equipment, navigation data is used to such atmospheric parameters monitoring as integral water vapor content, pressure, tropopause height. Another example of the GNSS employing receiver, beyond the tasks associated with the consumer positioning, is track delay integration, obtained from the receiver with microwave radiometer measurements with the view of high-precision estimation of the tropospheric delay wet component for altimetry products

An accurate calculation of the values of zenith tropospheric delays can be obtained by the Precise Point Positioning (PPP) technique. PPP technique is a secondary measurement processing method allowing achieve centimeter positioning accuracy with a single GNSS receiver. The values of zenith tropospheric delays (ZTD) herewith will be estimated directly in the Kalman filter with the rest unknown values such as position, clock offsetting and velocity.

Due to the growing interest in this positioning technique, associated mainly with the possibility of its application in various fields, many ready-made algorithms for its implementation exist, both as online services and as software packages.

This article presents a comparative analysis of estimates accuracy of zenith tropospheric delays obtained by navigation measurements processing from the four ground-base stations of the International IGS network with three software products, namely gLAB, CSRS-PPP and MagicGNSS.

Zenith tropospheric delays estimated by this means were compared with reference tropospheric delays in the “*.zpd” format, provided by the International GNSS service.

The presented study revealed two basic tendencies. Firstly, it was found that MagicGNSS and CSRS-PPP software products allowed obtaining ZTD estimates rather close to the IGS tropospheric product value. Secondly, the dependence between the time of year and zenith tropospheric determining delay accuracy was revealed.

At present, information technologies development, the emergence of new threats to the information security of information systems, such as any automated process control systems, as well as with increasing requirements for data security, led to the need of creating or constantly upgrading the existing information protection systems

Threats to the integrity, accessibility and confidentiality of information to the stored and processed data in automated control systems (ACS) can lead to loss of prestige of the organization, financial problems, threats to state and corporate secrets protection, etc.

Traditional methods of attacks detecting do not allow achieving optimal characteristics of internal attacks detection. The analysis reveals that attack detection systems building based on artificial immune system technologies is quite promising. This technique has several advantages over other methods, ensuring:

– high speed;

– a relatively simple learning algorithm;

– low resource consumption.

As a consequence of artificial immune systems, a promising area of research in the field of information protection of automated systems is the “intelligent detector” tools development. For further software realization and implementation in automated control systems, it is necessary to describe the requirements that will be imposed on the intelligent detector, basic functions of operation, and basic elements of the intelligent detector.

By the “intelligent detector” we will mean a system, operating in real time mode, protects against unauthorized access by automatically detecting external/internal impacts or threats, and elaborates an appropriate solution to eliminate or slow them down.

The requirements for the intelligent detector system include:

1. The objectivity (reliability) of the result. Evidence that vulnerabilities do exist in the information system, and describe in detail the possible consequences of their implementation.

2. Completeness of the description of possible vulnerabilities in the system.

3. General recognition of security assessment criteria. Employing simple and clear criteria for assessing information system sequrity.

The functions of an intelligent detector system can be divided into external (identifying and suppressing attacks) and internal (identifying and eliminating vulnerabilities).

The functions of an intelligent detector system can be splitted into external (identifying and suppressing attacks) and internal (identifying and eliminating vulnerabilities).

The intelligent detector of an information system, in our opinion, should perform the following functions:

1. Perform information gathering from the system.

2. Process the received information for a further solution developing.

3. Identify the cases of security policy breach.

4. Develop appropriate system responses to violations.

The main problem of article is spacecraft project creation for space debris utilinzation.

The purpose of the presented work consists in concept developing and designing an CSD spacecraft, which will allow space debris reprocessing into a fuel.

This work urgency consists in near-earth space clearing from space debris by its reprocessing into a fuel.

Basic shortcoming of the existing projects of technical devices is crushing of bulky space debris that leads to smaller fragments formation.

The article suggests employing the concept of pseudo-liquid fuel creation. Pseudo-liquid fuel is a fuel from the fine metallized powder in a gas media. The CSD spacecraft f purpose consists of a space debris catcher and a system for its utilization by reprocessing into a pseudo-liquid fuel.

The obtained results can be applied while CSD spacecraft design and operation.

The author concludes that space debris reprocessing into pseudo-liquid fuel is most expedient as this type of utilization of space debris is waste-free.

The author’s undoubted merit of is creation of the invention named “A spacecraft for space debris utilization”, as well as the CSD operation developing.

The prospect of further developments in this field consists in the space debris reprocessing system improving to reduce economic spending for the project, further development of the CSD shock-proof frame and its fan-shaped solar collector to avoid breakages while the space debris gathering, as well as the CSD project improving for subsequent implementation.

The presented article is devoted to the problem of the arrangement optimization of fixture elements while aircraft assembly. Minimization of fixture elements number preserving the final product quality is one of the key factors of production intensification in aerospace industry. The objective of the work consists in verifying further application possibility of Mesh Adaptive Direct Search and its modification to the problem under consideration. This method is stipulated by its following specifics, such as no need for derivations computing, and the structure, which implies two independent computing blocks. The first feature is important since the optimization problem under consideration is combinatorial and relates to the NP class. Correspondingly, derivations computing is not possible, and the global minimum can be found by the full enumeration method. The second feature, namely steps independence, opens the possibility of employing any algorithm as a search step. The article considers the following approaches: black box optimization, black box optimization with spatial relaxation of forces and a technique of modified step of searching based on total information on the problem being solved.

Computations were performed on the test model of the wing attachment with fuselage. The results are compared with Local Variation Method (a greedy algorithm) to evaluate their efficiency and possibility of their further application for optimization of full-scale models. Mesh Adaptive Direct Search proved to be applicable as it allowed obtain improved relative to the initial fixture elements arrangement. Modification of the algorithm searching step based on total known information ensured the best balance between computation time and the final result quality.

The presented article describes a program for a charge of solid or paste-like rocket fuel combustion surface modelling, developed in MATLAB package. Initial data for the charge combustion surface forming includes heat conductivity factors of all fuel charge elements (of the fuel itself and all thermal conductive elements it contains), the charge geometry, stored in the form of a table (finite elements mesh), and the fuel combustion law. The fuel combustion law accounts only for the charge temperature field without considering combustion products pressure in the chamber and erosion processes, since it is quite sufficient to obtain qualitative pattern of the process being considered. The charge temperature field at each time instant is formed by solving the equation of thermal conductivity in finite differences. The article presents derivation of the equation of thermal conductivity fr om the differential equation of thermal conductivity. The results of the program execution are presented in the form of a table wh ere zones of solid, gaseous and transient states of the fuel are highlighted by various colors. Qualitative comparison of the obtained results (the charge combustion surface at a given time instant after the burning commence) with the results of the experiments on the subject of interest was performed. The trend for future works in the field was proposed as well, namely, on programs creation for designing rocket engines, operating on solid- and paste-like state fuels, with thermal conductive elements included into the fuel charge.

Prior to a new product production startup or changing production program of aviation enterprise, it is necessary to unambiguously determine whether there are enough production resources to fulfill the new production program. The answer to this question is possible only in the case the presence of sufficient amount of reliable information on the production work.

In cases where information is insufficient, the authors propose to use simulation model as an information source. The article considers a simulation model of a workshop for parts production fr om polymer composite materials. The developed model was verified by the key points of production. In the simulation model, a series of experiments was carried out where production plan was the variable parameter, and the fact of the monthly production plan fulfillment was the criterion.

Based on the experiments, a data set was generated. This data set was analyzed, and certain conclusions were drawn on the production work.

To automate the predicting process, a fuzzy system model with an external knowledge base is employed, wh ere the Gauss function is used as a form for representing fuzzy sets. The first stage of this model functioning is a knowledge base compilation from the training sample in the form of “input vector”-“predicted value” pairs. The data in the knowledge base is stored in the form of membership functions for the corresponding Gaussian curves rather than in absolute values. At the second stage, using the generated knowledge base, a forecast is performed by calculating the degree of belonging of the existing situation and the reference.

The fuzzy-neural network functioning with fuzzy sets is required to perform mathematical operations performed by the following blocks: a block for bringing state variables to fuzzy sets, a block for generating a solution, a block for mapping output fuzzy sets to the forecast value.

Based on the above-described algorithm, a software module for the production plan analysis and its fulfillment forecasting was realized. The developed module allows employing various data entry formats, as well as conducting experiments.

A test sample was analyzed, from which a knowledge base was being formed, and control checks on the test sample were carried out. The results of check test gave 93% of forecast matches in the test sample.

The rapid process of technology and engineering development in the modern world leads to the necessity of developing and considering mathematical models of thin-walled elastic structural elements. The study of elastic thin-walled structures, the space between which is filled with a viscous liquid or gas, is becoming increasingly interesting. The article tackles the problem of modeling the flow of a viscous compressible gas in a slotted channel consisted of two plates. The first plate is rigid, and performs harmonic vibrations in the vertical plane (vibrator), while the second one is represents an elastic plate (stator). Mathematical model in dimensionless variables is a coupled system of partial differential equations, describing motion dynamics of a viscous compressible gas (Navier-Stokes and continuity equations) flowing between two plates and an elastic beam-strip with the corresponding boundary conditions. To solve the set problem of a viscous incompressible gas and an elastic linear plate interaction, we switched to the dimensionless variables of the problem. Small parameters of the problem, i.e. relative width of the viscous gas layer and relative deflection of the elastic stator, were selected. These small parameters of the problem allowed using the perturbation method to simplify the system of equations. The article presents a technique for solving this problem, being a combination of the direct method for solving differential equations and the Bubnov-Galerkin method. An expression for the amplitude-frequency response of the elastic stator was obtained. The study of the amplitude-frequency response of the elastic stator will determine the operating modes under which the resonant phenomena occurs, and accounts for them when developing new structures in the modern engineering and aerospace industries. The presented mathematical model can find application in gas-dynamic vibration mounts and dampers.

Rockets upper stages are one of the most dangerous type of space debris, not so much herewith due to their weight and size, making collision with them rather dangerous, as they might spontaneously explode due the presence of residual fuel, creating plenty of debris with unpredictable trajectories. In this regard, many ways of space debris removing, and spent rocket stages in particular, have been proposed and analyzed in recent years. One of such methods is tether-assisted towing of passive space debris (object) by an active spacecraft (tug) to the upper atmosphere. The article considers the process of removal, consisting of three stages: harpoon capturing of the object, tether unwinding, and towing. Towing will be safe if both the tether and the object are oscillating around their equilibrium states. In this regard, the authors propose a capture technique, which employs the impact impulse from the harpoon to reduce the initial angular velocity of the object so that it will move to the position required for safe towing while the tether unwinding. Dependencies allowing determine the required position of the harpoon point of impact, and the object orientation at the moment of capture are presented. A tug thrust control law while tether unwinding, ensuring the tug reaching the specified point with the specified speed, is proposed as well. As an example of the proposed approach application, numerical modelling of the Ariane 4 rocket upper stage removal is presented. The numerical modelling results revealed that with the specified tug thrust, the tug’s reaching the specified position with subsequent towing was possible in the wide range of the tug masses. The results of the presented work can be employed for planning future missions on space debris removal from low near-Earth orbits.

Structural elements in mechanical engineering, including structural aircraft elements, are often described by a model, for which large generalized displacements at small deformations are characteristic. Thus, the parts, such as aircraft skins sections or aircraft engine housings, while considering evolution; thin-walled rotors etc. can be referred to these elements [1, 2].

Application of a moving coordinate system associated with an aircraft leads to the necessity of introducing extra inertial loads (gyroscopic, Coriolis, et-cetera) while an aircraft evolution considering. In case of deformable systems, such as aircraft hull and wings, it leads serious complications in mathematical description of a finite element. However, if immovable coordinate system, associated with the Earth, is employed, then the necessity for the extra loads does not arise, since the movement is not decomposed into translational and relative components, though large rotations, which an aircraft performs while moving relative to the Earth, should be herewith accounted for.

The purpose of the article consists in developing such a finite element, in which displacements and rotations are large, while deformations and, hence, relative changes of the element size are small.

Many works were devoted, and a whole number of techniques were developed to solve the problem of describing large displacements of structural elements to determine displacements and power factors in them. A rather complete review of these works and techniques is presented in [3, 4]. Particularly, works [3, 4] mentioned the corotational approach with the Euler vector application for finite rotations description, which was employed in this paper. This approach is rather new. Thus, it has not yet reached the same level of popularity as the Lagrange approaches both general and modified [6, 7].

Despite its novelty, the approach is based on the old idea of separating displacement as rigid whole and purely deformational motions. Each approach has its drawbacks. Lagrange approaches have one common disadvantage, which consists in the fact that each element must be recoded from scratch for geometrically nonlinear analysis [8]. The main drawback of the corotation approach is the problem of tracking the shadow position, and selecting the point with which this position is associated. However, there are studies demonstrating that the best choice is binding to the element center of mass [9].

Due to the growing interest in such an approach, many studies devoted to the development of ordinary [10, 11] and specialized [12-15] finite elements using this method appeared in recent years. The main differences of the approaches proposed in this paper are the possibility of obtaining fully analytical relations for the stiffness matrix and the vector of elastic forces; the ability to describe unlimited large rotations, and the absence of the need to additional degrees of freedom introducing.

The Euler vector used in this work is the most common and natural way to describe finite rotations [16-19], though, the Euler vector has a disadvantage, consisting in the presence of a limit value of the rotation angle (2π). With this rotation angle value, the tensors linking small physical rotations with derivatives of kinematic parameters appear degenerate. To overcome the problem, the presented work employs modification based on Euler vector correction while approaching the limiting value. The modification is described in detail in [3] and is not linked to both the base element or to the number of nodes.

The article presents an algorithm for deriving the tangent stiffness matrix and the vector of elastic forces for a geometrically nonlinear shell finite element on the example of a four-node finite element. However, the algorithms are of rather general character and can be applied to almost any basic element (not necessarily a shell) without significant changes.

Based on the test problems solution results, an inference can be drawn on the derived relationships correctness, rather good accuracy of the developed element, which allows its successful application for computing structural elements of machines, subjected to large generalized displacements at small deformations. Besides, the authors can claim that the developed element possess high performance compared to the analogs due to the transparent closed analytical expressions for tangent stiffness matrices and the nodal force vector.

The article presents results comparison of deflections computing in a certain point of a viscoelastic plate, obtained within the framework of classical Kirchhoff thin plates theory with the results of the similar computing based on the refined theory of Timoshenko type for medium thickness plates. Transversal pulse loading of a rectangular homogeneous isotropic viscoelastic plate, hinged along its contour, is considered while computations. Accounting for internal viscous friction based on Kelvin-Voigt model for Kirchhoff plates was realized by the well-known approach, employing differential operators.

The article proposes a new approach to transient analysis in a viscoelastic continuum caused by non-stationary force disturbances, based on integral transformations and the Efros theorem. This approach employs a smoothing linear integral operator and can be applied to any solutions, obtained in the framework of elasticity theory, which can be represented in the form of Duhamel’s integrals. The possibility of relatively fast recalculation of the plate deflections and deformations with account for the internal friction for various values dissipation and vibration coefficients is not excluded herewith.

The presented graphs allow making a conclusion that integral and differential operators application to account for energy dissipation while viscoelastic plates deforming (moreover, with various hypotheses of deformation by Kirchhoff and Timoshenko) gives close results. That is, the solutions, obtained by the two independent methods for different differential equations, practically coincide. This fact confirms the new developed approach propriety, correctness of smoothing integral operator application and veracity of performed calculations.

The indisputable advantage of the approach presented in the article, which employs smoothing linear integral operators for solving the deformed solid mechanics problems, as applied to viscoelastic continuum, consists in the fact that it does not utilize information on frequencies and shapes of free vibrations of the object under study. Thus, the suggested technique is not sensitive to the boundary conditions description errors and imperfection of the accepted hypotheses of deformation (Kirchhoff, Timoshenko, etc.). Due to the above-said property, the suggested approach can be effectively employed while data processing of full-scale experiments.

The article regards the problem of numerical characteristics determining of a rectangular in-plan view open thin-walled shell, rigidly pinched along one of its sides.

A theoretical analysis of theories of oscillations of an open cylindrical shell and a curved plate was performed. The shell calculation was performed based on the Germain-Lagrange equation using asymptotic methods for solving differential equations, the Padé approximation, and the recursive perturbation theory. Approximation was performed by expansion in a series in a variable of wave-forming parameter. Analytical dependencies were obtained between the shell oscillation frequency and the wave-forming parameter of a cylindrical open shell. The performed studies were verified by the experimental studies. For these purposes, a special test facility was developed, test samples were fabricated, and a program of experimental studies was developed. Mathematical models and the shell vibrations studies refinement is necessary to reduce the onset of resonance effects and prevent accidents. The numerical data determined with the Padé approximation is very accurate, and describes perfectly frequency characteristics of the oscillatory process at the wave-forming parameter staying within the range from zero to unity. The data obtained in the course of the experiment setting up, represents minimal discrepancies for the RTV method (recursive formulation of perturbation theory). In the range of the wave-forming parameter less than 0.5, the data obtained during the experiment setting up, are inconsistent with numerical data determined using the Padé approximation method. The refined mathematical model demonstrates significant conformity with the experimental data at ε > 0.4. Thus, the range of ε > 0.4 is excellent for the calculation applying the mathematical model obtained in this article.

Spectral methods for solving mathematical physics problems have been intensively studied in the last two decades due to their good approximation properties. Estimation of complex eigenvalues of the fourth order ordinary Orr-Sommerfeld differential equation, which has attracted attention of a number of mathematicians in recent decades, is stipulated by its relevance in the problems of hydrodynamic stability. These methods are considered to be extremely effective for hydrodynamic stability problems where high-precision results are needed. Orr-Sommerfeld type equations are essential for the shear flows analysis, which are important in many fields. One of such areas is climate modeling, when an attempt is made to explain the origin of a mid-latitude cyclone, which in its turn is responsible for creating areas of high and low pressure from which variable weather conditions arise. On the problem of transition from laminar to turbulent flow, all the ideas involved, physical mechanisms, methods used and results obtained are considered, and, if possible, the theory is correlated with experimental and numerical results. It is well known that classical Orr-Sommerfeld eigenvalue problem, which occurs in the linear analysis of the hydrodynamic stability of some basic gas flows, was first solved using the direct spectral method. A numerical study of the eigenvalues of the Orr-Sommerfeld equation for the Blasius boundary layer in the time setting is conducted, and the spectrum of the Orr-Sommerfeld operator is also investigated by Reddy, Schmid and Henningson. In a general mathematical framework, spectral methods for hydrodynamic stability problems are considered, and the Orr-Sommerfeld equation is analyzed, posed with homogeneous boundary conditions that contain a derivative up to the first order.

The collocation method (pseudospectral) based on Chebyshev polynomials is debugged on the Blasius profile and compared with the results of the work Mack.

