Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer
https://doi.org/10.22405/2226-8383-2024-25-2-286-295
Abstract
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.
About the Author
Dmitrii Yurevich Efimov
Tula State University
Russian Federation
Russian Federation
postgraduate student
References
1. Ivanov, V.P. 2006. “Analysis of the field diffracted by a cylinder with a perforated coating”,
2. Acoustical Physics vol. 52, no 6, pp. 683-690.
3. Bobrovnitskii, Yu. I. 2008. “A nonscattering coating for a cylinder”, Acoustical Physics, vol. 54,
4. no 6, pp. 758-768.
5. Bobrovnitskii, Yu. I., Morozov, K. D. & Tomilina, T. M. 2010. “A periodic surface structure with
6. extreme acoustic properties”, Acoustical Physics, vol. 56, no 2, pp. 127-131.
7. Kosarev, O. I. 2012. “Diffraction of sound by an elastic cylindrical shell with a coating”, Probl.
8. Mashinostr. Nadezh. Mashin, vol. 46, no 1, pp. 34-37, [in Russian].
9. Larin, N. V. & Tolokonnikov, L. A. 2015. “The scattering of a plane sound wave by an elastic
10. cylinder with a discrete-layered covering”, J. Appl. Math. Mech., vol. 79. no 2, pp. 164-169.
11. Romanov, A. G. & Tolokonnikov, L. A. 2011. “The scattering of acoustic waves by a cylinder
12. with a non-uniform elastic coating”, J. Appl. Math. Mech., vol. 75, no. 5, pp. 595-600.
13. Tolokonnikov, L. A. 2013. “Diffraction of cylindrical sound waves by an cylinder with a
14. nonuniform elastic coating” Izv. Tul. Gos. Univ., Ser. Estestv. Nauki, no. 3, pp. 202-208, [in
15. Russian].
16. Kleshchev A. A. 2004. “Diffraction of point-source-generated sound by an elastic cylindrical
17. shell”, Acoustical physics, vol. 50, no. 1, pp. 74-76.
18. Li T., Ueda M. 1980. “Sound scattering of spherical wave incident on a cylinder”, J. Acoust.
19. Soc. Amer., vol. 87, no. 5, pp. 1871-1879.
20. Tolokonnikov, L. A. 2018. “Diffraction of a spherical sound wave by an elastic cylinder with an non-uniform coating”, Chebyshevskii sbornik, vol. 19, no. 4, pp. 215–226, [in Russian].
21. Tolokonnikov, L. A. & Efimov D.Yu. 2022. “Diffraction of a spherical sound wave by an elastic cylinder with an non-uniform anisotropic coating”, Chebyshevskii sbornik, vol. 23, no. 4, pp. 368–381, [in Russian].
22. Shenderov, E. L. 1972. “Wave problems of underwater acoustics“, Sudostroenie, Leningrad, 352 p. [in Russian].
23. Brekhovskikh, L. M. 1973. “Waves in Layered Media”, Nauka, Moscow, 344 p., [in Russian].
24. Nowacki, W. 1973, “Teoria sprezystosci”, PWN, Warszawa.
25. Ivanov, E. A. 1968, “Diffraction of electromagnetic waves by two bodies”, Nauka i tekhnika,
26. Minsk, 584 p., [in Russian].
27. Kalitkin, N.N. 1978. “Numerical methods”, Fizmatgiz, Moscow, 512 p., [in Russian].
28. Zavyialov, Yu. S., Kvasov, B. I. & Miroshnichenko, V. L. 1980. “Spline function methods”, Nauka, Мoscow, 352 p., [in Russian].
29. Zakharova, E. M., Minashina, I. K. 2014. “Review of Multidimensional Optimization Techniques“, Informatsionnye Protsessy, vol. 14, no. 3, pp. 256-274, [in Russian].
30. Korobov, N. M. 2004. “Teoretiko-chislovye metody v priblizhennom analize [Number-theoretic methods in approximate analysis]”, 2nd ed., MTSNMO, Moscow, Russia.
31. Dobrovol‘skii, N. N., Skobel‘tsyn, S. A., Tolokonnikov, L. A., Larin, N. V. 2021. “About application of number-theoretic grids in problems of acoustics”, Chebyshevskii sbornik, vol. 22, no. 3, pp. 368-382, [in Russian].
Review
For citations:
Efimov D.Yu. Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer. Chebyshevskii Sbornik. 2024;25(2):286-295. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-2-286-295
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