C-L方法及其在工程非线性动力学问题中的应用

陈予恕; 丁千

C-L方法及其在工程非线性动力学问题中的应用

陈予恕,
丁千

天津大学力学系,天津 300072

基金项目: 国家自然科学基金资助项目(重大19990510);国家重点基础研究专项经费资助项目(G1998010316)

详细信息

作者简介:
陈予恕(1931- ),男,山东肥城人,教授,博士导师,俄国应用科学院国外院士.

中图分类号: O322;O175
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- 文章访问数: 2416
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- 被引次数: 0
出版历程
- 收稿日期: 2000-04-25
- 修回日期: 2000-09-11
- 刊出日期: 2001-02-15

C-L Method and Its Application to Engineering Nonlinear Dynamical Problems

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

摘要

摘要: C-L方法可以揭示非线性振动系统的分岔特性,它结合对称性和奇异性理论并将Liapunov-Schmidt(简称LS)约化方法推广到非自治系统.作为应用实例,分析了非线性转子动力学低频振动分岔失稳问题的机理及其控制.
- C-L方法 /
- 非线性动力学 /
- 非线性振动 /
- 分岔和混沌
Abstract: The C-L method was generalized from Liapunov-Schmidt reduction method, combined with theory of singularities, for study of non-autonomous dynamical systems to obtain the typical bifurcating response curves in the system parameter spaces. This method has been used, as an example, to analyze the engineering nonlinear dynamical problems by obtaining the bifurcation programs and response curves which are useful in developing techniques of control to subharmonic instability of large rotating machinery.
- C-L method /
- nonlinear dynamics /
- nonlinear oscillations /
- bifurcation and chaos

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参考文献(22)

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