Analysis on Polygonal Wear of Automotive Tire Based on Lateral Vibration of Tire Tread
The nonlinear characteristic of tire's grounding friction being considered,a dynamic model of the polygonal wear of tire is established by using dynamical LuGre friction model based on the lateral vibration of tire tread.Then the stability of the system is analyzed,and the self-excited vibration of the tire is proved to be a kind of stable periodic vibration caused by Hopf bifurcation of system.The results show that the polygonal wear of tire is a typical nonlinear self-excitation vibration phenomenon which is related to lateral vibration of tire tread and the polygonal number is equivalent to the ratio of the lateral vibration frequency of tire tread to the rotational frequency of tire.The ranges of speed and toe-in-angle which can motivate self-excited vibration are given through simulation.The results show that the model can interpret the formation mechanism of the polygonal wear,and provide a theoretic foundation to reduce or eliminate the tire's self-excited vibration.