 | | 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 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| M. V. Vil'de, Yu. D. Kaplunov, and V. A. Kovalev, "On the approximation of plane layer type in the problem of acoustic wave scattering by a cylindrical shell," Mech. Solids. 37 (3), 153-159 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
3 |
Pages |
153-159 |
| Title |
On the approximation of plane layer type in the problem of acoustic wave scattering by a cylindrical shell |
| Author(s) |
M. V. Vil'de (Saratov)
Yu. D. Kaplunov (Moscow)
V. A. Kovalev (Moscow) |
| Abstract |
We consider the problem of stationary acoustic wave scattering by a thin
elastic circular cylindrical shell. An approximate solution for the
scattered pressure is obtained under that assumption that the strain wave
length is small relative to the radius of the shell. In this connection,
the motion of the shell is described by the equations of plane elasticity in
Cartesian coordinates, i.e., the shell is replaced by a plane layer. We
discuss the applicability area of the solution constructed and give
results of its comparison with the exact solution. |
| References |
| 1. | N. D. Veksler, Acoustic Spectrography [in Russian], Valgus, Tallinn, 1989. |
| 2. | J. D. Kaplunov, L. Yu. Kossovich, and E. V. Nolde,
Dynamics of Thin Walled Elastic Bodies, Academic Press, New York, 1998. |
| 3. | N. D. Veksler, "Dispersion curves for phase velocities of peripheral Lamb type waves
excited in a circular cylindrical shell by plane acoustic wave
scattering," Akust. Zh., Vol. 35, No. 6, pp. 1032-1035, 1989. |
| 4. | N. D. Veksler, "Phase velocities of Lamb and Stonely
type waves in the process of scattering of an acoustic wave by a hollow
elastic sphere," Akust. Zh., Vol. 37, No. 1, pp. 42-45, 1991. |
| 5. | Yu. D. Kaplunov and V. A. Kovalev,
"Approximate description of Rayleigh wave resonances in problems of
acoustic wave scattering by elastic cylinders and spheres," Izv. AN.
MTT [Mechanics of Solids], No. 4, pp. 180-186, 2000. |
| 6. | R. D. Doolittle and H. Überall, "Sound scattering by elastic
cylindrical shells," J. Acoust. Soc. America, Vol. 39, No. 2,
pp. 272-275, 1966. |
| 7. | 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. |
|
| Received |
09 April 2001 |
| << Previous article | Volume 37, Issue 3 / 2002 | Next article >> |
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