Abstract
The governing equations of flexural vibrations of thin, fluid-saturated, poroelastic plates are derived in detail. The plate material obeys the Aifantis-Beskos theory of poroelasticity with two degrees of porosity, while the plate theory employed is the one due to Kirchhoff. The dynamic response of a rectangular, simply supported, poroelastic plate with two degrees of porosity to harmonic load is obtained analytically-numerically and the effects of porosities and permeabilities on the response are studied. A comparison between the single and double porosity material models is also made. The quasi-static problem is analysed as as special case of the dynamic one.
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