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On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities. / Andronov, I. V.; Belinskiǐ, B. P.

в: Acoustical Physics, Том 47, № 1, 01.01.2001, стр. 3-9.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Andronov, IV & Belinskiǐ, BP 2001, 'On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities', Acoustical Physics, Том. 47, № 1, стр. 3-9. https://doi.org/10.1134/1.1340071

APA

Andronov, I. V., & Belinskiǐ, B. P. (2001). On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities. Acoustical Physics, 47(1), 3-9. https://doi.org/10.1134/1.1340071

Vancouver

Andronov IV, Belinskiǐ BP. On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities. Acoustical Physics. 2001 Янв. 1;47(1):3-9. https://doi.org/10.1134/1.1340071

Author

Andronov, I. V. ; Belinskiǐ, B. P. / On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities. в: Acoustical Physics. 2001 ; Том 47, № 1. стр. 3-9.

BibTeX

@article{dacb1803fda34774ba47da6308ede218,
title = "On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities",
abstract = "The question concerning the uniqueness of the solution to the problem of the acoustic diffraction by an immersed and isolated thin infinite plate with a finite scatterer is studied. It is shown that, to provide the uniqueness of the solution, the conditions at the scatterer must lead to an energy inequality for a source-free field, which determines the absence of the energy-carrying field components at infinity. A formula that generalizes the Sommerfeld formula is obtained and is used to prove the uniqueness of the solution to the problem of diffraction by a plate immersed in an acoustic medium. For the problem of diffraction of a flexural wave by an irregularity of the plate, the uniqueness theorem is proved only for the case of a fixed or hinged edge. When boundary conditions of a general form are imposed on the scatterer in an isolated plate, the uniqueness of the solution is generally lost, which is also corroborated by an example.",
author = "Andronov, {I. V.} and Belinskiǐ, {B. P.}",
year = "2001",
month = jan,
day = "1",
doi = "10.1134/1.1340071",
language = "English",
volume = "47",
pages = "3--9",
journal = "Acoustical Physics",
issn = "1063-7710",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities

AU - Andronov, I. V.

AU - Belinskiǐ, B. P.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - The question concerning the uniqueness of the solution to the problem of the acoustic diffraction by an immersed and isolated thin infinite plate with a finite scatterer is studied. It is shown that, to provide the uniqueness of the solution, the conditions at the scatterer must lead to an energy inequality for a source-free field, which determines the absence of the energy-carrying field components at infinity. A formula that generalizes the Sommerfeld formula is obtained and is used to prove the uniqueness of the solution to the problem of diffraction by a plate immersed in an acoustic medium. For the problem of diffraction of a flexural wave by an irregularity of the plate, the uniqueness theorem is proved only for the case of a fixed or hinged edge. When boundary conditions of a general form are imposed on the scatterer in an isolated plate, the uniqueness of the solution is generally lost, which is also corroborated by an example.

AB - The question concerning the uniqueness of the solution to the problem of the acoustic diffraction by an immersed and isolated thin infinite plate with a finite scatterer is studied. It is shown that, to provide the uniqueness of the solution, the conditions at the scatterer must lead to an energy inequality for a source-free field, which determines the absence of the energy-carrying field components at infinity. A formula that generalizes the Sommerfeld formula is obtained and is used to prove the uniqueness of the solution to the problem of diffraction by a plate immersed in an acoustic medium. For the problem of diffraction of a flexural wave by an irregularity of the plate, the uniqueness theorem is proved only for the case of a fixed or hinged edge. When boundary conditions of a general form are imposed on the scatterer in an isolated plate, the uniqueness of the solution is generally lost, which is also corroborated by an example.

UR - http://www.scopus.com/inward/record.url?scp=0035529736&partnerID=8YFLogxK

U2 - 10.1134/1.1340071

DO - 10.1134/1.1340071

M3 - Article

AN - SCOPUS:0035529736

VL - 47

SP - 3

EP - 9

JO - Acoustical Physics

JF - Acoustical Physics

SN - 1063-7710

IS - 1

ER -

ID: 39982566