Andrey V. Eliseev

Irkutsk State Transport University

This article develops new approaches to the formation of a methodological basis in technologies for evaluating the properties of mechanical dissipative structures using examples of mechanical systems with concentrated parameters that are used as calculation schemes for technical objects of technological and transport purposes. Features of the formation of States in the interactions of elements of mechanical systems are considered. Methods are proposed for evaluating the properties of mechanical systems based on characteristics that depend on the coefficients of partial block motion forms in the free motion mode.
The concept of the damping function is introduced, which reflects the features of the ratio of kinetic energy and its scattering function. In the application to mechanical systems with two degrees of freedom, an algebraic method is proposed and developed for constructing the corresponding damping function that depends on the connectivity coefficient and reflects the dynamic features of the mechanical system. Model examples show that the constructed damping function has a number of extreme properties similar to those considered for frequency energy functions used in structural mathematical modeling methods. An original method for constructing the damping function for evaluating the features of the dynamic properties of mechanical systems with energy dissipation is developed, which displays the properties of connectivity of free motion forms caused by initial conditions. The dependence between the characteristic of damping elements and the distribution of form coefficients that determine the extreme values of the damping function is established. A number of forms of damping functions for various variants of mechanical systems are considered, including limit parameters that determine the degree of connectivity of the movement of mass-inertia elements of the system. The results of the solution are presented using model examples.

Mechanical system with dissipation, dynamic connections, energy frequency function, damping function, system approach, connectivity of element movement, extreme properties