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https://doi.org/10.15480/882.1858
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. |
URI: | http://tubdok.tub.tuhh.de/handle/11420/1861 | DOI: | 10.15480/882.1858 | ISSN: | 2226-4310 | Journal: | Aerospace | Institute: | Mathematik E-10 | Document Type: | Article | License: | ![]() |
Appears in Collections: | Publications with fulltext |
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