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Mathematical Problems in Engineering
Volume 2013, Article ID 721294, 9 pages
Research Article

Free Vibration Analysis of an Euler Beam of Variable Width on the Winkler Foundation Using Homotopy Perturbation Method

Department of Civil Engineering, Kocaeli University, 41380 Kocaeli, Turkey

Received 24 February 2013; Accepted 30 March 2013

Academic Editor: Safa Bozkurt Coşkun

Copyright © 2013 Utkan Mutman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Homotopy Perturbation Method (HPM) is employed to investigate the vibration of an Euler beam resting on an elastic foundation. The beam is assumed to have variable stiffness along its length. HPM is an easy-to-use and very efficient technique for the solution of linear or nonlinear problems. HPM produces analytical approximate expression which is continuous in the solution domain. This work assures that HPM is a promising method for the vibration analysis of the variable stiffness Euler beams on elastic foundation. Different case problems have been solved by using the technique, and solutions have been compared with those available in the literature.