Premium
Periodic solution for strongly nonlinear vibration systems by He's variational iteration method
Author(s) -
Kachapi SHA. Hashemi,
Ganji D. D.,
Davodi A. G.,
Varedi S. M.
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1135
Subject(s) - mathematics , nonlinear system , variational method , vibration , domain (mathematical analysis) , mathematical analysis , physics , quantum mechanics
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.