It is obvious that the increase in the number of Chebyshev polynomials has a significant impact on the accuracy of determining the eigenvalues for the Blasius and Musker profiles. The effect of Chebyshev polynomial degrees on the accuracy of determining the real and imaginary part of the eigenvalues of the first mode for laminar and turbulent boundary layers was considered. The real and imaginary parts of the eigenvalues depending on the wave number for the first three modes of the Orr-Sommerfeld equation for the profile of a developed turbulent boundary layer were obtained This is important for the study of the dynamics (including nonlinear) of Tollmien-Schlichting waves.

The authors studied the case of (H₂ + 0.5O₂ + 1.881N₂) hydrogen-air mixture combustion in the stationary detonation wave. Analysis of possible flow patterns with stationary detonation wave was performed in chemically equilibrium quasi-single dimensional problem statement according to the technique [8] for a channel in the form of two successively arranged Laval nozzles. In case [8], solution depends exclusively on the radii ratio in the current, initial and minimum channel cross-sections. Passage modelling of a chemically non-equilibrium flow rate through the speed of sound was being realized employing “adjustment of fire” method (algorithm for a singular point passing) [10] using equilibrium solution as an initial approximation. This algorithm allows obtaining a quasi-one-dimensional non-equilibrium stationary solution with a detonation wave in the longitudinal x-coordinate of the l with the given mixture and basic thermodynamic parameters by varying setting coordinate of the detonation wave. Positions of detonation wave are close enough in both equilibrium and non-equilibrium cases. The range of mixture with detonation wave flow rates can be predicted with equilibrium analysis. As in the equilibrium case, three possible solutions with detonation waves in non-equilibrium flow exist in the loop.

Only one solution with detonation wave in the expanding section is stable. This fact was proved by Godunov’s method. The presented quasi-one-dimensional formulation of the problem can be employed for the initial analysis of flows. At the same time, the indisputable advantage of this technique is the high speed of calculations.

One of the most devastating natural disasters on the Earth are powerful tropical cyclones. As a result, people die, serious damage to engineering structures occur, general violation of the environment ecology in areas exposed to powerful tropical cyclones eventuate. Long-term tropical cyclones monitoring from space revealed a certain geographical regularity in the processes of powerful tropical cyclons origination and development. The main areas of tropical cyclons origination are insular regions of Southeast Asia in the Pacific Ocean and Cape Verde Islands in the Atlantic Ocean near the west coast of Africa. Traditional areas suffering from destructive tropical cyclones are the coastal zone of the United States, Mexico, Cuba, Japan, China, Philippines and in the Far East of the Russian Federation. Similar phenomena in the form of tornadoes are observed periodically off the Black Sea shores in the southern regions of the Russian Federation.

In the areas being subjected to destructive cyclones and tornadoes, people die, houses, bridges and other engineering structures are destroyed.

As the result of tropical cyclones origination, the flights of civil aircraft are canceled, and sometimes destruction of aircraft staying at the airport occured.

The deficiency, at present, of adequate physical model of tropical cyclone origination and development does not allow elaborate a strategy for successful abatement with these natural disasters. The abatement with negative impact of destructive tropical cyclones so far is narrowed down to passive warning of population of possible natural disaster towards ensuring timely people evacuation from the potentially dangerous regions to the safe ones.

The presented article performes an assessment of the atmospheric electricity impact on the powerful tropical cyclones dynamics and demonstrates the possibility of creating an experimental setup for physical modeling of the processes accompanying the destructive tropical cyclones evolution.

Understanding the nature of origination and evolution processes of high-power tropical cyclones will allow create a scientific and technical basis for strategy developing for reliable and effective abatement against these natural disasters, by suppressing the process of powerful air vortices developing at the initial stage of their development.

The article presents the results of experimental and computational studies of the model flow-around of a small-sized aircraft of normal scheme in the range of Reynolds numbers of Rе = 2÷8 х 10⁵. Experimental studies were performed in the T-102 TsAGI wind tunnel on the full model and the “fuselage-wing” combination both with and without accounting for horizontal and vertical empennage. The tests were conducted at flow rates of 10÷55 m/s, and the turbulence intensity of the incoming flow was about 0.4% at the speeds of 20 m/s and higher. With this, the range of angles of attack was α = -5÷40° for forward and reverse runs, and the range of slip angles was β = -20÷20°. Special attention is being paid to the efficiency of aerodynamic controls. Basic model has the maximum lift coefficient is C_{ya max} = 1.2 at α = 10÷12°; drag coefficient at zero lift is C_xa0≅0.017; maximum aerodynamic quality K_max ≅ 21 at C_ya≅0.5. The computational study was conducted based on Reynolds-averaged Navier-Stokes equations with closure by turbulence model SST + γ — Re_θ. In the described conditions at cruise angles of attack, the laminar-turbulent transition on the wing occurs in the form of laminar separation on the upper surface followed by turbulent reattachment (“laminar bubble”). The Reynolds number affects significantly on the flow at supercritical angles of attack, i.e. with the Re increase, the lift and drag increase along with critical angle of attack. On the most part of the wing the effects of three-dimensionality are weak due to the small sweep. The computed flow fields also revealed the presence of the resource for the model aerodynamic characteristics improving. While computing and experiment, satisfactory agreement was reached on the basic characteristics of the complete configuration for the subcritical angles of attack.

Flange joints with metal deformable seals are used in piping systems of aviation and space engineering. The article presents the joint with non-contacting flanges, sealed-off by the Z-shaped sealing installing in the unit. As the result of the threaded joint tightening, the flanges close in, squeezing the seal, which elasto-plasticaly deforms herewith. The problem of obtaining a technique for calculating the seal stiffness and its strength analysis is being set. The seal is considered as a profiled axisymmetric ring, subjected to power factors being axisymmetric as well. Theoretical study was conducted, within which framework the K.B. Bitseno theory of rings axisymmetric deformation and I.A. Birger method of variable elasticity parameters were considered with the view of their combining.

Since the seal in the presented problem is subjected to the pure bending, the authors consider its bend stiffness only. The article presents derivation of basic relationships of the design procedure of the Z-shaped seal, elasto-plastically deformed while the joint tightening. It presents the basic assumptions, which allow simplify the technique, making it fully applied. Similar to any other calculation, performed by the I.A. Birger method of variable elasticity parameters, the technique obtained in the article is iterative as well. It can be applied in strength analysis of flange joints while calculating stress-strain state of the Z-shaped seal.

Finally, encompassing rather narrow spectrum of structures types, the research problem solution possesses utterly high potential for further application in similar tasks, where computing of the stress-strain state of the profiled ring being elasto-plastically deformed is required. The main advantage herewith of the obtained design procedure is its relative simplicity due to the fact that elasto-plastical problem is solved completely by the theory of elasticity methods, which is inherited from the above mentioned method of variable elasticity parameters.

Piezoelectric effect was discovered by the Pierre and Jacques Curie brothers. The essence of the piezoelectric effect consists in the fact that electric charges originate on the surface of crystals of certain classes while their deformation, and vice versa, mechanical strains occur in the crystal under electric field impact. Functional structural elements based on piezoelectrics application are widely employed in various fields of engineering, automation, computer engineering, and especially in the aerospace industry. Such structures are rather technological and allow effectively control their deformations. Thus, studying and computing the stress-strain state of structural elements from piezoelectric materials is an up-to-date task.

The article suggests a version of a refined theory for electroelastic state calculating of cylindrical shells from piezoelectric material. Mathematical model is built based on the three-dimensional equations of theory of elasticity. The problem of reducing three-dimensional equations to two-dimensional ones is realized through representing the required displacements by polynomials along the normal coordinate two degrees higher with respect to the classical theory.

A system of differential equations of equilibrium in displacements and potentials was obtained using Lagrange variation principle. Operational method, based on Laplace transform, and Maple software are employed while solving the formulated boundary value problem. Shell deformations are obtained by geometric relationships, tangential stresses are determined from the Hooke law relationships, and transverse stresses are determined from the equilibrium equations of three-dimensional theory of elasticity. Electric potential distribution on the shell surface is obtained by direct integration of the electric field intensity expressions.

A cylindrical shell from PZT piezo material is being considered as an example. Let us apply an electric potential on the upper and lower surfaces of the shell with hinged-fixed edges on the boundaries. Based on the computational result, the article demonstrates that with the absence of mechanical loads, and electric potential action only on the shell surface the stress-strain state existed inside the shell.

Comparing the results obtained in the presented work with the classical theory data allowed establishing that while studying electroelastic state of the cylindrical piezo shell near the zones of the stressed state distortion, for example, near hinged edges, the refined theory should be employed, since maximum stresses in this zone were being substantially refined.

In the boundary zone, transverse normal and tangential stresses, which are neglected in classical theory, appear to be of the same order with maximum stress values corresponding to the classical theory. Such high levels of additional stresses should be accounted for when evaluating the strength and durability of shell structures.

The article is devoted to the experimental studies on vibration load reduction to an acceptable level of the space complex structural elements from the disturbances by devices with moving masses by a magneto-fluidic vibration protection system with an adjustable elastic-damping characteristic

According to the authors’ opinion, namely the magneto-fluidic vibration protection systems are capable of reducing the vibration load of scientific equipment to the levels that ensure its proper functioning under the impact of internal disturbances sources, such as devices with moving masses. Magneto-fluidic vibration protection systems with adjustable elastic-damping characteristics allow direct coupling of electric control channels with the actuating devices of the vibration protection system without intermediate mechanical devices. The high-speed response is ensured thereby, and the structural scheme of the vibration protection system is simplified.

Changing current in the electromagnetic control coil, the experimenters controlled magnetization of the magneto-rheological suspension and, adjusting the elastic-damping characteristic of the vibration protecting system in relation to the movable masses rotation speed, they managed to:

– “cut back” peak values of the force-torque characteristic in the low-frequency region in the area of resonant peak of vertical oscillations to the levels below the allowable one;

– reduce peak values of the force-torque characteristic by 40% in the region of the force-torque characteristic resonant peak of flexural-and-torsional vibrations.

The authors experimentally affirmed the concept of possible reduction of the vibration loading on scientific and precise equipment of the space complex of parasitic disturbing impacts from the force-torque devices with movable masses throughout the whole range of their cranking speed by the magneto-fluid vibration protection system with adjustable elastic-damping characteristic.

The vibration isolation effectiveness with simultaneous required vibration loading ensuring can be achieved by “blocking” the vibration isolator operation in the low-frequency region and excluding generated hazardous manifestation of vibration isolation resonant peaks and “turning-on” the vibration isolation effect of the vibration protection system in both medium- and high-frequency ranges.

The presented article regards issues of developing and modelling a digital beam-forming architecture of a digital antenna array based on a problem of homogeneous electro-magnetic wave incidence on a curtain of a linear digital antenna array. It presents requirements and basic suppositions for realizing modelling process of digital beam-forming algorithm based on matrix beam-forming scheme. Analysis of previous generation transceivers structures and their differences from the structures of modules, which could be built based on the up-to-date technological level, was performed. The issues of digital antenna arrays building, employing state-of-the-art units for digital signal processing, involving functional schemes and data processing algorithms of higher-end, are tackled as well.

The article offers a modification of the of matrix beam-forming algorithm, employing discrete Fourier transform, as well its modification, ensuring numerical simulation modeling. A feature of the beam-forming scheme algorithm operation is that the process of beam forming is performed separately for each spectral component of the input digital signal. It allows eliminate the beam frequency variation effect, and improve thereby directional and frequency properties of the array as a whole. The article considers all steps of the input digital signal conversion throughout the beam-forming scheme. Methods for phasing and spectral matrices computing, as well as their application for digital signal computing at the output of the beam-forming scheme, are presented as well.

The article presents a technique for the digital direction pattern and its characteristics evaluating for digital antenna array with the digital beam-forming method under consideration. Numerical simulation results of the system operation, including parameters evaluation of the direction pattern for harmonic input signal and it spectrum, as well as examples of digital signal and its spectrum at the output of the beam-forming scheme being modelled are presented.

It is shown that the presented algorithm ensures forming of the angle selectivity properties of the antenna array.

In conclusion, considerations on the possibility of application of up-to-date high-performance hardware for analog-to-digital conversion and signal processing are presented.

The results of the presented work can be applied for developing state-of-the-art and prospective digital antenna arrays for communication or radar systems. Such kind of systems impose high requirements on the processed signal bandwidth, number of ranges of adaptive radiation pattern forming and possibility of multi-beam reception.

Decentralized mobile MANET networks (Mobile Ad-hoc Network) are self-organizing radio networks with a topology without basic stations. The presented work is devoted to the study of MANET networks performance improvements. Mainly, the two-rank MANET network concept is considered. It supposed that single-rank MANET network conversion into the two-rank topology would improve the network operation in a part of such parameters as throughput and average latency. Many merits and demerits, the main from which was the small coverage zone and its impossibility of widening by technical means, were revealed while studying properties of this class of networks.

A simulation model of the proposed two-rank architecture of the MANET network was developed in the Network Simulator 3 simulation environment. Based on the simulation results, two graphs were plotted, namely, the dependence of the average latency value and the dependence of the batches delivery coefficient on the data transfer rate.

Modeling was performed in three stages. The first stage was the MANET ad-hoc network consisting of 350 nodes modeling. Based on the results, a graph of the network bandwidth dependence on simulation time was plotted. The values of average latency, throughput, a share of lost batches and average route setting time were obtained as well. The second stage was the MANET two-rank network simulation. Characteristics of the network interaction similar to those at the previous stage, and a graph of the throughput versus simulation time were obtained. The third stage consisted in both single-rank and two-rank MANET networks simulation with gradual data transfer data-transfer rate value changing. Two graphs were plotted by the results of the simulation. They are the dependencies of average latency and batches delivery coefficient on the data-transfer rate. The effectiveness of the proposed two-rank network topology allows achieving an average gain of 15-30% compared to the classical MANET networks representation in parameters of throughput and average network latency. Basing on the simulation model operation, inferences can be drawn on the communication quality improvement practicality by the two-rank topology implementation in the MANET network.

The article presents a technique for rectilinear trajectory detecting of an aerodynamic target in space based on the Hough transform, which can be used in modern radar systems. This technique allows solving the problem of trajectories detection of aerial objects in conditions of low energy availability of radar signals.

A technique for the rectilinear trajectory detecting of an aerial object in space is based on the tracking-before-detecting technology employing the Hough parametric transform. The article suggests an option of this technique realization for ground-space multi-position radar system for aerodynamic targets detection. A technique for Hough transform application for straight lines selection in space consisting in 3D image projection onto orthogonal planes, rectilinear areas extraction on these planes and backward merge of the selected fragments into a straight line in space was developed. Both algorithm of space-time marks selection, belonged to the selected straight line, and algorithm for identifying segments on a plane into segments into space were applied. Detection quality indicators computing was performed, and an optimal threshold for decision-making on the trajectory detection was selected on their basis. The article presents the results of the suggested technique operation obtained by modelling in Matlab.

The suggested technique for detecting a rectilinear trajectory of an aerodynamic target in a ground-based-space multi-position radar system allows detecting rectilinear trajectories of aerial objects in space at low values of the signal-to-noise ratio.

At the beginning of radio communication systems development, the main task consisted in establishing contact between two subscribers. However, improvement of radio facilities and increase in their number in all over the world, has led to the need of ensuring an error-free information exchange through communication channels.

Various noise protection techniques are used to solve this problem, and adaptive control of the antenna directional pattern in particular. However, in conditions of non-stationary interference, noise immunity techniques can be realized, if information on radio emission sources location was previously obtained. It is well-known that spectral methods (super-resolution methods) for processing signals, received from the antenna array (AA) outputs, allows estimates forming of the radio emission source angular coordinates rather accurately.

The super-resolution methods are splitted into two groups according to the scanning technique, i.e. the ones with sequential and parallel direction finding of radio sources.

The first group includes such techniques as thermal noise technique, Keipon method, and method of multiple signals classification (MUSIC). The output goal function of such methods represents continuous dependence of the output signal power on the angular position. In the space scanning process by mathematical reference signal, maximums of the objective function correspond to the angular coordinates of the radio emission sources. These methods are applicable to antenna arrays of any configuration.

The second group of methods with parallel scanning includes the Pisarenko, the subspace rotation (ESPRIT), and the ROOT-MUSIC methods. However, for practical applications, structural limitations on the antenna arrays shape are imposed on this group of methods.

A method for multiple signal classification (MUSIC) is employed for angular coordinates monitoring system realization in the presented work. It possesses the best of all resolution from the group of methods with sequential space scanning, and is applicable for antenna systems of any configuration.

The MUSIC method operation consists in employing the signal and noise subspaces of the correlation matrix input signals, with which the objective function evaluation and direction-finding peaks formation proceeds

The process of the angular coordinates monitoring system operation is performed based on 25-element flat rectangular antennae array. Both narrow-band and broadband signals are employed as radio waves. The result of the work is formed direction-finding peaks obtained in the course of the studies. Evaluation of qualitative characteristics of this method was performed as well.

The issues of near and outer space studying are actual fr om both scientific and practical viewpoint. From scientific viewpoint, it means studying the Solar system (including asteroids, comets, distant Galaxies). From a practical point of view, this is the control of space objects and the monitoring of the contamination of near-earth space with space debris. As for practical viewpoint, it means space objects control, and monitoring near space, littered by space debris.

To solve these problems, systems of outer space control are being developed in Russia, the United States and other countries. An important component of the US space control system is the ground-based electronic-optical deep space probing GEODSS complex (GEODSS — Ground based Electro-Optical Deep Space Surveillance).

Based of well-known tactical and technical characteristics accessible in open information sources, the article considers a technique for detection characteristics estimation of photometric channel of ground-based Electro-Optical GEODSS system.

In contrast to the well-known works, the presented article accounts for significant unevenness of the quantum efficiency of modern photodetector devices operating in visible range. The assessment is performed according to reference objects in geostationary orbit. Estimation of possibilities for applying Johnson bands for solving spectral selection problems is also considered. Basic expressions for computing both the integral signal-to-noise ratio and in Johnson bands are given.

To assess the energy parameters of the telescope, two types of reference objects with specified characteristics are considered, namely a mirror and diffuse spheres.

Photometric channel modeling of the optical-electronic system GEODSS allowed determine the main detection parameters of reference objects in geostationary orbit. The article demonstrates that this opto-electronic system is capable to detect a mirror sphere of 5.6 cm in diameter in the geostationary orbit at accumulation time of no less than T_a = 2 s, while it detects a diffuse sphere of the same diameter at accumulation time of T_a = 1 s.

The worst detection conditions are formed in the 800–1000 nm band, wh ere the quantum efficiency of the CCID-16 detector is low (n < 0.35). As the result, even at T_n ~ 50 s, the detection conditions are not met.

