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Vibration of a flexible plate in contact with the free surface of a heavy liquid

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Abstract

Free vibration of a flexible plate floating on the free surface of a perfect incompressible finite-depth heavy liquid are studied. The problem is solved in the shallow water approximation. Conditions for the existence of discrete frequencies below the waveguide cutoff frequency and associated localized (nonpropagating) liquid vibration modes in the plate-liquid system are determined.

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Authors and Affiliations

  1. Institute of Problems in Machine Science, Russian Academy of Sciences, Vasil’evskii ostrov, Bol’shoi pr. 61, St. Petersburg, 199178, Russia

    V. V. Alekseev, D. A. Indeitsev & Yu. A. Mochalova

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  1. V. V. Alekseev
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  2. D. A. Indeitsev
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  3. Yu. A. Mochalova
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 5, 2002, pp. 16–21.

Original Russian Text Copyright © 2002 by Alekseev, Inde\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \)tsev, Mochalova.

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Alekseev, V.V., Indeitsev, D.A. & Mochalova, Y.A. Vibration of a flexible plate in contact with the free surface of a heavy liquid. Tech. Phys. 47, 529–534 (2002). https://doi.org/10.1134/1.1479977

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