The Excitation of a Fluid-loaded Plate Stiffened by a Semi-infinite Array of Beams

Publisher Website
Google Scholar
Abstract
The excitation of an infinite, fluid-loaded plate with parallel, equally spaced stiffening beams reinforcing one half of it is studied. The problem is formulated in terms of a discrete convolution equation for the displacement at the beam positions and is solved by discrete Fourier transforms coupled with the Wiener-Hopf technique. The basic ideas are introduced through a reconsideration of the excitation of an infinite, fluid-loaded plate, stiffened by a periodic array of beams. As an example, asymptotic expressions are derived for the reflected, transmitted and scattered fields generated when a free wave in the unstiffened half of the plate impinges upon the semi-infinite array. It is shown, in particular, that the far-field motion in the stiffened half of the plate has the form of a Floquet wave. Numerical results for reflection and transmission coefficients, and for the pressure field radiated into the fluid, are presented graphically. Finally, a brief outline is given of a number of related problems that are soluble by similar techniques.

This publication has 0 references indexed in Scilit: