An effective method for eigen-problem solution of fluid-structure systems

Abstract

Efficient mode shape extraction of fluid-structure systems is of particular interest in engineering. An efficient modified version of unsymmetric Lanczos method is proposed in this paper. The original unsymmetric Lanczos method was applied to general form of unsymmetric matrices, while the proposed method is developed particularly for the fluid-structure matrices. The method provides us with significant capabilities of symmetric matrix storage scheme and application of real variables in calculations. The efficiency of the proposed method has been examined in mode shape extraction of several dam-water systems and is compared with pseudo subspace method which has identical capabilities. The results show significant time efficiency especially for problems with large dimensions