Title |
A Study on The Nonlinear Elasto-Plastic Post Buckling Analysis of Spatial Structures |
Authors |
Han Sang-Eul ; Lee Kyoung-Su |
Keywords |
Spatial Structures ; Elasto-plastic ; Post Buckling ; Beam-column Element ; Arc-length Method |
Abstract |
In this study, a method for large deformation elastic-plastic analysis of space frame is presented. The method is based on large deformation formulation, which was developed initially for elastic systems, and is extended herein to include elasto-plastic effect. The method is based on an Eulerian formulation, which takes into consideration the effects of large joint translations and rotations. Local member force-deformation relationships are based on the beam-column approach, and the change in member chord lengths caused by axial strain and flexural bowing are taken into account. The effect of axial force of member on bending and torsional stiffness, and on plastic moment capacity, is included in the analysis. The material is assumed to be ideally elasto-plastic, and yielding is considered to be concentrated at member ends in the form of plastic hinges. The arc length approach is applied to trace the post-buckling range of elastic and elasto-plastic problems. Four numerical examples are presented which indicate that the method of analysis is highly accurate in predicting large deformation, buckling and post-buckling of elasto-plastic response of structures. |