A classical perturbation technique which is valid for large parameters

Journal of Sound and Vibration

Volumn 269, Issue 1-2, 2004, Pages 409-412

  Hu, H ^a  

^a XIANGTAN POLYTECHNIC UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FREQUENCIES; INTEGRATION; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; VIBRATIONS (MECHANICAL);

DUFFING EQUATION;

OSCILLATIONS;

EID: 0346991482     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00318-3     Document Type: Article

References (10)

1. R.E. MIckens, Oscillations in Planar Dynamic Systems, World Scientific, Singapore, 1996.
2. A.H. Nayfeh, D.T. Mook, Nonlinear Oscillations, Wiley, New York, 1979.
3. Y.K. Cheung, S.H. Chen, S.L. Lau, A modified Lindstedt-Poincare method for certain strongly non-linear oscillators, International Journal of Non-linear Mechanics 26 (1991) 367-378.
4. C.W. Lim, B.S. Wu, A modified Mickens procedure for certain non-linear oscillators, Journal of Sound and Vibration 257 (2002) 202-206; doi:10.1006/jsvi.2001.4233.
5. J.H. He, A new perturbation technique which is also valid for large parameters, Journal of Sound and Vibration 229 (2000) 1257-1263; doi:10.1006/jsvi.1999.2509.
6. P. Hagedorn, Non-linear Oscillations, Clarendon Press, Oxford, 1981 (see Section 1.1.1).
7. S.S. Rao, Mechanical Vibrations, 2nd Edition, Addison-Wesley, Reading 1990 (see Section 13. 4).
8. W.T. Thomson, Theory of Vibration with Applications, 2nd Edition, Prentice-Hall, Englewood Cliffs, NJ, 1981 (see Section 12. 6).
9. F.S. Tse, I.E. Morse, R.T. Hinkle, Mechanical Vibrations: Theory and Applications, 2nd Edition, Allyn and Bacon, Boston, 1978 (see Section 8-8).
10. A.H. Nayfeh, Introduction to Perturbation Techniques, Wiley, New York, 1981.