ABSTRACT

In Chapters 1 through 10, we have described in detail the boundary element discretization process and, specifically, the formulation of the boundary element eigenvalue problem encountered in elastodynamics, and acoustic fluid-structure analyses. Extraction of the eigenvalues and mode shapes from these eigenvalue problems, often, is a computationally intensive process owing to the fact that most practical applications involve large matrices. Typical applications might be, finding the resonant frequencies and mode shapes of mechanical systems like building structures, machinery parts, acoustic enclosures such as a concert hall, or acoustic fluid-structure systems such as a submarine under water. Therefore, a computationally efficient eigenvalue extraction procedure is crucial to the success of the overall analysis approach using the boundary element method (BEM).