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

被引：2

作者：

Chen, YS ^{[1
]}

Ding, Q ^{[1
]}

机构：

[1] Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 02期

关键词：

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

D O I：

10.1023/A:1015576412107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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, ar 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：10

共 50 条

[1] C-L method and its application to engineering nonlinear dynamical problems
Chen Yu-shu
Ding Qian
Applied Mathematics and Mechanics, 2001, 22 (2) : 144 - 153
[2] C-L Method and Its Application to Engineering Nonlinear Dynamical Problems
Yu-shu Chen
Qian Ding
Applied Mathematics and Mechanics, 2001, 22 : 144 - 153
[3] C- METHOD AND ITS APPLICATION TO ENGINEERING NONLINEAR DYNAMICAL PROBLEMS
陈予恕
丁千
AppliedMathematicsandMechanics(EnglishEdition), 2001, (02) : 144 - 153
[4] C-L method and its application to subharmonic vibration of nonlinear rotor systems
Chen, YS
Ding, Q
INTEGRATING DYNAMICS, CONDITION MONITORING AND CONTROL FOR THE 21ST CENTURY - DYMAC 99, 1999, : 369 - 375
[5] Application of a new method of nonlinear dynamical system identification to biochemical problems
Karnaukhov, AV
Karnaukhova, EV
BIOCHEMISTRY-MOSCOW, 2003, 68 (03) : 253 - 259
[6] Application of a New Method of Nonlinear Dynamical System Identification to Biochemical Problems
A. V. Karnaukhov
E. V. Karnaukhova
Biochemistry (Moscow), 2003, 68 : 253 - 259
[7] Predictor homotopy analysis method and its application to some nonlinear problems
Abbasbandy, S.
Shivanian, E.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (06) : 2456 - 2468
[8] GENERALIZED RITZ METHOD AND ITS APPLICATION TO CERTAIN NONLINEAR SYSTEM PROBLEMS
SOUDACK, AC
IEEE TRANSACTIONS ON EDUCATION, 1966, 9 (01) : 26 - 28
[9] Perturbation method for modeling of nonlinear dynamical systems and robust sufficient conditions for its application
Krumov, Assen V.
EUROCON 2007: THE INTERNATIONAL CONFERENCE ON COMPUTER AS A TOOL, VOLS 1-6, 2007, : 76 - 82
[10] RECONSTRUCTION HARMONIC BALANCE METHOD AND ITS APPLICATION IN SOLVING COMPLEX NONLINEAR DYNAMICAL SYSTEMS
Dai H.
Wang Q.
Yan Z.
Yue X.
Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2024, 56 (01): : 212 - 224

← 1 2 3 4 5 →