Abstract

An approach is presented to evaluate the transient pressure field and vibratory response of a finite fluid‐loaded rectangular vibrator when excited by a wideband force and mounted in a planar baffle. The approach utilizes an in‐vacuo eigenfunction expansion with time dependent coefficients to describe the velocity of the vibrator in the fluid. In contrast to the in‐vacuo problem, the time dependent modal coefficients are coupled for the in‐fluid problem. The coefficients are shown to be the solution of a coupled set of convolution integral equations which can be solved by marching forward in time. Near‐ and farfield pressures are expressed as a sum of convolution integrals involving the mode dependent velocity coefficients and spatially dependent impulse responses. Numerical results for several problems will be presented to illustrate the effects of fluid loading and modal coupling on the response of several vibrators. [Work supported by ONR.]

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