PHYSICO-MATHEMATICAL MODELING OF NONLINEAR FRICTIONAL SYSTEMS
In the course of dynamic interaction between contacting micro- and macro-roughness in the mode of Coulomb and boundary friction there are physico-mathematical characteristics of tribolayers of contacting surfaces. Highly nonlinear processes of friction connected with dynamic processes, which occur in quasilinear mechanical subsystem, define values of outlet characteristics of the friction system, which fluctuate in a very wide range. So, the friction coefficient for the same pairs of friction at maintenance of consistent conditions and parameters of friction can vary from 0 (the Tolstoy-Push effect) up to the infinity (modes of athermic and thermic adhesion) at changing the character of the dynamic interaction between micro- and macro-roughness. The developed method of the physico-mathematical modeling allows to estimate values taking into account the dynamic characteristics of specific mechanical systems, friction knots and materials of friction surfaces. It also let consider a complicated nonlinear cohesion of dynamic processes occurring in the friction contact and the mechanical subsystem.