Frequencies of Near Regular Structures Using the Results of the Corresponding Regular Structures

Abstract

In this paper a method is presented for calculating the eigenvalues of perturbed matrices corresponding to their initial and unperturbed state. In other word, instead of solving the eigenvalue problem of perturbed matrix with size (n x n), only it is sufficient to solve eigenvalue problem for a matrix with dimension (m x m) where m is less than n and their difference (n – m) is considerable. By means of this method, eigenvalues and frequencies of near regular structures considering those of the corresponding regular structures are calculated.