In this article, a new technique is introduced for establishing analytical approximate solutions to conservative oscillators with strong odd nonlinearity using the variational iteration method and the Fourier series. The illustrated examples show that only a few iterations can provide very accurate approximate solutions for the whole range of oscillation amplitude even for longer time ranges.
Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received December 11, 2011; final manuscript received April 12, 2012; published online July 23, 2012. Assoc. Editor: Eric A. Butcher.
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Khosrozadeh, A., A. Hajabasi, M., and R. Fahham, H. (July 23, 2012). "Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method." ASME. J. Comput. Nonlinear Dynam. January 2013; 8(1): 014502. https://doi.org/10.1115/1.4006789
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