| Duffing单边碰撞系统的颤振分岔 |
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| 引用本文： | 冯进钤,徐伟,牛玉俊.Duffing单边碰撞系统的颤振分岔[J].物理学报,2010,59(1):157-163. |
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| 作者姓名： | 冯进钤 徐伟 牛玉俊 |
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| 作者单位： | (1)西北工业大学理学院应用数学系，西安 710072; (2)西北工业大学理学院应用数学系，西安 710072；西安工程大学理学院，西安 170048 |
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| 基金项目： | 国家自然科学基金（批准号：10872165）资助的课题. |
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| 摘 要： | 针对碰撞系统中常见的颤振导致的彗尾碰撞问题,引入了彗尾映射的概念,提出了一种有效的研究碰撞系统中颤振现象的数值方法.并以典型的Duffing单边碰撞系统为例,研究了系统中的完全颤振和不完全颤振现象,同时分析了系统的颤振分岔.
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| 关 键 词： | Duffing碰撞系统 彗尾映射 颤振分岔 |
| 收稿时间： | 2009-04-15 |
| 修稿时间： | 5/7/2009 12:00:00 AM |
Chattering bifurcations in a Duffing unilateral vibro-impact system |
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| Feng Jin-Qian,Xu Wei,Niu Yu-Jun.Chattering bifurcations in a Duffing unilateral vibro-impact system[J].Acta Physica Sinica,2010,59(1):157-163. |
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| Authors: | Feng Jin-Qian Xu Wei Niu Yu-Jun |
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| Abstract: | A tail-mapping is introduced to deal with the tail impacts caused by the chattering,and based on which,an effective numerical method is suggested to simulate the chattering in the vibro-impact system. As an illustrative example,a Duffing unilateral vibro-impact system is investigated. The results show the evidence of complete and incomplete chattering. We also investigate two novel chattering bifurcations,including transitions from complete to incomplete chattering and incomplete chattering period to aperio... |
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| Keywords: | Duffing vibro-impact system tail mapping chattering bifurcation |
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