A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system

In this paper, we propose a new method for taking into account uncertainties occurring due to gear friction, based on the projection on polynomial chaos. The new method is used to determine the dynamic response of a spur gear system with uncertainty associated to friction coefficient on the teeth contact. The simulation results are obtained by the polynomial chaos method for dynamic analysis under uncertainty. The proposed method is an efficient probabilistic tool for uncertainty propagation. The polynomial chaos results are compared with Monte Carlo simulations.