Abstract:
The problem of the behavior of a floating elastic thin plate under periodic vibrations of a bottom segment is solved using a numerical procedure based on the Wiener–Hopf technique. The effects of the vibration frequency, the position of the vibrating bottom segment, and the fluid depth on the vibration frequencies of the fluid and plate are studied numerically.
Citation:
L. A. Tkacheva, “Vibrations of a floating elastic plate due to periodic displacements of a bottom segment”, Prikl. Mekh. Tekh. Fiz., 46:5 (2005), 166–179; J. Appl. Mech. Tech. Phys., 46:5 (2005), 754–765
\Bibitem{Tka05}
\by L.~A.~Tkacheva
\paper Vibrations of a floating elastic plate due to periodic displacements of a bottom segment
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 5
\pages 166--179
\mathnet{http://mi.mathnet.ru/pmtf2312}
\elib{https://elibrary.ru/item.asp?id=15175976}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 5
\pages 754--765
\crossref{https://doi.org/10.1007/s10808-005-0132-3}
Linking options:
https://www.mathnet.ru/eng/pmtf2312
https://www.mathnet.ru/eng/pmtf/v46/i5/p166
This publication is cited in the following 4 articles:
V. M. Kozin, “Results of Experimental and Theoretical Studies of the Possibilities of the Resonance Method of Ice Cover Destruction”, Mech. Solids, 58:3 (2023), 671
Vladimir A. Babeshko, Olga V. Evdokimova, Olga M. Babeshko, Advanced Structured Materials, 156, Dynamics and Control of Advanced Structures and Machines, 2022, 13
V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, “Investigation of the three-dimensional Helmholtz equation for a wedge using the block element method”, J. Appl. Mech. Tech. Phys., 62:5 (2021), 717–722
IZOLDA V. STUROVA, “Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth”, J. Fluid Mech., 637 (2009), 305
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