DISTRIBUTION OF SUBHARMONIC AND ULTRAHARMONIC WAVES WITH THE NONLINEAR MECHANISM OF DISSIPATION OF ENERGY

Document Type : Original Article

Authors

1 Prof. Dr , Institute of Industrial Engineering, Kazakh National Technical University after K. Satpaev, Almaty, Republic of Kazakhstan.

2 Associate prof. PhD, Faculty of Information Technologies, International Information Technologies University, Almaty, Republic of Kazakhstan.

Abstract

ABSTRACT
The statics and dynamics of mechanical systems with contact dry friction,
representing the nonlinear mechanism of the energy dissipation, is a new actual
direction in the nonlinear mechanics of deformable solids. Damping effects of this
sort can appear on the boundaries of rough layered environments or in relative
movements of one body along a surface of another. Such kind of tasks come to
consideration of the hyperbolic type equations of a nonlinear system and connected
with distribution and attenuation of nonlinear waves. Analytical results for the
distribution of nonlinear waves in the system with contact dry friction under the
influence of cyclic loads were obtained. The class of loads under which the system
shows subharmonic and ultraharmonic oscillations was determined. Based on the
results of obtained decisions the following conclusion has been made: there is a
class of cyclic loads with the frequency to arbitrary integer times which differs from
the frequency of its own fluctuation of system under the action of which the system
performs established or resonant fluctuations.

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