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On the vibration of plate partially protruding above the surface of liquid. / Filippenko, George V.; Kouzov, Daniil P.

In: Acta Acustica (Stuttgart), Vol. 89, No. SUPP., 01.05.2003, p. S99.

Research output: Contribution to journal › Article › peer-review

Harvard

Filippenko, GV & Kouzov, DP 2003, 'On the vibration of plate partially protruding above the surface of liquid', Acta Acustica (Stuttgart), vol. 89, no. SUPP., pp. S99.

APA

Filippenko, G. V., & Kouzov, D. P. (2003). On the vibration of plate partially protruding above the surface of liquid. Acta Acustica (Stuttgart), 89(SUPP.), S99.

Vancouver

Filippenko GV, Kouzov DP. On the vibration of plate partially protruding above the surface of liquid. Acta Acustica (Stuttgart). 2003 May 1;89(SUPP.):S99.

Author

Filippenko, George V. ; Kouzov, Daniil P. / On the vibration of plate partially protruding above the surface of liquid. In: Acta Acustica (Stuttgart). 2003 ; Vol. 89, No. SUPP. pp. S99.

BibTeX

@article{71d2bffb6361477ea9452c6e1c0d4bb8,
title = "On the vibration of plate partially protruding above the surface of liquid",
abstract = "We consider the two-dimensional problem of the free plate vibrations, affixed to the bottom of a water reservoir and partially protruding above the surface of the liquid. The bottom of the reservoir is assumed to be rigid and the surface of the liquid-free. The plate is rigidly fixed to the bottom and is free (or rigidly fixed, etc) on it's upper end. The exact analytical representation for the acoustical field in the liquid and for the displacements of the plate is obtained with account of their contact. In order to get this representation the full mathematical statement of this problem is given. It is considered to be a boundary-contact problem in a medium. On the basis of this solution we construct the dispersion equation for the eigen frequencies of the plate below the cutoff frequency of the wave guide. The influence of the liquid level on the eigen frequencies and on the eigen functions is analysed.",
author = "Filippenko, {George V.} and Kouzov, {Daniil P.}",
year = "2003",
month = may,
day = "1",
language = "English",
volume = "89",
pages = "S99",
journal = "Acustica",
issn = "1436-7947",
publisher = "S. Hirzel Verlag GmbH",
number = "SUPP.",

}

RIS

TY - JOUR

T1 - On the vibration of plate partially protruding above the surface of liquid

AU - Filippenko, George V.

AU - Kouzov, Daniil P.

PY - 2003/5/1

Y1 - 2003/5/1

N2 - We consider the two-dimensional problem of the free plate vibrations, affixed to the bottom of a water reservoir and partially protruding above the surface of the liquid. The bottom of the reservoir is assumed to be rigid and the surface of the liquid-free. The plate is rigidly fixed to the bottom and is free (or rigidly fixed, etc) on it's upper end. The exact analytical representation for the acoustical field in the liquid and for the displacements of the plate is obtained with account of their contact. In order to get this representation the full mathematical statement of this problem is given. It is considered to be a boundary-contact problem in a medium. On the basis of this solution we construct the dispersion equation for the eigen frequencies of the plate below the cutoff frequency of the wave guide. The influence of the liquid level on the eigen frequencies and on the eigen functions is analysed.

AB - We consider the two-dimensional problem of the free plate vibrations, affixed to the bottom of a water reservoir and partially protruding above the surface of the liquid. The bottom of the reservoir is assumed to be rigid and the surface of the liquid-free. The plate is rigidly fixed to the bottom and is free (or rigidly fixed, etc) on it's upper end. The exact analytical representation for the acoustical field in the liquid and for the displacements of the plate is obtained with account of their contact. In order to get this representation the full mathematical statement of this problem is given. It is considered to be a boundary-contact problem in a medium. On the basis of this solution we construct the dispersion equation for the eigen frequencies of the plate below the cutoff frequency of the wave guide. The influence of the liquid level on the eigen frequencies and on the eigen functions is analysed.

UR - http://www.scopus.com/inward/record.url?scp=0037804226&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037804226

VL - 89

SP - S99

JO - Acustica

JF - Acustica

SN - 1436-7947

IS - SUPP.

ER -

ID: 49998571