Energy characteristics in the evaluation of elastic and lever ties in the dyad of a mechanical oscillatory system


Аuthors

Eliseev A. V.1*, Kuznetsov N. K.1**, Mironov A. S.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: art.s.mironov@mail.ru

Abstract

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.

Keywords:

mechanical oscillatory system, lever coupling, structural mathematical model, transfer function, connectivity of external disturbances, frequency energy function, damping function

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