Dynamic response of a Spur gear system with uncertain friction coefficient

In this paper, we propose a method for taking into account uncertainties based on the projection on polynomial chaos. The proposed method is used to determine the dynamic response of a spur gear system with uncertainty associated to friction coefficient on the teeth contact. We developed a lumped dynamic model with 8dofs. Lagrange formalism is used to formulate the governing equation of motion of the model. The simulation results are obtained by the polynomial chaos method for dynamic analysis under uncertainty. The polynomial chaos results are compared with Monte Carlo simulations.