However, in the three Johnson bands (400–500 nm, 500–600 nm, 600–800 nm), the optoelectronic system works efficiently with both mirror and diffuse spheres. Thus, the optoelectronic system receives spectral characteristics of space objects and can solve the problems of their recognition.

Two main tasks are being solved in the process of space surveillance. These are space objects detection and their tracking to maintain necessary accuracy of the orbit parameters. Unpredictable parameters changes of a space object movement, caused by the propulsion system starting (maneuver), spatial orientation changing or destruction, can become the cause of tracking process failures. To avoid such situations, timely detection of such unpredictable movement parameters changing while trajectory changes processing and solve the problem of a space object movement parameters refinement are necessary.

Analysis of known ways of unpredictable changes detecting in movement parameters of space objects revealed that with information limiting existing in practice, the quality of space monitoring problems solution can be ensured through the application of trajectory measurements processing methods with the space object maneuver detection.

Considering practical implementation of such method, employed in the process of outer space monitoring, reveals that maneuver-detecting problem is solved currently with acceptable quality under the standard conditions of space objects tracking. However, in some cases, such as emergency (off-normal) situations onboard an important spacecraft, the requirements for operativeness of supplying a customer with information on a spacecraft movement parameters may be significantly increasing.

The article considers a method for detecting and determining parameters of a spacecraft maneuver performed on the time interval between the two adjacent stages of its monitoring by measuring tools. This method employs a spacecraft orbital parameters changes as informative signs for maneuver detection. Maneuvers parameters determining (maneuver time and speed increment) is being performed using relationships of the linearized spacecraft movement model. Based on simulation, evaluation of its application effectiveness while maneuvers parameters of low orbit spacecraft detecting and determining was performed.

In contrast to the known ones, the advantage of the regarded method consists in the possibility of increasing efficiency of both maneuver detecting and its parameters determining in conditions of the existing information limitations. The results obtained using the method for maneuver parameters evaluation can be used to solve the problem of a spacecraft movement parameters refinement.

The article regards the problem technological equipment unification for launch vehicles of «Soyuz» family. This problem consists in the fact that in the process of modernization, a vast nomenclature of spaceport equipment and launch vehicles modifications appeared. However, their compatibility is not foreseen herewith at present, i.e. the newer modification of a launch vehicle cannot be connected to the spaceport equipment, and, vice versa, technological equipment of new generation does not fit for launch vehicles of older modification. Besides, simultaneous maintenance of several equipment complexes increases maintenance time and cost. This problem is now being solved by installing a new generation equipment at both launching and technological complexes, leaving the old kit at its place. However, this kind of modernization leads to stoppage of regular operation of launching and technological complexes for the time of installing and testing. Different technological equipment kits have both various operational documentation and differing operation technologies, which enhances requirements to maintenance staff. An operator of the same system of various modifications has to know all specifics of their operation. In case of emergency, he must understand clearly operation logic of that particular system, which he operates at this particular moment. It leads to technical maintenance costs increase, and, thus, to a rocket launching costs increase as well.

As part of this problem solution in the field of equipment for the of fueling level measuring, the article proposes a universal capacitive sensor of the of fueling level with a compensation section for the «Vostochny» spaceport, and the scheme of its connection, as well as the analysis of extra errors of capacitive sensors.

As the result of additional errors studying, associated with the fuel both temperature and environment changes, an analytical expression determining the total temperature coefficient of the level sensor, linking up temperature coefficients of component materials, and fuels under control, was obtained.

A limit of mass-size indicators was exceeded while developing a variant of onboard defense complex (ODC), which included the active jamming radar station. In this respect, the decision was taken to realize the ODC control and monitoring unit based on another structural basis, i.e. in the form of microchips with irregular structure. Such microchips include both thin- and thick-film substrates with high-precision resistive elements. The thin-film substrates are produced by the technique of vacuum-heat sputtering on a glass ceramic substrate. The thick-film substrates are fabricated by the metal-screen printing technique with subsequent burning-off. Schematic design stage revealed while workable samples testing that laser adjustment operation did not ensure the required reliability of film-elements. Studies of other adjustment techniques were conducted. As the result of experimental studies, the adjustment technique for resistors processing by the high frequency torch discharge was selected. The main advantage of this method is the moderate temperature in the processing area. This excludes subsequent element material degradation processes. Further studies confirmed high reliability of film resistors after adjustment. Simulation of this technological operation was performed.

The algorithm for resistors adjustment by processing them with the high-frequency torch discharge is presented. The feature of this method is that it allows simultaneous of the element mounting to the zone of adjustment and a gap size calculating. Thus, the gap computing time is not accounted for directly during adjusting process. The program allows determining the gap values dependencies on a number of parameters of the affecting system. Computing results herewith are being presented in the form of graphs, which can be used afterwards. Besides, computing of other parameters, included in the adjustment model, is provided.

The algorithm ensures high precision of calculations and can be used for process automation of microchip elements adjustment, and solving the problem of this operational control of the process The program is written in LabVIEW language. Mathematical model of microchips film-elements adjustment by the torch discharge was used while developing the algorithm and calculation program.

The paper is devoted to the multiclass pattern recognition problem in its geometry statement. Such problems are often occurring in various areas of financial mathematics, diagnosis and forecasting. There is proposed a geometry based approach connected with separatebility properties of convex hulls of sets of finite-dimensional space.

The multiclass pattern recognition problem under consideration is to construct a decision rule to assign an arbitrary input point to some class of the training sample. The main idea is to construct a convex hull for each class of training sample and then to assign an input point to such a class which convex hull will be the most closely to the corresponding point. It is shown that in case when classes of the training sample do not intersect (by points), the proposed approach entails the uniqueness of the decision rule. In general case, it is required that the convex hull of each class does not contain points from other classes. The problems, which training samples satisfy this condition, were called as convex separable set solvable.

The results of computational experiments show that a number of classic pattern recognition problems are convex separable set solvable. In particular, there are presented in the paper the results of computational experiments using test data of the public library. As it turned out, the Iris Fischer problem – fundamental in this particular class – is a convex separable set solvable. Moreover, the constructed decision rule provides the classification of the training sample corresponding to the best known solution. This non trivial fact allows one to expect a high application efficiency of the proposed approach.

It occurred that the hardest stage of the proposed approach is to construct convex hulls for training sample. For these purposes, there were used well known Gale transformation for a sequence of points and after that a convolution S. N. Chernikov’ algorithm to search a minimal infeasible systems of an infeasible system of linear inequalities. These auxiliary algorithm is based on the previously proved dual relationship between hypergranes of a convex polyhedron and multiindices of minimal infeasible systems of an infeasible system of linear inequalities. The corresponding procedure were described in the paper in frame of the small academic example.

It should be also noted that the formalization of the class of convex separable set solvable problems of multiclass pattern recognition, as well as the further development of methods for constructing a convex hull in a finite dimensional space, are objects of further research.

An application meaning of the results obtained, in addition to the above mentioned problems of financial mathematics and forecasting, are also connected with important industry problems such as, for example, metallurgical production. One of the most important problem in such production is to reduce manufacturing errors due to reassignment or complete termination of irrational technological routes. In this regard, the direction of further research could be associated with mathematical modelling, and its continuation in frame of multiclass pattern recognition, to solve problems on the operational technological routes control in the discrete production (in particular, un the metallurgical production).

The article regards the of statistical analysis tools of the distant learning systems (DLS) operation analysis aimed at adapting user’s individual tasks forming process to create his individual training trajectory and control of a compromise of answers. Probabilistic model of the time consumed by a user for the responses to the task is taken as a basis for the user responses compromizing algorithm. The Van der Linden model with log-normal response time distribution is used herewith. The left-hand confidence interval is formed with its aid, and in case, if the user’s response goes beyond its boundaries, a signal to the system administratof is generated on possible compromizing of the response. A certain set of system administrator actions exists herewith based on the signal occurrence, namely the task substitution, tutors’ face-to-face cpnversation with the user, etc. The DLS user individual trajectory forming algorithm is built based on the Rush Model of the probability of right response of the user to the task. The model parameters are the level of the task complexity and the level of the user’s abilities, which are assessed by the maximum likelihood method. User’s individual trajecroty is formed stage-by-stage. Individual task fo the user is formed for each course section by integer programming problem solving method, which parameters are the total complexity level selected by the administrator, and evaluation vector of tasks complexity, obatained based on the Rush model. Individual learning trajectory correcion is performed by limitations in the integer progamming problem, controlling the total complexity of the task, and by user ranking method by the user progress categories with the Rush model.

Depending on the category that the user enters, the administrator selects a specific level of total block of tasks complexity for the individual training trajectory generation task. The proposed algorithms for the individual training trajectory forming of the DLS user and compromizing his answers are implemented in the mathematical support functioning package of the MAI DLS CLASS.NET.

The article describes the implementation and experience in application of a simulation model of the Angara high-speed communication network, designed to build multiprocessor computing systems with high performance scalability on its basis.

The studies performed with the simulation model allowed working-out basic solution on the router micro-architecture; algorithms of its components operation; a batch format; basic operation; routing and arbitration algorithms; perform optimization of the router architecture parameters, including basic relation on throughput capabilities, network connectiveness, memory buffers size; balance throughput capabilities of the router components, and perform verification of the custom ASIC. Based on the results of the simulation, the final technical appearance of the router was formed, implemented both in custom ASIC and in Angara communication network equipment based on it.

The experience gained can be employed to create perspective samples of network equipment.

The article gives an account of aerodynamics numerical modelling to determine rotational derivatives of aircraft heel at angle of attack values range from – 5° to 90°. The aircraft reversed motion is being modeled, with this, the incident flow velocity vector and angular rotational speed vector are collinear. Numerical modeling (CFD modeling) of aerodynamics is based on solving the Reynolds-averaged Navier-Stokes equations, and closed by k-ε Realizable turbulence model, by control volume method. For CFD modeling of laminar-turbulent transition near the aircraft surface, the presented work employs wall functions of the Enhanced Wall Treatment type.

The results of stationary coefficients determining of aircraft aerodynamic forces and moments by CFD modeling are in good agreement with the results of experiments with a scaled aircraft model in a wind tunnel. Rotational derivative values of the roll moment coefficient obtained from the of numerical modeling and experimental results are also in good agreement with most values of the aircraft angles of attack. Values mismatch of the lateral force derivatives and the yaw moment with respect to the angular roll velocity obtained by different methods is determined by the corresponding aerodynamic disturbances and measurement errors during their experimental determination. For further research trend, the authors consider reproduction of experimental conditions of a wind tunnel in CFD modeling, such as structures of model mounting, consistency assessments of experimental data recording with the model rotation frequency and eddy formation frequency. As a whole, the results of the study reveal that CFD modeling allows determining not only coefficients of aerodynamic forces and moments, but their rotational derivations by the heel velocity. However, conducting of extra experiments seems up-to-date for verification of various approaches to rotation modelling.

Along with the development of computational methods for studying the strength characteristics of aircraft structural elements, a field experiment is widely used, reproducing the real impact of birds on aircraft structures at the collision in flight. The presented article is devoted to the study of the hail shot characteristics and trajectory problem solution of uncontrolled flight of an arbitrary shaped rigid body for full-scale tests of experimental and serial aircraft engines on durability by test bench, simulating the hit by birds or hail.

The full-scale tests on of large birds’ ingress in the aircraft engine, which, according to current regulations, are performed on a running engine, or rotating impellers of fans or compressors on the test benches are extremely cost intensive. Thus, it is expedient to perform computing analysis of the working blades resistance to the impact interaction with a bulky bird and hail prior to the full-scale tests conducting.

Test bench installations for conducting tests on blades resistance to impact interaction with a bulky bird or hail should maximally reflect conditions of real interaction of full-scale impeller with a bird or hail. They should also satisfy a lot of hardly compatible requirements, such as mathematical model for computing internal and external ballistics of the test bench, trajectory problem solution of a solid body uncontrolled flight, which we will try to solve in the presented article.

With a view to aircraft and rocket engineering rapid development, considerable complication of aircraft design and cost intensity of its developing, the effectiveness significance at the early stages of design, when aircraft basic structural characteristics are being selected and nominal parameters of its movement are determined, increases.

Occurrence of small asymmetries, as well as small thrust eccentricities for aircraft with power pack, due to technological errors while aircraft components fabrication and their assembly, is possible during production process of various types of aircraft.

The article deals with the algorithms of nominal and perturbed motion parameters of ballistic aircraft while operational change of target marking in flight. The presented algorithms are based on an aircraft mathematical model, which, in its turn, allows ensuring achieving the target movable point in condition of operational changes of target marking.

The applied directedness of the guidance theory is confirmed by the fact guidance system, materialized as the result of the guidance theory application to solving specific problems concerning control of the aircraft center of mass, is necessarily a part of the ballistic aircraft control system.

Equations of motion (basically, Cauchy differential equations) and a technique for differential equation solving form the basis of the mathematical model. The mathematical model complements gravitational field characteristics, atmosphere characteristics, the aircraft dynamic characteristics, and its power pack characteristics.

In the general case, the problem of mathematical modelling of the elastic flying machine dynamics is split into, at least, two more problems. The first one is direct modelling of the elastic flying vehicle behavior, determined by the interacting forces, and the second is accounting for action of flowing forces and moments, stipulated by the elastic flying vehicle deformation, and control system operation.

The presented article considers theoretical basics of the approach to the solution of the set problem, based of real aircraft structure substitution by the equivalent scheme and its realization for the rockets as the simplest from the sketchness viewpoint class of aircraft. Accounting for the aerodynamic forces and moments herewith, caused by the aircraft elastic deformation, is realized based on the simplified stationary hypothesis.

The article proposes an improved model and algorithm for effectiveness assessing of anti-missile defense overcoming by hypersonic aircraft with regard for aviation complex counteraction. To assess the overcoming effectiveness, a corresponding model of aviation anti-missile defense complex effort was proposed. Setting of matrix game between a hypersonic aircraft and anti-missile aviation complex with effectiveness matrix filling out for subsequent selection of the most effective, from the viewpoint of antimissile defense, flight path was proved. The developed model and algorithm relevancy are emphasized by the fact that they can be employed for the process modelling of anti-missile defense overcoming by the hypersonic aircraft and its effectiveness assessment with regard for the aviation complex counteraction at any option.

Hypersonic aircraft with necessary aero-ballistic quality and capable of performing atmospheric maneuvering at rather long distances from the object to be protected, are effective enough means for target hitting, covered by conventional and prospective anti-missile complexes of the missile defense system.

The idea of aircraft component introduction into missile defense system is not novel. The possibility of a spacecraft destruction by the missiles launched from aircraft complexes was previously considered. Since the spacecraft moves at present over the paths with calculated parameters, aiming at them is being considered as stable.

As for the hypersonic flying vehicles problem, their destruction by aviation systems of missile defense system will obviously be much more complex. Nonetheless, it is viable in principle, and in a number of cases, its fulfillment from the enemy viewpoint may be more effective than performed by ground-based and/or marine missile defense system complexes.

The article considers the problem of numerical solution of a linear system of equations with a fuzzy rectangular matrix and a fuzzy right-hand side. An uncertainty of the parameters, described by the intervals of possible values, presents, as a rule, in the practice of engineering and economic calculations. Besides, the level of confidence, set in the fuzzy set theory by the so-called membership functions, may be assigned to the numerical value from the interval. One of the possible types of membership functions are triangular ones, which set triangular fuzzy numbers. The authors suggest employing the triangular numbers description in the form of an average value and deviations from the average value. A technique for fully fuzzy system solution, employing the more accurate formula for the fuzzy numbers product, correct in the absence of the assumption of scatter smallness around the average value, as well as the apparatus for obtaining pseudo-solutions of the systems of linear algebraic equations, was obtained in the article. The class of problems to be solved is limited to finding positive solutions of systems of linear equations, provided that the fuzzy numbers included in the matrix of the system and the right-hand side are also positive. Quite stringent condition were obtained, under which the solution of the system is positive. The article presents four examples, illustrating the proposed method application for systems with matrices of various sizes and ratios of the rows and columns number, as well as comparison of the obtained results with solutions obtained using well-known formulas.

The state of the up-to-date software tools and objective hardships of ensuring data control of the space equipment planning and control system (SE PCS) and its lifecycle management, related to the problem area complexity, require improving approaches to the corresponding problems solution. The problem of software and hardware tools (SHT) verification and their reliability is not yet solved in the general case. It seems that the reason for this is the lack of modelling and full coverage of the entire wide problem area, including both applied tasks and corresponding SHT. Thus, it is necessary to cover the entire problem area to ensure data control, and their management based on considerable data and knowledge on entire problem area under consideration. Data control should be performed over the entire life cycle of the spacecraft equipment planning and control system by modifications of various types of software components

In the case under consideration, such an approach requires a uniform formalization of the entire complex, non-uniform, but internally unified problem area, as applied to the task of data monitoring of the spacecraft control and its life cycle managing system. For such formalization ensuring, the author suggests radical modelling and RADICAL universal language of radical schemes. Thus, the goal of the presented work is brief description of the approach to ensuring data control of the spacecraft equipment planning and control system based radical modelling.

In general, the proposed approach is aimed at the wide application of software and hardware, standardization of the problem area of the spacecraft SE PCS and other complex ASs, and their intellectualization, i.e. the ability of solving contingency situations and self-learning on their basis.

The article proposes a new variant of resolve relationships of the soft shells theory. This variant differs from the existing ones by the numerical realization convenience. Both equations of large deformations theory and technical theory of soft shells are considered. The principle of virtual displacements is applied to derive equations of the shell equilibrium. Expressions for components finite deformations are used in the V.V. Novozhilov’s form. Functions of generalized forces were introduced to the final notation of variation equation. It allows setting down the equations of the soft shells theory in the form used while boundary problems formalization. As the result, the system of equations describing the soft shells behavior at large deformations includes the equations of equilibrium, additional projection relationships, dependencies, describing the true forces reduction to the initial state metric, and geometry relationships. For the system of equations closure, physical relationships, linking real forces with deformations, are used. Thus, the finally composed system consists of 23 equations with 23 unknowns.

While considering the technical theory of soft shells, deformations are assumed small, and forces, acting in the shell being deformed, are represented as a sum of two terms, corresponding to the main and additional stress states. The initial state geometry is considered as known. Forces and displacements corresponding to the additional state are being determined from the system of equations, obtained as the result of variation equation components linearization relative to the main state. As in the case of large deformations, functions of generalized forces are introduced for the additional state. As the result, a system of three equations of equilibrium is formed for the main state. The system of equations for additional state consists of 18 equations, and includes equilibrium equations, additional projection equations, geometrical equations and physical relationships. The system is supplemented by the boundary conditions.

The obtained relations are not pretending on fundamental changes or add-ons, but unlike the known relations they do not require reducing to a single equation relative to one variable. They can be reduced to Cauchy normal form, convenient for application of numerical methods for direct integration, and standard methods of ill-conditioned boundary problems solution.

