Adaptively Shifted Integration Technique for Nonlinear Finite Element Analysis of Large-Scale Framed Structures

Abstract


The relations between locations of numerical integration points in the linear and the cubic beam elements and those of the occurrence of plastic hinges were first found out by Toi, by considering the equivalence conditions between the strain energy approximations of the finite elements and the physical models (the rigid bodies-spring models) in which the locations of stress evaluations and plastic hinge formations are explicitly given. These relations were effectively used in the adaptively shifted integration technique (abbreviated to the ASI technique) for the plastic collapse analysis of framed structures. In the present study, the ASI technique with the cubic element is applied to the geometrically nonlinear, elasto-plastic analysis as well as the geometrically linear, plastic collapse analysis in order to reduce a computational cost for large-scale framed structures.