Bifurcation of Piecewise-Linear Nonlinear Vibration System of Vehicle Suspension

ZHONG Shun; CHEN Yu-shu

doi:10.3879/j.issn.1000-0887.2009.06.001

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ZHONG Shun, CHEN Yu-shu. Bifurcation of Piecewise-Linear Nonlinear Vibration System of Vehicle Suspension[J]. Applied Mathematics and Mechanics, 2009, 30(6): 631-638. doi: 10.3879/j.issn.1000-0887.2009.06.001

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Bifurcation of Piecewise-Linear Nonlinear Vibration System of Vehicle Suspension

doi: 10.3879/j.issn.1000-0887.2009.06.001

ZHONG Shun^1,2,3,
CHEN Yu-shu^1,2,3

1.
Research Center for Nonlinear Dynamics, Tianjin University, Tianjin 300072, P. R. China;

Received Date: 2008-10-23
Rev Recd Date: 2009-05-07
Publish Date: 2009-06-15

Abstract

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

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References(9)

References

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