Nowadays, high-pressure pipelines are widely employed aircraft and machine building in hydro-gas and fuel systems. While machines and mechanisms production and operation much attention is paid to control of high-pressure pipelines made of high-strength steel, as well as aluminum and titanium alloys. Pipelines operate under conditions of low-cycle loading impacts from the internal pressure, stretching and torsion, which affect significantly on their long-term strength at various types of the stress-strain state and shapes of loading cycle. Under real operation conditions, these structural elements operate under both linear and complex stressed states. A serious problem of materials consumption and cost reducing arises in the course of designing, ensuring herewith the strength and durability of the part. For the structures failures prevention, overstated strength margins are specified, and, as a consequence, increase their materials consumption and cost. However, with this approach microstructure damages of the material and abrupt change of the material strength while damage accumulation while fabrication and operation are not accounted for.

The problem solution consists in setting quantitative and qualitative dependencies of the material microstructure changing and long-term strength, which defines structural materials durability and residue resource of object under operation.

The acoustic emission (AE) method is the most suitable for these changes recording. The AE reflects microstructure reconfigurations of structural materials under the impact of any loads, but calculations should account for the most informative AE signals from the defects, which are not recovered during further operation, with fractal dimension of attractor signal of 1 ≤ D2attr ≤ 6 .

The article considers technique of durability forecasting of the pipelines under the impact of low-cycle loads at different loading trajectories in the two-dimensional stress space in a plane stress-strain state employing the acoustic emission method. The problem of determining the high-pressure pipelines durability depends on the dangerous damages accumulation in the structural material of pipelines as the result of plastic deformations accumulated from low-cycle loads, characterized by high stresses, various cycle forms and loading trajectories. The residual life evaluation of the existing pipelines is currently based on the latest achievements in the field of fracture mechanics, metallurgy, non-destructive testing methods, and current design standards for strength and conditions of actual operation. The existing methods herewith do not account for microstructure evolution of the structural material in real time. The acoustic emission method allows accounting for transformation of the structural material microstructure in real time, and predict the residual life.

The proposed method allows significant reduction of the laboratory tests number for predicting the high-pressure pipelines durability under the impact of low-cycle loads at various loading trajectories.

The existing methods for determining critical Reynolds numbers of laminar-turbulent transition are related mainly to determining the loss of linear stability of laminar flow mode [1-3]. However, the attempts for resolving the best-known “classical” problems of the hydrodynamics are far from the success. Thus, the Hagen-Poiseuille problem and the flat Couette problem possess linear stability for any Reynolds numbers. There is a limitation on stability for laminar flow mode of the flat Poiseuille flow. However, the critical Reynolds number for stability loss computed by Orszag is 5772, which is exceeds experimental data almost six times.

The presented article continues the author’s circle of publication devoted to the solution of the hydro-dynamical problems, assuming an analytical approach existence for their consideration. The possibilities of “discontinuous functions” method application for theoretical estimation of the critical Reynolds number value of laminar-turbulent transition for the Hagen-Poiseuille problem and the flat Couette problem are studied in [17-18]. The method may be applied in the cases, when different functions specifying various physical processes exist, such as laminar and turbulent flow modes, as well as the jump-like transition from one physical process to another.

The author succeeded to analytically define functions, describing quasi-stationary turbulent and stationary laminar flow modes for the Hagen-Poiseuille problem and the flat Couette problem. These problems solutions were obtained at the cost of accounting for the entropy production in the Navier-Stokes equations, stipulated by stochastic pulsations excitation in the fluid flow. The similar approach to the velocity profiles determining both in laminar and turbulent flows applied in [19] for the flat Poiseuille problem solution. The presented work is devoted to the Reynolds number critical value determining by the “discontinuous functions” method in the for the flat Poiseuille problem. The critical value for Reynolds number at which laminar to turbulent flow mode transition was possible, was found. The article presents the results comparison with the available experimental data.

The article considers bending vibrations of the main rotor blades, linked through the “pylon–main rotor” support, as naturally stranded rods, in both traction plane and rotation plane. The general system of equations of vibrations for the “main rotor–support” dynamic system, and assumption resonant diagrams of the main rotor with corresponding amplitude-frequency characteristics in the form of dependencies of changes of coefficients dynamic by frequency for the loads, passing to the main rotor shaft, are presented.

To transform the system of linear integro-differential equations with partial derivatives and periodic coefficients, governing the joint bending oscillations of the main rotor blades and the main rotor hub on an elastic damping support, into the system of ordinary differential equations with periodic coefficients, Bubnov-Galerkin method was used. Transformation of the initial generalized coordinates governing each individual blade oscillations in rotating coordinate system into special generalized coordinates governing the joint oscillations of all rotor blades is demonstrated as well.

To analyze the computational results on forced vibrations being obtained, and collation with the experimental data on vibrations recording at the rotating parts of the hub, the motion pattern and vibratory processes character of the hub and blades, rotating in the rotating and non-rotating coordinate systems, are considered. The graphs, demonstrating the trajectory change of the point on the blade, and vibrational process character while transition from the rotating system to non-rotating one, are presented.

Computing of resonant diagrams and amplitude-frequency characteristics for MI-38 helicopter with six- and five-blade rotor with flexible plastic-composite blades. Comparative analysis of dynamic response of the “main rotor–support” system with various number of blades was performed together with corresponding amplitude-frequency characteristics plotting.

Based on the comparative analysis of the “main rotor–support” system dynamic performance for the two variants of the main rotor, and inference on the six-blade main rotor preference over the five-blade one was drawn for the MI-38 helicopter.

The article substantiated the necessity to account for logic gain of logic gates and integrated circuits. The authors suggest a new unit for the logic gain of microchips determining. The unit contains rectangular voltage generator, an integrated circuit being tested, a follower, loading elements, a switch, the AND gate, comparator, a pulse counter, a voltage reference source, univibrator, reversible pulse counter, decoder and indicator. The unit operates in both high and low level modes, and ensures high accuracy and validity of the logic gain determining.

Rectangular pulse generator, AND gate, pulse counter, voltage reference, and comparator are connected in the unit in series. The comparator output is connected to the second input of the AND gate. The input of the follower and signal input of the switch are connected to the output of the test circuit. The output of the follower is connected to the comparator second input. The univibrator input is connected to the comparator output. The output of the vibrator is connected to the subtracting input of the reversible pulse counter. The summing input of the reversible pulse counter is connected to the output of the AND gate. Each input of the decoder is connected to the reversible pulse counter output of the same name. Each decoder output is connected to indicator input. Each pulse counter output is connected to the cognominal input of the switch. Each of the outputs of the switch is connected to the cognominal load element 8-1 – 8-k, for each of which, starting from the second, the number of digital micro-schemes inputs, forming it and interconnected with each other, is two times higher, compared to the previous one. The unit allows determining the logic gain of the integrated circuit being tested by the high level changing (the first mode), and by the low level changing (the second mode) of its output signal.

Ensuring the second mode of the unit operation, allowing determine the logic gain of an integrated circuit being tested by the low level changing of its output signal, requires:

- Connecting the first input of the comparator to the follower output, and its second input connecting to the reference voltage source;

- To set the reference voltage source value to maximum allowable value of the the low-level voltage (logic zero) of output signal of integrated circuit being tested.

The suggested unit allows enhancing accuracy and validity of the integrated circuits logic gain determining. It is rather simple to operate.

Besides, the advantages of the unit compared to conventional ones consists in:

- the possibility to work with TTL, Schottky-TTL, and CMOS chips series;

- integrated circuits logic gain determining in two modes without changing the content of its blocks;

- ensuring automatic operating mode, and adaptability to changing microchips being tested and load elements 8-1 – 8k.

The article studies the issue of matching antenna arrays (AA), consisting of vibrators and cross vibrators, located above the final metal screen at a height of ≈ λ/4. This matching is performed within the frequency range of ±10% and scanning angle of ± 60°.

Vibrators are powered by ideal oscillators with controlled impedance, located between the vibrator arms. At the first stage, a comparison of “blinding” properties in planar and linear AAs is performed. The results of comparison revealed that “blinding” manifested itself more strongly in flat AAs. At the second stage, the AA configuration is selected to mitigate “blinding” effect. Since “blinding” appears only in the E-plane, and depends on the distance between the vibrators, the best location option is to turn the emitters at an angle of 45° to the edges of the AA. In the third stage, the optimal emitter option is selected. Emitters with straight arms, sloping arms, and pins of sundry heights between these types of emitters are compared. The largest minimum width of the array pattern over the gain antenna pattern within the frequency range and radiation level along the screen, which should be no less than —10 dB. The best characteristics are demonstrated by the grid of vibrators with straight arms and pins of 0.225 λ_av for both vibrator and cross vibrator AAs.

At the last stage, the selected variant is optimized for the height above the screen, arm length and generator resistance. The gain level equal to 0 dB is selected as an optimization criterion. The direction pattern width at gain of 0 dB within the frequency range of ±10% was no less than 118.4° for vibratory AA, and 118.2° for cross-vibratory AA. Maximum SWR value within the frequency band in the scanning range of the vibratory AA was 3.3

The width of the beam along the 0 dB be realized gain in the frequency range of ± 10% was not less than 118.4° for the vibratory AR and 118.2° for the cross-vibratory AA. The maximum value of the SWR in the frequency band in the scanning range in the vibrator AA was 3.3. For the cross-vibratory AA, maximum SWR value was 3.3 as well.

A mandatory item of the standard terms of reference for the implementation of scientific and research work (SRW) performing is the “Technical and economic requirements” item, which, in particular:

- establishes the limit value of the research cost;

- determins the stage at which technical and economic justification of the research continuation practicality is carried out;

- establishes the need to determine the estimated costs of implementing the results of research.

Each of items specified in the requirements is associated with evaluation of the technical complexity and efficiency of the designed information transmission radio systems (ITRS). Currently, the most common industry performance indicator of RW is a generalized indicator of the effect/cost. The research effectiveness justification is all the more necessary at the stage of determining the research contractor by the customer.

As a rule, the method of comparing some of the most important from the contractor’s view point characteristics of the designed ITRS with similar characteristics of a prototype is employed while technical effect assessing. With account for the dynamics of the characteristics being compared an inference is being drawn that the SRW performing will lead to the positive effect, and a new more efficient ITRS will be developed while the results of the experimental and development effort implementation. Besides certain voluntarism while the prototype selection and a set of compared characteristics, the drawback of this method consists in complexity of technical efficiency estimation, which may be explained by the necessity of vector indicator application, accounting for the values of individual characteristics.

The purpose of this article consists in developing a methodology for effect/cost calculating, based on the analysis of relative values of ITRS the main technical characteristics, formed by comparing these characteristics values with tmaximum potential values of the reference ITRS.

The relative indicator of technical efficiency, characterizing the effect of the R&D products being developed while the SRW performing, and economic efficiency indicator, characterizing increase of technical effectiveness per unit of the investment in the SRW under development, were suggested for estimating the effect/cost indicator widely used for SRW performing efficiency.

Rejection of subjective indicators of the preceding ITRS samples, which are being selected as prototypes at present, may be assigned to the advantages of the suggested indicator.

Currently, there are more than a dozen different independent IOT protocols with radically different characteristics. Each Protocol is being developed and employed for specific the tasks. Combining a vast number networks into a single infrastructure based on different standards will significantly increase the versatility and adaptability of the system as a whole. The article is devoted to the issues of networking and development of a macromodel of Multi-protocol interaction.

Networking can be performed at various levels. The article analyzes the options for integrating at both applications and at the sensors levels. In the first case, interaction is performed through the appropriate network gateways, data from which comes to the Multiprotocol application server, which clients are end users. The Uni on-level network of sensors means that each sensor contains both hardware and software, enabling data exchanges in the different networks with the corresponding mono-protocol gateways. With to the considered variants of separate networks combining, two main methods of organizing Multiprotocol control systems are proposed.

To solve the problem of management based on a local network node in a Multiprotocol system, each node is equipped with software and hardware to analyze parameters of its operation, the state of the networks, and the environment. In this case, based on the parameters obtained, the node is able to independently sel ect the working network. Multiprotocol system in this case consists of nodes capable of working in several networks alternately

To implement a centralized management system, a management center Advisory module is added to the network, which is responsible for distributing nodes across networks and reconfiguring the network. The decision is made based on the information received from each of the terminal nodes about the state of the node, sensors and sensors working with it.

Multi-position passive methods for radio emission sources coordinates determining are widely employed in radiolocation. A number of literature sources suggest various methods for coordinates determining, which have already become conventional.

Some these methods require exact knowledge of the signals time and phase structure, while the other employ dynamic properties of the radiation source and additional special measurements of angular coordinates, i.e. bearing angles. For both cases, the corollary is the complexity of the equipment capable of realizing necessary measurements with the specified quality. Thus, developing methods for coordinates measurement of radio emission sources, allowing reduce the number of measurements is an important scientific and technical problem, requiring its solution. The problem of signals phase and time structure comparison in spaced-apart receiving points at a large a priori uncertainty due to the presence of the uncooperative illumination source is rather complicated while considering a multi-position radar system with uncooperative illumination source. It is necessary to regard the other properties of illumination sources. A scanning mode might be this property.

The article puts forward a method for calculating the scanning radio emission source coordinates, based on measuring the time intervals between successive irradiation of reception points of a multi-position radar system.

The coordinates calculation of the radiation source is achieved by the following:

- Measuring the scanning period of the source;

- Calculating the scanning source angular velocity;

- Measuring the time intervals between successive irradiation of reception point of a multi-position radar system;

- Calculating the distances to the radio emission source and azimuthal directions, using the base distance between the reception points of a multi-position radar system.

When organizing scanning of the space in a multi-position radar system based on a searchless spatial-multichannel survey method, the proposed time-based method for determining the distance to a scanning radio emission source allows reducing the uncertainty of the of the radio emission source location, improving thereby the accuracy of coordinates determining the of secondary radiation sources.

The main advantage of the proposed method for coordinates determining of the scanning radio source is the minimum number of measurements, the absence of measurable angular quantities, and independence of the reception points spatial orientation of a multi-position radar system relative to each other.

Falling of separable modules of launch vehicles occurs after space launches. Detected separable modules of launch vehicles are being evacuated from the impact area for further utilization. Search operations in a hard-to-reach terrain may take a good deal of time and require heavy spending. The authors suggest employing airborne synthetic aperture radar (SAR) for operational search and detection of separable modules of launch vehicles. This radar characteristics may differ from the analogs at hand.

An inertial micro-navigation system is employed to improve data quality being acquired by SAR. Currently, micro-navigation systems are employed in a great number of airborne SARs

Measuring error of the micro-navigation system is determined primarily by the the errors of its sensitive elements (accelerometers and gyros).

The types of sensitive elements applied in inertial units, and gyro errors correcting techniques of micro-navigation system, accumulated while long-term operation, are described. Analysis of requirements placed to micro-navigation system with inertial blocks based on laser gyros was performed.

For the assessment, it is assumed, that the aircraft-carrier flight is performed at an altitude of 9 km with a speed of 200 m/s. Characteristics of SAR, operating in Ku, X and C frequency bands, and sensitive elements of the units were determined for this initial data.

Based on Pareto sets, a technique for optimizing the inertial block mass (with account for the laser gyroscopes drift) of the micro-navigation system, and permissible error in the radial velocity measuring was developed. The same technique may be employed to optimize the inertial block size.

The results of this work may be used for developing airborne various purpose SARs.

Specifics of spacecraft (SC) control by radio coverage zones and according to technological cycles of spacecraft control does not allow application of existing classical methods and techniques for planning ground spacecraft control means employing, which stipulates the necessity for original planning technologies developing.

Analysis of conventional planning of spacecraft ground control means application revealed that tha main planning problem consists in the necessity of conflicts resolution on the ground control means employing.

The main cause of conflict situations occurrence was determined as insufficiency of control means to realize requests from Mission Control Centers on communication session with space vehicles. The article presents the main conditions of conflicts occurrence, whereof the main is growth of the spacecraft orbital constellation. Analysis of conventional conflicts resolution process drawbacks, as well as possible aftermath of untimely or unsubstantiated decisions allowed formulate the basic problematic issues of conflicts resolution. They consist in operational efficiency increasing of decisions on conflicts resolution making and their validity.

The author suggests m ethods of problematic issues solving, consisting in

- automation of the decisions preparation process based on formalization of the said process,

- ensuring required values of confidence probability of expert evaluation on account of the expert panel of experts, consisting of no less than seven specialists, and expert evaluations concurrence (expert’s judgments expert panel opinions) with pre-arranged data for decision-making,

- processing firstly the top-priority requests;

- ensuring minimum damage from time shifting of conflicting requests realization.

The expected results of the suggestions implementation for problematic issues resolution are specified.

The article proposes an acoustic method for integrated control of multilayer liquids parameters, based on analysis of ultrasonic signal, propagating from the acoustic emitter upward the tank. The method is based on ultrasonic signal propagation upward the tank from the emitter through a multilayer medium. A line of acoustic receivers herewith is located above the emitter at a predetermined distance. In general, each acoustic receiver contains two channels. The first channel measures acoustic pressure using a piezoelectric transducer. In addition to the transducer, the second channel contains a buffer rod with fixed acoustic parameters, which allows determining the medium density. The fixed distance between the receivers allows determine the sound speed in the given layer. Thus, the media boundary height in the tank is determined by the propagation time. The liquid viscosity is determined by the attenuation. This method improves the accuracy and reliability of parameters measuring, as well as allows eliminate the need for an additional sound-collecting waveguide and reference reflectors, usually employed for high-precision measurements. The absence of the waveguide ensures a number of advantages. Firstly, with the line of receivers application the signal amplitude is much higher, than while employing reference reflectors, which significantly improves noise immunity and accuracy of the incoming acoustic signal front determining. Secondly, multiple signal re-reflections, hampering with the media boundaries positions determining, occur in waveguide measurements in the presence of additional reflectors. Acoustic receivers employed in the proposed method are small-sized and practically do not reflect signals, which allows determining even weakly stratified media. Thirdly, the waveguide presence impedes ensuring the same liquid stratification as in the tank itself especially while fuel drain/fill operation. While liquid adding to the tank, only the lower fraction enters the waveguide, which makes the layered media measurements inaccurate. Fourth, the waveguide absence allows employing practically any frequencies for measuring. The additional effects herewith peculiar to the waveguide sound proliferation do not arise. Structurally, the whole sensor consists of long studs, on which receivers and emitter are located. This design allows quick extraction of the sensor for precipitation removal and other maintenance operations.

The article considered various options of media location relative to acoustic receivers for measurements implementation, on which ground a signal-processing algorithm was developed. The following cases were considered: homogeneous medium with a medium level above the second receiver from the bottom; homogeneous medium with a level between the first and second receivers; several fractions, when each has more than two receivers; two fractions with media boundaries between the first / second and second / third receivers. This combination of the considered options allows obtain all the necessary cases while operation.

