Motion of a slender body in a fluid under a floating plate |
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Authors: | A V Pogorelova V M Kozin V L Zemlyak |
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Institution: | 1.Institute of Engineering and Metallurgy, Far East Branch,Russian Academy of Sciences,Komsomolsk-on-Amur,Russia;2.Komsomolsk-on-Amur State Technical University,Komsomolsk-on-Amur,Russia;3.Amur State Humanities and Education University,Komsomolsk-on-Amur,Russia |
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Abstract: | This paper studies the three-dimensional unsteady problem of the hydroelastic behavior of a floating infinite plate under
the impact of waves generated by horizontal rectilinear motion of a slender solid in a fluid of infinite depth. An analytic
solution of the problem is found based on the known solutions for the unsteady motion of a point source of mass in a fluid
of infinite depth under a floating plate. Asymptotic formulas are obtained which model the motion of a solid slender body
in a fluid by replacing the body with a source-sink system. These formulas are used to numerically analyze the effect of plate
thickness, depth of the body, its dimensions and the velocity of rectilinear motion on the amplitude of deflection of the
floating plate. The motion of a submarine under a nonbreakable plate was modeled experimentally. Theoretical and experimental
data are in good agreement. |
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