Abstract
A general integral transform technique is applied to the problem of the acoustic harmonic plane wave scattering from a vacuum-backed infinite elastic plate having a single line impedance discontinuity. Since the theory of elasticity is used to model the plate, no restrictive assumptions are made about the frequency–plate-thickness product. The exact formal expressions for the scattered pressure in the fluid and the normal velocity of the plate surfaces are derived. A simple expression for the far-field nonspecular scattered pressure is presented using the stationary phase method. Numerical results are then presented for the far-field pressure directionality patterns for a simply supported plate insonified by a plane harmonic wave at low, intermediate, and high frequencies. The influence of the boundary conditions on the lower surface of the plate on the nonspecular scattered pressure in the fluid is explained with the help of the plots for the velocity distribution within the plate. A FFT technique is used to compute the pressure on the top surface of the plate and the normal velocity of both the plate surfaces. These results are then related to the interfacial wave field characteristics on the plate surfaces.
Published Version
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