Solution Algorithm of Large Scale Eigenvalue Analysis with Damping

Abstract

This paper presents a solution algorithm of nonlinear eigenvalue problem which occurs in an eigenvalue analysis of a structure with damping. The solution of nonlinear eigenvalue problems usually require operations of a complex matrix and complex vectors to generate Krylov subspace. The proposed algorithm is especially effective in terms of large scale analysis, because it does not use complex matrix nor complex vectors. Therefore, the number of operations and the size of memory used in the analysis is reduced. Furthermore, the accuracy of the solutions is confirmed to be satisfactory.