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Journal of the Acoustical Society of America

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Jul 2003

Volume 114, Issue 1, pp. 1-549

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Edge waves in poroelastic plate under plane stress conditions

P. Malla Reddy and M. Tajuddin

J. Acoust. Soc. Am. Volume 114, Issue 1, pp. 185-193 (2003); (9 pages) | Cited 1 time

Online Publication Date: 03 Jul 2003

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Employing Biot’s theory, the problem of edge waves in poroelastic plate under plane stress conditions is studied for both a pervious and an impervious surface. The equations for plane stress conditions are derived and discussed. The particle trajectory is obtained, which is an elliptic. The frequency equation is discussed for symmetric and antisymmetric motions and results of special interest are shown. © 2003 Acoustical Society of America.
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43.40.At Experimental and theoretical studies of vibrating systems

An approximate Green’s function for a locally excited fluid-loaded thin elastic plate

Daniel T. DiPerna and David Feit

J. Acoust. Soc. Am. Volume 114, Issue 1, pp. 194-199 (2003); (6 pages) | Cited 5 times

Online Publication Date: 03 Jul 2003

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In the classic treatment of the line-driven, fluid-loaded, thin elastic plate, a branch cut integral typically needs to be evaluated. This branch cut arises due to a square root operator in the spectral form of the acoustic impedance. In a previous paper [J. Acoust. Soc. Am. 110, 3018 (2001)], DiPerna and Feit developed a methodology, complex layer analysis (CLA), to approximate this impedance. The resulting approximation was in the form of a rational function, although this was not explicitly stated. In this paper, a rational function approximation (RFA) to the acoustic impedance is derived. The advantage of the RFA as compared to the CLA approach is that a smaller number of terms are required. The accuracy of the RFA is examined both in the Fourier transform domain and the spatial domain. The RFA is then used to obtain a differential relationship between the pressure and velocity on the surface of the plate. Finally, using the RFA in conjunction with the equation of motion of the plate, an approximate expression for the Green’s function for a line-driven plate is obtained in terms of a sum of propagating and evanescent waves. Comparisons of these results with the numerical inversion of the exact integral show reasonable agreement. © 2003 Acoustical Society of America.
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43.40.Yq Instrumentation and techniques for tests and measurement relating to shock and vibration, including vibration pickups, indicators, and generators, mechanical impedance
43.40.Dx Vibrations of membranes and plates
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