基于轮胎非线性特性的汽车动力学问题

长期以来，人们对轮胎的非线性进行了大量的理论与试验研究，总结出各种理论模型与经验模型。利用这些非线性轮胎模型建立汽车动力学的非线性常微分方程组，通过数值积分，可以获得汽车在各种工况条件下的稳态与瞬态转向特性。但这些模型的普遍缺点是不能用于对汽车行驶的稳定性作定性分析。本文提出了一种轮胎非线性侧特性的摄动模型，利用近似解析方法，讨论了轮胎非线性特性对汽车的转向特性、动态响应和汽车行驶稳定性的影响，导

On Dynamics of Vehicle Based on Nonlinear Characteristics of Tires

A lot of theoretical and experimental researches on tire nonlinear performance has been done for many years. Various theoretic and empiric models have been proposed.The vehicle' s steering characteristics of steady-and transient state under different operating mode can be evaluated by numerical integral making use of these nonlinear tire models to establish the vehicle dynamics equations. But these tire models have the same drawback that the handling stability can not be analyzed qualitatively. A new nonlinear perturbation model on the cornering behavior of tire is constructed in this paper. The nonlinear influences of tires for the steady-state steering behavior, dynamic response and handling stability of vehicle are discussed, applying the approximate analytical methods of nonlinear vibration. An analytical critertion of stability is induced. Some simulation examples are give.