@Article{cmes.2020.06911,
AUTHOR = {Shichao Ma, Xin Ning, Liang Wang},
TITLE = {Dynamic Analysis of Stochastic Friction Systems Using the Generalized Cell Mapping Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {122},
YEAR = {2020},
NUMBER = {1},
PAGES = {49--59},
URL = {http://www.techscience.com/CMES/v122n1/38235},
ISSN = {1526-1506},
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 
approximate transformation. 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 the 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. The stochastic P-bifurcation 
phenomena indicate that the stability of the friction system changes very sensitively with 
the parameters. Research of responses analysis and stochastic P-bifurcation has certain 
significances for the reliability and stability analysis of practical engineering.},
DOI = {10.32604/cmes.2020.06911}
}