Phase gradient method applied to scattering by an elastic shell
Identifieur interne : 001D14 ( Main/Exploration ); précédent : 001D13; suivant : 001D15Phase gradient method applied to scattering by an elastic shell
Auteurs : J.-M. Conoir [France] ; J.-L. Izbicki [France] ; O. Lenoir [France]Source :
- Ultrasonics [ 0041-624X ] ; 1997.
Abstract
We studied the resonances of an elastic cylindrical shell immersed in a fluid and filled with air with a new method based on the phase derivative of the scattering matrix with regard to the frequency. This method, derived from the Resonant Scattering Theory, enabled us to calculate with a good accuracy the resonance frequencies independently of the choice of a background. In the case of rather thin resonance widths, the background need not be taken into account to calculate the resonance widths. We show that the phase derivative with regard to the frequency is directly related to those derivatives with regard to the velocities which characterize wave propagation in the elastic shell and the fluids. This property is of interest when analyzing the sensitivity of the resonances related to elastic parameters. The phase derivatives with regard to the velocity of the wave in the surrounding fluid and the density of the shell allow us to characterize the coupling between the shell and the surrounding fluid. These last two derivatives are used to calculate the width of the resonances independently of the background in the cases when the coupling is not too large, that is to say for surface waves of the internal type.
Url:
DOI: 10.1016/S0041-624X(96)00101-1
Affiliations:
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This method, derived from the Resonant Scattering Theory, enabled us to calculate with a good accuracy the resonance frequencies independently of the choice of a background. In the case of rather thin resonance widths, the background need not be taken into account to calculate the resonance widths. We show that the phase derivative with regard to the frequency is directly related to those derivatives with regard to the velocities which characterize wave propagation in the elastic shell and the fluids. This property is of interest when analyzing the sensitivity of the resonances related to elastic parameters. The phase derivatives with regard to the velocity of the wave in the surrounding fluid and the density of the shell allow us to characterize the coupling between the shell and the surrounding fluid. These last two derivatives are used to calculate the width of the resonances independently of the background in the cases when the coupling is not too large, that is to say for surface waves of the internal type.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Haute-Normandie</li><li>Région Normandie</li></region><settlement><li>Le Havre</li></settlement><orgName><li>Université du Havre</li></orgName></list><tree><country name="France"><region name="Région Normandie"><name sortKey="Conoir, J M" sort="Conoir, J M" uniqKey="Conoir J" first="J.-M." last="Conoir">J.-M. Conoir</name></region><name sortKey="Izbicki, J L" sort="Izbicki, J L" uniqKey="Izbicki J" first="J.-L." last="Izbicki">J.-L. Izbicki</name><name sortKey="Lenoir, O" sort="Lenoir, O" uniqKey="Lenoir O" first="O." last="Lenoir">O. Lenoir</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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