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An approximate method for solving Duffing equation

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Year: 2012
COI code: ISAV02_219
Paper Language: English

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Authors An approximate method for solving Duffing equation

  Mohammad Reza Tabeshpour - Sharif University of Technology
Rahim Shoghi - MSc Graduate, Faculty of Civil Engineering, Tabriz University, Tabriz, Iran


Solution of the Duffing equation in a non-linear vibration problem is studied in this paper. Clearly, in the case of perturb parameter being a larger value, the traditional perturbation method is no longervalid but also Homotopy perturbation method (HPM) is applicable usually. HPM is used to solveweak and strong nonlinear differential equations for finding perturbed frequency of response. Obtained frequencies via HPM and approximate method have good accordance for weak and strongnonlinear differential equation. Also, calculated responses by approximate method are compared withresponses obtained from Numerical method in time history of response and phase plane, results represent good accordance between those


Duffing; Nonlinear; Perturbation

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COI code: ISAV02_219

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Tabeshpour, Mohammad Reza & Rahim Shoghi, 2012, An approximate method for solving Duffing equation, 2nd International Conference on Acoustics and Vibration, تهران, دانشگاه صنعتي شريف, the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
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The University/Research Center Information:
Type: state university
Paper No.: 12892
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