Abstract:Rattling,a nonlinear vibration,is an irregular vibration phenomenon when gear is unloaded which is the main source of the gearbox noise.A stochastic damping Rattling system was considered.Discrete stochastic model described by mean maps was established with nonGaussian truncation technique.Matlab program and experiment are applied to analyzing the dynamic response of this model.The result shows that the model will be stochastic chaos under some parameters and the power spectral density of average velocity is wideband process,and gearbox noise can be controlled by adjusting the intensity of stochastic damping.