Dynamics of a harmonically excited oscillator with dry-friction on a sinusoidally time-varying, traveling surface

In this paper, periodic motion in an oscillator moving on the periodically traveling belts with dry friction is investigated. The conditions of stick and nonstick motions for such an oscillator are obtained in the relative motion frame, and the grazing and stick (or sliding) bifurcations are presented as well. The periodic motions of such an oscillator are predicted and numerically, and the analytical prediction is based on the appropriate mapping structures. The local stability and bifurcation for such periodic motions are obtained. The periodic motions are illustrated through the displacement, velocity and force, responses in absolute and relative frames. This investigation provide's an efficient method to predict periodic motions of such an oscillator involving dry-fiction. The significance of this investigation lies in controlling motion of such friction-induced oscillator in industry.