The Extrapolation method for structural static reanalysis of topological modifications with added degrees of freedom

Abstract

A new method for structural static reanalysis of topological modifications with Added Degrees of Freedom (DOFs) is presented. The proposed procedure is easy to implement and suit for the case of modifications with the number of DOFs is increased. First, the newly added degrees of freedom are assumed to be linked to the original DOFs of the modified structure by means of the Guyan reduction so as to obtain the condensed equation. Second, the displacements of the original DOFs of the modified structure are solved using the Extrapolation method. And the displacements of the newly added DOFs resulting from topological modification can be recovered. In order to illustrate the application of the present method, the present method is applied to a numerical example. The numerical results show the exactitude and effectiveness of the presented reanalysis algorithm.