An approximate method for solving Duffing equation
Publish place: 2nd International Conference on Acoustics and Vibration
Publish Year: 1391
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ISAV02_219
تاریخ نمایه سازی: 26 اسفند 1391
Abstract:
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
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Authors
Mohammad Reza Tabeshpour
Sharif University of Technology
Rahim Shoghi
MSc Graduate, Faculty of Civil Engineering, Tabriz University, Tabriz, Iran