A modified Lindstedt-Poincare method for a strongly non-linear two degree-of-freedom system

Journal of Sound and Vibration

Volumn 193, Issue 4, 1996, Pages 751-762

  Chen, S H ^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

BEAMS AND GIRDERS; DEGREES OF FREEDOM (MECHANICS); NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES;

CLAMPED HINGED BEAM; MODIFIED LINDSTEDT-POINCARE METHOD; PARAMETER TRANSFORMATION;

OSCILLATIONS;

EID: 0030168604     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0313     Document Type: Article

References (8)

1. T. D. BURTON 1982 International Journal for Non-linear Mechanics 17, 7-19. Non-linear oscillator limit cycle analysis using a time transformation approach.
2. T. D. BURTON 1984 International Journal for Non-linear Mechanics 19, 397-407. A perturbation method for certain non-linear oscillators.
3. T. D. BURTON and Z. RAHMAN 1986 International Journal for Non-linear Mechanics 21, 135-146. On the multi-scale analysis of strongly non-linear forced oscillators.
4. Y. K. CHEUNG, S. H. CHEN and S. L. LAU 1991 International Journal for Non-linear Mechanics 26, 367-378. A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators.
5. Y. K. CHEUNG, S. H. CHEN and S. L. LAU 1990 Journal of Sound and Vibration 140, 273-286. Application of incremental harmonic balance method to cubic nonlinearity systems.
6. G. VERONIS 1980 Quarterly of Applied Mathematics, 363-368. A note on the method of multiple scales.
7. S. L. LAU, Y. K. CHEUNG and SHUHUI CHEN 1989 ASME Journal of Applied Mechanics 56, 667-675. An alternative perturbation procedure of multiple scales for non-linear dynamics systems.
8. S. H. CHEN, Y. K. CHEUNG and S. L. LAU 1989 Journal of Sound and Vibration 128, 13-24. On the internal resonance of multi-degree-of-freedom systems with cubic non-linearity.