Structural modal reanalysis methods using homotopy perturbation and projection techniques

This paper focuses on the modal reanalysis of structures subjected to multiple modifications of various origins, which can greatly affect the mode shapes of these structures. The proposed methods are based on the results of a modal analysis of the original structure and on several concepts, namely homotopy perturbation, projection techniques and Taylor series expansion. A reduced basis is generated using perturbed eigenvectors and the iterative Gram Schmidt normalisation algorithm. A finite element application highlights the advantages and disadvantages of each of the proposed methods in terms of precision and computational time.