Nonlinear dynamics of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

In this paper, nonlinear dynamics of two-stage planetary gear (TSPG) system with elastic ring gear and sliding friction are studied to extend previous study. Compared with the present literatures, the majority of previous works modeled ring gear as a rigid body and completely ignored the sliding friction. This study mainly focus on the investigation of the effect of sliding friction and ring's elasticity on the nonlinear behavior through the previous elastic TSPG model. Time-varying mesh stiffness formulas including sliding friction and nonlinearity backlash are derived to compare the bifurcation diagrams and vibration response. Numerical examples show interesting behaviors for the TSPG model including sliding friction and elastic component in comparison with the lumped parameter model.

Automated summary

This paper investigates the nonlinear dynamics of a two-stage planetary gear system with elastic ring gear and sliding friction. Compared to previous studies, this research considers the effect of sliding friction and ring's elasticity on the system behavior. Numerical examples are used to compare the behaviors of the TSPG model with sliding friction and elastic component with the lumped parameter model.