Dynamic Analysis of Stochastic Friction Systems Using the Generalized Cell Mapping Method

Friction systems are a kind of typical non-smooth systems in the actual engineering and often generates complicated dynamics. It is difficult to handle this systems by conventional analysis methods directly. In this context, we investigate the stochastic responses of friction systems using the generalized cell mapping method under random excitation in this paper. To verify the accuracy and validate the applicability of the suggested approach, we present two classical nonlinear friction systems, i.e., Coulomb force model and Dahl force model as examples. Meanwhile, this method is in good agreement with Monte Carlo simulation method and the computation time is greatly reduced. In addition, further discussion finds that the adjustable parameters can induce the stochastic P-bifurcation in the two examples, respectively.