| C-L方法及其在工程非线性动力学问题中的应用 |
| |
| 引用本文： | 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[J].应用数学和力学,2001,22(2):127-134. |
| |
| 作者姓名： | 陈予恕 丁千 |
| |
| 作者单位： | 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） |
| |
| 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.
|
| 关 键 词： | C-L方法 非线性动力学 非线性振动 分岔和混沌 |
| 文章编号： | 1000-0887(2001)02-0127-08 |
| 收稿时间： | 2000-04-25 |
| 修稿时间： | 2000年4月25日 |
C-L Method and Its
Application to Engineering Nonlinear Dynamical Problems |
| |
| CHEN Yu_shu,DING Qian.C-L Method and Its
Application to Engineering Nonlinear Dynamical Problems[J].Applied Mathematics and Mechanics,2001,22(2):127-134. |
| |
| Authors: | CHEN Yu_shu DING Qian |
| |
| Institution: | Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China |
| |
| 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. |
| |
| Keywords: | C_L method nonlinear dynamics nonlinear oscillations bifurcation and chaosH |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
