Chaotic motion of a nonlinear thermoelastic elliptic plate

Citation
Qa. Han et al., Chaotic motion of a nonlinear thermoelastic elliptic plate, APP MATH ME, 20(9), 1999, pp. 960-966
Citations number
6
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
20
Issue
9
Year of publication
1999
Pages
960 - 966
Database
ISI
SICI code
0253-4827(199909)20:9<960:CMOANT>2.0.ZU;2-7
Abstract
In the paper the nonlinear dynamic equation of a harmonically forced ellipt ic plate is derived, with the effects of large deflection of plate and ther moelasticity taken into account. The Melnikov function method is used to gi ve the critical condition for chaotic motion. A demonstrative example is di scussed through the Poincare mapping, phase portrait and time history. Fina lly the path to chaotic motion is also discussed. Through the theoretical a nalysis and numerical computation some beneficial conclusions are obtained.