Abstract Based on the geometrically nonlinear theory of extensible elastic rods, the governing equations for post-buckling of variable cross-section cantilever beams subjected to a concentrated axial load at its free end and a non-uniformly distributed axial load are formulated. The Differential Quadrature Method (DQM) as a simple and computationally efficient numerical method is used to obtain the critical buckling load. The accuracy of the method is verified by comparing the results with those of the analytical result from the elliptical integral, and other methods such as shooting method or multiple scale method. The post buckling configuration of the beam is obtained for different loading conditions.
Post-buckling analysis of variable cross-section cantilever beams under combined load via differential quadrature method
KSCE Journal of Civil Engineering ; 14 , 2 ; 207-214
2010-03-01
8 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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