Automated multi-level sub-structuring for fluid-solid interaction problems

Abstract

The Automated Multi-Level Sub-structuring (AMLS) method is a powerful technique to determine a large number of eigenpairs with moderate accuracy of huge symmetric and definite eigenvalue problems in structural analysis. This paper is concerned with an adapted version of AMLS for eigenfrequency analysis of fluid-solid interaction systems. Although fluid-solid vibrations are governed by an unsymmetric eigenproblem the modified AMLS method needs approximately the same computational effort. An error bound related to the eigenvalue approximations is proved.