Dynamic modeling and analysis of spur gears considering friction–vibration interactions

Abstract

Sliding friction is a non-negligible excitation source in gear vibration. The instantaneous vibratory velocity affects the relative sliding velocity of the mesh tooth, resulting in a change of the friction force, that may increase gear vibration. This paper aims to present focuses on studying the dynamic responses of spur gears with considering friction–vibration interactions. First, the angular position-dependent time-varying mesh stiffness function was established based on the torsional vibration motion of the pinion. Second, the sliding friction forces are calculated by considering the torsional and translational vibration motions of the gear system. Third, a six-degree-of-freedom analytical spur gear pair model is developed by incorporating the time-varying mesh stiffness and sliding friction. Finally, the dynamic responses for spur gears with sliding friction considering the effect of vibration are illustrated by comparing the simulation results from three models. The results indicate that it is very necessary to consider the effects of vibration on the sliding friction for gear dynamic responses.