Journal of Applied Mathematics
Volume 2013 (2013), Article ID 341063, 8 pages
http://dx.doi.org/10.1155/2013/341063
Research Article

Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method

Aytekin Eryılmaz,1 M. Tarık Atay,2 Safa B. Coşkun,3 and Musa Başbük1

1Department of Mathematics, Nevşehir University, 50300 Nevşehir, Turkey
2Department of Mathematics, Niğde University, 51100 Niğde, Turkey
3Department of Civil Engineering, Kocaeli University, 41380 Kocaeli, Turkey

Received 12 October 2012; Revised 10 December 2012; Accepted 10 December 2012

Academic Editor: Fazlollah Soleymani

Copyright © 2013 Aytekin Eryılmaz et al. 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.

Abstract

Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral equations, and difference equations. In this study, we presented the application of HAM to the critical buckling loads for Euler columns with five different support cases continuous elastic restraints. The results are compared with the analytic solutions.