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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2010-5pp.617-626

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D.P. Kouzov and G.V. Filippenko, "Vibrations of an elastic plate partially immersed in a liquid," J. Appl. Math. Mech. 74 (5), 617-626 (2010)
Year 2010 Volume 74 Issue 5 Pages 617-626
Title Vibrations of an elastic plate partially immersed in a liquid
Author(s) D.P. Kouzov (St Petersburg, Russia)
G.V. Filippenko (St Petersburg, Russia, george@gf4663.spb.edu)
Abstract The free vibrations of an elastic plate, placed orthogonally at the bottom of an unbounded open reservoir of constant depth, are considered. The reservoir is filled with a compressible liquid, the plate protrudes above the free surface and its rigidly fastened to the bottom. Gravitational effects are ignored. An analytical representation of the acoustic field in the liquid and the vibrational field in the plate is obtained. The natural frequencies and natural forms of vibration are calculated as a function of the height of the liquid level. An approximate approach to calculating the vibrations of the plate is considered.
Received 18 December 2008
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