Nonlinear Analysis of Coupled Duffing Oscillators Based on Variable Step-Size Adomian Decomposition Method

Chen Chen; Ping Kang Li; Xian Deng Ping

doi:10.4028/www.scientific.net/AMM.668-669.1182

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 668-669Nonlinear Analysis of Coupled Duffing Oscillators...

Nonlinear Analysis of Coupled Duffing Oscillators Based on Variable Step-Size Adomian Decomposition Method

Abstract:

In this paper, variable step-size Adomian Decomposition Method (VADM) is proposed to obtain approximate analytical solution of coupled Duffing oscillators. Using VADM, analytical expressions for two-degree-of-freedom coupled Duffing equations are derived for different amplitude values of external periodic excitation. The system stability is analyzed by analyzing time-domain graph and phase portraits. Compared with the MATLAB@ ODE45, simulation results reveal that VADM is effectively and well suited for nonlinear dynamic system.

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Periodical:

Applied Mechanics and Materials (Volumes 668-669)

Pages:

1182-1185

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.668-669.1182

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Online since:

October 2014

Authors:

Chen Chen, Ping Kang Li, Xian Deng Ping

Keywords:

Approximate Analytical Solution, Coupled Duffing Oscillator, Nonlinear Differential Equations, Variable Step-Size Adomian Decomposition Method

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