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2008-10-27
Approximate Analytical Solutions to Nonlinear Oscillations of Non-Natural Systems Using HE's Energy Balance Method
By
Progress In Electromagnetics Research M, Vol. 5, 43-54, 2008
Abstract
This paper applies He's Energy balance method (EBM) to study periodic solutions of strongly nonlinear systems such as nonlinear vibrations and oscillations. The method is applied to two nonlinear differential equations. Some examples are given to illustrate the effectiveness and convenience of the method. The results are compared with exact solutions which lead us showing a good accuracy. The method can be easily extended to other nonlinear systems and can therefore be found widely applicable in engineering and other science.
Citation
Davoodi Ganji, Salim Karimpour, and Seyedreza Ganji, "Approximate Analytical Solutions to Nonlinear Oscillations of Non-Natural Systems Using HE's Energy Balance Method," Progress In Electromagnetics Research M, Vol. 5, 43-54, 2008.
doi:10.2528/PIERM08081501
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