TY - EJOU
AU - Ma, Shichao
AU - Ning, Xin
AU - Wang, Liang
TI - Dynamic Analysis of Stochastic Friction Systems Using the Generalized Cell Mapping Method
T2 - Computer Modeling in Engineering \& Sciences
PY - 2020
VL - 122
IS - 1
SN - 1526-1506
AB - 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.
KW - Friction systems
KW - non-smooth
KW - stochastic responses
KW - cell mapping
DO - 10.32604/cmes.2020.06911