Journal of Mechanical Science and Technology

, Volume 24, Issue 1, pp 331–336 | Cite as

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

Article

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.

Keywords

Differential quadrature (DQ) Non-linear geometry Post-buckling Heavy column Large deformation 

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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringIsfahan University of TechnologyIsfahanIran
  2. 2.Department of Mechanical EngineeringPersian Gulf UniversityBushehrIran

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