汽车稳态转向失稳的最近分岔点实时追踪  

Real-time Tracking of the Closest Bifurcation for Vehicle Steady-state Cornering Stability

作　　者：杨秀建[1] 王增才[1] 朱淑亮[1] 彭伟利[1] 

机构地区：[1]山东大学机械工程学院,济南250061

出　　处：《农业机械学报》2009年第1期20-25,共6页Transactions of the Chinese Society for Agricultural Machinery

基　　金：汽车动态模拟国家重点实验室开放基金资助项目(20071110)

摘　　要：为探索汽车稳态转向失稳的非线性动力学行为,采用二次多项式轮胎模型建立了包含侧倾运动和平面运动的四维非线性侧向动力学系统。极限工况下汽车的稳态转向失稳与鞍结分岔有密切的联系,提出了基于最近鞍结分岔点实时追踪的汽车稳态转向稳定性分析方法,即采用迭代法在u-δf参数空间中实时搜索与当前工作点距离最近的分岔点,并以此最短距离作为汽车稳态转向的稳定裕度。均匀路面工况和对开路面工况下的实例计算表明,该方法经过很少的迭代次数即可找到最近的分岔点,计算速度快,满足实时性要求,可以对汽车的稳态转向稳定性实时做出预测。In order to investigate the nonlinear behaviour which leads the vehicle steady-state cornering to destabilization, a 4-D （four-dimensional） nonlinear vehicle lateral dynamic system consisting of the roll and the planar motions was founded utilizing a quadratic tire model. Considering the relation between the vehicle destabilization and the saddle-node bifurcation in critical conditions, a method for analyzing vehicle steady-state cornering stability was proposed based on the real-time tracking of the closest bifurcation point. The objective is to compute the shortest distance from the current operating point to bifurcation by iteration method in the μ-δf parameter space to evaluate the steady-state cornering stability margin. Testing computation conducted in symmetrical and μ-split conditions respectively demonstrates that the closest bifurcation point can be found after a short-time iteration which satisfies the real-time computation demand and this method can provide valuable information for vehicle stability control system.

关 键 词：汽车 转向稳定性 鞍结分岔 最近分岔 非线性动力学 

分 类 号：U461.6[机械工程—车辆工程]