A prototype device was developed. With inexpensive components application it demonstrated the errors of combined measurements of level, density and viscosity of 0.1%, 5% and 12% correspondingly.

This article deals with the problem of wireless synchronization between onboard computing devices of small-sized unmanned aerial vehicles (SUAV) equipped with integrated wireless chips (IWC). Accurate synchronization between several devices requires the precise timestamping of batches transmitting and receiving on each of them. The best precision is demonstrated by those solutions where timestamping is performed on the PHY level, right after modulation/demodulation of the batch. Nowadays, most of the currently produced IWC are Systems-on-a-Chip (SoC) that include both PHY and MAC, implemented with one or several processor cores application. SoC allows create more cost and energy efficient wireless devices. At the same time, it limits the developers direct access to the internal signals and significantly complicates precise timestamping for sent and received batches, required for mutual synchronization of industrial devices. Some modern IEEE 802.11 IWCs have inbuilt functions that use internal chip clock to register timestamps. However, high jitter of the interfaces between the external device and IWC degrades the comparison of the timestamps from the internal clock to those registered by external devices. To solve this problem, the article proposes a novel approach to the synchronization, based on the analysis of IWC receiver input potential. The benefit of this approach is that there is no need to demodulate and decode the received batches, thus allowing it implementation with low-cost IWCs. In this araticle, Cypress CYW43438 was taken as an example for designing hardware and software solutions for synchronization between two SUAV onboard computing devices, equipped with IWC. The results of the performed experimental studies reveal that mutual synchronization error of the proposed method does not exceed 10 μs.

The inter-nodal communication network is a key component for mass-parallel supercomputers. JSC “NICEVT” has developed the first generation of the Angara high performance communication network designed for application as a part of multiprocessor computational systems (MCS) of petaflop class, and ensuring high computer capacity scalability at real problems solving.

The following main trends can be distinguished in the MCS development:

• connectivity enhancing,

•   optical connections application,

•   network adapter (NIC) and processor integration,

•   MCS universalization to extend application on mass market by supporting the Ethernet protocol family.

The second generation of the MCS Angara with multidimensional torus topology, which development is scheduled for completion in 2019, is designed fro creating an MCS of subexaflopcic performance range. It is characterized by the modified Torus topology support, and much higher NIC characteristics, allowing plugging-in up to four processors at each node.

In the course of specification development of the second-generation Angara communication network, besides the operational parameters improvement, emphasis was placed on a significant functionality expansion, aimed at effective operation in both the high-performance MCSs segment and for data storage and Bulky Data processing systems.

These functional capabilities relate to SR IOV virtualization technology support, batches protection from the third-party tasks, non-guaranteed batches delivery for TCP/IP protocols stack realization, more effective routing algorithms for supporting the networks with “modified torus” topology, zonal adaptive routing and other features.

The MCS Angara third generation, which development is planned to be performed in 2021-2023, is focused on supercomputers creation of exaflops range, and is characterized by further improvement in NIC characteristics and optical connections application.

At present, finite element method is the most widespread technique for solving the problems of deformable solid body mechanics. Its shortcomings are well-known and consist in the fact that while displacement approximation by a piecewise-linear function we obtain discontinuous tension. With that, it is worth mentioning that the majority of deformable solid body mechanics problems are described by the equations by the elliptic type equations, which result in smooth solutions. It seems relevant to develop algorithms, which would account for this smoothness. The idea of such algorithms belongs to K.I. Babenko. This idea was put forward by him in the early seventies of the last century. The long-term application of this technique for the elliptic tasks on eigenvalues proved its high efficiency. For example, the task on eigenvalues for the zero equation of Bessel was considered. With this, the first eigenvalue was defined with 22 signs accuracy after the decimal point on the mesh consisting of 22 nodes.

Unlike classical difference methods and finite-element method where dependence of the convergence speed on the number of mesh nodes is of power character, here we have an exponential decrease of error.

The first edition of the book by K.I. Babenko [22] contains the summary of fundamentals of the non-satiable numerical methods. It should be noted, that the studies in computational mathematics in this direction were not sufficiently popularized both in Russia and the world, and they are still practically unknown abroad.

Confirmation to this fact consists in the fact that nowadays an actual “rediscovery” (probably independent) of the same computational techniques started abroad under the name of “spectral” methods (S. Orszag, D. Gotlieb [4], E. Tadmor the USA). It is represented also by (h – p)-specializations of the finite element method (O. Widlund, the USA and S. Schwab, Switzerland), in which the power p of polynomials, employed for functions approximation within one finite element, increases simultaneously with the mesh refinement (i.e. at h → 0). Thus, we can only regret that the works by Babenko and his disciples appeared to be practically forgotten by now.

The article regard specifics of modelling and functional characteristics assessment of radio monitoring systems at restricted data on reliability parameters. It considers the issues of the systems mathematical models adequacy, including sundry approaches to the adequacy assessment. Approaches for earlier probability determination of hazardous event occurrence, which are based on trends extraction both in cases of noiseless assessments and in case of strongly noisy ones are presented. In the last case, the beginning, end and slope angle of the trends, which are employed while modelling radio-monitoring systems with random components, are extracted.

Specifics of failure flow intensity characteristics identification of the system elements while simulation organizing for analyzing failure flow intensity impact on the simulation results are considered, and recommendations are given for the cases, when the failure flow intensity is unknown in advance.

Specifics of mathematical simulation organization for the cases, when the failure flow intensity is unknown in advance, were considered, and analysis of the failure flow intensity effect on the simulation results was performed.

At present, unmanned aerial vehicles (UAV) are widely employed for surveillance and information acquisition. One of the main problems of successful UAV functioning is providing them with power sources. Traditional solution of this problem consists in employing electric batteries and hydrocarbon fuel, which eventually leads to the UAV free flight duty period limiting. However, equipping UAV with solar batteries is non-traditional, but rather perspective solution. Solar batteries are unique type of power sources, which allow performing 24-hours flights, when energy stored in accumulators is employed while nighttime. It is noted that at present UAV energy supplying by solar batteries placing on the upper surface of the wings is a prospective solution to this problem. Numerous facts of this idea realization proved the effectiveness of solar batteries application for the UAV electric power supply. At the same time, solar energy employing for the UAV energy supplying is associated with a number of problems, which solution would help even more enhancement of their functioning effectiveness. One of these problems is the UAV supplying with extra solar batteries installed on the lower surface of the wings to utilize the diffusive solar energy. The purpose of the conducted studies consists in analysis of achieving higher efficiency of the extra solar batteries, installed on the lower surface of the wings. The article formulates and solves the problem of providing low altitude UAV with extra solar panels, realizing conversion of diffusive and reflected solar energy into electric energy. The author suggests enhancing the UAV components energy supplying by additional employing of dispersed reflected solar radiation. Theoretical basics of solar panels, installed on the lower surface of the wings, were analyzed. The issue on the most effective application of the extra solar panels installed on the lower surface of the wing was formulated. The article represents a variant of the problem solution of solar panels employing on the lower surface of the wings with maximum efficiency. According to the obtained results, the total extra radiation, which can be converted into electric energy, may be effectively utilized in case that the following condition would be met: with the Sun angle of altitude increase albedo should decrease and vice versa. This interrelation can be realized physically by special selection of space-time flight trajectory, meeting this requirement.

The development objective of the technique considered in this article is fidelity increasing of the aircraft optical-electronic systems functioning simulation in the modes of ground-based object searching, auto-capturing and tracking due to the correct regard of meteorological conditions in calculations of brightness fields of target environment optical radiation.

At present moment, the problem of optical radiation transfer in the atmosphere is solved successfully, though techniques for its solution are still rather complicated, so that engineers would be able to employ them in practice of optoelectronic systems simulation. The article offers engineering approach to accounting for the atmosphere «optical state», based, however, on the simulation results with application of the proven optical models.

The technique suggested in the article is based on the application of interpolation methods for determining transparency and brightness of inclined paths in the atmosphere between the objects of sighting and recording instruments. A method for the atmosphere brightness and transparency computing on random paths according to tabular data containing these characteristics on ray the paths is proposed.

Application of the developed methodological apparatus allow reproducing while simulation conditions of OESTG functioning such as objects sightings against horizon in conditions of high air humidity or low values of meteorological sighting distance.

The methodological apparatus of the inclined paths brightness and transparency computing, presented in article, may be applied in software complexes for synthesizing images of the 3D scene of the aircraft optical-electronic systems target environment at the polygonal representation of its objects in mathematical models.

The developed methodological apparatus may be applied as well to create hardware-in-the-loop simulation of the aircraft optoelectronic systems, in which synthesized images are reproduced by collimator projection devices in the aircraft flight dynamics.

It should be noted, that the meteorological conditions replication technique, suggested by the author of the article, combined with the developed by the author 3-D model of brightness fields of the ground-based target guidance and technique for digital images synthesis form the simulation method basis for aircraft optical-electronic systems operation. Accounting for meteorological conditions impact on the atmosphere optical characteristics herewith enhances significantly the synthesized images fidelity, and, consequently, the optoelectronic systems quality indicators, obtained while their simulation.

In so doing accounting of meteorological conditions influence on atmosphere optical capabilities greatly increases validity of synthesize images and hence optical-electronic systems indicators of quality obtained by modeling them.

The urgency of the issue under consideration is determined by the need to develop methods for cleaning the near-Earth space from space debris objects that pose a threat to the spacecraft functioning. The article considered the process of removing the CubSat3U format nanosatellite from the near-Earth orbit by a contactless method employing an active spacecraft equipped with ion and control engines. A nanosatellite can serve as a universal base for conducting orbital experiments to develop the technology for removal using ion beam. When analyzing the removal process, it was assumed that at the stage of towing the distance between the active spacecraft and nanosatellite remains constant. For the stages of approach and towing, it is necessary to know the maximum value of control engines thrust, and the time of movement stabilization at which the nanosatellite center of mass will be located on the longitudinal axis of the blowing engine of the active spacecraft. The presented work is devoted to the analysis of the proposed control laws for the active spacecraft. The author obtained differential equations of the motion of an active spacecraft relative to a nanosatellite in the orbital coordinate system for the stages of approach and towing. The article suggest control laws of an active spacecraft relative to nanosatellite for the stages of approach and towing. Aerodynamic coefficients of the object being removed were used for determining the force transmitted from the ion beam to nanosatellite. With the selected coefficients of the control laws, the time of motion stabilization was determined.

This article is a continuation of the previous work, where the issues of substantiation and elaboration of the design appearance of a promising spacecraft towing vehicle (STV) with two variants of the propulsion system (DU) using liquid rocket engines (LRE) and stationary plasma engines (SPD) were considered, as well as the calculation of the power supply system of STV.

This paper describes in detail the features of the implementation of schemes for the space debris object (SDO) disposal by the STV, with the SPD remote control. The control laws of thrust vector orientation at the stages of flight to the SDO orbit with its subsequent removal, ensuring the problem solution, are selected. Mathematical modeling and comparison on the reachability area for two variants of the orbit of burial being formed, coplanar to the SDO orbit and synchronously precessing with it, were performed. In the first case, determining the scheme of one mission to the SDO orbit and the coplanar descent are hampered by the required orbit mismatch along the longitude of the ascending node (LAN) for the flight start and ensuring the possibility of operations repeating. In the second scheme, this aspect is eliminated by creation of synchronous precession orbits (SPO) during the flight by the inclination correcting. The limits of these schemes efficiency depending on the inclination and altitude of the SDO orbit were determined. Recommendations on the possibility of these flight schemes application depending on the orbits parameters of the towed objects are formulated.

The existence of technologies for strong materials production allows create extended space tether systems, which can be employed to solve a wide range of practical issues. Some projects imply the space tether system stabilization in a certain position. Stabilization can be realized by of the conductive cable interaction with the Earth electromagnetic field. The goal of the work consists in searching for the tether current control law, ensuring of the space tether system stabilization in a certain stationary state in a circular orbit. In contrast to the majority of existing works, the article considers the simultaneous stabilization of the system center of mass in a circular orbit and tether deflection angle stabilization in a certain stationary position.

A mathematical model of the cable system is described, and equations of motion using the second-kind Lagrange equations are obtained. In the framework of the assumptions made, the tether is considered as inelastic massless rod, and the bodies connected by it are material points. The model accounts for the attraction of the Earth and the Ampere force. A current in the electro-dynamic cable is considered as a control element. Control is sought as the sum of the programmed and stabilizing current force. It is shown that a limited set of program motions in a circular orbit can be implemented in the system. Equations of these motions are obtained. The stabilizing control is sought in the form of a linear dependence on generalized coordinates and velocities. The law of stabilizing control is sought in the form of a linear dependence on generalized coordinates and velocities. Selection of the control law parameters was performed using the Lyapunov theorem on asymptotic stability in the first approximation. Numerical simulation was executed to demonstrate the effectiveness of using an electrodynamic tether for the system stabilization in a circular orbit.

The results of the work may be employed while preparation of space programs involving of electro-dynamic tether systems implementation in a circular orbit.

The article introduces a new approach to solving the problem of in-the-field operational determining of systematic error of drop-off a free-fall unguided container by prospective small-class strike unmanned aerial vehicles.

Analysis of the existing techniques of drop points’ coordinates determination of destruction weapons, employed for the manned aircraft, revealed their poor accuracy, which does not allow further performing the effectiveness evaluation of strike unmanned aerial vehicles application while ground targets striking.

Two ways of drop points coordinates determination of a free-fall unguided container were developed. They are based on modification of measuring and resection methods. The first technique realizes the direct measuring method, differing from the other by the sounding signal device application, particularly, a laser measuring device. The second technique is based on the indirect measurement method. Its difference from the resection method consists in the simplified order of measurements realization, and the application of one laser measuring device, instead of three.

The presented work reveals the content and the order of realization of each technique, which allows apply them not only for tests performing, but also while planned flights execution of unmanned aerial vehicles to maintain a high-level proficiency of operators at the ground control stations.

A scientific-methods apparatus for accuracy evaluation, based on comparing a polygon area as well as error theory methods, was developed for determining measuring error of the drop points coordinates of ammunition dummies performed by suggested and well-known methods.

Thus, two new operational techniques for drop points determining of ammunition dummies, being dropped from strike unmanned aerial vehicles, were developed. These techniques ensure two times and more increasing in performed measures accuracy. It will allow increase the efficiency of the systematic error determining for the batch small-class strike unmanned aerial vehicles in the field (combat) conditions.

A spacecraft creation in modern conditions makes the developer both conduct a profound engineering analysis in various fields and a large volume of tests in conditions close to the flight with the simulation of various impacting factors.

With the advent of advanced software for simulation modelling a concept of system-oriented design, based on application of the system of object-oriented models for developing basic simulation model of a space product, came to the forefront.

The described approaches allow performing tests, including model ones, with the help of which it is possible to determine with sufficient probability the spacecraft operational parameters and the reserve resource for each of them to make a decision on the readiness of the device for further application without flight design tests or with a significant cost reduction on them. Naturally, modelling, and simulation modelling in particular, herewith starts playing the main role, and its results evaluation with modern means of information processing. Already today, the modern means of modeling, engineering analysis and virtual design allow eliminate materiel application from mock-design, or at least significantly reduce the number of full-scale tests, substituting them by a greater amount of virtual tests.

At present, a technique for mock-tests executing by the spacecraft electron layout, employing virtual medium, is developed and conciliated at JSC “NPO Lavochkina”.

Virtual models application for tests preparation not only reduces the costs and risks associated with them, but also reduces the time required for the testing process itself.

It is obvious that the problem of experimental testing of the device can be fully solved only when it is completed by device tests, least of all differing from the standard sample, under the full-scale conditions, i.e. flight tests.

The presented article describes successively the goals and objectives imposed during the prototype tests in accordance with State Standards, as well as software and technical means to transfer the tests into the virtual space.

Design calculations based on one-dimensional models of rods with variable cross-section can be effectively applied in the design of structures with large elongation. Similar one-dimensional models are employed, for example, for the design of columns, supports, rocket systems, etc. Such models allow, as a first approximation, evaluate the strength of a structure and determine loading conditions of its elements (compartments, sections) for further refined numerical calculations.

The article presents an option of the strength analysis performing method for a thick-walled axisymmetric structure consisting of a metal core (reinforcing component) and an external thick-walled shell of composite material. The structure is loaded with a linear load distributed along a part of its length associated with the acting external pressure and inertial forces associated with the resulting acceleration. The technique is based on a one-dimensional model of a composite rod with variable cross-section, approximately accounting for transverse deformations, which is necessary when analyzing a thick-walled structure operating under pressure. In the proposed approach, the geometry of the product is splitted into sections and approximated by fragments in the form of truncated cones and, in particular case, cylinders. As the result of the calculations, the distribution of the normal longitudinal tensile / compression stresses in the outer shell and in the reinforcing rod is being determined, and the tangential stresses at the boundary of their contact are being estimated. As the result of the test calculations, a reasonably good consistency of the proposed one-dimensional analytical calculation method with the numerical result obtained by refined finite element modeling for normal stresses acting in the rod and in the shell in the direction of the symmetry axis of the structure is shown. Numerical calculations were performed in the Comsol Multiphisics system using in a axisymmetric formulation. For tangential stresses at the contact boundary between the rod and the shell, approximate estimates, which quantitatively differ rather strongly from the numerical modeling, are obtained, and, therefore, require developing a refined technique accounting for the uneven normal and tangential stresses distribution in the radial direction.

The article studies a strain-stress state of a circular cylindrical shell of the Tymoshenko type and perfectly rigid cylindrical paraboloid in the process of their collision at the supersonic stage of interaction. The process of vertical impact is being considered, where the shell movement is regarded in Cartesian coordinate system. The contact occurs in free sliding conditions.

The problem setting includes equations of the shell motion, and equations of the elliptic paraboloid as a perfectly rigid body, boundary and initial conditions. To solve the problem, influence functions are used for a circular cylindrical shell, which represents normal displacement and is a solution to the initial-boundary problem of the impact on the surface of an elastic shell of normal pressure, given as a product of Dirac delta functions.

A numerical-analytical algorithm for solving the system associated with the inversion of Fourier-Laplace integral transformations, which is based on the bond of Fourier integral with decomposition into a Fourier series on a variable interval, was developed and implemented. Examples of computations are presented.

The goal of the work consists in formulating a spatial non-stationary contact problem for perfectly rigid impactors and a circular cylindrical shell of the Tymoshenko type.

The relevance of the research topic is stipulated in theoretical terms by the small number of studies of spatial non-stationary contact problems. From a practical viewpoint, it is associated with the need to determine the stress-strain state in the process of collision of an perfectly rigid body with a shell structure.

