Abstract
The statics and dynamics of mechanical systems with contact dry friction,representing the nonlinear mechanism of the energy dissipation, is a new actualdirection in the nonlinear mechanics of deformable solids. Damping effects of thissort can appear on the boundaries of rough layered environments or in relativemovements of one body along a surface of another. Such kind of tasks come toconsideration of the hyperbolic type equations of a nonlinear system and connectedwith distribution and attenuation of nonlinear waves. Analytical results for thedistribution of nonlinear waves in the system with contact dry friction under theinfluence of cyclic loads were obtained. The class of loads under which the systemshows subharmonic and ultraharmonic oscillations was determined. Based on theresults of obtained decisions the following conclusion has been made: there is aclass of cyclic loads with the frequency to arbitrary integer times which differs fromthe frequency of its own fluctuation of system under the action of which the systemperforms established or resonant fluctuations.