Analytical Study on Nonlinear Vibration of Carbon Nanotubes UsingNonlocal Timoshenko Beam Theory
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JKBEI-1-1_001
تاریخ نمایه سازی: 17 شهریور 1395
Abstract:
In this paper, variational iteration (VIM) and energy balance (EBM) methods have been used to investigate non-linear vibration of Timoshenko beam theory . The proposed methods do not require small parameter in the equation which is difficult to be found for nonlinear problems. Comparison of VIM and EBM with Runge-Kutta 4th leads to highly accurate solutions.
Keywords:
Variational Iteration Method (VIM) , Energy balance Method (EBM) , Galerkin method , non-linear vibration , Timoshenko beam theory
Authors
S.E Ghasemi
Department of Mechanical Engineering, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
s Gouran
Department of Mechanical Engineering, Babol University of Technology, Babol, Iran.
j Vahidi
Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran