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独立悬架汽车转向系间隙与干摩擦对其Hopf分岔特性的影响 被引量:12

Influence of Independent Suspension Automotive Steering Clearance and Coulomb Friction on Hopf Bifurcation Characteristic
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摘要 车辆转向系的非线性振动对车辆的行驶稳定性与安全性产生巨大的危害,因此降低转向系的振动、分析系统参数对振动特性的影响成为车辆振动控制至关重要的一环。为分析问题的全面性与合理消除振动,综合考虑转向系间隙与干摩擦,轮胎所受侧向力三个非线性因素,建立独立悬架汽车转向系4自由度自激型等效非线性振动模型,对多自由度系统自激型振动的Hopf分岔形式做出了具体的理论分析并给予数值验证,详细讨论间隙与干摩擦两种非线性因素对临界车速与分岔后极限环幅值的影响,进行奇点稳定性与瞬态响应时间分析;通过数值仿真得到在不同非线性因素影响下车辆平衡点失稳的变化规律,其结果对减小转向系振动与其Hopf分岔控制具有一定的指导意义。 Huge danger to security and stability caused by nonlinear vibration of automotive steering occurs during vehicle running,so,it's very important to reduce the vibration and analyze the parameters acting on system.In order to analyze the issue in the round and eliminate vibration reasonably,four degrees of freedom equivalent nonlinear dynamic model of independent suspension automotive steering is established which includes some important nonlinear factors,e.g.clearance,coulomb friction of automotive steering and lateral force.Going with analyzing Hopf bifurcation of multi-DOF system self-excitation vibration concretely,influence of clearance and coulomb friction on critical speed of vehicle and limit cycle amplitude after Hopf bifurcation is discussed in detail and validated by numerical method.Another research is developed on stability of balanceable position and its stable time.The rule derived from the numerical simulation using different nonlinear conditions has instructive significance to avoiding vibration and controlling Hopf bifurcation behavior of automotive steering.
出处 《机械工程学报》 EI CAS CSCD 北大核心 2011年第2期130-135,共6页 Journal of Mechanical Engineering
基金 高等学校学科创新引智计划资助项目(B07018)
关键词 独立悬架汽车转向系 等效非线性振动模型 HOPF 分岔特性 干摩擦非线性 Independent suspension automotive steering Equivalent nonlinear vibration model Hopf bifurcation characteristic Coulomb friction nonlinearity
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