The article presents the results of experimental study of wingtip vortices behind a rectangular wing of a finite-span in the near field (at a distance of 0.5 to 4.2 wing chords length from the trailing edge). A rectangular wing with a modified Göttingen 387 airfoil and aspect ratio of 7.8 was used in the experiments.

During the experiments, the Reynolds number corresponded to Re = 350000, and an incoming flow velocity was set to 28 m/s. Wing tip vortices were studied at various angles of attack in the range from —6° to +18°. Experiments were performed in T-1K wind tunnel of Kazan National Research Technical University named after A.N. Tupolev. The wingtip vortices study was performed by the velocity fields, obtained with PIV-system. Parameters identification of the vortex core was performed employing Cross-Sectional Lines method and Q-criterion, and demonstrated good agreement. The article presents dependencies of the core size changing on the angle of attack and a distance to the core section. It is shown that the vortex core size increases away from the wing the wing and the angle of attack increasing. The dependencies of the vortex core square on the Q value were plotted. It was established that the wingtip vortex bunch stranding at large angles of attack occurs at the shorter distances, than at the smaller angles of attack. The article demonstrates that maximum value of relative circulation is almost constant and independent from the angle of attack value.

Methods for parameters determining of various objects based on the judgment on the measuring object according to its mathematical model and associated with analysis of alternating current passage through these objects gain more and more proliferation [1].

These methods found widespread occurrence in space rocket industry in particular. Abandonment of the CE5002 AC bridge, which was widely employed on technical complexes of space-rocket products, was the reason for new measuring techniques developing.

Dielectric liquids and cryogenic liquefied gases, reaching the temperatures about −253°C, are rocket fuel componentThe fueling level sensor represents a cylindrical air capacitor in double version in accordance with Fig. 1. Thus, the capacitive measuring method became widely spread in space-rocket products due to the possibility of operation in a boiling component, linearity of characteristic, movable parts absence etc. The fueling level sensor represents a cylindrical air capacitor in double version in accordance with Fig. 1.

A universal meter for impedance parameters' analyzer for performing studies in the field of materials analysis of ferroelectromagnetic phenomena, ion and superionic conductivity etc. [8] was developed at V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences.

The measuring devices for impedance measurements such as materials analysis, ferroelectricity, ionic and superionic conductivity etc. was developed in V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences.

In this transducer, computer controls measuring sequence and connects phase frequency detector (PFD) and analog to digital converter (ADC) firstly to the measuring object, and then to the reference with excitation voltage phase step of 

, where n is integer. As a result, after each measuring cycle the value U_ij (i = 1, 2; j = 1 … n), representing projection of measured voltage vector on the reference voltage, is formed at the ADC output:

Where T is integration interval; U_ij(t) is PFD input signal; G_j(t) reference signal.

Computer receives the codes carrying information on U_ij(t), and computes real and imaginary part of the voltage at the tested object and measure.

The developed device allows measuring fueling level sensor parameters with high accuracy, but the main restriction while its application is the presence of a long double-wire cable communication link, reaching the length of 500 m. With such a cable link length, the phase measurements are extremely difficult to be realized due to the parasitic components of the communication line.

That is why the authors took another path aimed at developing a new technique for fueling level sensor parameters determining.

As long as the fueling level sensor (FLS) is a two elements two-pole, its parameters determining consists in alternating current impact at the two specified frequencies firstly on fueling level sensor, and then of the reference.

According to the given FLS equivalent circuit we have the following equations to determine its parameters:

where C_W is working capacity of the sensor;

R_L is leakage resistance of sensor;

R_R is reference resistance;

ω₁, ω₂ is excitation frequencies;

  are measured currents via capacity sensor and reference at two frequencies.

However, operation results revealed that currents induced by the communication line length fr om the external sources, as well as AC frequencies difference value affect measuring results, namely, the more the AC frequencies separated, the higher the measuring accuracy.

Thus, the goal of the new measuring approach is increasing measuring accuracy due to bias currents compensation and providing one measurement at the direct current excitation using the following equations:

wh ere sign of Δ denotes bias currents compensation, which were measured at turned-off AC and DC current sources.

The Xilinx FPGAs were employed for the newly developed technique realization, on which base measuring data processing and computation blocks, and functional blocks of analog measuring channel, including analog-to-digital converter of integrating type, sine voltage generator, frequency and scale of amplification control circuit.

The developed measuring technique allowed create a unit for ensuring FLS parameters measuring on the technical complex instead of out of production CE5002 AC bridge.

The technique described in the article may be applied for parameters measuring of two-poles, employed as physical processes sensors (temperature, pressure, level of liquid and granular media, etc.) at the industrial objects, transportation means and, above all, in the systems for measuring fueling level of liquid fuelled rocket carriers in the space-rocketry.

At present, studies on the information support formation for decision-making in the environment of multi-agent systems can be referred to as particularly relevant, since a multitude of problems to be solved can be represented as functional agents of multi-agent systems. Such studies integrate both the results of solving deterministic problems and the problems solved based of the theory of fuzzy sets.

This scientific article reflects theoretical aspects of the interaction between the Cargo Owners and Carriers, and information support formation for decision-making in the multi-agent platform environment. At the same time, methods for solving the tasks based on a deterministic and fuzzy approach are proposed at reaching a consensus of interacting subjects. The article explores the possibility of applying the dialogue interaction principles of interacting subjects based on the multi-agent system (MAS) software in conditions of uncertainty, risk and conflict.

The considered approach of interaction between the Cargo Owners and Carriers is based on the following main provisions that ensure [6]:

­

• realization of one of the principles of the consciousness functioning, i.e. providing the decision-making processes participants with a common interpreter of information on the processes monitored and the state of implementation of transport and logistics process (TLP);

• ­ mutually beneficial combination of human capabilities and means of MAS in information processing;

• ­ joint implementation of the functions of information services, regulated interaction of all participants in the processes of the formation of decision support system (DSS).

Personnel is presented with the opportunity to form requests for the selection and extraction of information available in the system. These queries describe combinations of features using the functions “equal”, “not equal”, “greater”, “less”, “greater and equal”, “less and equal”, “nesting” or special functions for which information will be selected, and those information components are determined that should be extracted from the selected array and provided to the specified persons. Requests can be formed for both interconnected and unrelated fuzzy information.

In this mode, on the request of personnel from among the subjects, the generated request can be cataloged in the MAC environment and used multiple times with the possibility of correction before the next execution.

The set of forms for displaying the information received as the result of a request processing can be diverse enough (text, statistical data, graphs, charts, etc.), and it depends on the specific ways of using information on the activity being monitored, allowing the interacting swarm subjects of Cargo Owners and Carriers advance to a consensus more intensively and expeditiously.

The article is devoted to the dynamics study of the two-link mechanism of the landing platform of the landing module. Federal space program includes the planet rover delivery on the planets under exploration by landing modules. An important scientific problem on rational selection of design solution for studying the deployment dynamics of the multilink mechanism of the landing platform gangway is formulated.

The author analyzes the existing methods of compiling the multi-link mechanisms motion dynamic equations, and chooses the of Denavit-Hartenberg matrix representation together with the Lagrange-Euler method for complete description of the mechanism motion. The movement dynamics is represented as a two-link mechanism with rotational joints. Further, we formulate a direct problem of kinematics to determine the vector of generalized accelerations for a given force and moments. A system of nonlinear differential equations of motion is being derived, which is numerically integrated, and modeled in the EULER software complex. The EULER software package was developed by NPO Avtomatika and meant for mathematical modeling of multi-component mechanical systems dynamics. The results are compared, and conclusion is made on the sufficient convergence of the results (the discrepancy does not exceed 15%).

The author draws attention to the fact that nonlinearity generates heterogeneity of dynamic, elastic and velocity properties of the mechanism and the variability of parameters in nonlinear equations. This feature is clearly manifested in the positions of the multiplicity π of the generalized coordinates and at their zero values. When φ₁ = φ₂ = 0, the mechanism is pulled into a line, or if φ multiples of π and the links are folded, a loss of controllability may occur. The author explains this by the fact that the choice of the conceptual model of the mechanism and the formation of its kinematic design model is an independent task.

Approbation of the developed system of non-linear equations with the results of the work on the transformable structures of the EXOMARS SPACECRAFT landing platform was performed additionally. A conclusion was made on the model suitability at the outline design and determining the layout and main kinematic characteristics of the mechanism of the landing platform gangway of the landing module of the interplanetary space station.

The article presents an adaptive theory and the results of mathematical modeling of structural elements of products while encountering with various types of obstacles. The problem of developing an effective method for the numerical simulation of three-dimensional dynamic problems of hydroelasticity and structural dynamics is being solved. Finite element method is used to solve these coupled problems.

The results of the stress-strain state calculations using numerical simulation, as well as some highlights of the process of impact interaction of the product and obstacles are obtained.

In recent years, a large number of analytical and semi-empirical methods have been developed to study the stress-strain state of structures under impact. However, these methods were used mainly for a limited type of structures, as a rule, of simple geometry and in the presence of a number of restrictions in the problems formulation and boundary conditions formation. At the same time, it is obvious that in order to solve practical problems along with those of the objects of the rocket and space industry, it is necessary to account for rather complex geometry of structural elements and the corresponding boundary conditions. The main modeling problem in this case is the need to obtain a joint coordinated solution of the equations of structural dynamics and the equations of flow of liquid or solid barrier. In this regard, numerical modeling is considered to be one of the main and non-alternative approaches these days for solving these complex problems.

The advantages of the FEM are as follows: relatively simple setting of boundary conditions, sufficiently high accuracy, and the capability of tracing the entire evolution of the free boundary as well as a high degree of universality. It is worth noting that this method application while performing calculations in the areas with complex free surface behavior can lead to the cell grid boundaries overlapping due to large deformations of the simulated structure.

The goal of the work consists in developing an effective methodology for numerical modeling of three-dimensional dynamic problems of hydroelasticity for specifying the stress-strain state of elements of metal structures impact upon water and a solid impediment impact.

This presented article is devoted to the study of issue on the possibility of predicting and determining the contact zones of the colliding elements according to the result of their impact interaction. Developing methods for predicting contact zones is an urgent task in the case of any objective data absence on real cause-and-effect relationship, led to the impact interaction, and subsequently to some abnormal situation (emergency). Frequently, the study of an emergency often comes down to many experimental works, in which the opportunity of repeating all the conditions of an abnormal situation (emergency) that has already happened is not always possible. The presented article suggests a method, which may significantly reduce the number of experimental studies of abnormal situations (emergencies) in combination with the numerical simulation. The general application area of the developed models is aerospace industry and mechanical engineering.

The subject of the study is the impact interaction of two elastoplastic bodies. Due to the shock interaction, the stress-strain state of an elastoplastic barrier is considered to obtain a qualitative assessment of the force factors acting on the colliding elements. The article presents the main methods for studying impact interaction, as well as numerical simulation of the impact of two elastoplastic bodies.

Based on the conducted numerical simulation, methods for determining contact zones of impact interaction are presented; an algorithm for recovering the picture of impact interaction is developed; the main drawbacks of the method are considered; ways of development in terms of describing more complex geometric bodies and sequential-circular motion are proposed.

Problems of the theory of mechanical systems with dry friction are popular at present among researches and find many applications while studying, for example, motion of mechanisms consisting of a solid body and moving masses in it. Discontinuity of the right hand sides of the equations of motion creates many problems while studying, and classical theory of differential equations does not work for the equations of movement with dry friction.

The first paragraph of the article considers very simple and popular model of the system with dry friction, i.e. a box clenched by springs on the conveyor belt. A dry friction force, subordinate to the Amonton’s-Coulomb law, acted between the box and the belt. A sticking zone was plotted, and periodic movements and limit cycle of the box on the conveyor belt were obtained.

The article regards translational movement of a box with internal oscillator along the horizontal plane. An Amonton’s-Coulomb dry force acted between the box and the plane. Equations of movement of the box with internal oscillator were obtained it the second paragraph of the article. These equations concede general solution in every domain of continuity. The slipping zone conditions when the static friction forces act on the box were obtained.

The third paragraph of the article validates mathematical correctness of the model under consideration. This correctness is based on the concept of Philipov’s solution of the ODE system with discontinuity of the right hand sides. The model determinateness follows out from Filipov’s theorem on existence and uniqueness-in-the-future solution of Cauchy problem.

The final motions of the system are studied in the last paragraph. The box always falls into the sticking zone after several iterations.

The article considers the issues of modeling and automation of processes and tools for assessing vendors’ maturity based on the best international practices, contributing to possible risks identification at the early stages of contractual relations, their prevention and elimination.

The data on existing both domestic and foreign techniques for vendors’ assessment was systematized. Analysis of the main causes of default on contract commitments by the nuclear industry vendors was performed. Exigencies and expectations of the sectorial quality services, as well as external customers’ requirements were formalized. The article analyses the results of the discrepancies, revealed by the customers while pre-contract and inspection audits, as well as corresponding sectorial legislative, regulatory and other requirements and recommendations. The most important trends for the vendors’ maturity assessment. Based on studying and analysis of the best world practices, a technique for works applicability signs assignment, necessary for meeting the customer’s requirements. As the result, a customer acquired the possibility to draw up a checklist for its specific requirements.

To unify the checklists configuration variants, work types classifier was introduced for manufacturers and contractor/servicing enterprises.

Data analysis results on the existing object revealed that the presence of explanations, describing the mechanism for compliance with the requirements assessment eliminates a possible judgment subjectivity and a risk of cassation from the side of the enterprises under the audit.

The authors developed a checklist form, which should contain a set of the following signs, ensuring the possibilities of its configuring according to the customer’s requirements, introducing the audit evidence and objective calculation of the vendor maturity level (the total score). It should contain also the requirement description, its clarification, systemness, and applicability for the type of work; assessment of the compliance with the requirement; assessment substantiation (records of the audit evidence); the auditee surname, name and patronymic, the date of the assessment performing.

The developed vendors’ maturity model accounts for the difference of the errors elimination costs, occurred at various stages of product manufacturing life cycle.

The study of a three-layered plate interaction with a layer of pulsating viscous incompressible liquid was performed. The liquid layer motion was regarded as a laminar one occurring in a narrow channel with parallel walls. Sticking conditions at the boundaries of liquid contact with the channel walls were assumed. The upper wall of the channel is being regarded absolutely rigid. The lower wall of the channel represents three-layered plate, and its bearing layers satisfy Kirchhoff's hypotheses. The plate filler is being regarded compressible in the transverse direction. The free support conditions are accepted at the plate end-faces. Oscillations of the three-layered plate are caused by the pressure pulsations at the channel end-faces. Pressure in the liquid layer changes herewith according to harmonic law.

The plane problem of longitudinal and bending hydroelastic oscillations of the three-layered plate was studied. The elastic displacements amplitudes of the three-layer plate were supposed to be much smaller than the thickness of the liquid layer in the channel. On the other hand, the longitudinal size of the channel was supposed to be much bigger compared to its transverse size. The hydroelastic problem consists of dynamics equations of the three-layered plate with compressible filler and liquid dynamics ones. The hydroelasticity problem was formulated. It consists of dynamic equations of the three-layered plate with compressible filler, as well as viscous liquid layer dynamic equations, namely Navier-Stokes and continuity equations. Accounting of normal and shear stresses, acting from the liquid side on the plate bearing layer contacting with it, is being performed while the experiment. Linearization of hydrodynamic equations was performed by the perturbation technique, and solution of the above said problem was obtained for the case of steady-state harmonic oscillations. Hydrodynamic parameters of the liquid layer were determined. Frequency dependent distribution functions of elastic displacements of the plate's layers and pressure of the viscous liquid layer were plotted.

At present, one of the main tendencies while aircraft design is carbon fiber reinforced plastics implementation in the load carrying structure of the airframe. Composites allow the structure weight reduction and the aircraft performance improvement. There are examples of composite materials successful implementation in the wing structure, stabilizer, fuselage and other aircraft structural elements in civil aviation.

A serious problem on the way of effective implementation of modern polymer composite materials in the aircraft airframe load-bearing structures is their high sensitivity to in-service damages and technological defects. The issues of strength characteristics degrading in the presence of damages and defects are generally being solved on the experimental basis. Nevertheless, computational methods allow performing similar estimations.

The article presents the results of numerical studies on operational and technological damages effect on strength and stability characteristics of a stringer panel. Impact damages of skin, stringer delamination, and the stringer peeling fr om the skin were regarded as damages. The effect of the above said damages' sizes on the strength and stability characteristics of the panel was being studied. The studies were performed by the finite elements method, including its nonlinear version.

The article demonstrates the presence of the critical damage size of the skin. Prior this size the requirements to residual strength can be met. This lim it exceeding leads to irreversible process of composite destruction and exhaustion of the panel bearing capacity. Numerical studies of the panel bearing capacity with damage in the stringer allowed determining the minimum value of the panel residual strength at the damage zone size increasing. The obtained results may be handy for the composite structure residual strength estimating and forming damage criteria with regard for possible in-service and technological damages.

The goal of the work consists in determining the stress-strain state of anisotropic bodies of revolution in conditions of temperature exposure with no internal heat sources. The body boundary is free fr om external forces and kinematic dependencies.

The task setting is ensured by the inverse method development for the class of stationary axisymmetric thermoelasticity problems for transversely isotropic bodies. The author proposes the theory of the internal states’ spaces basis forming, including displacements, deformations, stresses and temperature. First, a basis of plane auxiliary states is formed for the case of plane deformation, based on the general solution of the plane thermoelasticity problem for a transversely isotropic body. Further, on its ground, a basis of internal spatial states is being induced by integral overlays method. This basis is being orthonormalized based on the Gram-Schmidt recursive-matrix orthogonalization algorithm, where integrals of the product of temperatures act as cross scalar products. After the basis orthogonalization the target state is being determined by the Fourier series, wh ere the coefficients represent definite integrals which kernels compose the functions of the temperatures in the basic elements multiplication by the specified temperature.

Verification of the solution is performed by comparing the specified temperature field with that obtained while the solving.

A strict solution of the test problem for a circular cylinder, and an approximate solution for a body in the form of a stepped cylinder, made of rock, with the corresponding conclusions on the series convergence are presented. A graphical visualization of the results is presented as well. The advantage of the presented approach consists in the fact that the most time-consuming calculations, namely an orthonormal basis construction, are performed once for a body of a certain configuration. Subsequently, this basis can be used for solving various thermoelastic problems for this body.

The present paper continues the circle of publications devoted to solving the hydrodynamic problems allowing an analytical approach to their consideration. Searching for analytical solutions in rather simple «model» problems is not an end in itself. Developing an approach, enabling accounting for the laminar and turbulent flow modes specifics in Navier-Stokes equations (NSE), for further correct NSE integrating by both analytical and numerical methods is the main motivation of this work. However, studying specifics of various flow modes is possible namely while solving the problems allowing exact (analytical) solutions. Unfortunately, due to their complexity the Navier-Stokes equation have such solutions for a very restricted set of problems, namely for very simple geometries. The most well-known of them all are:

– The Hagen-Poiseuille problem, describing the flow of the incompressible thermally non-conductive liquid in a tube of a circular cross-section;

– The flat Couette problem describing the flow of incompressible thermally non-conductive fluid between two infinite parallel plates, moving under a constant velocities in opposite to each other directions in their own planes;

– The flat Poiseuille problem describing the flow of incompressible thermally non-conductive fluid under the pressure drop between two infinite parallel plates.

