A Polynomial Chaos Method for the Analysis of the Dynamic Response of a Gear Friction System

In this paper, we propose a new approach for taking into account uncertainties based on the projection on polynomial chaos method. The new approach is used to determine the dynamic response of a one-stage spur gear system modeled by eight degrees of freedom in the presence of friction coefficient between teeth that admits some dispersion. Therefore, it becomes necessary to take this uncertainty into account in the stability analysis of gear system to ensure robust predictions of stable and instable behaviors. The simulation results are obtained by the polynomial chaos approach for the dynamic analysis of a one-stage spur gear system with the uncertainty associated with friction coefficient on the teeth contact. The proposed approach is an efficient probabilistic tool for uncertainty propagation. The polynomial chaos results are compared with Monte Carlo simulations. The main results of the present study show that the polynomial chaos may be an efficient tool to take into account the dispersions of the friction coefficient of a one-stage spur gear system.