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Publisher DOI: 10.3390/aerospace3020017
Title: On a non-symmetric eigenvalue problem governing interior structural-acoustic vibrations
Language: English
Authors: Voß, Heinrich 
Keywords: fluid–solid vibration; variational characterization; structure-preserving iterative projection methods; automated multi-level sub-structuring
Issue Date: 17-Jun-2016
Publisher: MDPI
Source: Aerospace 2 (3): 17- (2016-06-01)
Abstract (english): 
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.
DOI: 10.15480/882.1858
ISSN: 2226-4310
Journal: Aerospace 
Institute: Mathematik E-10 
Document Type: Article
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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