JOURNAL ARTICLE

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

Sayyid H. Hashemi KachapiD.D. GanjiA. G. DavodiSeyyed Mojtaba Varedi-Koulaei

Year: 2009 Journal:   Mathematical Methods in the Applied Sciences Vol: 32 (18)Pages: 2339-2349   Publisher: Wiley

Abstract

Abstract 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.

Keywords:
Mathematics Nonlinear system Variational method Vibration Applied mathematics Domain (mathematical analysis) Mathematical analysis Physics

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Citation History

Topics

Fractional Differential Equations Solutions
Physical Sciences →  Mathematics →  Modeling and Simulation
Composite Structure Analysis and Optimization
Physical Sciences →  Engineering →  Mechanics of Materials
Numerical methods in engineering
Physical Sciences →  Engineering →  Mechanics of Materials

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