非线性弹性杆的异常动态响应

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基金项目: 国家自然科学基金;山西省自然基金资助项目

Anomalous Dynamics Response of Nonlinear Elastic Bar

1.
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P R China;
2.
Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P R China

摘要: 讨论了拉伸速度呈周期变化的受拉非线性弹性直杆的动力行为。采用Melnikov方法研究时发现,材料的非线性使得动力响应发生异常,对确定的直杆而言,当拉伸速度超过某个临界值时,动力系统将出现次谐分岔和混沌。
- 次谐分岔 /
- 异宿轨道 /
- 混沌 /
- Melnikov函数
Abstract: The dynamics behavior of tension bar with periodic tension velocity was presented. Melinkov method was used to study the dynamic system.The results show that material nonlinear may result in anomalo us dynamics response.The subharmonic bifurcation and chaos may occur in the determined system when the tension velocity exceeds the critical value.
- subharmonic bifurcation /
- hetero clinic orbit /
- chaos /
- Melnikov function

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