Numerical Simulation for Two-dimensional Friction Induced Vibrations

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In this work, we propose a model for explanation for friction induced vibration in a brake pad and disk system. In this model, a brake pad is regarded as a set of many blocks two-dimensionally arranged and connected to each other with springs. We assume that shear forces act on each block besides elongation and compression forces. The blocks are placed on a floor which moves with constant velocity, and irregular normal forces are applied to each block. The velocity-dependent sliding friction force of exponential type is assumed. The results of numerical simulation show that characteristic oscillation are generated in all cases examined, and the features and frequencies determined by these modes depend on the block size and constraint to blocks. The frequencies of these modes almost coincide with those observed by experiments.
日本学術会議「機械工学委員会・土木工学・建築学委員会合同IUTAM分科会」の論文