Non-linear normal modes of a continuous system

Journal of Sound and Vibration

Volumn 209, Issue 4, 1998, Pages 561-569

  Qaisi, M I ^a  

^a UNIVERSITY OF JORDAN   (Jordan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000812148     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1246     Document Type: Article

References (11)

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2. W. SZEMPLINSKA-STUPNICKA 1983 International Journal of Nonlinear Mechanics 18, 149-165. Nonlinear normal modes and the generalized Ritz method in the problems of vibrations of nonlinear elastic continuous systems.
3. A. H. NAYFEH 1973 Perturbation Methods. New York: John Wiley.
4. A. H. NAYFEH 1981 Introduction to Perturbation Techniques. New York: John Wiley.
5. J. CARR 1981 Application to Center Manifold Theory. New York: Springer-Verlag.
6. S. W. SHAW and C. PIERRE 1991 Journal of Sound and Vibration 150, 170-173. Nonlinear normal modes and invariant manifolds.
7. S. W. SHAW and C. PIERRE 1993 Journal of Sound and Vibration 164, 85-121. Normal modes for nonlinear vibratory systems.
8. S. W. SHAW and C. PIERRE 1994 Journal of Sound and Vibration 169, 319-347. Normal modes of vibration for nonlinear continuous systems.
9. A. H. NAYFEH and S. A. NAYFEH 1994 Transactions of the American Society of Mechanical Engineers, Journal of Vibration and Acoustics 116, 129-136. On nonlinear modes of continuous systems.
10. A. H. NAYFEH and S. A. NAYFEH 1995 Transactions of the American Society of Mechanical Engineers, Journal of Vibration and Acoustics 111, 199-205. Nonlinear normal modes of a continuous system with quadratic nonlinearities.
11. W. KAPLAN 1958 Ordinary Differential Equations. Reading, Massachusetts: Addison-Wesley.