A spline finite strip method for analysing local and distortional buckling of thinwalled beams under arbitrary loading
Abstract
As part of a research project concerning the interactive buckling of thinwalled beams, a spline finite strip program was developed to determine the buckling loads and modes of these structural elements under arbitrary loading. In this paper, the theory is briefly outlined and a typical example is presented. The influence of the number of strips in a cross section and the number of subdivisions along the length, on the local and distortional buckling loads of folded plate structures loaded in bending and/or shear was studied. The buckling load and mode of a simply supported Ibeam loaded by a concentrated force is determined with the spline finite strip method. The example indicates that the spline finite strip method is an efficient tool for analyzing the local and distortional buckling of flat plate assemblies loaded in bending and\or shear. The simplicity of the conventional finite strip method is preserved, while the problems of dealing with nonperiodic buckling modes, shear and nonsimple support are eliminated. Due to the high order of approximation, which is achieved with only four degrees of freedom per section of knot, the spline finite strip method displays considerable computing economy compared with the standard finite element methods.
 Publication:

Twelfth Canadian Congress of Applied Mechanics
 Pub Date:
 May 1989
 Bibcode:
 1989apme.proc..474V
 Keywords:

 Beams (Supports);
 Buckling;
 Failure Modes;
 Finite Element Method;
 Loads (Forces);
 Spline Functions;
 Structural Failure;
 Bending Moments;
 Computational Grids;
 Energy Methods;
 I Beams;
 Mathematical Models;
 Matrices (Mathematics);
 Shearing;
 Stress Distribution;
 Structural Mechanics