Finite Element Analysis of Buckling Collapse Behaviors of Framed Structures by Using Adaptively Shifted Integration Technique

Abstract

In this study, the previously proposed Adaptively Shifted Integration (ASI) technique is applied to the elasto-plastic buckling analysis of framed structures using the cubic beam element based on the Bernoulli-Euler hypothesis. The stiffness matrices with the positions of numerical integration points for the large deformation analysis are described. The minimum number of cubic beam elements needed in the buckling analysis using ASI technique is discussed by studying several cases under different patterns of combined loading. This paper is also concerned with a technique to subdivide each structural member automatically in the process of calculation into the most appropriate number of elements for the frame analysis. By using ASI technique with this automatic resubdivision, sufficiently accurate solutions can be obtained in a minimum calculation time. Elasto-plastic buckling problems of framed structures are analyzed by using this method, and the results are compared with those obtained by using the conventional method.