Abstract:
A plane unsteady-state linear problem of the immersion of an elastic plate of finite length in an ideal incompressible weightless fluid is considered. The deflection of the plate and the velocity of its points are known at the initial moment of time. The fluid occupies the lower halfplane, and its boundary outside the plate is free. The plate which is the bottom of a structure immersed in the fluid with a constant velocity is modeled by an Euler beam. At the initial stage of immersion, when the displacement of the structure is much smaller than the length of the plate, the plate deflection and the distribution of bending stresses in it are determined. The model used allows one to estimate the maximum stresses occurring in the elastic plate during its impact on water and to predict the moment and site of its occurrence. Calculations are performed under the conditions of the experiment carried out in MARINTEX (Norway). Qualitative agreement between the numerical and experimental results is shown.
Citation:
A. A. Korobkin, T. I. Khabakhpasheva, “Plane linear problem of the immersion of an elastic plate in an ideal incompressible fluid”, Prikl. Mekh. Tekh. Fiz., 40:3 (1999), 150–160; J. Appl. Mech. Tech. Phys., 40:3 (1999), 491–500
\Bibitem{KorKha99}
\by A.~A.~Korobkin, T.~I.~Khabakhpasheva
\paper Plane linear problem of the immersion of an elastic plate in an ideal incompressible fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 3
\pages 150--160
\mathnet{http://mi.mathnet.ru/pmtf3089}
\elib{https://elibrary.ru/item.asp?id=35313278}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 3
\pages 491--500
\crossref{https://doi.org/10.1007/BF02468406}
Linking options:
https://www.mathnet.ru/eng/pmtf3089
https://www.mathnet.ru/eng/pmtf/v40/i3/p150
This publication is cited in the following 10 articles:
Romain Hascoët, Nicolas Jacques, “On the risk of fatigue failure of structural elements exposed to bottom wave slamming – Impulse response regime”, Applied Ocean Research, 154 (2025), 104411
A.A. Korobkin, T.I. Khabakhpasheva, K.A. Shishmarev, “Eigenmodes and added-mass matrices of hydroelastic vibrations of complex structures”, J. Fluid Mech., 970 (2023)
Qiyuan Wu, Tatyana Khabakhpasheva, Baoyu Ni, Alexander Korobkin, “Interaction of a Flexural-Gravity Wave with a Vertical Rigid Plate Built in a Floating Elastic Plate”, JMSE, 11:4 (2023), 697
“Numerical analysis of water entry under ocean currents with smoothed particle hydrodynamics method”, Physics of Fluids, 35:6 (2023)
Bing Ren, Ming Liu, Xue-lin Li, Yong-xue Wang, “Experimental investigation of wave slamming on an open structure supported elastically”, China Ocean Eng, 30:6 (2016), 967
Adel Shams, Maurizio Porfiri, “Treatment of hydroelastic impact of flexible wedges”, Journal of Fluids and Structures, 57 (2015), 229
Peter D. Hicks, Frank T. Smith, “Skimming impacts and rebounds on shallow liquid layers”, Proc. R. Soc. A., 467:2127 (2011), 653
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