The MLP method for subharmonic and ultra-harmonic resonance solutions of strongly nonlinear systems

Authors
Tang, JS
Citation
Js. Tang, The MLP method for subharmonic and ultra-harmonic resonance solutions of strongly nonlinear systems, APP MATH ME, 21(10), 2000, pp. 1153-1160
Citations number
6
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
21
Issue
10
Year of publication
2000
Pages
1153 - 1160
Database
ISI
SICI code
0253-4827(200010)21:10<1153:TMMFSA>2.0.ZU;2-G
Abstract
A new parameter transformation alpha = alpha (epsilon, n omega (0)/m, omega (l)) was defir2ed for extending the applicable range of the modified Linds tedt-Poincare method. It is suitable for determining subharmonic and ultrah armonic resonance solutions of strongly nonlinear systems. The 1/3 subharmo nic and 3 ultraharmonic resonance solutions of the Duffing equation and the 1/2 subharmonic resonance solution of the Van der Pol-Mathieu equation wer e studied. These examples show approximate solutions are in good agreement with numerical solutions.