| 用动力系统理论研究多自由度非线性振动问题 |
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| 引用本文： | 张琪昌,陈予恕.用动力系统理论研究多自由度非线性振动问题[J].振动工程学报,1991,4(4):11-17. |
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| 作者姓名： | 张琪昌 陈予恕 |
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| 作者单位： | 天津大学，天津大学 |
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| 基金项目： | 国家自然科学基金，博士点基金 |
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| 摘 要： | 运用中心流形定理和范式理论,本文推导出了一种计算n维动力系统Hopf分叉范式系数的简捷方法.这种方法还可用来求解多自由度非线性振动问题.用它求解比以往的各种近似方法简单、方便、易于掌握.现已将这种方法程序化,它可在IBM PC/XT,AT及其兼容机上使用.
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| 关 键 词： | 中心流形 Hopf分叉的范式 非线性振动 |
Study on Nonlinear Vibration Problems of Multi-Degree-Freedom System by Dynamic System Theory |
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| Zhang Qichang,Chen Yushu.Study on Nonlinear Vibration Problems of Multi-Degree-Freedom System by Dynamic System Theory[J].Journal of Vibration Engineering,1991,4(4):11-17. |
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| Authors: | Zhang Qichang Chen Yushu |
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| Affiliation: | Tianjin University |
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| Abstract: | A simple method of calculating the coefficients of Normal Form for Hopf bifurcation is reduced by the Centre Manifold Theorem and the Normal Form Theory. This Method can also be used to solve nonlinear vibration problems of multi-degree-freedom. It is more easy to learn and to use than any other approximate methods. The FORTRAN program has been made for this method, which can be used on an IBM PC/XT, AT as well as other compatible computers. |
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| Keywords: | Centre Manifold Normal Form for Hopf bifurcation nonlinear vibration |
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