Volume 9 Issue 1
Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities
Y. M. Chen,G. Meng andJ. K. Liu
1State Key Laboratory of Mechanical System and Vibration Shanghai Jiao Tong University, Shanghai 200240, China
2Department of Mechanics, Sun Yat-sen University Guangzhou 510275, China
*Author to whom correspondence should be addressed.
Abstract
The variational iteration method is employed to solve conservative oscillator containing complicated nonlinearities. In order to expand the nonlinear terms into truncated Fourier series, an approach of undetermined coefficient is proposed. Numerical examples shows the feasibility and efficiency of the variational iteration method as well as the presented technique for Fourier series expansion.
Keywords: Variational iteration method; complicated nonlinearity; Fourier series expansion