Periodic solutions of strongly quadratic non-linear oscillators by the elliptic Lindstedt-Poincaré method

Journal of Sound and Vibration

Volumn 227, Issue 5, 1999, Pages 1109-1118

  Chen, S H ^a   Yang, X M ^a   Cheung, Y K ^b  

^a SUN YAT SEN UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037808065     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2399     Document Type: Article

References (6)

1. P. G. D. BARKHAN and A. C. SOUDACK 1969 International Journal of Control 10, 337-392. An extension to the method of Kryloff and Bogoliuboff.
2. S. BRAVO YUSTE 1992 International Journal of Non-Linear Mechanics 27, 347-356, "Cubication" of non-linear oscillators using the principle of harmonic balance.
3. S. H. CHEN and Y. K. CHEUNG 1996 Journal of Sound and Vibration 192, 453-464. An elliptic perturbation method for certain strongly non-linear oscillators.
4. S. H. CHEN, X. M. YANG and Y. K. CHEUNG 1998 Journal of Sound and Vibration 212, 771-780. Periodic solution of strongly quadratic non-linear oscillators by the elliptic perturbation method.
5. S. H. CHEN and Y. K. CHEUNG 1997 Nonlinear Dynamics 12, 199-213. An elliptic Lindstedt-Poincaré method for analysis of certain stronlgy non-linear oscillators.
6. M. ABRAMOWITZ and I. A. STEGUN (editors) 1972 Handbook of Mathematical Functions. New York: Dover.