, Volume 24, Issue 1, pp 331-336
Date: 02 Mar 2010

Differential quadrature application in post-buckling analysis of a hinged-fixed elastica under terminal forces and self-weight

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Abstract

Based on geometrically non-linear theory for extensible elastic rods, governing equations of statically post-buckling of a beam with one end hinged and the other fixed, and subjected to a terminal force and a self-weight, are established. The formulation is derived from geometrical compatibility, equilibrium of forces and moments, and constitutive relations, which characterize a complex two-point boundary value problem. By using differential quadrature method (DQM), the non-linear governing equations are solved numerically and the post-buckled configurations of the deformed column are presented. Results are plotted in non-dimensional graphs for a range of density and terminal force, and are in good agreement with available references.

This paper was recommended for publication in revised form by Associate Editor Maenghyo Cho
Parviz Malekzadeh received his B. S. (1992), M.S. (1995) and Ph.D. (2001) degrees in Mechanical Engineering from Shiraz University, Iran. Since then, he worked as an associated Professor in the department of mechanical engineering at Persian Gulf University (Bushehr, Iran). He is the author or the co-author of more than sixty papers published in the international journals (indexed in ISI). His field of interest is the application of computational mechanics in solid mechanics.
Omid Sepahi received his M.S. degree in Mechanical Engineering from Isfahan University of Technology (IUT), Iran, in 2002. In the following three years, he worked as a lecturer in a university. He is now a PhD student in IUT, working on nonlinear bending and post-buckling of FGM plate via differential quadrature method. Sepahi’s research interests are in computational solid mechanics, especially in nonlinear analysis.