Geodesic
Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer
Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 286-295

Voir la notice de l'article provenant de la source Math-Net.Ru

The article considers the problem of diffraction of a spherical sound wave by an absolutely rigid cylinder with a coating in the form of a homogeneous isotropic elastic layer with an adjacent inhomogeneous liquid layer. It is assumed that a cylinder with a homogeneous coating is surrounded by a continuously inhomogeneous liquid layer with an arbitrary law of inhomogeneity. A point source of harmonic sound waves is placed in an ideal homogeneous liquid bordering an inhomogeneous layer. The acoustic pressure in a spherical wave is represented in an integral form as a decomposition in cylindrical wave functions. Wave processes in an elastic layer are described by a system of equations of the linear theory of elasticity of an isotropic body. To determine the wave field in an inhomogeneous liquid layer, a boundary value problem for an ordinary differential equation of the second order is constructed.
Keywords: spherical sound waves, elastic cylinder, inhomogeneous liquid layer. 
@article{CHEB_2024_25_2_a18,
     author = {D. Yu. Efimov},
     title = {Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {286--295},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a18/}
}
TY  - JOUR
AU  - D. Yu. Efimov
TI  - Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer
JO  - Čebyševskij sbornik
PY  - 2024
SP  - 286
EP  - 295
VL  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a18/
LA  - ru
ID  - CHEB_2024_25_2_a18
ER  - 
%0 Journal Article
%A D. Yu. Efimov
%T Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer
%J Čebyševskij sbornik
%D 2024
%P 286-295
%V 25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a18/
%G ru
%F CHEB_2024_25_2_a18
D. Yu. Efimov. Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer. Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 286-295. http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a18/