Application of the Degenerated Timoshenko Beam Element Using the Adaptively Shifted Integration Technique to Elastic-Plastic Analyses Considering Large Displacements/Rotations

摘要

Appropriate positions of plastic hinges can be evaluated by using the adaptively shifted integration (ASI) technique in the elastic-plastic analyses of framed structures. In this paper, the ASI technique is applied to the degenerated Timoshenko beam element developed by Dvorkin et al., which is considering the effect of large rotations/displacements. By slightly modifying the shape functions of the Dvorkin's element, the effect of large rotations can be precisely taken into account even when the ASI technique is used. Therefore, precise rigid body rotation about a plastic hinge can be represented by the proposed element. Stresses at the hinge are also evaluated appropriately.