Abstract
The governing equations of flexural vibrations of thin, fluid-saturated poroelastic plates are derived in detail. The plate theory employed is the one due to Kirchhoff. The plate material obeys either Biofs theory of poroelasticity with one degree of porosity suitable for soils or the AifantisBeskos' theory of poroelasticity with two degrees of porosity suitable for fissured rocks. The dynamic response of a rectangular, simply supported, poroelastic plate to a harmonic lateral load is obtained analytically numerically for both soil and rock models. The effects of porosities and permeabilities on the response are studied and a comparison between the results of the two material models is made. The quasi-static problem is analysed as a special case of the dynamic one.
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