Table of Contents
International Scholarly Research Notices
Volume 2014, Article ID 531438, 6 pages
Research Article

On Critical Buckling Loads of Columns under End Load Dependent on Direction

1Department of Mathematics, Nevşehir Hacı Bektaş Veli University, 50300 Nevşehir, Turkey
2Department of Mechanical Engineering, Abdullah Gül University, 38039 Kayseri, Turkey

Received 30 April 2014; Revised 18 September 2014; Accepted 29 September 2014; Published 29 October 2014

Academic Editor: George Fikioris

Copyright © 2014 Musa Başbük 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.


Most of the phenomena of various fields of applied sciences are nonlinear problems. Recently, various types of analytical approximate solution techniques were introduced and successfully applied to the nonlinear differential equations. One of the aforementioned techniques is the Homotopy analysis method (HAM). In this study, we applied HAM to find critical buckling load of a column under end load dependent on direction. We obtained the critical buckling loads and compared them with the exact analytic solutions in the literature.