PENETRATION OF A SOUND FIELD THROUGH A MULTILAYERED SPHERICAL SHELL

G. Ch. Shushkevich; N. N. Kiselyova

PENETRATION OF A SOUND FIELD THROUGH A MULTILAYERED SPHERICAL SHELL

G. Ch. Shushkevich, N. N. Kiselyova

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Abstract

An analytical solution of the boundary problem describing the process of penetration of the
sound field of a spherical emitter located inside a thin unclosed spherical shell through a permeable multilayered spherical shell is considered. The influence of some parameters of the problem on the value of the sound field weakening (screening) coefficient is studied via a numerical simulation.

References

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

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

3. 6th National Conference ACOUSTICS 2012 [Electronic resource]. - Mode of access : http://conferences.ionio.gr/acoustics2012/en. - Date of access : 08.01.2013.

4. International Conference on Noise and Vibration Engineering [Electronic resource]. - Mode of access : http://www.isma-isaac.be. - Date of access : 09.01.2013.

5. Second International Conference of Acoustics and Vibration, ISAV2012, Engineering [Electronic resource]. - Mode of access : http://isav.ir/2012/index.php. - Date of access : 11.01.2013.

6. III Vseros. nauch.-prakt. konf. s mezhdunar. uchastiem «Zashchita naseleniya ot povyshennogo shumovogo vozdeistviya» [Elektronnyi resurs]. - Rezhim dostupa : http://onlinereg.ru noise2011. - Data dostupa : 11.01.2013.

7. Shebeko, G.A. Difraktsiya skalyarnoi sfericheskoi volny na neskol'kikh sharakh, raspolozhennykh v poluprostranstve / G.A. Shebeko // Vestnik BGU. Ser. 1. - 1970. - № 3. - S. 5-10.

8. Marnevskaya, L.A. Reshenie nekotorykh zadach difraktsii zvukovykh voln na sferakh i sfericheskikh priemnikakh : avtoref. dis. ... kand. fiz.-mat. nauk : 01.01.02 / L.A. Marnevskaya; Bel. gos. un-t. - Minsk, 1979. - 18 s.

9. Acoustic scattering by a pair of spheres / C.G. Gaunaurd [et al.] // J. Acous. Soc. Amer. - 1995. - Vol. 98. - P. 495-507.

10. Gabrielli, P. Acoustic scattering by two spheres: Multiple scattering and symmetry considerations / P. Gabrielli, M. Mercier-Finidori // J. of Sound and Vibration. - 2001. - Vol. 241. - P. 423-439.

11. Rumeliotis, Dzh.A. Rasseyanie zvukovykh voln na dvukh sfericheskikh telakh, odno iz kotorykh imeet malyi radius / Dzh. A. Rumeliotis, A.D. Kotsis // Akusticheskii zhurnal. - 2007. - T. 5, № 1. - S. 38-49.

12. Huang, L.N. Trapping and absorption of sound waves I a screened sphere / L.N. Huang // Wave Motion. - 1990. - Vol. 12, № 1. - P. 1-13.

13. Huang, L.N. Trapping and absorption of sound waves II a sphere covered with a porous layer / L.N. Huang // Wave Motion. - 1990. - Vol. 12, № 5. - P. 401-414.

14. Huang, H.H. Acoustic scattering of a plane wave by two spherical elastic shells / H.H. Huang, G.C. Gaunaurd // J. Acous Soc. Amer. - 1995. - Vol. 98. - P. 2149-2156.

15. Huang, H.H. Acoustic scattering of a plane wave by two spherical elastic shells above the coincidence frequency / H.H. Huang, G.C. Gaunaurd // J. Acous Soc. Amer. - 1997. - Vol. 101. - P. 2659-2668.

16. Larin, N.V. Rasseyanie zvuka neodnorodnym termouprugim sfericheskim sloem / N.V. Larin, L.A. Tolokonnikov // Prikladnaya matematika i mekhanika. - 2010. - T. 74, № 4. - S. 645-654.

17. Guozheng, Y. The Far Field Operator for a Multilayered Scatterer / Y. Guozheng, Z. Huijiang // J. Computers and Mathematics with Applications. - 2002. - Vol. 43. - P. 631-639.

18. Guozheng, Y. Inverse Scattering by a Multilayered Obstacle / Y. Guozheng // J. Computers and Mathematics with Applications. - 2004. - Vol. 48. - P. 1801-1810.

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

20. Vashishth, A. K. Ultrasonic wave’s interaction at fluid-porous piezoelectric layered interface / A. K. Vashishth, V. Gupta // J. Ultrasonics. - 2013. - Vol. 53. - P. 479-974.

21. Acoustic waves in solid and fluid layered materials / E.H. El Boudouti [et al.] // J. Surface Science Reports. - 2009. - Vol. 64. - P. 471-594.

22. Erofeenko, V.T. Modelirovanie dvukhstoronnikh granichnykh uslovii dlya akusticheskikh voln na uprugom ekrane / V.T. Erofeenko // Vestsi NAN Belarusi. - 2010. - № 4. - S. 76-84.

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

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

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

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

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

28. 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.

29. 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.

30. Kakhaner, D. Chislennye metody i programmnoe obespechenie / D. Kakhaner, K. Mouler, S. Nesh. - M. : Mir, 1998. - 576 s.

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

For citations:

Shushkevich G.Ch., Kiselyova N.N. PENETRATION OF A SOUND FIELD THROUGH A MULTILAYERED SPHERICAL SHELL. Informatics. 2013;(3):47-57. (In Russ.)

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ISSN 1816-0301 (Print)
ISSN 2617-6963 (Online)

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PENETRATION OF A SOUND FIELD THROUGH A MULTILAYERED SPHERICAL SHELL

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Informatics

PENETRATION OF A SOUND FIELD THROUGH A MULTILAYERED SPHERICAL SHELL

Full Text:

Abstract

About the Authors

References

Review

For citations:

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