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Analysis of resonances related to Scholte-Stoneley waves around circular cylindrical shells

Identifieur interne : 001540 ( France/Analysis ); précédent : 001539; suivant : 001541

Analysis of resonances related to Scholte-Stoneley waves around circular cylindrical shells

Auteurs : Jean Louis Izbicki [France] ; Jean Louis Rousselot [France] ; Alain Gérard [France] ; Gérard Maze [France] ; Jean Ripoche [France]

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RBID : Hal:hal-00179203

English descriptors

Abstract

It is shown experimentally and theoretically that waves propagate around circular cylindrical shells with a phase velocity that is less than the phase velocity of sound in water. These waves are called Scholte-Stoneley waves. First this paper presents results on air-filled aluminium pipes of different ratios of the internal radius b to the external radius a. The frequency resonances and the orders n of the resonances increase with the b/a ratio. The frequency range of the observed resonances is fixed for a given pipe. This is related to the evolution of the resonance width with frequency. The frequency resonances and their width are calculated with the used of the resonance scattering theory. The so obtained results agree quite well with the experimentals ones. The Scholte-Stoneley wave, which propagates around the shell, is compared to the antisymmetric Lamb wave, which appears on a thin plate when the plate os imbedded in water. Second, the influence of the internal fluid on the Scholte-Stoneley resonances is studied. Three different liquids are used : water, chloroform, and glycerol. The experimental results agree once more with the theoretical ones.

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<div type="abstract" xml:lang="en">It is shown experimentally and theoretically that waves propagate around circular cylindrical shells with a phase velocity that is less than the phase velocity of sound in water. These waves are called Scholte-Stoneley waves. First this paper presents results on air-filled aluminium pipes of different ratios of the internal radius b to the external radius a. The frequency resonances and the orders n of the resonances increase with the b/a ratio. The frequency range of the observed resonances is fixed for a given pipe. This is related to the evolution of the resonance width with frequency. The frequency resonances and their width are calculated with the used of the resonance scattering theory. The so obtained results agree quite well with the experimentals ones. The Scholte-Stoneley wave, which propagates around the shell, is compared to the antisymmetric Lamb wave, which appears on a thin plate when the plate os imbedded in water. Second, the influence of the internal fluid on the Scholte-Stoneley resonances is studied. Three different liquids are used : water, chloroform, and glycerol. The experimental results agree once more with the theoretical ones.</div>
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