New approaches to the estimation of dynamic properties of vibrational structures: frequency functions and connectivity of movements
DOI: 10.34759/trd-2021-120-08
Аuthors
1*, 1**, 2***1. Irkutsk National Research Technical University, 83, Lermontov str., Irkutsk, 664074, Russia
2. Irkutsk State Transport University (IrGUPS), 15, Chernyshevsky str., Irkutsk, 664074, Russia
*e-mail: eavsh@ya.ru
**e-mail: knik@istu.edu
***e-mail: eliseev_s@inbox.ru
Abstract
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.
Keywords:
technical object, design scheme, mathematical model, transfer function, dynamic vibration damping, motion connectivity, frequency functionReferences
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