 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
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| V. A. Kovalev, "Application of a refined asymptotic model to the study of acoustic wave scattering by a spherical shell," Mech. Solids. 37 (2), 126-132 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
2 |
Pages |
126-132 |
| Title |
Application of a refined asymptotic model to the study of acoustic wave scattering by a spherical shell |
| Author(s) |
V. A. Kovalev (Moscow) |
| Abstract |
The problem of scattering of a stationary plane acoustic wave by
a thin spherical elastic shell is studied on the basis of a two-dimensional
asymptotic model refining the classical Kirchhoff-Love theory of shells.
In contrast to the latter, our model takes into account transverse reduction
of a shell and some other phenomena, and therefore, can be applied
for a much wider frequency range. This is confirmed by a numerical example
in which the exact solution is compared with solutions obtained on the basis of the
refined asymptotic model, the Kirchhoff-Love model, and the Timoshenko-Reissner
theory. |
| References |
| 1. | A. V. Belov, J. D. Kaplunov, and E. V. Nolde,
"A refined asymptotic model of fluid-structure interaction in scattering by
elastic shells," Flow, Turbulence and Combustion, Vol. 61, No. 1-4,
pp. 255-267, 1999. |
| 2. | J. D. Kaplunov, L. Yu. Kossovich, and E. V. Nolde,
Dynamics of Thin Walled Elastic Bodies,
Academic Press, New York, 1998. |
| 3. | J. D. Kaplunov, E. V. Nolde, and N. D. Veksler,
"Asymptotic description of the peripheral waves in scattering of a plane
acoustic wave by a spherical shell," Acustica, Vol. 76, No. 1, pp. 10-19,
1992. |
| 4. | J. D. Kaplunov, E. V. Nolde, and N. D. Veksler,
"Asymptotic formulae for the modal resonance of peripheral waves in the
scattering of an obliquely incident plane acoustic wave by a cylindrical
shell," Acustica, Vol. 80, No. 1, pp. 280-293, 1994. |
| 5. | N. D. Veksler, Acoustic Spectrography [in Russian], Valgus, Tallinn, 1989. |
| 6. | R. R. Goodman and R. Stern, Reflection and transmission of sound by
elastic spherical shell," J. Acoust. Soc. Amer., Vol. 34, No. 3,
pp. 338-344, 1962. |
| 7. | U. Nigul,
"Regions of effective application of the methods of three-dimensional
and two-dimensional analysis of transient stress waves in shells and
plates," Intern. J. Solids and Struct., Vol. 5, No. 6, pp. 607-627, 1969. |
|
| Received |
19 February 2001 |
| << Previous article | Volume 37, Issue 2 / 2002 | Next article >> |
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