Hopf bifurcation and stability analysis of a non-linear model for self-excited vibration of tire

This work explains the hopf bifurcation and stability of self-excited vibration with the variety of vehicle velocity. Polygonal wear of tire is one of the most pressing problems to be solved in the process of a vehicle's research and design. Based on the non-linear character of friction coefficient, which combines the concept of static and kinetic friction, a model of tread-pavement, taking time-delay into account, is built. The phenomenon of hard self-excited and hopf bifurcation is proved after simulating in matlab.