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Reduction of the structure-acoustic problem using normal modes and lanczos vectors

Davidsson, Peter LU and Sandberg, Göran LU (2003) Proceedings of the Tenth International Congress on Sound and Vibration p.2203-2210
Abstract
The coupled structure-acoustic problem is studied using the finite element method. An efficient strategy for solving the coupled eigenvalue problem is proposed. The strategy uses a limited number of the uncoupled structural normal modes and acoustic fluid normal modes together with a set of interface-dependant Lanczos vectors for each domain to reduce the coupled problem. The Lanczos vectors are calculated by applying the vectors derived from the movement of the uncoupled modes of the interacting domain. For example, the pressure distribution of the fluid modes are used to generate the Lanczos vectors for the structural domain. This ends up in a very compact coupled eigenvalue problem to be solved. The method is investigated in a numerical... (More)
The coupled structure-acoustic problem is studied using the finite element method. An efficient strategy for solving the coupled eigenvalue problem is proposed. The strategy uses a limited number of the uncoupled structural normal modes and acoustic fluid normal modes together with a set of interface-dependant Lanczos vectors for each domain to reduce the coupled problem. The Lanczos vectors are calculated by applying the vectors derived from the movement of the uncoupled modes of the interacting domain. For example, the pressure distribution of the fluid modes are used to generate the Lanczos vectors for the structural domain. This ends up in a very compact coupled eigenvalue problem to be solved. The method is investigated in a numerical example. (Less)
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author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Structure-acoustic problem, Interacting domain, Modal reduction, Fluid domain
host publication
Proceedings of the 10th International Congress on Sound and Vibration
pages
8 pages
publisher
Institute of Acoustics
conference name
Proceedings of the Tenth International Congress on Sound and Vibration
conference location
Stockholm, Sweden
conference dates
2003-07-07 - 2003-07-10
external identifiers
  • scopus:2342423818
language
English
LU publication?
yes
id
4aaa80a6-eae6-4ce1-8ff9-2a2f306405ad (old id 612417)
date added to LUP
2016-04-04 11:20:32
date last changed
2022-02-21 04:33:34
@inproceedings{4aaa80a6-eae6-4ce1-8ff9-2a2f306405ad,
  abstract     = {{The coupled structure-acoustic problem is studied using the finite element method. An efficient strategy for solving the coupled eigenvalue problem is proposed. The strategy uses a limited number of the uncoupled structural normal modes and acoustic fluid normal modes together with a set of interface-dependant Lanczos vectors for each domain to reduce the coupled problem. The Lanczos vectors are calculated by applying the vectors derived from the movement of the uncoupled modes of the interacting domain. For example, the pressure distribution of the fluid modes are used to generate the Lanczos vectors for the structural domain. This ends up in a very compact coupled eigenvalue problem to be solved. The method is investigated in a numerical example.}},
  author       = {{Davidsson, Peter and Sandberg, Göran}},
  booktitle    = {{Proceedings of the 10th International Congress on Sound and Vibration}},
  keywords     = {{Structure-acoustic problem; Interacting domain; Modal reduction; Fluid domain}},
  language     = {{eng}},
  pages        = {{2203--2210}},
  publisher    = {{Institute of Acoustics}},
  title        = {{Reduction of the structure-acoustic problem using normal modes and lanczos vectors}},
  year         = {{2003}},
}