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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (6): 677-684.doi: https://doi.org/10.1007/s10483-009-0601-z

• Articles •    下一篇

Bifurcation of piecewise-linear nonlinear vibration system of vehicle suspension

钟顺1，2，3 陈予恕1，2，3   

  1. 1. Research Center for Nonlinear Dynamics, Tianjin University, Tianjin 300072, P. R. China;
    2. The Key Laboratory of Engines of Tianjin University, Tianjin 300072, P. R. China;
    3. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, P. R. China
  • 收稿日期:2008-10-23 修回日期:2009-03-23 出版日期:2009-06-01 发布日期:2009-06-01

Bifurcation of piecewise-linear nonlinear vibration system of vehicle suspension

Shun ZHONG1，2，3, Yu-Shu CHEN1，2，3   

  1. 1. Research Center for Nonlinear Dynamics, Tianjin University, Tianjin 300072, P. R. China;
    2. The Key Laboratory of Engines of Tianjin University, Tianjin 300072, P. R. China;
    3. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, P. R. China
  • Received:2008-10-23 Revised:2009-03-23 Online:2009-06-01 Published:2009-06-01

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摘要： A kinetic model of the piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. Bifurcation of the resonance solution to a suspension system with two degrees of freedom is investigated with the singularity theory. Transition sets of the system and 40 groups of bifurcation diagrams are obtained. The local bifurcation is found, and shows the overall characteristics of bifurcation. Based on the relationship between parameters and the topological bifurcation solutions, motion characteristics with different parameters are obtained. The results provides a theoretical basis for the optimal control of vehicle suspension system parameters.

Abstract: A kinetic model of the piecewise-linear nonlinear suspension system that consists of a dominant spring and an assistant spring is established. Bifurcation of the resonance solution to a suspension system with two degrees of freedom is investigated with the singularity theory. Transition sets of the system and 40 groups of bifurcation diagrams are obtained. The local bifurcation is found, and shows the overall characteristics of bifurcation. Based on the relationship between parameters and the topological bifurcation solutions, motion characteristics with different parameters are obtained. The results provides a theoretical basis for the optimal control of vehicle suspension system parameters.

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