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On a non-symmetric eigenvalue problem governing interior structural-acoustic vibrations
Citation Link: https://doi.org/10.15480/882.1858
Publikationstyp
Journal Article
Date Issued
2016-06-17
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
Journal
Volume
3
Issue
2
Start Page
Art.-Nr. 17
Citation
Aerospace 2 (3): 17- (2016-06-01)
Publisher DOI
Scopus ID
Publisher
MDPI
Small amplitude vibrations of a structure completely filled with a fluid are considered. Describing the structure by displacements and the fluid by its pressure field, the free vibrations are governed by a non-self-adjoint eigenvalue problem. This survey reports on a framework for taking advantage of the structure of the non-symmetric eigenvalue problem allowing for a variational characterization of its eigenvalues. Structure-preserving iterative projection methods of the the Arnoldi and of the Jacobi-Davidson type and an automated multi-level sub-structuring method are reviewed. The reliability and efficiency of the methods are demonstrated by a numerical example.
Subjects
fluid–solid vibration
variational characterization
structure-preserving iterative projection methods
automated multi-level sub-structuring
DDC Class
510: Mathematik
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