Nonlinear Free Transverse Vibration Analysis of Beams Using Variational Iteration Method

Torabi, K.; Sharifi, D.; Ghassabi, M.; Mohebbi, A.

doi:10.22060/mej.2017.12332.5315

دانشگاه صنعتی امیرکبیر

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	Nonlinear Free Transverse Vibration Analysis of Beams Using Variational Iteration Method
AUT Journal of Mechanical Engineering
مقاله 9، دوره 2، شماره 2، اسفند 2018، صفحه 233-242 اصل مقاله (839.09 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22060/mej.2017.12332.5315
نویسندگان
K. Torabi^* ¹؛ D. Sharifi²؛ M. Ghassabi³؛ A. Mohebbi²
¹Department of Mechanical Engineering, Faculty of Engineering, University of Isfahan, Isfahan, Iran
²Department of Mechanical Engineering, University of Kashan, Kashan, Iran
³Department of Mechanical Engineering, Iran University of Science & Technology, Tehran, Iran
چکیده
In this study, Variational Iteration Method is employed so as to investigate the linear and non-linear transverse vibration of Euler-Bernoulli beams. This method is a very powerful approach with a high convergence speed providing an analytical and semi-analytical solution to the linear equations and is able to be extended to present semi-analytical solution to the non-linear ones. In this method, firstly, Lagrange`s multiplier and Initial Function should be chosen. The suitable choice of these two elements would effectively affect the convergence speed. In this attempt, in addition to presenting a discussion on how to choose these two functions appropriately, the calculated frequencies in the non-linear state are compared with the available results in the literature, and the accuracy and convergence speed are studied, as well.
کلیدواژه‌ها
Variational iteration method؛ Linear and nonlinear Transverse vibration؛ Euler-Bernoulli beam

مراجع
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Nonlinear Free Transverse Vibration Analysis of Beams Using Variational Iteration Method