Resumé
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.
| Originalsprog | Engelsk |
|---|---|
| Titel | Proceedings of the 19th International Congress on Acoustics |
| Redaktører | Antonio Calvo-Manzano, Antonio Pérez-López, Salvador Santiago |
| Antal sider | 6 |
| Forlag | Sociedad Española de Acústica |
| Publikationsdato | 2007 |
| ISBN (Elektronisk) | 84-87985-12-2 |
| Status | Udgivet - 2007 |
| Begivenhed | 19th International Congress on Acoustics - Madrid, Spanien Varighed: 2. sep. 2007 → 7. sep. 2007 Konferencens nummer: 19 |
Konference
| Konference | 19th International Congress on Acoustics |
|---|---|
| Nummer | 19 |
| Land | Spanien |
| By | Madrid |
| Periode | 02/09/2007 → 07/09/2007 |
Fingeraftryk
Citer dette
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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-proceeding › Konferencebidrag i proceedings › Forskning › peer review
TY - GEN
T1 - Inverse boundary element calculations based on structural modes
AU - Juhl, Peter Møller
PY - 2007
Y1 - 2007
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
A2 - Santiago, Salvador
PB - Sociedad Española de Acústica
ER -