轮胎非线性自激振动的动力学稳定性分析

Dynamics Stability Analysis of Tire's Non-linear Self-excited Vibration

考虑轮胎接地摩擦的非线性特性,建立胎面-地面系统的考虑时间延迟的动力学振动模型,以常微分方程稳定性理论和非线性动力学理论为基础,阐明了轮胎的自激振动是一种非线性动力学Hopf分岔后出现的稳定极限环振动现象。通过MATLAB/Simulink进行仿真试验,证明了自激振动现象的存在,并且系统在临界车速发生了Hopf分岔,与实际情况一致。

Polygonal wear of tire is one of the most pressing problems to be solved in the process of a vehicle＇s research and design. Considering the nonlinear characteristics of tire＇s grounding friction, a dynamics vibration model of tread--pavement system, taking time--delay into account, was estab- lished. The self--excited vibration of tire is proved to be a kind of non linear,stable,limit cycle vibration based on the theories of ordinary differential equations（ODE） stability and non--linear dynamics. Hopf bifurcation happens at critical speed,as well as the phenomenon of hard self--excited vibration are proved to be accordant with the truth after simulating in MATLAB/Simulink.