| 一类冲击振动系统在强共振条件下的亚谐分叉与Hopf分叉 |
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| 引用本文： | 罗冠炜, 谢建华. 一类冲击振动系统在强共振条件下的亚谐分叉与Hopf分叉[J]. 爆炸与冲击, 2003, 23(1): 67-73. |
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| 作者姓名： | 罗冠炜 谢建华 |
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| 作者单位： | 1. 兰州铁道学院机械工程系,甘肃,兰州,730070
2. 西南交通大学应用力学与工程系,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金项目(10172042,10072051)，教育部博士点基金项目(20010613001) |
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| 摘 要： | 通过理论分析和数值仿真,研究了一类二维冲击振动系统在一种强共振条件下的Hopf分叉与亚谐分叉。分析并证实了该类系统在此共振条件下可由稳定的周期1 1振动分叉为周期4 4振动或概周期振动,讨论了亚谐振动和概周期振动向混沌运动的演化过程。
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| 关 键 词： | 振动与波 冲击振动 映射 强共振 Hopf分叉 亚谐分叉 混沌 |
| 文章编号： | 1001-1455(2003)01-0067-07 |
| 修稿时间： | 2001-09-18 |
Subharmonic and Hopf bifurcation of a vibra-impact system in a strong resonance case |
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| LUO Guan wei ,XIE Jian hua. Subharmonic and Hopf bifurcation of a vibra-impact system in a strong resonance case[J]. Explosion and Shock Waves, 2003, 23(1): 67-73 |
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| Authors: | LUO Guan wei XIE Jian hua |
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| Affiliation: | LUO Guan wei 1,XIE Jian hua 2 |
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| Abstract: | Hopf bifurcation and subharmonic bifurcation of a vi bro impact system, in a kind of strong resonance case, are investigated by theo retical analyses and numerical simulations. It is demonstrated that the system c an exhibit a stable 4 four period of impact motion or a quasi periodic impact motion bifurcating from a 1 single period of impact motion in the strong reso nance condition. Routes from subharmonic motion and quasi1 single periodic moti on to chaos are discussed. |
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| Keywords: | vibration and wave vibro impact map strong resonance Ho pf bifurcation subharmonic bifurcation chaos |
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