C-METHOD AND ITS APPLICATION TO ENGINEERING NONLINEAR DYNAMICAL PROBLEMS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (2): 144-153.

C-METHOD AND ITS APPLICATION TO ENGINEERING NONLINEAR DYNAMICAL PROBLEMS

陈予恕, 丁千

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

收稿日期:2000-04-25 修回日期:2000-09-11 出版日期:2001-02-18 发布日期:2001-02-18
基金资助:
the National Natural Science Foundation of China(19990510);the National Key Basic Research Special Fund(G1998020316)

C-L METHOD AND ITS APPLICATION TO ENGINEERING NONLINEAR DYNAMICAL PROBLEMS

CHEN Yu-shu, DING Qian

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

Received:2000-04-25 Revised:2000-09-11 Online:2001-02-18 Published:2001-02-18
Supported by:
the National Natural Science Foundation of China(19990510);the National Key Basic Research Special Fund(G1998020316)

摘要/Abstract

摘要： 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.

关键词: C-L method, nonlinear dynamics, nonlinear oscillations, bifurcation and chaos

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.

Key words: C-L method, nonlinear dynamics, nonlinear oscillations, bifurcation and chaos

中图分类号:

O322
O175

陈予恕;丁千. C-METHOD AND ITS APPLICATION TO ENGINEERING NONLINEAR DYNAMICAL PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(2): 144-153.

CHEN Yu-shu;DING Qian . C-L METHOD AND ITS APPLICATION TO ENGINEERING NONLINEAR DYNAMICAL PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(2): 144-153.

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