| 单自由度碰撞振动系统的稳定性分析 |
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| 引用本文： | 吕小红,张淑华.单自由度碰撞振动系统的稳定性分析[J].兰州铁道学院学报,2006,25(6):101-104. |
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| 作者姓名： | 吕小红 张淑华 |
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| 作者单位： | 兰州交通大学,机电工程学院,甘肃,兰州,730070;河北承德石油高等专科学校,汽车工程系,河北,承德,067000 |
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| 摘 要： | 通过数值仿真研究了一类具有双侧刚性约束的单自由度碰撞振动系统对称周期运动经叉式分岔、倍化分岔、“擦边”奇异性向混沌转迁的全局分岔过程,及其在混沌区域的“磕碰”行为.对其分岔与混沌行为的研究为工业实际中含间隙机械系统和冲击振动系统的优化设计提供了理论依据.
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| 关 键 词： | 碰撞振动 分叉 混沌 奇异性 |
| 文章编号： | 1001-4373(2006)06-0101-04 |
| 收稿时间： | 2006-07-21 |
| 修稿时间： | 2006年7月21日 |
Stability Analysis of a One-degree-of-freedom Vibro-impact System |
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| Lu Xiaohong,Zhang Shuhua.Stability Analysis of a One-degree-of-freedom Vibro-impact System[J].Journal of Lanzhou Railway University,2006,25(6):101-104. |
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| Authors: | Lu Xiaohong Zhang Shuhua |
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| Institution: | 1. School of Mechatronie Engineering, Lanzhou Jiaotong University, Lanzhou 730070,China; 2. Department of Car Engineering,Chengde Petroleum College, Chengde 067000, China |
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| Abstract: | A one-degree-of-freedom vibro-impact system with a pair of rigid constraints is investigated by numerical simulations. The route from periodic impact motion to chaos, via pitchfork bifurcation, perioddoubling bifurcation and grazing boundary,and high-frequency oscillatins in chaotic regions is studied. It is possible to optimize system parameter of practical system by investigation of bifurcation and chaos. |
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| Keywords: | vibro-impact bifurcation chaos singularity |
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