分段线性非线性汽车悬架系统的分岔行为

天津大学机械学院非线性动力学研究中心,天津 300072;2.天津大学内燃机燃烧学国家重点实验室,天津 300072;3.天津市非线性动力学与混沌控制重点实验室,天津 300072

基金项目: 国家自然科学基金(重点)资助项目(10632040)

Bifurcation of Piecewise-Linear Nonlinear Vibration System of Vehicle Suspension

Research Center for Nonlinear Dynamics, Tianjin University, Tianjin 300072, P. R. China;

摘要: 建立了由主、副簧组成的分段线性非线性悬架系统动力学模型，应用奇异性理论研究了两个自由度汽车悬架系统共振解的分岔，得到系统的转迁集和40组分岔图，发现了非常复杂的局部分岔，分岔图全面展示了这一系统的分岔特性．由系统参数与该系统的拓扑分岔解之间的联系，分析并得到了不同参数下系统的运动特性，为实现悬架参数的优化控制提供了理论依据．
- 汽车悬架 /
- 奇异性理论 /
- 分段线性-非线性系统 /
- 分岔
Abstract: The kinetic model of piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring was established.The resonance solution's bifurcation of two-degree-of-freedom suspension system was investigated by means of singularity theory.The transition sets of the system and 40 groups of bifurcation diagrams were obtained.And the complicated local bifurcation was founded,which shows the bifurcation characteristic roundly.Furthermore,according to the relation between the parameters and the topological bifurcation solutions,the motion characteristic with different parameters was obtained.The results supply theoretical bases for optimal control of vehicle suspension system parameters.
- vehicle suspension system /
- singularity theory /
- piecewise-linear-nonlinear system /
- bifurcation

[1]	Priyandoko G, Mailah M, Jamaluddin H. Vehicle active suspension system using skyhook adaptive neuro active force control[J].Mechanical Systems and Signal Processing,2009,23(3): 855-868. doi: 10.1016/j.ymssp.2008.07.014
[2]	Fateh M M,Alavi S S. Impedance control of an active suspension system[J].Mechatronics,2009,19(1):134-140. doi: 10.1016/j.mechatronics.2008.05.005
[3]	Litak G, Borowiec M, Friswell M I,et al.Chaotic vibration of a quarter-car model excited by the road surface profile[J].Communications in Nonlinear Science and Numerical Simulattion,2008,13(7):1373-1383. doi: 10.1016/j.cnsns.2007.01.003
[4]	齐志鹏. 汽车悬架和转向系统的结构原理与检修[M]. 北京: 人民邮电出版社, 2002.
[5]	贾启芬，于雯，刘习军. 汽车悬架系统的分段非线性振动机理的研究[J].工程力学，2004，23（2）: 319-327.
[6]	陈予恕.非线性振动[M].北京：高等教育出版社，2002.
[7]	M.米奇克.汽车动力学[M].桑杰译.北京：机械工业出版社，1980.
[8]	CHEN Yu-shu, Audrew Y T Leung.Bifurcation and Chaos in Engineering[M]. London: Springer-Verlag,1998.
[9]	陈予恕.非线性振动系统的分岔和混沌理论[M].北京：高等教育出版社，1993.

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