C-L method and its application to engineering nonlinear dynamical problems

被引：3

作者：

Chen Yu-shu

Ding Qian

机构：

[1] Tianjin University,Department of Mechanics

来源：

Applied Mathematics and Mechanics | 2001年 / 22卷 / 2期

关键词：

C-L method; nonlinear dynamics; nonlinear oscillations; bifurcation and chaos; O322; O175;

D O I：

10.1007/BF02437879

中图分类号：

学科分类号：

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.

引用

页码：144 / 153

页数：9

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