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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 3, Pages 136–145 (Mi pmtf2387)  

This article is cited in 10 scientific papers (total in 10 papers)

Plane problem of vibrations of an elastic floating plate under periodic external loading

L. A. Tkacheva

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Science, Novosibirsk, 630090
Abstract: The Wiener–Hopf technique is used to construct an analytical solution of the problem of vibrations of a semi-infinite elastic floating plate under periodic external loading. The solution is obtained in explicit form ignoring draft. The dependences of the amplitudes of surface waves and ice-plate deflection on the loading distribution and frequency, ice thickness, and liquid depth are studied numerically. It is established that for some types of acting load, no waves propagate in the plate and liquid and the plate vibrations are standing waves localized near the loading region. An example of such vibrations is given and a condition for the occurrence of localized vibrations is found.
Keywords: surface waves, flexural-gravity waves, elastic thin plate, Wiener–Hopf technique, localized vibrations.
Received: 18.08.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 3, Pages 420–427
DOI: https://doi.org/10.1023/B:JAMT.0000025025.38066.ab
Bibliographic databases:
Document Type: Article
UDC: 532.59:539.3:534.1
Language: Russian
Citation: L. A. Tkacheva, “Plane problem of vibrations of an elastic floating plate under periodic external loading”, Prikl. Mekh. Tekh. Fiz., 45:3 (2004), 136–145; J. Appl. Mech. Tech. Phys., 45:3 (2004), 420–427
Citation in format AMSBIB
\Bibitem{Tka04}
\by L.~A.~Tkacheva
\paper Plane problem of vibrations of an elastic floating plate under periodic external loading
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 3
\pages 136--145
\mathnet{http://mi.mathnet.ru/pmtf2387}
\elib{https://elibrary.ru/item.asp?id=17249205}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 3
\pages 420--427
\crossref{https://doi.org/10.1023/B:JAMT.0000025025.38066.ab}
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  • https://www.mathnet.ru/eng/pmtf/v45/i3/p136
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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