Nonstationary motion of a shell on the surface of a heavy fluid |
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Authors: | Yu F Orlov A S Suvorov |
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Institution: | (1) Nizhny Novgorod State Technical University, Nizhny Novgorod, 603600, Russia |
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Abstract: | A three-dimensional nonstationary problem of vibrations of a flexible shell moving on the surface of an ideal heavy fluid.
The forces due to surface tension are ignored. The problem is formulated in the space of the acceleration potential. The potential
of the pulsating source is found by solving the Euler equation and the continuity equation taking into account the free-surface
conditions (linear theory of small waves) and the conditions at infinity. The density distribution function of the dipole
layer is determined from the boundary conditions on the surface of the shell. Formulas for determining the shape of gravity
waves on the fluid surface and the natural frequencies of vibrations of the shell are obtained.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 66–75, July–August, 2009. |
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Keywords: | hydroelasticity gravity waves potential flow |
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