汽车盘式制动器稳定性及非线性动力学分析  

Stability and nonlinear dynamics analysis of automotive disc brake

作　　者：刘富豪[1,2] 蒋汉军[3] 朱龙英[1] 

机构地区：[1]盐城工学院汽车工程学院,江苏盐城224051 [2]江苏安捷汽车配件有限公司,江苏盐城224002 [3]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《振动工程学报》2014年第6期907-914,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51305378);江苏省汽车工程重点实验室开放基金资助项目(QC201306)

摘　　要：针对汽车盘式制动器摩擦产生振动的问题,提出了考虑时变摩擦系数的制动盘和摩擦片耦合的两自由度简约模型。基于劳斯赫尔维茨标准,分析了制动器模型的稳定域和不稳定域,并辨识了参数取值范围和共振频率。采用具有物理意义的参数数值,阐述了模型中不同角度与极限环稳定性和幅值的关系。基于两个参数的分岔图,分析了制动器系统的非线性动力学特性,证明了该系统存在混沌现象。分析结果表明摩擦片的质量、刚度及制动盘的转速等因素对制动器系统稳定性影响较大,为合理设计制动器系统及控制其振动提供理论依据。For the problem of vibration in automotive disc brake induced by friction,a minimal two degree of freedom model wherein the brake pad and the brake disc are coupled with variable friction coefficient is presented.Based on Routh-Hurwitz criteria,stability and instability areas of the brake model are analyzed.The range of parameter values and coupled frequencies are identified.By using parameter values which have physical meaning,the relationship between the different angles,the stability and amplitude of limit cycle are illustrated.Based on the bifurcation diagram of two parameters,the rich dynamics phenomena and the existence of chaos in the brake system are explored.The results show that the mass,stiffness of the brake pad and the velocity of brake rotor have a significant effect on the stability of the brake system.The conclusions of this paper are to be significantly referred for the design and control the vibration of the brake system.

关 键 词：制动器振动 稳定性 非线性 混沌 

分 类 号：U463.51[机械工程—车辆工程]