Abstract
The article describes the results of modeling the oscillation of the impact device elements in the presence of hysteresis damping together with dissipative. The influence of the symmetrical and asymmetric power characteristics on the oscillation mode is considered. For a single-mass model, initial problems are formulated and solved. Under the condition of continuity, an analytical solution is obtained that practically coincides with the numerical one. Initial-boundary value problems are formulated for the tool of an impact device, as a rod of variable section. Problem solving is found by the finite difference method. The properties of two-layer and three-layer difference schemes are estimated. The limiting amplitudes of the oscillations of the rod cross-sections are controlled by the initial-boundary-value problem, which is obtained by the Fourier method. The stress distribution over the rod length is obtained.
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