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汽车分段线性非线性悬架振动系统的分岔行为
BIFURCATION OF PIECEWISE-LINEAR NONLINEAR VIBRATION SYSTEM OF VEHICLE SUSPENSION
【Author】 Jia Qifen1 , Yu Wen1 , Liu Xijun1 ,Wang Chunmin2 (1 Department of Mechanics, Tianjin University, Tianjin 300072,Chine) B(2Tianjin Textile Working Staff University, Tianjin 300221,Chine)
【机构】 天津大学机械工程学院力学系;
【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,为实现悬架的优化控制提供了理论依据。
【Abstract】 The kinetic model of piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. The resonance solution bifurcation of two-degree -of-freedom suspension system is investigated by means of averaging theory. The transition set of the system and 40 groups of bifurcation diagrams are obtained. And the complicated local bifurcation is found, which lay out the bifurcation characteristic generally. Furthermore, according to the relation between the parameters and the topological bifurcation solutions of this system, the motion characteristic under the different parameters is obtained. The results supply theoretical bases for optimal control of vehicle suspension system.
【Key words】 Vehicle suspension system; Averaging theory; Piecewise-linear; Nonlinear; Bifurcation;
- 【会议录名称】 第七届全国非线性动力学学术会议和第九届全国非线性振动学术会议论文集
- 【会议名称】第七届全国非线性动力学学术会议和第九届全国非线性振动学术会议
- 【会议时间】2004-10
- 【会议地点】中国江苏南京
- 【分类号】U463.33
- 【主办单位】中国动力工程学会