Periodic solution for strongly nonlinear vibration systems by He's variational iteration method

In this paper, we use variational iteration method for strongly nonlinear oscillators. This method is a combination of the traditional variational iteration and variational method. Some examples are given to illustrate the effectiveness and convenience of the method. The obtained results are valid f...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2009-12, Vol.32 (18), p.2339-2349
Hauptverfasser:	Kachapi, SHA. Hashemi, Ganji, D. D., Davodi, A. G., Varedi, S. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Calculus of variations and optimal control Exact sciences and technology Iterative methods Mathematical analysis Mathematics nonlinear oscillation Nonlinearity Oscillations Oscillators Sciences and techniques of general use variational iteration method Variational methods Vibration
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Zusammenfassung:	In this paper, we use variational iteration method for strongly nonlinear oscillators. This method is a combination of the traditional variational iteration and variational method. Some examples are given to illustrate the effectiveness and convenience of the method. The obtained results are valid for the whole solution domain with high accuracy. The method can be easily extended to other nonlinear oscillations and hence widely applicable in engineering and science. Copyright © 2009 John Wiley & Sons, Ltd.
ISSN:	0170-4214 1099-1476 1099-1476
DOI:	10.1002/mma.1135