碰摩转子中弯扭耦合作用的影响分析 |
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引用本文: | 孙政策,徐健学,周桐,谭宁.碰摩转子中弯扭耦合作用的影响分析[J].应用数学和力学,2003,24(11):1163-1169. |
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作者姓名: | 孙政策 徐健学 周桐 谭宁 |
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作者单位: | 1.西安交通大学, 机械结构强度与振动国家重点实验室, 西安, 710049; |
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基金项目: | 国家自然科学基金资助项目(19972051,重大19990510),中国及上海博士后科学基金资助项目 |
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摘 要: | 建立了一碰摩转子的弯扭耦合数学模型,应用非线性动力学现代理论和一未考虑弯扭耦合的数学模型的动态响应特征进行比较后发现,两类情况下系统都出现了周期、混沌和加周期等非线性动力学现象.虽然两类方程分岔图的变化过程基本相同,但扭转作用的具体影响却不容忽视.这些结果对以后分析转子碰摩现象有一定的参考价值.
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关 键 词: | 碰摩 弯扭耦合 混沌 周期加 |
文章编号: | 1000-0887(2003)11-1163-07 |
收稿时间: | 2002-01-25 |
修稿时间: | 2002年1月25日 |
Study on Influence of Bending-Torsion Coupling in an Impacting-rub Rotor System |
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Institution: | 1.Vibration, Xi'an Jiaotong University, Xi'an 710049, P. R. China;2.Department of Mechanics, Fudan University, Shanghai 200433, P. R. China |
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Abstract: | A mathematical model of an impacting-rub rotor system with bending-torsion coupling was established. It was compared with the model without bending-torsion coupling through the modern nonlinear dynamic theory. It is observed that periodical, chaotic, period adding phenomena in them and the two models have a similar bifurcation process in their bifurcation figures. But the influence of bending-torsion on the dynmaic characteristics of the system is not neglected. The results have considerable meanings to analyze and improve the characteristics of an impacting-rub rotor system. |
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Keywords: | impacting-rub bending-torsion coupling chaos period adding |
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