| 两自由度碰撞振动系统分叉参数的确定 |
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| 引用本文： | 谢建华,文桂林,肖建.两自由度碰撞振动系统分叉参数的确定[J].振动工程学报,2001,14(3):249-253. |
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| 作者姓名： | 谢建华 文桂林 肖建 |
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| 作者单位： | 1. 西南交通大学应用力学与工程系
2. 西南交通大学电气学院 |
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| 基金项目： | 国家自然科学基金资助项目(编号:10072051;19672052) |
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| 摘 要： | 本文分别研究了含多参数的四维映射系统的周期倍化分叉和Hopf分叉的参数临界值的代数判据.其理论结果可以应用于确定含多参数的两自由度碰撞振动系统的周期倍化分叉和Hopf分叉的分叉参数临界值.应用于一类含多参数的两自由度碰撞振动系统的Poincare映射分叉参数临界值的分析,获得该碰撞振动系统的周期倍化分叉和Hopf分叉条件,并用数值方法模拟了理论分析结果.
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| 关 键 词： | 非线性振动 分叉 代数判据 两自由度 碰撞振动 |
| 修稿时间： | 2000年6月27日 |
Criteria of Bifurcation Parameters of Vibro-Impact System with Two-Degree-of-Freedom |
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| Xie Jianhua,Wen Guilin.Criteria of Bifurcation Parameters of Vibro-Impact System with Two-Degree-of-Freedom[J].Journal of Vibration Engineering,2001,14(3):249-253. |
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| Authors: | Xie Jianhua Wen Guilin |
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| Abstract: | Two criteria for determining the critical parameter values of period doubling bifurcation or Hopf bifurcation of a general four dimension mapping system are presented in this paper. The theory obtained herein is applicable not only to period doubling bifurcation and Hopf bifurcation of multi parameter vibro impact systems with two degree of freedom, but also to those of the other dynamic systems which can be described as four dimension mapping systems. The effectiveness of the approach is demonstrated by applying it to a simulated multi parameter vibro impact system. |
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| Keywords: | nonlinear vibration bifurcation algebraic criterion two degree of freedom vibro impact |
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