Geodesic
Scattering by an elastic cylinder with an inhomogeneous coating of sound waves
Matematičeskoe modelirovanie, Tome 36 (2024) no. 1, pp. 71-84.

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

The article is dedicated to the mathematical modeling of the acoustic field, which is scattered by the homogeneous isotropic cylinder with the radially inhomogeneous elastic coating. The primary perturbation field is a cylindrical harmonic sound wave emitted by a linear source. It is assumed that the source and scatterer axes are not parallel and do not lie in the same plane. The density and elastic moduli of the coating material are described by continuous functions of the radial coordinate. The results of calculations of the angular characteristics of the scattered acoustic field in the far zone for different positions of the linear source are presented.
Keywords: scattering, sound waves, elastic cylinder, inhomogeneous elastic coating. 
@article{MM_2024_36_1_a5,
     author = {L. A. Tolokonnikov and D. Yu. Efimov},
     title = {Scattering by an elastic cylinder with an inhomogeneous coating of sound waves},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {71--84},
     publisher = {mathdoc},
     volume = {36},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2024_36_1_a5/}
}
TY  - JOUR
AU  - L. A. Tolokonnikov
AU  - D. Yu. Efimov
TI  - Scattering by an elastic cylinder with an inhomogeneous coating of sound waves
JO  - Matematičeskoe modelirovanie
PY  - 2024
SP  - 71
EP  - 84
VL  - 36
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2024_36_1_a5/
LA  - ru
ID  - MM_2024_36_1_a5
ER  - 
%0 Journal Article
%A L. A. Tolokonnikov
%A D. Yu. Efimov
%T Scattering by an elastic cylinder with an inhomogeneous coating of sound waves
%J Matematičeskoe modelirovanie
%D 2024
%P 71-84
%V 36
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2024_36_1_a5/
%G ru
%F MM_2024_36_1_a5
L. A. Tolokonnikov; D. Yu. Efimov. Scattering by an elastic cylinder with an inhomogeneous coating of sound waves. Matematičeskoe modelirovanie, Tome 36 (2024) no. 1, pp. 71-84. http://geodesic.mathdoc.fr/item/MM_2024_36_1_a5/

[1] F. Honarvar, A. Sinclair, “Scattering of an obliquely incident plane wave from a circular clad rod”, J. Acoust. Soc. Amer., 102:1 (1997), 41–48 | DOI

[2] O. I. Kosarev, “Difraktsiia zvuka na uprugoi tsilindricheskoi obolochke s pokrytiem”, Problemy mashinostroeniia i nadezhnosti mashin, 46:1 (2012), 34–37

[3] V. P. Ivanov, “Analiz polia difraktsii na tsilindre s perforirovannym pokrytiem”, Akusticheskii zhurnal, 52:6 (2006), 791–798

[4] Yu. I. Bobrovnitskii, “Nerasseivaiushchee pokrytie dlia tsilindra”, Akusticheskiy zhurnal, 54:6 (2008), 879–889

[5] Yu. I. Bobrovnitskii, K. D. Morozov, T. M. Tomilina, “Periodicheskaia poverkhnostnaia struk-tura s extremalnymi akusticheskimi svoistvami”, Akusticheskii zhurnal, 56:2 (2010), 147–151

[6] A. G. Romanov, L. A. Tolokonnikov, “The scattering of acoustic waves by a cylinder with a non-uniform elastic coating”, J. of Applied Mathematics and Mechanics, 75:5 (2011), 595–600 | DOI | MR | Zbl

[7] L. A. Tolokonnikov, “Difraktsiia tsilindricheskikh zvukovykh voln na tsilindre s neodnorodnym pokrytiem”, Izvestiia TulGU. Estestvennye nauki, 2013, no. 3, 202–208

[8] L. A. Tolokonnikov, “Rasseianie naklonno padaiushchei ploskoi zvukovoi volny uprugim tsilindrom s neodnorodnym pokrytiem”, Izvestiia TulGU. Estestvennye nauki, 2013, no. 2-2, 265–274

[9] N. V. Larin, L. A. Tolokonnikov, “The scattering of a plane sound wave by an elastic cylinder with a discrete-layered covering”, Journal of Applied Mathematics and Mechanics, 79:2 (2015), 164–169 | DOI | MR | Zbl

[10] L. A. Tolokonnikov, “Difraktsiia sfericheskoi zvukovoi volny na uprugom tsilindre s neodnorodnym pokrytiem”, Chebyshevskii sbornik, 19:4 (2018), 215–226 | DOI | MR

[11] L. A. Tolokonnikov, D. Yu. Efimov, “Difraktsiia tsilindricheskikh zvukovykh voln na uprugom tsilindre s radialno-neodnorodnym uprugim pokrytiem”, Chebyshevskii sbornik, 22:1 (2021), 460–472 | DOI | MR | Zbl

[12] L. A. Tolokonnikov, N. V. Larin, S. A. Skobel'tsyn, “Modeling of inhomogeneous coating of an elastic cylinder with given sound-reflecting properties”, Journal of Applied Mechanics and Technical Physics, 58:4 (2017), 733–742 | DOI | MR | Zbl

[13] L. A. Tolokonnikov, “Rasseianie naklonno padaiushchei ploskoi zvukovoi volny uprugim tsilindrom s neodnorodnym pokrytiem, nahodiashchimsia vblizi ploskoi poverkhnosti”, Chebyshevskii sbornik, 21:4 (2020), 369–381 | DOI | MR | Zbl

[14] L. A. Tolokonnikov, D. Yu. Efimov, “Diffraction of sound waves at an elastic cylinder with an inhomogeneous coating in the vicinity of the boundary of an elastic half-space”, Mechanics of Solids, 56:8 (2021), 1657–1667 | DOI | DOI | MR | Zbl

[15] L. A. Tolokonnikov, N. V. Larin, “Scattering by a cylinder with an Inhomogeneous coating of Sound waves, emitted by a linear source in a plane waveguide”, Mathematical Models and Computer Simulations, 14:2 (2022), 250–260 | DOI | DOI | MR | Zbl

[16] S. V. Korsunskii, “Neosesimmetrichnaia zadacha difraktsii tsilindricheskikh zvukovykh voln na absolutno zheskom tsilindre”, Akusticheskii zhurnal, 34:3 (1988), 481–484

[17] E. L. Shenderov, Volnovye zadachi gidroakustiki, Sudostroenie, L., 1972, 352 pp.

[18] W. Nowacki, Teoriia sprezystosci, PWN, Warszawa, 1973 | MR

[19] L. B. Felsen, N. Marcuvitz, Radiation and scattering of waves, Prentice-Hall, Inc, Englewood Cliffs, 1973 | MR

[20] E. A. Ivanov, Difraktsiya elektromagnitnykh voln na dvukh telakh, Nauka i tekhnika, Minsk, 1968, 584 pp.

[21] IU. S. Zav?ialov, B. I. Kvasov, V. L. Miroshnichenko, Metody splain-funktsii, Nauka, M., 1980, 352 pp. | MR

[22] N. N. Kalitkin, Chislennye metody, Fizmatlit, M., 1978, 512 pp.