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Abstract
Vibrational properties of hull plates of ships are considerably modified by the presence of the water. A simple model problem, consisting of a thin, transversely vibrating plate with a compressible fluid at one side, is analyzed in some detail. The model equations are solved by means of a Green integral representation along with a set of coupled boundary integral equations. The kernel of the integral representation is found by using the Fourier integral transform technique and by evaluating numerically the inverse transform in the complex wave-number plane. For the two-dimensional case the boundary integral equations degenerate to a system of algebraic equations, thus yielding an exact representation of the solution. Numerical results are presented that show the fluid-loading effect on the resonant frequencies of the plate, which are shifted downwards relative to the in-vacuo natural frequencies, while acoustic radiation contributes to the sampling of the plate’s resonant modes. [Work supported by the TNO Institute of Applied Physics, Delft, The Netherlands.]
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