 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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