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IssuesArchive of Issues2002-3pp.153-159

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Total articles in the database: 11223
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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
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