Finite element analysis of buckling collapse behaviors of a large framed structure by using Adaptively Shifted Integration technique

Abstract


In the finite element analysis of framed structures, it is an important problem in the practice of the finite element calculations to know the relations between the locations of the numerical integration points and those of the points at which stresses are evaluated and plastic hinges are actually formed. Toi was the first to find out the relations between the locations of numerical integration points in the cubic beam element and those of the occurrence of plastic hinges, by considering the equivalence conditions between the strain energy approximations of the finite element and the physical models, the rigid-bodies-spring-models(RBSM), in which the locations of stress evaluations and plastic hinge formations are explicitly given. The new technique using the relations between the locations of numerical integration points and those of plastic hinges is proposed as 'Adaptively Shifted Integration (ASI) technique', and some numerical examples of a large frame structure analysis is shown in this paper.