There is unique analytic solution describing the laminar profile of velocity for any Reynolds numbers in all these problems while Navier-Stokes equations integration under the absence of entropy production caused by excitation of velocity stochastic pulsations.

Two solutions were determined analytically due to the account of the entropy production in NSE for both the flat Poiseuille problem and other above-listed problems (considered in the previous articles). One solution corresponds to the laminar flow mode, and the second to the turbulent one. The first one is realized for any Reynolds numbers and is specified by the parabolic velocity profile in the total fluid flow domain, and the second one is realized for relatively high Reynolds numbers and is specified by the logarithmic velocity profile in the center of the flat channel. The multiplier prior to the logarithm function is the von Karman constant. The article presents comparison of the results with the available experimental data.

While mechanical systems with rotating or moving masses operation, small amplitude vibrations, which cause negative effect on both control system (CS) operation and sensing elements, are being transferred to the spacecraft structure, which may lead to the CS orientation accuracy degradation. This problem can be solved provided that mounting locations of both precision instruments (PI) and moving masses are known. It is required to determine the moments of inertia of the spacecraft elastic structures provided that dynamic requirements depending on the spacecraft angular velocity are fulfilled, and minimize:

- micro vibrations while special spacecraft precision instruments operation;

- functions of static and dynamic imbalance.

A five-degree-of-freedom vibration isolator employing magneto-liquid effect was developed to reduce the effect of the above said factor on the relative movement of the optical path. The experimental results of its mathematical modelling are presented as well. The tests on studying the effect of the cavity height between the permanent magnet enveloped by the magnet liquid and the unit case, as well as the permanent magnet and case materials on the system characteristics; the permanent magnet base area on the system operation effectiveness were conducted. The results of experimental studies of the vibration system with vibration isolator employing magnet liquid effect revealed 5–10 times reduction of absolute linear traversing. The suggested system herewith was recommended for “Spectrum-UV” spacecraft adaptation as a tool for eliminating undesirable micro disturbances created by flywheel-motors.

The purpose of the article consists in direction pattern characteristics verification of ultrasonic radar in the antenna aperture synthesizing mode, which were obtained both by experiments and calculations.

The object of this article is ultrasonic radar in the antenna aperture synthesizing mode.

The subject of the article is the transmitting ultrasonic sensor functioning.

The methodology of writing the article is comparing the results obtained employing a mathematic model of the radar system in ultrasonic wavelength range and by experiments with its real prototype.

Developing the radar with synthesized antenna aperture assumes:

–  functioning processes modeling of elements of the pattern under development to obtain the direction pattern characteristics;

–  designing and developing the prototypes realizing the main operation modes of the pattern or its constituent parts.

The authors proposed to develop a prototype in ultrasonic range rather than in radio range, which allowed modelling the main processes with real equipment employing high accuracy and reliability. Modelling of the unit’s elements functioning processes is being performed to obtain the values of direction pattern characteristics. The obtained values evaluation is being performed with the technique for evaluating the direction pattern of the ultrasonic radar in the antenna aperture synthesizing mode.

The article regards the issues of direction pattern parameters modelling, as well as presents the evaluation results of characteristics of the direction pattern of the ultrasonic transmitting device, obtained applying the suggested methodological approach. Experimental validation of the results applying ultrasonic test site was performed.

Application of the presented technique allows refine errors evaluation model of a radar-location channel of the radar prototype with the synthesized antenna aperture, and solve problems of radiometric calibration of the system through path prior to its manufacturing.

The developed technique is practical to employ while developing algorithms for controlling direction pattern of prospective radars with synthesized aperture already at the stage of laboratory workout.

The onboard antenna-feeder devices constitute an integral part of space vehicles according to both the type used (small or large) and the target-oriented task: Earth remote sensing; weather observation; emergencies monitoring; communications; scientific research; applied research and etc.

Each of the above said tasks solving is accompanied by a certain set of onboard equipment application.

However, there are onboard radio links, such as inter-satellite communication, navigation system, telemetry etc.), which include receiving and transmitting antennas.

The article presents the spiral antennas application for prospective onboard systems and complexes of transportation vehicles.

For example, application of a quadruple single-turn antenna (with operating frequency of 406 MHz) with circular polarization of the clockwise rotation was proposed as a receiving antennae, while a quadruple spiral antennae (with operating frequency of 1544 MHz) with circular polarization of the counterclockwise rotation was proposed as a transmitting one. The emitter and recording device of the transmitting antenna are fabricated by printing technology. Both spiral antennas are employed as a part of the antenna system of the COSPAS–SARSAT onboard equipment.

The COSPAS-SARSAT system includes two types of space vehicles:

- of a low Earth orbit;

- of a geostationary orbit.

The article presents also the spiral antennas developed for various onboard systems and complexes such as telecommand system, satellite navigation, inter-satellite communication, scientific system, etc., for the spacecraft such as “Meteor”, “Ionosphere”, etc.

The object of the study is a reusable aerospace transportation system based on a twin-fuselage subsonic carrier aircraft for launching various payloads into near-Earth orbit.

The purpose of the work consists in determining the applicability of reusable aerospace systems for injecting payloads into high-energy orbits including interests GLONASS.

The method and methodology of the works handling are based on theoretical and computational works, including application of Computer-Aided Design and Computational Fluid Dynamics.

The work presents the follwing:

– analysis of the main GLONASS parameters as the initial data for the aerospace system configuration design;

– trajectory formation of the reusable aerospace system with its return to the launch point of its first stages;

– comparative analysis of various types of the space-rocket system fuel;

– aerospace system basic parameters optimization for GLONASS satellites delivery into orbit.

The article analyses application of partially reusable aerospace system, i.e. maximally unified modification of the fully reusable aerospace system, for satellites injection into high-energy orbits.

To increase the rocket system energy performance required for delivering GLONASS satellites to the high-energy orbits, the authors proposed an aerospace option with the non-recoverable second rocket stage and a space accelerating block on oxygen-hydrogen fuel (like the two first stages of the aerospace system). The performed analysis of appearance formation allowed determining optimal trajectories and thrust-to-weight ratio of the aerospace system and the space acceleration block.

It is utterly important to ensure the intentional radio jamming resistance for information and communication systems of special and military purpose. Attacks on such kind of networks may inflict vast damage, including a State level. Simulated jamming exercises the most dangerous impact among the existing intentional interferences, since they repeat the signal structure while its transmission. The impact of such kind of interferences may also disrupt the information availability while attempting to get access to it through a radio channel.

The presented work proposes application of frequency-hopping OCDM-OFDM signals to counteract the physical level attacks of OSI model and enhancing the signal structural stealth. Jamming immunity from the relay interference, indicators of structural stealth, and the impact from Doppler effect were considered. Simulation revealed the energy gain of 1 dB while employing the suggested signal-code structure prior to frequency hopping OFDM signals in conditions of relay interference. It demonstrated also that the signals of this type possess higher structural stealth figures, as well as more stable to Doppler effect compared to OFDM-frequency hopping signals.

The disadvantages of the proposed approach include the complexity increase of the signal-conditioning and synchronization systems on both the receiver and transmitter. It is necessary to ensure assignment of code signature from the earlier generated OCDM to each each subcarrier of the OFDM signal while the signal forming process. Besides, the frequency-hopping spread spectrum process is rather complicated itself. It requires fine synchronization between the receiver and transmitter, as well as knowing the pseudo-random sequence. The suggested signals will be less effective while data transmission in the channel without attacker, than the structure with FH-OFDM application.

The presented work puts forward an approach to raise the effectiveness of the satellite radio monitoring system means application. The subject for studies is methods for the said system planning.

The existing methods of solving the problem of planning the satellite radio monitoring system means involvement are based on employing a flexible approach, foreseeing larger encompassing of the territories with high population density, and a smaller one for the territories with small population density. This approach has a number of disadvantages including inability for regarding the density of space vehicles location on a geostationary orbit, and impossibility of simultaneous transponders radio monitoring of one spacecraft accounting by several radio monitoring means.

To eliminate the above said disadvantages the authors suggest a technique for application planning of the satellite radio monitoring system means regarded in this article, and based on solving the problem of discrete programming. The quality indicator is effectiveness, i.e. the number of serviced channels. The problem is aggravated by the fact that the objective function is non-linear, which makes impossible application of mathematical programming methods. For this complexity resolve, a linearization technique for the function with Boolean parameters based on additional variables introduction is put forward.

This technique essence consists in performing an iteration procedure for solving the problem of discrete programming with subsequent refinement of the objective function value.

Computational experiments were conducted employing suggested technique for radio monitoring means planning. The obtained results prove the principal possibility of increasing the satellite radio monitoring system effectiveness by 15-30% due to channels duplication elimination.

The presented work puts forward a technique for qualitative comparison of technical means for counteracting the growing unlawful application of unmanned flying vehicles (UAV). This technique is based on a set of criteria for the effectiveness evaluation of UAVs counteraction techniques developed by the authors.

The article itemizes the most widespread technical methods for the UAV counteraction. It states the main disadvantages of the conventional approaches to these methods evaluation, such as evaluation incompleteness, poor analysis of application conditions, and in many cases the lack of quantitative indicators.

reveals the most commonly used techniques of counteraction methods and the basic disadvantages of approaches to efficiency evaluation of these counteraction methods. They are an incomplete evaluation, weak analysis of practical implementation conditions and, in most cases, quantification deficiency. It is demonstrated, that physical principles difference of counteraction methods realization causes a problem of their direct comparison. Thus, the goal of the presented work consists in developing the system of criteria for qualitative evaluation of the UAV counteraction methods devoid of the said disadvantages.

The presented set of criteria allows performing a comparative evaluation of various UAV counteraction methods with regard for their characteristics of detection and counteraction, the UAV recognition quality, hardware volume, versatility and consequences of its implementation, electromagnetic compatibility, economic indicators etc. The proposed system envisages criteria splitting into sub-criteria, as well as partitioning the latter into their own sub-criteria and further by analogy if necessary. The final quantitative evaluation is computed by the special equation employing the obtained evaluating coefficients depending on the introduced weight coefficients of each criterion and sub-criterion.

The developed set of criteria allows quantifying various implementations of the existing UAVs counteraction methods; compare various implementations of one or several methods of UAVs counteraction; educe more effective counteraction methods for specific application conditions; forecast the efficiency of prospective counteraction methods.

The article presents a methodical approach to high-precision nonlinear filtering of multidimensional non-Gaussian random processes in continuous-time stochastic dynamical systems with a fixed structure. The high accuracy of the developed algorithms for the optimal nonlinear filtering problem is stipulated by application of a posteriori higher order central moments of the filtered process. Adaptability of the developed high-precision nonlinear filtering algorithms is ensured by real time computing of a posteriori skewness and excess kurtosis for all phase coordinates of the filtered process, their subsequent comparison with the threshold values corresponding to Gaussian random process. If necessary, a posteriori higher central moments of the process being filtered are used in filtering algorithms.

The methodical approach under consideration to high-precision nonlinear filtering of multidimensional non-Gaussian random processes can be applied for eight basic variants of filtering problems, but engineering algorithms are presented only for the filtering problem with additive noises in mathematical model of the stochastic dynamical system.

The second part of the article describes five stages of the proposed methodical approach (the first three stages were described in the first part of the article):

4. Obtaining formulas linking a posteriori arbitrary order central moments with a posteriori cumulants for the filtered process.

5. Truncation and closure of a system of stochastic differential equations for a posteriori central moments of the filtered process.

6. Synthesis of high-precision optimal non-linear filters.

7. Setting known and computing missing initial conditions for a posteriori central moments of the filtered process.

8. Solving the optimal filtering problem (obtaining optimal estimate of the filtered process).

One of the main tasks facing a fighter aircraft consists in gaining the dominance in the air and holding it up, which is considered as the irremissible condition of successful of a warfare conduct for all kinds of armed forces. This task can be solved by destroying the enemy aircraft in the air. Besides, the air operations effectiveness while performing other missions also depends to a great extent on the crew ability to wage the air combat. Thus, the experience of aviation utilization in war conflicts is being carefully studied all over the world to search for tactical techniques, ensuring advantage in air combat.

The article presents the situation, when the attacking fighter aircraft tends to move through the active offensive maneuvering to the area of possible attacks, which configuration depends on characteristics of TSAs located on it. With this, the actions of an enemy aircraft performing passive defensive maneuver are aimed at evading the attack of the aircraft-fighter to prevent its entering the area of possible attacks of his aircraft.

All this is indicative of the need of employing the game approach to study offensive maneuvers of the aircraft-fighter.

The article presents an algorithm for the guaranteeing trajectory control of an aircraft-fighter for the pursuit-and-evasion task in conditions of a close air combat. It also presents modelling results, reflecting the effect of the attacking aircraft-fighter maneuvering capabilities on achieving positional superiority in an air combat.

The need to improve the quality and efficiency of transportation and logistics management systems requires application of mathematical methods and models contributing to that increasing the level of intellectualization of decisions being made.

For this purpose, the proposed method employs a structure including the interacting subjects monitoring of transportation and logistics process (TLP), and selecting on its basis the significant content of factors of variables and characteristics, representing the basis of their decisions selecting. The article proposes to improve this quality by models and algorithms application, based on deterministic approach and fuzzy logic principles. Structurally, this method was regarded in the form of functional agents complexes developed based on the theory of multi-criteria selection in uncertainty conditions, game theory and principles of potential risks size and direction reduction evaluation of the interacting TLP subjects.

A possibility of periodical or continuous correction of the said content of significant variables appears herewith. This, in its turn, contributes to the decisions being taken adequacy level improvement. The intellectualization level increasing of the decisions being taken is achieved by developing complexes of functional agents being formed for the interacting TLP agents. These agents forming is performed in the method based on both deterministic approach and principles of fuzzy sets theory. Models and algorithms of functional agents allow realize information support of the TLP interacting subjects with regard for the risks and conflict situations. The method includes realized functional agents for negotiations process support, transportations planning and predicting.

The above said agents are interconnected and dynamically functioning in the multi-agent system (MAS) environment. Multi-functional agents developing by this method is base on:

- The multi-criteria theory of selection preferable solutions options in the uncertainty conditions;

- Matrix, bi-matrix, corporate and dynamic games, as well as strategies estimation with regard to Nash equilibrium;

- Ford and Fulkerson methods;

- Travelling salesman problem, knapsack problem and dynamic programming (rational route selection);

- Gantt charts plotting methods, and network scheduling and managing (transportations planning);

- Moving average method and approximation (predicting), ELECTRE method, and fuzzy logic algorithm (negotiation process support).

The article solves the problem of Field-Programmable Gate Array (FPGA)-based Ethernet POWERLINK controlled node implementation with minimal application of both logical cells and memory blocks. As a solution, a novel modular architecture is proposed, which resource intensiveness can be flexibly adjusted depending on the required functionality. Unlike previously known solutions, the proposed architecture does not employ soft-processors and does not require the incoming frames buffering. All data is processed “on the fly”, which allows the node to send a response to the request from the managing node with the minimum latency allowable by the Ethernet standard. The novel architecture employs one shared kernel for interaction with the Ethernet physical layer chip (PHY). This kernel forms a common data channel to which all other modules are connected. Each module processes frames of a certain type (synchronous, asynchronous, cross-traffic frame) and generates corresponding responses. Based on the proposed architecture, the first Russian Ethernet POWERLINK device was created, which compliance with the Standard was certified by Ethernet POWERLINK Standardization Group. By the results of experimental studies, it was demonstrated that the novel architecture requires from 3.5 to 9 times less FPGA logic resources, and up to 126 times less block memory for the of Ethernet POWERLINK devices implementation. The result of no less importance is the possibility of proposed solutions implementation based on FPGA chips from Russian vendors, including those in radiation-resistant version, which allows apply them in aerospace technology.

The presented materials of the study, split into four parts (separate articles), consider the complex issue of mathematical modeling and comparative analysis of the two types of remote control and associated with it design appearance of a promising spacecraft-towing vehicle (STV). The STV is designed to solve the problem of space debris objects (SDO) removal into the disposal orbit from satellite systems (SS) configuration. On the example of mission realization of the SDO removal from the specified orbital plane with return ensuring for the next object removal, scenario of the STV repeated application is being numerically computed.

Substantiation and workout of the design appearance of the prospective STV with two types of propulsion system (PS), such as liquid rocket engine (LRE) and stationary plasma engine (SPE), is being performed. The article presents the STV electric power supply system calculations and determines its weight and energy characteristics, as well as solar batteries size. Specifics and options of possible schemes of SDO removal into the disposal orbit were analyzed. Disposal orbits parameters have been determined for each STV PS type. The issue of the mean value computing of the STV SPE ballistic coefficient on the typical turn of functioning while SDO towing into the disposal orbit was considered. The boundaries of minimum possible altitude of the SPE application ensuring acceleration above the level of atmospheric deceleration were determined.

The article considers the problem of unmanned flying vehicles (UAV) detection and localization. This problem is associated with the UAVs rapid growth in number and relatively mild laws on the UAVs' regulation and flights organization. Thus, it is utterly important to ensure safety of critical facilities and highly crowded places fr om possible threats associated with the UAV application, as well as monitor the air space any time and under any weather conditions. To solve the problem, the authors propose to employ electrostatic monitoring technology.

It is worth mentioning, that conventional detection methods have problems with the low-altitude small UAVs detection. The advantage of electrostatic monitoring technology consists in the fact that this technology is capable provide information passively on low-altitude targets by monitoring changes in the electrostatic field in several points on the Earth surface. Besides, combining electrostatic monitoring technology with other existing detecting techniques may increase the probability of targets detecting.

The authors propose employing the time-frequency analysis for the electrostatic signal extraction. This method may be based on positions of the electrostatic signal extremes. The article defines analytical solution of the electrostatic problem of a point electrostatic charge movement above an infinite horizontal conducting plane.

The results of the analytical solution of the electrostatic problem of a UAV detecting by three electrostatic sensors lying on one straight line are presented. The article determined the theoretical lim it of the UAV detection by an electrostatic sensor. Theoretical equations for the UAV coordinates calculating based on the time-frequency analysis of electrostatic signals were derived.

The article presents experimental electrostatic signals received by an electrostatic sensor while the UAV flight. Two types of sensors were examined in the experiment. These are electrostatic fluxmeter and electrostatic probe.

The authors note that the electrostatic sensor system is potentially capable of detecting UAVs with a charge of 1 µC at the altitudes up to 100 m.

