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Duffing单边碰撞系统的颤振分岔
Chattering bifurcations in a Duffing unilateral vibro-impact system
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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
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 restdts 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 aperiodic motion. -
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