Acoustic eigenanalysis for multiply-connected problems using dual BEM
Journal
Communications in Numerical Methods in Engineering
Journal Volume
20
Journal Issue
6
Pages
419-440
Date Issued
2004
Author(s)
Abstract
In this paper, the eigenanalysis for the multiply-connected domain problem is studied by using the dual boundary element method. The occurrence and treatment of the spurious eigenvalues for multiply-connected domain problem are reviewed when the complex-valued BEM in used. Three approaches, Burton and Miller method, CHIEF concept and SVD updating techniques, are adopted to suppress the occurrence of spurious eigensolutions. Instead of using the singular and hypersingular formulations, the singularity-free methods, the null-field equation approach and the fictitious BEM, are also utilized to deal with the eigenproblem. Both the eigenvalues and eigenmodes are compared with the analytical solutions and those of FEM for the illustrative examples. Good agreement is made. © 2004 John Wiley and Sons, Ltd.
Subjects
Boundary element method; CHIEF concept; Fredholm alternative theorem; Multiply-connected domain; Singular value decomposition
Other Subjects
Boundary element method; Computational methods; Finite element method; Mathematical models; Acoustic eignanalysis; Eigenmodes; Null-field equation; Eigenvalues and eigenfunctions; boundary element method; eigenvalue
Type
journal article