Sergey V. Eliseev, Sergey K. Kargapoltsev, Andrey V. Eliseev

Irkutsk State Transport University

The article deals with the formation of a methodological basis for the system analysis of mechanical oscillatory structures that reflect the properties of transport and technological objects under conditions of vibrational dynamic loads. The aim of the study is to develop a method of analysis and dynamic synthesis in the problems of dynamics of mechanical oscillatory systems, focused on detailing ideas about the formation of generalized relationships between the parameters of the system and evaluating the features of the resulting lever relations. Methods of the general theory of systems, in particular, the analytical apparatus of the theory of automatic control are used. It is shown that the introduction of transfer functions of interpartial connections makes it possible to construct a scheme for evaluating and using specific properties of mechanical oscillatory systems. A method is proposed in which a mechanical oscillatory system with linear properties and concentrated parameters can be interpreted as a dynamically equivalent automatic control system. The transfer function of the system is constructed on the basis of differential equations of motion obtained within the framework of the Lagrange formalism with subsequent Laplace transformation, which creates a convenient platform for evaluating the dynamic properties of the system. It is shown that the transfer function without special connections, when the frequency of the external disturbance is zeroed, displays the properties of the virtual lever under static loading conditions. A number of new concepts about the manifestations of the lever properties of a mechanical oscillatory system at fixed frequencies of external harmonic in-phase disturbances are introduced and considered. The proposed method is illustrated by a number of examples.

mechanical oscillatory system, block diagram, transfer function, lever connections, transfer relations