基于中心流形理论的复杂汽车摆振系统Hopf分岔特性  

Hopf bifurcation characteristic based on center manifold theory of complex automobile shimmy system

作　　者：陈长鹤 魏道高[1] 蒋统 张强强[1] 

机构地区：[1]合肥工业大学机械与汽车工程学院

出　　处：《客车技术》2016年第2期9-14,共6页Bus Technology

摘　　要：以国产某型汽车为样车，考虑悬架与转向系统干摩擦力及轮胎侧偏力非线性，应用拉格朗日方程建立了整车10自由度摆振系统动力学模型。运用Hopf分岔定理和中心流形定理，定性判定了系统极限环存在性和稳定性，运用数值方法计算了干摩擦力矩大小对系统Hopf分岔特性影响，并且对原系统与降维系统Hopf分岔特性进行对比计算。结果表明，增加汽车悬架与转向系统干摩擦力矩能显著减小整车自激摆振的幅值，尤其能减小由前轮摆振诱发的方向盘自激振动的幅值。中心流形理论可以对汽车复杂的自激摆振系统Hopf分岔速度特眭快速计算与分析。Take domestical made some automotive as sample vehicle,consider dry friction of suspension and steering system and nonlinear tyre cornering force,using lagrangian equation to set up 10 degree of freedom shimmy system dynamical mode of CBU vehicle,using Hopf bifurcation theorem and central flow type theorem, qualitatively determined system exsistance and stability of limit cycles,using numerical methods to calculate the influence of dry friction torque size for system Hopf bifurcation characteristic.The consequence shows： increase the dry friction force of automotive suspension and steering system can obviousely reduce the vehicle shimmy negative,especially can reduce the front wheel shimmy amplitute of self-excited vibration of steering wheel,center manifold theory can be complex self-excited shimmy system on vehicle Hopf bifurcation characteristic of fast calculation and analysis.

关 键 词：HOPF分岔 自激摆振 中心流形理论极限环千摩擦 

分 类 号：U463.4[机械工程—车辆工程]