A New Static Reanalysis Method of Topological Modifications with Added Degrees of Freedom

A new method for structural static reanalysis of topological modifications with Added Degrees of Freedom is presented. The proposed procedure is easy to implement and suit for the case of modifications with the number of DOFs is increased. According to the analysis result of original system, the suitable preconditioner is selected and the response of modified structure is gained by Lanczos algorithm. Both the present method and the Lanczos algorithm without preconditioning are applied to numerical example, respectively. The Convergence of the two methods are compared. The computational cost is significantly reduced by the proposed method. The numerical results show the exactitude and effectiveness of the reanalysis algorithm.