Fast sensitivity reanalysis methods assisted by Independent Coefficients and Indirect Factorization Updating strategies

In this study, the novel sensitivity reanalysis methods are suggested to obtain the static displacement sensitivity to local modifications efficiently. Details of displacement sensitivity formulations are deduced from the displacement reanalysis equations of Independent Coefficients (IC) and Indirect Factorization Updating (IFU) strategies. Moreover, the performances of the proposed sensitivity reanalysis methods are investigated to compare with Combined Approximation (CA) methods. Different numerical examples and efficient comparison are performed to confirm the accuracy and efficiency of the proposed methods. As a result, the proposed sensitivity reanalysis methods are proved to be more efficient with large scale problems and the accuracy of modified Degrees of Freedoms (DOFs) can be guaranteed as well.