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Asymptotic Description of the Peripheral Waves in Scattering of a Plane Acoustic Wave by a Spherical Shell

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Results of asymptotic analysis of the Lamb-type waves S0, A0 and the Stoneley-type wave A, generated by an incident plane acoustic wave in an elastic spherical shell are presented. For each partial mode the asymptotic estimates of the resonance frequency, amplitude and Q-factor are in a good agreement with the exact ones. It is shown that for an empty shell it is expedient to use the intermediate background. As such a background a liquid shell is used, which can be obtained from the elastic one with c t → 0 (here c t is the transverse velocity in the elasticity theory).

Zusammenfassung

Es werden Ergebnisse einer asymptotischen Untersuchung der Lamb-Wellen S0 und A 0 sowie der Stoneleywelle A, vorgestellt, die von einer einfallenden ebenen Schallwelle in einer elastischen Schale erzeugt werden. Für jede Partialmode stimmen die asymptotischen Schätzungen der Resonanzfrequenz, der Amplitude und der Güte gut mit den genauen Werten überein. Es wird gezeigt, daß es zweckmäßig ist, für eine leere Schale den “mittleren Hintergrundterm” zu verwenden. Hierfür wird eine flüssige Schale benutzt, welche aus der elastischen durch c t→ 0 erhalten wird (c t = Transversalwellengeschwindigkeit).

Sommaire

On présente les résultats d'une analyse asymptotique des ondes S0 et A0 du type de Lamb, et de l'onde A du type de Stoneley, créées par une onde acoustique plane incidente sur une coque sphérique élastique. Pour chaque partiel, les valeurs asymptotiques estimées de la fréquence de résonance, de l'amplitude et du facteur Q sont en bon accord avec les valeurs exactes. On montre que pour une coque vide, il est judicieux d'utiliser un fond intermédiate. En l'occurence on utilise une coque liquide, qui se déduit de la coque élastique en faisant tendre c t vers zéro (c t étant la vitesse transversale de la théorie de l'élasticité).
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Document Type: Research Article

Publication date: February 1, 1992

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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