Inverse boundary element calculations based on structural modes

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

Resumé

The inverse problem of calculating the flexural velocity of a radiating structure of a general
shape from measurements in the field is often solved by combining a Boundary Element
Method with the Singular Value Decomposition and a regularization technique. In their standard
form these methods solve for the unknown normal velocities of the structure at the relatively
large number of nodes in the numerical model. Efficiently the regularization technique smoothes
the solution spatially, since a fast spatial variation is associated with high index singular values,
which is filtered out or damped in the regularization. Hence, the effective number of degrees of
freedom in the model is often much lower than the number of nodes in the model. The present
paper deals with an alternative formulation possible for the subset of radiation problems in
which a (structural) modal expansion is known for the structure. The inverse problem is
formulated in terms of modal amplitudes rather than of nodal velocities. The size of the inverse
problem and the built-in regularization can be controlled by choosing the number of modes
accounted for in the model.
OriginalsprogEngelsk
TitelProceedings of the 19th International Congress on Acoustics
RedaktørerAntonio Calvo-Manzano, Antonio Pérez-López, Salvador Santiago
Antal sider6
ForlagSociedad Española de Acústica
Publikationsdato2007
ISBN (Elektronisk)84-87985-12-2
StatusUdgivet - 2007
Begivenhed19th International Congress on Acoustics - Madrid, Spanien
Varighed: 2. sep. 20077. sep. 2007
Konferencens nummer: 19

Konference

Konference19th International Congress on Acoustics
Nummer19
LandSpanien
ByMadrid
Periode02/09/200707/09/2007

Fingeraftryk

set theory
decomposition
formulations
expansion
radiation

Citer dette

Juhl, P. M. (2007). Inverse boundary element calculations based on structural modes. I A. Calvo-Manzano, A. Pérez-López, & S. Santiago (red.), Proceedings of the 19th International Congress on Acoustics Sociedad Española de Acústica.
Juhl, Peter Møller. / Inverse boundary element calculations based on structural modes. Proceedings of the 19th International Congress on Acoustics. red. / Antonio Calvo-Manzano ; Antonio Pérez-López ; Salvador Santiago. Sociedad Española de Acústica, 2007.
@inproceedings{3b902f40e64111dc9a76000ea68e967b,
title = "Inverse boundary element calculations based on structural modes",
abstract = "The inverse problem of calculating the flexural velocity of a radiating structure of a generalshape from measurements in the field is often solved by combining a Boundary ElementMethod with the Singular Value Decomposition and a regularization technique. In their standardform these methods solve for the unknown normal velocities of the structure at the relativelylarge number of nodes in the numerical model. Efficiently the regularization technique smoothesthe solution spatially, since a fast spatial variation is associated with high index singular values,which is filtered out or damped in the regularization. Hence, the effective number of degrees offreedom in the model is often much lower than the number of nodes in the model. The presentpaper deals with an alternative formulation possible for the subset of radiation problems inwhich a (structural) modal expansion is known for the structure. The inverse problem isformulated in terms of modal amplitudes rather than of nodal velocities. The size of the inverseproblem and the built-in regularization can be controlled by choosing the number of modesaccounted for in the model.",
keywords = "Boundary Element, Inverse methods, Acoustics",
author = "Juhl, {Peter M{\o}ller}",
year = "2007",
language = "English",
editor = "Antonio Calvo-Manzano and Antonio P{\'e}rez-L{\'o}pez and Salvador Santiago",
booktitle = "Proceedings of the 19th International Congress on Acoustics",
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Juhl, PM 2007, Inverse boundary element calculations based on structural modes. i A Calvo-Manzano, A Pérez-López & S Santiago (red), Proceedings of the 19th International Congress on Acoustics. Sociedad Española de Acústica, 19th International Congress on Acoustics, Madrid, Spanien, 02/09/2007.

Inverse boundary element calculations based on structural modes. / Juhl, Peter Møller.

Proceedings of the 19th International Congress on Acoustics. red. / Antonio Calvo-Manzano; Antonio Pérez-López; Salvador Santiago. Sociedad Española de Acústica, 2007.

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

TY - GEN

T1 - Inverse boundary element calculations based on structural modes

AU - Juhl, Peter Møller

PY - 2007

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N2 - The inverse problem of calculating the flexural velocity of a radiating structure of a generalshape from measurements in the field is often solved by combining a Boundary ElementMethod with the Singular Value Decomposition and a regularization technique. In their standardform these methods solve for the unknown normal velocities of the structure at the relativelylarge number of nodes in the numerical model. Efficiently the regularization technique smoothesthe solution spatially, since a fast spatial variation is associated with high index singular values,which is filtered out or damped in the regularization. Hence, the effective number of degrees offreedom in the model is often much lower than the number of nodes in the model. The presentpaper deals with an alternative formulation possible for the subset of radiation problems inwhich a (structural) modal expansion is known for the structure. The inverse problem isformulated in terms of modal amplitudes rather than of nodal velocities. The size of the inverseproblem and the built-in regularization can be controlled by choosing the number of modesaccounted for in the model.

AB - The inverse problem of calculating the flexural velocity of a radiating structure of a generalshape from measurements in the field is often solved by combining a Boundary ElementMethod with the Singular Value Decomposition and a regularization technique. In their standardform these methods solve for the unknown normal velocities of the structure at the relativelylarge number of nodes in the numerical model. Efficiently the regularization technique smoothesthe solution spatially, since a fast spatial variation is associated with high index singular values,which is filtered out or damped in the regularization. Hence, the effective number of degrees offreedom in the model is often much lower than the number of nodes in the model. The presentpaper deals with an alternative formulation possible for the subset of radiation problems inwhich a (structural) modal expansion is known for the structure. The inverse problem isformulated in terms of modal amplitudes rather than of nodal velocities. The size of the inverseproblem and the built-in regularization can be controlled by choosing the number of modesaccounted for in the model.

KW - Boundary Element

KW - Inverse methods

KW - Acoustics

M3 - Article in proceedings

BT - Proceedings of the 19th International Congress on Acoustics

A2 - Calvo-Manzano, Antonio

A2 - Pérez-López, Antonio

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Juhl PM. Inverse boundary element calculations based on structural modes. I Calvo-Manzano A, Pérez-López A, Santiago S, red., Proceedings of the 19th International Congress on Acoustics. Sociedad Española de Acústica. 2007