Published: 31 March 2012

On the approximate analytical solution for parametrically excited nonlinear oscillators

Iman Pakar1
Mahmoud Bayat2
Mahdi Bayat3
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Abstract

In this study we have analytically analyzed the vibration of parametrically excited oscillators based on Mathieu-Duffing equation. He’s Variational iteration method (VIM) is applied to obtain analytical solution, while Runge-Kutta method is used to obtain the numerical solution. It is demonstrated that VIM is very effective and convenient therefore may find wide applicability in engineering and other sciences. Finally, to confirm the validity of the applied method, the results of VIM are compared with those obtained by Runge-Kutta method. The results from VIM indicate an excellent agreement with the numerical solutions.

About this article

Received
22 December 2011
Accepted
14 February 2012
Published
31 March 2012
Keywords
Variational iteration method
Runge-Kutta method
parametrically excited oscillator