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Mathematics and Mechanics

Russian Academy of Sciences
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in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2011-5pp.595-600

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A.G. Romanov and L.A. Tolokonnikov, "The scattering of acoustic waves by a cylinder with a non-uniform elastic coating," J. Appl. Math. Mech. 75 (5), 595-600 (2011)
Year 2011 Volume 75 Issue 5 Pages 595-600
Title The scattering of acoustic waves by a cylinder with a non-uniform elastic coating
Author(s) A.G. Romanov (Tula, Russia)
L.A. Tolokonnikov (Tula, Russia, tolla@tula.net, tolsl@mail.ru)
Abstract The problem of the scattering of a plane acoustic wave by a solid cylinder with a radially non-uniform elastic coating is considered. An analytical expression describing the scattered acoustic field is obtained. The equations of motion of the non-uniform elastic cylindrical layer are reduced to a system of ordinary differential equations, the boundary-value problem for which is solved by the power-series method. The results of calculations of the directional pattern of the scattered field are presented.
Received 20 January 2011
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