| Differential quadrature application in post-buckling analysis of a hinged-fixed elastica under terminal forces and self-weight
O. Sepahi/M.R. Forouzan/P. Malekzadeh
The Journal of Mechanical Science and Technology, vol. 24, no. 1, pp.331-336, 2010
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.
Keyword : Differential quadrature (DQ); Non-linear geometry; Post-buckling; Heavy column; Large deformation |