Problems of a low thrust spacecraft trajectories optimization are rather complicated problems of nonlinear optimization in the presence of constrains. The authors suggest applying linearization method modified for compound dynamic systems optimization for solving them. The Modified Method of a Linearization (MML) is quite a general method of nonlinear optimization problems solution. However, specifics of trajectory optimization problems of a low thrust spacecraft require confirmation of the MML application possibility to solve them. Two problems are being solved in this work:

- A flat flight optimization of a spacecraft with electric propulsion unit (EPU) and a solar sail between the Earth and Mars orbits;

- An optimization problem of a flight between two arbitrary non-coplanar near-Earth orbits.

The obtained results were compared to the results obtained by other authors.

The flat flight optimization problem of a spacecraft with EPU and a solar sail between the Earth and Mars orbits was solved for the two values of dimensionless initial acceleration of 1.0 and 0.02. An error of 0.37% in term of criterion, and 0.32% in the flight range angle was obtained for the first problem. In the second problem, the flight range angle error was 4.9%. The criterion value agreed within the put forward significant figures. In the flat flight optimization problem of a spacecraft with EPU and a solar sail between the Earth and Mars the results obtained with MML are better than the results obtained by the majority of other authors in the sense of criterion value. In the optimization problem of elliptic-to-geostationary orbit transfer for minimum time the obtained error in the criterion value was 0.05%, and control and trajectory nature coincided with the considered work.

Based on a number of the well-known examples the article demonstrates the MML steady work while solving the offered problems of trajectory optimization of a low thrust spacecraft with EPU and solar sail. A close agreement of the results with the results of other authors was obtained. This allows make conclusion on the possibility of MML application for solving the regarded classes of the trajectory optimization problems for low thrust spacecraft. The main advantages of the method are the large area of the solution convergence, which allows selecting trivial initial approximations, operating in terms of the loop problem without the necessity of obtaining additional structures of the transversability condition type etc. Rather slow convergence in the problem of transfering a spacecraft with EPU between two noncoplanar orbits, associated with the necessity of selecting a small-size area of the acceptable variations (the area in which the linear programming problem is being solved) to ensure the acceptable linearization level may be related to the shortcomings.

The problem of wave propagation in gas dynamics and elastic shells theory is being studied by linearized equations, propagation velocity being constant and equal to sound propagation velocity in unperturbed medium. Nevertheless, a certain set of occurrences, despite the dependent variables small values, are fully defined by perturbations propagation velocity dependence on dependent variables values and are studied basis on non-linear equations. These studies are performed by the perturbation method. The equations for an elastic body dynamics and liquid for the joint hydroelasticity problem are solved simultaneously, the corresponding boundary conditions impenetrable surfaces are being accounted for herewith. This approach is employed to sudy the non-linear deformation waves of elastic shells, containing viscous incompressible liquid.

The perturbation method for studying deformation waves in physically non-linear elastic cylinder shell, containing viscous incompressible liquid, was developed. The method of two-scale disintegration leads to Korteweg – de Vries generalized modified equation not having the exact solution. The surrounding elastic medium, the structure damping in the longitudinal direction and viscous liquid impact require the numerical solution of the equation.

There are no studies on viscous incompressible liquid impact on the non-linear wave process in elastic shells, the liquid being inside them, with considering its inertia movement local members. The presented article studies consideration viscous incompressible liquid impact on non-linear deformation wave propagation, which requires computer modeling, the liquid being inside the shell. The existing methods of mathematical models qualitative analysis do not fully allow studying deformation wave models in case of the shell filled with viscous incompressible liquid. Transition to initial discrete analogue models represents a far more universal method of models investigation. This publication studies the impact of the structure damping in longitudinal direction, surrounding the elastic medium and viscous incompressible liquid inside the shell on the wave amplitude and velocity. Systematic studying of this model wave movements in physically non-linear elastic shell is performed by the difference scheme in analogy with Crank-Nicholson for heat conduction equation.

A technique for solving the mixed axisymmetric problems for the bodies bounded by the coaxial rotating surfaces from transversal-isotropic material being under the impact of mass forces was developed in this work.

Its basis is a notion of the internal and boundary states, conjugated by the isomorphism, which allows establishing one-to-one correspondence between the elements of these spaces. The internal state includes the stress tensor components, deformation tensor components and displacement vector. The boundary state includes the forces and movements at the boundary, as well as mass forces. The isomorphism of the state spaces is proved, which allows finding the internal state to be reduced to the study of a boundary state isomorphic to it. The basis is formed based on the general solution of the boundary value problem for a transversely isotropic body of revolution and on the method of creating basic displacement vectors. The orthogonalization of the state spaces is performed. Finally, the desired state detecting is reduced to solving an infinite system of algebraic equations regarding the Fourier coefficients.

The article presents the solution of the problem with mixed boundary conditions for a cylinder. The material is a transversely isotropic siltstone with the anisotropy axis coinciding with the geometric axis of symmetry. Mass forces, imitating centrifugal inertial forces, act on the cylinder. Mechanical characteristics have an analytical polynomial character. The article presents the explicit and indirect signs of problem solution convergence, and graphical visualization of the results.

Low-frequency hydro-acoustic irradiators are employed in a wide specter of practical applications: from the long-distance underwater acoustic communication and teleguidance to seismic-geophysical prospecting. The irradiator case manufacturing is one of the most complicated technological procedures while its fabrication and tuning. The proposed structure of the hydro-acoustic transducer with corrugated radiating sheath allows eliminate a number of problems such as sealing, tolerance to hydrostatic pressure, parameter spread and reliability. Mechanical transformation ratio measuring was performed to evaluate the suggested irradiator effectiveness. Distribution of oscillations amplitudes of the radiating case and active element were obtained by the laser vibrometry method. The article presents the comparison of the irradiator mechanical characteristics measuring results in the water with the results of its resonant frequency evaluation based on the simplified theoretical model.
Parameters of the suggested hydro-acoustic irradiator demonstrate the prospects of such converter design and manufacturing techniques. The maximum specific acoustic power of the experimental irradiator with the corrugated case exceeds 360 kW/m³, that is more than one and a half times more, than for the existing compact transducers. The irradiator material and case structure allow its transportation by aerospace carriers. Compact radiators of such design may be applied in small-sized and tiny hydro-acoustic systems, modems, control units, sonars and communication at frequencies from hundreds of hertz to tens of kilohertz.

The article considers homogeneous anisotropic unsteady electromagnetic-elastic motion related to the rectangular Cartesian coordinate system. The resolving system of equations includes equations of motion, Cauchy relations for deformations, Maxwell equations, as well as linearized generalized Ohm’s law and piezo-effects accounting for the physical relationships.

The article demonstrates that the antiplane movement is possible for the transversally isotropic medium in conditions of magnetic piezo-effects absence. It is assumed, that in this option the displacement and non-zero component of electric induction vector are set, and zero initial conditions and all components of stress and strain state are limited at the half-plane boundary.

The problem solving is being sought in the form of convolution functions of the specified displacement and electric induction with relevant surface Green’s functions. Laplace transformations in time and Fourier transformations in space coordinate are applied for their plotting. Analysis of images and characteristic equation revealed the intricacy of plotting the originals in an explicit form. Thus, the method of a small parameter, which is used as a coefficient, linking mechanical and electromagnetic fields, is employed. With this, it was marked that with the zero small parameter these fields are independent.

An explicit form of images of the first two coefficients of the corresponding power series was found. Their original are being found either by sequential Fourier and Laplace transforms inversion, or with the algorithm of joint Fourier and Laplace transforms inversion. In the most complicated case, the original is being presented in the form of definite integral, being calculated by a numerical procedure.

As a result, the problem solution is reduced to the two linear operators in convolution functions for the sought-for functions.

The examples of calculations are presented for the the material of a half-space in the form of quartz. The article demonstrates the dependencies on time and spatial coordinate of the resolving relations kernels, as well as electric induction and displacement for the concrete option of boundary conditions. Induction changes linearly along the coordinate, as the Heaviside function in time, while the displacement changes correspondingly as the Dirac delta function and linearly.

It is stated that single-error corrections introduced into the solution with due regard to piezoelectric properties of the medium have the order of the coefficient linking mechanical and electromagnetic fields.

Aerodynamic characteristics optimization of the transonic airfoil while flow-around control was performed based on numerical modelling. A jet of compressed air was blown-out from a small slot nozzle tangentially to the upper surface of the airfoil in the region of the shock wave. The blowing-out affects the shock wave and boundary layer interaction (SBLI), thus improving the airfoil performance.

The flow-around modelling was performed in the framework of the Reynolds equations. Computations were carried out in the 2D-setting for a mode with the Mach number of M = 0.72 and Reynolds number Re = 2.6 ∙ 106, computed by the chord, which corresponds to the testing mode in the wind tunnel.

Numerical optimization was performed to find optimal blowing-out parameters. With this, the blowing-out position, its intensity and the angle of attack were varied. Two objective functions were considered, namely, aerodynamic quality maximization and drag minimization at the constant lifting force. For the first objective function, position was being varied from 55% to 96% of the chord, and for the second one from 55% to 65% of the chord. The intensity was being varied from 100 to 300 kPa. The angle of attack was varied from 0.9 to 2.5 degrees.

The adaptive single-objective optimization was used. This method consists in employing Optimal Area Filling, Kriging response surface, and MISQP gradient algorithm (Mixed-Integer Sequential Quadratic Programming). Optimization revealed that for the lift-over-drag ratio objective function maximization, the optimal slot position was 83% of the chord, and the optimal jet intensity is C_µopt = 0.0049. For the objective function of Cxa minimization at a constant Cya ≈ 0.51, the utmost right position of the nozzle (65%) of all considered, and jet intensity Cµopt = 0.0051 are optimal. Tangential blowing-out with optimal parameters increased K_max by 6% for the case of maximum quality; in the case of minimization of drag, K_max increased by 3.5%, while the drag decreased by 1.1%.

Further the authors are planning consider more complex objective functions, accounting for the jet reaction contribution, as well as energy consumption for its blowing-out.

The article discusses the results of aircraft icing studying performed at TsAGI in the conditions of liquid droplet, crystalline and mixed clouds. The experimental set-ups for icing studying are described. Methods of ice crystals forming in the flow of icing wind tunnel are presented. The article presents data on the size and shape of the obtained crystals.

The results of the latest activity of TsAGI in international research projects on icing are presented. A number of coatings were studied under the conditions of run-back ice formation within the framework of the ICETRACK project.

The HAIC project (High Altitudes Ice Crystals) is studying the physics of icing under fully glaciated conditions. The experimental results on the formation of run-back ice on a wing profile model with a heated leading edge are described. The experiments were performed under conditions of crystal impingement for the cases of the initially dry heated surface and for that covered with an artificially created liquid film.

The physical-and-mathematical models of the of ice crystals interaction with both dry and wetted surfaces of streamlined bodies were developed.

For the case of a wetted surface, the water film movement along the surface is considered. The impact of the finite melting time of the crystals and the dependence of the effective suspension viscosity from the mass fraction of the dispersed phase on the processes occurring in the film are accounted for.

The movement of spheroidal crystals in the airflow is considered for the case of a dry surface. The model accounts for the orientation of non-spherical particles with respect to the air velocity vector. It is shown, that the process of ice accretion on the wing profile surface in the stream carrying oblate spheroidal crystals differs greatly from the case of a flow with spherical crystals

A numerical verification of the developed models was performed by comparison with the experimental data. The results of these studies are important for the problems of icing of engines and Pitot tubes in fully crystalline and mixed conditions.

There is presently no reliable theoretical approach capable to predict the unsteady aerodynamic forces acting on the airfoils at the helicopter blade sections operating near or beyond the dynamic stall angle of attack. However, numerous wind-tunnel tests of vibrating airfoils do provide a valuable experimental foundation for establishing phenomenological models, through which certain semi-empirical predictions can be made.

The article presents the results of experimental studies of non-stationary integral and distributed aerodynamic characteristics of the helicopter's airfoil in stationary and non-stationary modes. The stationary mode is a fixed airfoil in a uniform steady airflow. The non-stationary mode is an airfoil vibrating in the pitch angle in a uniform steady airflow. The studies were being performed in the vertical, closed-circuit TsAGI wind tunnel with an open test section at Reynolds numbers Re = 270,000 and 540,000, and at reduced frequencies from 0.06 to 0.26.

A particular feature of the study was application of two methods for aerodynamic characteristics determining, namely, a direct method of forces measuring using balance, and calculating forces by integrating the pressure distribution along the chord. The obtained results are compared to each other, and their satisfactory agreement in the stationary mode is shown.

Another feature of the study is the analysis of forces pulsations and pressures on the airfoil surface. In particular, using the wavelet analysis, a phenomenon called “frequency explosion”, specific for the dynamic stall of the flow, is demonstrated.

Modern models for high-temperature chemically non-equilibrium flows calculating in nozzles are based on the detailed chemical kinetics. For this purpose, a certain reaction mechanism is built into the model. An expert approach is usually used to substantiate (reduction) this mechanism. However, it requires significant time consumption, and is performed only by the experienced specialists.

However, a number of automated reduction methods (an automated approach) are already developed thus far, and widely used. The article proposes a procedure for reducing the reaction mechanisms for chemically non-equilibrium flows in aircraft engines nozzles. This procedure consists of two methods: DRGEP (Directed Relation Graph Error Propagation) method and method of engagement with an adaptive threshold. The DRGEP method is focused on selection of only unimportant species and removal them from reaction mechanism along with reaction triggering them. If insignificant reactions still remain in the mechanism, they are removed by the method of engagement.

This procedure is included in the program for calculating chemically non-equilibrium flows in a nozzle. It generates a reduced local mechanism (L-mechanism) from the initial (redundant) set of reactions for the given values of the parameters α_ok, P_ос , r_m. Joining the L-mechnisms, obtained with the other values of these parameters it is possible to form a global mechanism (G-mechanism) for the specified area of their variation.

The cre ate d procedure validation was performed for the combustion products flow in the profiled nozzles for the LRE engine fuel (“О₂ + kerosene” and “N₂O₄ + C₂H₈N₂”) for a wide range of variation: oxidant excess ratio ( α_ok = 0.7…1.2); pressure (P_ос = 20…100 atm.); minimum radius (r_m = 0.006….0.06 m) with a geometric degree of expansion f_a = 50.

With an acceptable error in the flow characteristics prediction:

a) G -mechanism recombination of the working medium “О₂ + kerosene” was reduced from 47 reactions and 16 substances to 15 reactions and 9 substances (H , H₂ , O , O₂ , CO₂ , H₂O , CO , OH , HCO);

b) G -mechanism recombination of the working medium “N₂O₄ + C₂H₈N₂” was reduced from 82 reactions and 26 substances to 27 reactions and 15 substances (H, H₂, O, O₂, CO₂, H₂O, CO, OH, N, N₂, NO, NH, HCO, HNO, N₂O).

The classical theory does not produce a satisfactory compliance with practice while calculating the stress-strain state of structural elements in the areas of fixture and action of local and rapidly changing loads, as well as structural elements made of heterogeneous materials. To describe the volumetric stress-strain state, it is necessary to develop a refined, with respect to the classical theory of the Kirchhoff-Love type, theory based on the three-dimensional equations of the elasticity theory.

The presented work proposes an option of the refined theory of the stress-strain state calculation of isotropic shells. The mathematical model is built based on the 3D equations of the elasticity theory. The problem of 3D equations reduction to the 2D equations is being solved by representing the desired displacements with polynomials over the normal coordinate of two orders higher relative to the classical theory.

The system of differential equations of equilibrium in displacements with variable coefficients was obtained using the Lagrange variational principle. The aforesaid system of equations solution was being performed by methods of finite differences and matrix run. As a result, the displacements in the grid nodes were obtained, and splines were used for their approximation. The shell deformations are being found by dint of geometry relationships, and tangential stresses are determined from the Hook’s law relationships. Lateral stresses are obtained by direct integrating of the equilibrium equations of the 3D elasticity theory.

A hemispherical shell rigidly clamped along the lower contour of the base is considered as an example. Comparing the obtained results with the data of the classical theory allowed establishing that the refined theory should be used while studying the stress-strain state of the spherical shell near the zones of the stress state distortion. For example, it should be applied in the vicinity of a rigidly clamped edge, since the maximum stresses in this zone are being refined substantially.

Neglected in the classical theory, the transverse normal and tangential stresses in the border zone are of the same order as the maximum stress values corresponding to the classical theory. Such high levels of additional stresses should be accounted for while assessing the shell structures strength and durability.

With distancing from the edge the stresses, obtained by the refined and classical theories are practically concurring, which confirms the fidelity of the obtained results.

The purpose of this work consists in selecting an optimal device for processing a complex signal, ensuring a low noise level. The article considers the operation principle of the scheme for forming and processing a complex signal with informational modulation. It describes also the receiver operation, which performs the inverse transformation of the signal. The authors consider several types of demodulator schemes and their principle of operation. Based on the existing options for schemes structures that solve the problem of the channel selection in which the signal is located, the comparative analysis of the options for the solver structure, allowing substantially reduce the interference impact, was performed. In conclusion, the brief comparative review of the proposed solver units is carried out. The authors make conclusion on selection of a certain type of solver unit that increases the noise immunity of complex signals due to selection of the signal certain parameters.

Relevance of the presented work theme is substantiated primarily by the necessity of developing the new techniques and methods allowing detecting, classifying and distinct complex signals of this or that radio-receiving unit, since more and more radio-electronic means employed onboard the civil and military aircraft are operating with complex signals. The most widespread complex signals herewith are the signals based on linear M-sequences. Application of complex signals is stipulated by their pronounced noise-proof characteristics necessary in conditions of radio channels operation in jamming environment. The radio channel saturation by the complex signal herewith requires the receiver quite accurately detect exactly its own radio signals. In this regard, it is necessary to develop an approach allowing determine the class and distinct the type of signal-code structure to step-by-step simplification of the algorithm for signal detection, identification and processing.

A model of statistical factor analysis was applied for a batch of 12 samples of glass-epoxy double-sided and multilayer printed circuit boards (PCBs) to examine the engineering tolerance of the average values of elastic modulus and mechanical loss coefficient. Experimental estimates of the variations were obtained in the form of ratios of standard deviations of the technological and measuring errors.

Samples of various thickness with a shape of rectangular plates with 130 by 60 mm size were alternately secured in the fixture on a vibrating table by the four screws on the corners. Registration of frequency characteristics near the first resonance was performed with the IMV shaker i220 in the sinusoidal vibration mode within the frequency range of 5 ... 2000 Hz with a vibration acceleration of 2 g. In this frequency range the device has no natural resonances.

The measurement cycle consisted of two series of measurements of each sample, performed within one working day, with one-hour interval between each series. Three cycles were performed: before and after the heat treatment in a convective reflow oven, and after 6 months of storage at room temperature.