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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2024 Volume 25, Issue 3, Pages 408–418 (Mi cheb1470)

HISTORY OF MATHEMATICS AND APPLICATIONS

Scattering of a plane sound wave by a cylinder with an inhomogeneous elastic coating in a moving medium

L. A. Tolokonnikova, S. L. Tolokonnikovb

a Tula State University (Tula)
b Lomonosov Moscow State University (Moscow)

Abstract: In the article the problem of scattering of a plane monochromatic sound wave incident obliquely on a circular absolutely rigid cylinder covered by a radially inhomogeneous isotropic elastic layer is considered. The cylinder is located in a homogeneous ideal compressible fluid moving along forming of the cylinder with a constant subsonic speed.
The results of numerical calculations of directional patterns of a scattered acoustic field in the far zone for different laws of coating heterogeneity and values of the Mach number are presented.

Keywords: scattering, sound waves, cylinder, inhomogeneous elastic coating, moving ideal fluid.

UDC: 539.3:534.26

Received: 16.03.2024
Accepted: 04.09.2024

DOI: 10.22405/2226-8383-2024-25-3-408-418



© Steklov Math. Inst. of RAS, 2025