Nonlinear Interaction of Oscillation and Rotation in Oscillator-Vibrator Systems

Abstract

Synchronous stationary regimes in a model of an oscillator-vibrator system are considered. Along with the first approximation solution for averaged characteristics we obtain a refined analytical solution in the second approximation which is confirmed with excellent accuracy by numerical simulation of the original set of the motion equations. It is revealed that the non-uniformity of the rotation can cause instability of synchronous stationary regimes in the pre-resonance range which was not predicted in the previous researches.