1983
DOI: 10.1121/1.389724
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Acoustic high-frequency scattering by elastic cylindrical shells

Abstract: Acoustical scattering resulting from a high-frequency plane-wave incident upon an infinite aluminum circular cylindrical shell immersed in and filled with water is determined by applying the Sommerfeld-Watson transformation to the classical Rayleigh normal-mode series solution. The resulting contour integrals are computed by both the saddle point method and by summing residues over poles which correspond to the zeros of a 6 X 6 determinant resulting from satisfying the necessary boundary conditions. The Bessel… Show more

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Cited by 9 publications
(5 citation statements)
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“…Therefore, S" is a meromorphic function that can be alternatively expressed as e _ "2iS" _ <-.<*)/£" £| J _ C(r){£k___i£|L (21) where all the parameters appearing here have been defined above. Comparing Eqs (11)-(13), it follows that i"=ie n W e sm? "…”
Section: Re (Inmentioning
confidence: 99%
See 1 more Smart Citation
“…Therefore, S" is a meromorphic function that can be alternatively expressed as e _ "2iS" _ <-.<*)/£" £| J _ C(r){£k___i£|L (21) where all the parameters appearing here have been defined above. Comparing Eqs (11)-(13), it follows that i"=ie n W e sm? "…”
Section: Re (Inmentioning
confidence: 99%
“…Approximate, high-frequency methods for scattering from cylindrical/spherical shells have also been used over the years. Two of these important approaches are those associated with the names of Kirchhoff [13] and Watson-Sommerfeld [21,39,94,100]. The most important nonspherical/noncylindrical shell shape under study is the spheroidal [24,71].…”
mentioning
confidence: 99%
“…However, two additional real roots correspond to the shift from one Riemann sheet to another and do not seem to have any physical meaning. 13,14 Dickey et al 15 have investigated the transition in the scattering characteristics for a fluid-filled submerged cylindrical aluminum shell as a function of shell thickness. The cylindrical shell has been modeled by the theory of elasticity.…”
Section: Introductionmentioning
confidence: 99%
“…Рассмотрим эквивалентный (по толщине и материалу) плоский слой. В нем могут распространяться симметричные (5) и антисимметричные (А) нормальные (типа Лэмба) волны. Полное число симметричных Qs и антисимметричных Qa волн, возможных в плоском слое заданной толщины (2 d=a-b) на частоте to, равно [ lB ] т/г (2…”
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