Static reanalysis for topological modifications of structures

A procedure for reanalysis of various structures subjected to various topological modifications is presented. The procedure is based on the results of a single exact analysis and the factorization of the stiffness matrix of initial structures. It is suitable for the case of addition of joints, where the number of the degrees of freedom is increased. The method deals with the stiffness matrix of structures directly, so it can be used with a general finite element system. It is shown that the proposed approximation method is most effective in terms of accuracy, efficiency, and ease of implementation.