SOUND FIELD SHIELDING BY FLAT ELASTIC LAYER AND THIN UNCLOSED SPHERICAL SHELL

G. Ch. Shushkevich; N. N. Kiselyova

SOUND FIELD SHIELDING BY FLAT ELASTIC LAYER AND THIN UNCLOSED SPHERICAL SHELL

G. Ch. Shushkevich, N. N. Kiselyova

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Abstract

An analytical solution of a boundary problem describing the process of penetration of a sound field of a spherical radiator located inside a thin unclosed spherical shell through a flat elastic layer is constructed. An influence of some parameters of the problem on the value of the attenuation coeffi-cient (screening) of the sound field was studied by using a numerical simulation.

References

1. Brekhovskikh, L.M. Volny v sloistykh sredakh / L.M. Brekhovskikh. - M. : Izd-vo AN SSSR, 1957. - 502 s.

2. Shear wave elasticity imaging: a new ultrasonic technology of medical diagnostic / A.P. Sarvazyan [et al.] // Ultrasonics Med. Biol. - 1998. - Vol. 24. - R. 1419-1435.

3. Ivanov, N.I. Inzhenernaya akustika. Teoriya i praktika bor'by s shumom / N.I. Ivanov. - M. : Logos, 2008. - 424 s.

4. Abrakitov, V.E. Mnogosloinaya ograzhdayushchaya panel' / V.E. Abrakitov, V.A. Russova [Elektronnyi resurs]. - Rezhim dostupa : http://abrakitov.narod.ru/Monograph/6-1.htm. - Data dostupa : 07.09.2013.

5. IV Vseros. nauch.-prakt. konf. s mezhdunarodnym uchastiem «Zashchita naseleniya ot po-vyshennogo shumovogo vozdeistviya» // [Elektronnyi resurs]. - Rezhim dostupa : http://onlinereg.ru/noise2013. - Data dostupa : 07.10.2013.

6. Poverkhnostnye volny v materialakh s funktsional'no-gradientnymi pokrytiyami / E.V. Glushkov [i dr.] // Akusticheskii zhurnal. - 2012. - № 3. - S. 370-385.

7. Fatyanov, A.G. High-performance modeling acoustic and elastic waves using the parallel Di-chotomy Algorithm / A.G. Fatyanov, A.V. Terekhov // Journal of Computational Physics. - 2011. - Vol. 230. - P. 699-715.

8. Investigation of Lamb elastic waves in anisotropic multilayered composites applying the Green’s matrix / A. Karmazin [et al.] // Ultrasonics. - 2011. - Vol. 51. - P. 17-28.

9. An analytical solution for wave-induced seabed response in a multi-layered poro-elastic sea-bed / X-L. Zhou [et al.] // Ocean Engineering. - 2011. - Vol. 38. - P. 119-129.

10. Andreev, V.R. Stoyachie sdvigovye volny v sloistykh rezinopodobnykh sredakh / V.R. Andreev, T.B. Krit, O.A. Sapozhnikov // Akusticheskii zhurnal. - 2010. - T. 56. - № 5. - S. 579-586.

11. Acoustic wave transmission through piezoelectric structured materials / M. Lam [et al.] // Ultrasonics. - 2009. - Vol. 49. - P. 424-431.

12. Ito, K. A domain decomposition solver for acoustic scattering by elastic objects in layered media / K. Ito, Z. Qiao, J. Toivanen // Journal of Computational Physics. - 2008. - Vol. 227. - P. 8685-8698.

13. Sadler, J. A ray technique to calculate reflected and transmitted waves in layered media / J. Sadler, R. Gr. Maev // ScienceDirect. - 2008. - Vol. 48. - P. 687-696.

14. Pokrovski, A.A. Lax-Phillips theory for sound waves scattering by thin infinite elastic planes / A.A. Pokrovski // Computers Math. Applic. - 1997. - Vol. 34. - P. 143-171.

15. Schmidt, H. Efficient numerical solution technique for wave propogation in horizontally stratifed environments / H. Schmidt, F.B. Jensen // Comp. and Maths. with Appls. - 1985. - Vol. 11. - P. 699-715.

16. Novatskii, V. Teoriya uprugosti / V. Novatskii. - M. : Mir, 1970. - 873 s.

17. Shendarev, E.L. Izluchenie i rasseyanie zvuka / E.L. Shendarev. - L. : Sudostroenie, 1989. - 304 s.

18. Erofeenko, V.T. Modelirovanie dvukhstoronnikh granichnykh uslovii dlya akusticheskikh voln na uprugom ekrane / V.T. Erofeenko // Vestsi NAN Belarusі. Ser. fiz.-mat. navuk. - 2010. - № 4. - S. 76-84.

19. Ivanov, E.A. Difraktsiya elektromagnitnykh voln na dvukh telakh / E.A. Ivanov. - Minsk : Nauka i tekhnika, 1968. - 584 s.

20. Spravochnik po spetsial'nym funktsiyam s formulami, grafikami i tablitsami / pod red. M. Abramovitsa, I. Stigan. - M. : Nauka, 1979. - 830 s.

21. Erofeenko, V.T. Teoremy slozheniya / V.T. Erofeenko. - Minsk : Nauka i tekhnika, 1989. - 240 s.

22. Shushkevich, G.Ch. Raschet elektrostaticheskikh polei metodom parnykh, troinykh uravne-nii s ispol'zovaniem teorem slozheniya / G.Ch. Shushkevich. - Grodno : GrGU, 1999. - 238 s.

23. Rezunenko, V.A. Difraktsiya ploskoi zvukovoi volny na sfere s krugovym otverstiem / V.A. Rezunenko // Visnik Kharkiv. nats. univer. im. V.N. Karazina. Ser. «Mat., prik. mat. i mekh.». - 2009.- № 850. - S. 71-77.

24. Shushkevich, G.Ch. Komp'yuternye tekhnologii v matematike. Sistema Mathcad 14. Ch. 1. / G.Ch. Shushkevich, S.V. Shushkevich. - Minsk : Izd-vo Grevtsova, 2010. - 287 s.

25. Petrov, Yu. Obespechenie dostovernosti i nadezhnosti komp'yuternykh raschetov / Yu. Petrov. - SPb. : BKhV - Peterburg, 2012. - 160 s.

26. Verzhbitskii, V.M. Osnovy chislennykh metodov / V.M. Verzhbitskii. - M. : Vysshaya shkola, 2002. - 848 s.

For citations:

Shushkevich G.Ch., Kiselyova N.N. SOUND FIELD SHIELDING BY FLAT ELASTIC LAYER AND THIN UNCLOSED SPHERICAL SHELL. Informatics. 2014;(2):36-48. (In Russ.)

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ISSN 2617-6963 (Online)

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SOUND FIELD SHIELDING BY FLAT ELASTIC LAYER AND THIN UNCLOSED SPHERICAL SHELL

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SOUND FIELD SHIELDING BY FLAT ELASTIC LAYER AND THIN UNCLOSED SPHERICAL SHELL

Full Text:

Abstract

About the Authors

References

Review

For citations:

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