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Explicit Solution of Difference Equation for the Wavenumber Response of Fluid-Loaded Stiffened Plate
NAVAL UNDERSEA WARFARE CENTER NEWPORT DIV NEW LONDON CT NEW LONDON DETACHMENT
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A method for solving a difference equation encountered for excitation of a line-driven, fluid-loaded, infinite flat plate with nonperiodic attached rib stiffeners is presented. For the case of excitation by Q complex exponentials, a linear set of Q simultaneous equations must be solved for each wavenumber k. For the most general excitation, a linear integral equation must be solved at each k. A possible shortcut for obtaining solutions at certain shifted values of wavenumber k is pointed out. Acoustic radiation from the upper surface of a fluid-loaded stiffened plate has been examined by Cray. The formulation developed there produces an implicit algebraic equation for the Fourier transformed plate wavenumber response. This response must be manipulated into an explicit form in order to obtain a solution for the plates structural response and to obtain the near- and far-field generated acoustic response.
APPROVED FOR PUBLIC RELEASE