Shichao Ma1, 2, *, Xin Ning1, 2, *, Liang Wang3
CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 49-59, 2020, DOI:10.32604/cmes.2020.06911
Abstract Friction systems are a kind of typical non-linear dynamical systems in the actual
engineering and often generate abundant dynamics phenomena. Because of non-smooth
characteristics, it is difficult to handle these systems by conventional analysis methods
directly. At the same time, random perturbation often affects friction systems and makes
these systems more complicated. In this context, we investigate the steady-state stochastic
responses and stochastic P-bifurcation of friction systems under random excitations in this
paper. And in order to retain the non-smooth of friction system, the generalized cell
mapping (GCM) method is first used to the original stochastic friction systems without any… More >
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