Computation of Eigensolution Derivatives for Nonviscously Damped Systems Using the Algebraic Method

摘要

A method has been outlined to compute simultaneously and accurately the derivatives of eigenvalues and their associated eigenvectors for the systems with nonviscous damping. The algebraic method used, which requires only the eigenvector of interest, gives exact eigensolution derivatives. Moreover, the proposed method is easy to implement because it is very compact. A numerical example has demonstrated the validity of the proposed approach.