| 一类对称碰振系统的周期运动和分岔研究 |
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| 引用本文： | 张安兵,褚衍东,韩振辉,张文琦.一类对称碰振系统的周期运动和分岔研究[J].西南科技大学学报,2007,22(3):52-56. |
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| 作者姓名： | 张安兵 褚衍东 韩振辉 张文琦 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃兰州,730070 |
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| 摘 要： | 针对一类双自由度对称碰撞振动系统进行了理论分析和演算,利用在该系统不动点处的Jacobi矩阵的特征值得到了系统的周期性运动及混沌和分岔的存在条件。数值模拟表明,该方法能够得到令人满意的结果。
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| 关 键 词： | 碰振 周期运动 混沌 分岔 稳定性 |
| 文章编号： | 1671-8755（2007）03-0052-05 |
| 修稿时间： | 2007-04-26 |
Analysis on Bifurcations and Periodic Motion in Symmetrical Vibro-impact System |
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| ZHANG An-bing,CHU Yan-dong,HAN Zhen-hui,ZHANG Wen-qi.Analysis on Bifurcations and Periodic Motion in Symmetrical Vibro-impact System[J].Journal of Southwest University of Science and Technology,2007,22(3):52-56. |
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| Authors: | ZHANG An-bing CHU Yan-dong HAN Zhen-hui ZHANG Wen-qi |
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| Abstract: | A symmetrical two-degree-of-freedom vibro-impact system was studied based on theoretic analysis and calculation.The existence condition of periodic motion,chaos and bifurcations of the system was obtained through the eigenvalue of Jacobi matrix at the fixed point of the system.Numerical simulations show that the method can achieve satisfactory results. |
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| Keywords: | vibro-impact periodic motion chaos bifurcation stability |
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