Volume 12, Issue 5 (1-2013)                   Modares Mechanical Engineering 2013, 12(5): 87-101 | Back to browse issues page

XML Persian Abstract Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Nonlinear Vibration Analysis of Functionally Graded Beam on Winkler-Pasternak Foundation under Mechanical and Thermal Loading Via Homotopy Analysis Method. Modares Mechanical Engineering 2013; 12 (5) :87-101
URL: http://mme.modares.ac.ir/article-15-11893-en.html
Abstract:   (8728 Views)
In this paper, the homotopy analysis method is used to nonlinear free vibration analysis of a mechanical and thermal loaded functionally graded beam on nonlinear elastic foundation. At first, the governing partial differential equation of the problem has been derived based on the Euler-Bernoulli theory and the Von-Karman strain-displacement relationship. Then, it was reduced to a nonlinear ordinary differential equation via the Galerkin method. The homotopy analysis method which has high accuracy was implemented in order to obtain a closed form solution and study the problem parametrically. The accuracy of the proposed method is verified by those available in literatures. The numerical results demonstrate that proposed method yields a very rapid convergence of the solution as well as low computational effort. Finally, the effects of different parameters such as amplitude, linear and nonlinear elastic foundation, thermal and mechanical loads and boundary conditions were investigated on the beam vibration and their results are presented for future work.
Full-Text [PDF 2462 kb]   (6425 Downloads)    
Article Type: Research Article | Subject: Solar Energy & Radiation
Received: 2012/01/16 | Accepted: 2012/08/3 | Published: 2012/11/18

Add your comments about this article : Your username or Email:

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.