Abstract
Frictional vibration occurred in a dynamic system composed of a belt and a slider supported by springs was simulated by Cellular Automata. Cellular Automata is a discrete modeling system of complex phenomena, in which time transition of state variables is simulated at each tune step just by local neighbor rules introduced to make the relation of state variables to each other on neighboring cells. The friction dynamics has been studied for a long time and various modeling technique have been proposed, but dynamical behavior on friction surface has not been revealed yet. This may be caused by the complexity of behavior on that surface. In such cases, Cellular Automata may be applied as a strong tool of modeling because we need not derive the governing equation in the procedure of Cellular Automata. In this study, we succeeded in modeling the friction dynamics by introducing local dynamics of contact points between solid surfaces. Based on spring-block model proposed by Burridge and Knopoff, a new layer of internal surface and rules were introduced to consider the contact area of friction surfaces. Stick-slip and self-excited vibration dynamics could be modeled successfully by this new model.
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