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

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

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 pe...

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Veröffentlicht in:Applied Mechanics and Materials 2014-10, Vol.668-669 (Mechanical Components and Control Engineering III), p.1182-1185
Hauptverfasser: Ping, Xian Deng, Chen, Chen, Li, Ping Kang
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Duffing oscillators
Dynamical systems
Mathematical analysis
Mathematical models
Matlab
Nonlinear dynamics
Systems stability
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Zusammenfassung: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.
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.668-669.1182