Determination of Periodic Solution for Tapered Beams with Modified Iteration Perturbation Method
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-1-1_006
تاریخ نمایه سازی: 9 خرداد 1396
Abstract:
In this paper, we implemented the Modified Iteration Perturbation Method (MIPM) for approximating the periodic behavior of a tapered beam. This problem is formulated as a nonlinear ordinary differential equation with linear and nonlinear terms. The solution is quickly convergent and does not need to complicated calculations. Comparing the results of the MIPM with the exact solution shows that this method is effective and convenient. Also, it is predicated that MIPM can be potentially used in the analysisof strongly nonlinear oscillation problems accurately
Keywords:
Periodic behavior , Tapered beam , Modified Iteration Perturbation Method (MIPM) , Nonlinear ordinary differential equation , Nonlinear oscillation
Authors
Mohammad Mehdi Mashinchi Joubari
Department of Mechanical Engineering, Babol University of Technology Shariati Street, Babol, 47148-71167, Iran,
Davood Domiri Ganji
Department of Mechanical Engineering, Babol University of Technology Shariati Street, Babol, 47148-71167, Iran,
Hamid Javanian Jouybari
Department of Mechanical Engineering, Semnan University University square, campus 1, Semnan, 35131-19111, Iran