A MULTI STAGE FAILURE SIMULATION OF FRAMED STRUCTURE USING HPM

Abstract

In this paper, we developed a method using HPM to the multi stage failure simulation (MSFS) of framed structures. The algorithm of static elasto-plastic large displacement analysis by an implicit method was applied to the analysis until the structure forms mechanism. The failure mechanism was detected using the degree of indeterminacy, the degree of instability, the maximum displacement and the loaddisplacement relationship. The algorithm of dynamic motion analysis by a quasi implicit method was applied to post-collapse analysis because the mechanism is formed. The beam elements were computed by dynamic explicit method, and the pin elements without mass were corrected the position by a static implicit method. In the case of contact with the boundary, the algorithm of contact correction was applied not to cause penetration into the boundary surface like the augmented Lagrangian method. In MSFS method using HPM, discretization method with the same numerical model and the same rigid body degree of freedom before and after collapse can be applied consistently. Finally, we verified the characteristic features of this seamless analysis by HPM with simple numerical examples.