The intention behind this work is to develop a friction coefficient model understanding of self-excited vibrations. As a result of self-oscillation, Polygonal Wear often occurred on the tire of truck/bus and car which run on freeways or highways continuously. Based on the characters of Polygonal Wear, we showed a mass-on-moving-belt frictional vibration model, which reflected the phenomenon of lateral vibration caused by velocity and deflection angle. When Coulombpsilas friction law couldn't explain the energy transferring and converting between the frictional vibration system, we built a new friction coefficient model by comparing to other frictional vibration models, then we put the whole system into simulation within this model, that was proved out reasonably and showed the influence of model parameters concerned.
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