title: On Critical Buckling Loads of Columns under End Load Dependent on Direction.
abstract: 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.
authors.affiliation: Department of Mathematics, Nevşehir Hacı Bektaş Veli University, 50300 Nevşehir, Turkey.
authors.forename: Musa
authors.initials: M
authors.lastname: Başbük
authors.affiliation: Department of Mathematics, Nevşehir Hacı Bektaş Veli University, 50300 Nevşehir, Turkey.
authors.forename: Aytekin
authors.initials: A
authors.lastname: Eryılmaz
authors.affiliation: Department of Mechanical Engineering, Abdullah Gül University, 38039 Kayseri, Turkey.
authors.forename: M Tarık
authors.initials: MT
authors.lastname: Atay