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

Authors
Chen, YS Ding, Q
Citation
Ys. Chen et Q. Ding, C-L method and its application to engineering nonlinear dynamical problems, APP MATH ME, 22(2), 2001, pp. 144-153
Citations number
22
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
22
Issue
2
Year of publication
2001
Pages
144 - 153
Database
ISI
SICI code
0253-4827(200102)22:2<144:CMAIAT>2.0.ZU;2-V
Abstract
The C-L method was generalized from Liapunov-Schmidt reduction method, comb ined with theory of singularities, for study of non-autonomous dynamical sy stems to obtain the typical bifurcating response curves in the system param eter spaces. This method has been used, ar an example, to analyze the engin eering nonlinear dynamical problems by obtaining the bifurcation programs a nd response curves which are useful in developing techniques of control to subharmonic instability of large rotating machinery.