Bifurcation of piecewise-linear nonlinear vibration system of vehicle suspension

被引：15

作者：

Zhong, Shun ^{[1
,2
,3
]}

Chen, Yu-shu ^{[1
,2
,3
]}

机构：

[1] Tianjin Univ, Res Ctr Nonlinear Dynam, Tianjin 300072, Peoples R China

[2] Tianjin Univ, Key Lab Engines, Tianjin 300072, Peoples R China

[3] Tianjin Key Lab Nonlinear Dynam & Chaos Control, Tianjin 300072, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 06期

基金：

中国国家自然科学基金;

关键词：

vehicle suspension system; singularity theory; piecewise-linear nonlinear system; bifurcation;

D O I：

10.1007/s10483-009-0601-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：677 / 684

页数：8

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