LeHavreV1, France, Analysis, bibRecord, 000E21

The radiation Q factors obtained from the partial derivatives of the phase of the reflection coefficient of an elastic plate.

Identifieur interne : 000E21 ( France/Analysis ); précédent : 000E20; suivant : 000E22

The radiation Q factors obtained from the partial derivatives of the phase of the reflection coefficient of an elastic plate.

Auteurs : O. Lenoir [France] ; J M Conoir ; J L Izbicki

Source :

The Journal of the Acoustical Society of America [ 0001-4966 ] ; 2003.

RBID : pubmed:12942949

Abstract

The phase gradient method is applied to study the partial derivatives of the phase of the reflection coefficient of a fluid-loaded elastic plate. We consider the derivatives with respect to the frequency f, the incidence angle theta, the phase velocities of the longitudinal and transverse waves propagating in the plate, cL and cT, respectively, and the phase velocity in the fluid cF. The partial derivatives with respect to f, cL, cT, cF are linked by a relation involving products of one of these variables with the corresponding partial derivative. At a resonance frequency, the product of frequency with the frequency phase derivative can be identified as a radiation quality factor. By analogy, the other products correspond to quality factors. It can be shown that the product assigned to the fluid phase velocity corresponds to an angular radiation quality factor. The products assigned to the longitudinal and transverse phase velocities are identified as longitudinal and transverse radiation quality factors. These quality factors are shown to be related to stored energies associated with either standing waves across the plate, guided waves, longitudinal waves or transverse waves. A reactive power balance between the plate and the fluid is also established.

PubMed: 12942949

Affiliations:

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pubmed:12942949

Le document en format XML

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<author><name sortKey="Lenoir, O" sort="Lenoir, O" uniqKey="Lenoir O" first="O" last="Lenoir">O. Lenoir</name>
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<front><div type="abstract" xml:lang="en">The phase gradient method is applied to study the partial derivatives of the phase of the reflection coefficient of a fluid-loaded elastic plate. We consider the derivatives with respect to the frequency f, the incidence angle theta, the phase velocities of the longitudinal and transverse waves propagating in the plate, cL and cT, respectively, and the phase velocity in the fluid cF. The partial derivatives with respect to f, cL, cT, cF are linked by a relation involving products of one of these variables with the corresponding partial derivative. At a resonance frequency, the product of frequency with the frequency phase derivative can be identified as a radiation quality factor. By analogy, the other products correspond to quality factors. It can be shown that the product assigned to the fluid phase velocity corresponds to an angular radiation quality factor. The products assigned to the longitudinal and transverse phase velocities are identified as longitudinal and transverse radiation quality factors. These quality factors are shown to be related to stored energies associated with either standing waves across the plate, guided waves, longitudinal waves or transverse waves. A reactive power balance between the plate and the fluid is also established.</div>
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The radiation Q factors obtained from the partial derivatives of the phase of the reflection coefficient of an elastic plate.

The radiation Q factors obtained from the partial derivatives of the phase of the reflection coefficient of an elastic plate.

Source :

Abstract

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