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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