中文摘要：

多边形磨损是汽车轮胎磨损研究中的新课题,具有重要的理论价值和研究意义.考虑轮胎接地磨擦的非线性特性,建立了基于LuGre摩擦模型的轮胎侧、垂向力耦合的动力学模型.根据自激振动理论,得出轮胎多边形磨损与胎面的侧向振动有关,磨损边数近似等于胎面的侧向振动频率与车轮滚动频率之比,并通过仿真得到了能够引起胎面自激振动的车速和车轮前束角范围.结果表明,所建模型能很好地解释轮胎多边形磨损的形成机理,为减小或消除轮胎的自激振动提供了理论依据.

英文摘要：

Considering the nonlinear characteristic of tire＇s grounding friction,a dynamic model of tire＇s lateral-vertical force coupling is established based on LuGre friction model.According to self-excitation theory,polygonal wear of tire is found to be 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 this 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.