Free Vibration Analysis of Fluid-saturated Porous Rectangular Plates

Abstract

Based on the theory of the Biot's model for saturated porous media, a 3D exact solution is presented for free vibrations of simply supported fluid-saturated porous rectangular plates using the power series method and by selecting the appropriate displacement function satisfying the simple support boundary conditions, the governing equations of fluid-saturated porous rectangular plates are then solved. By degenerating the plates into a single-phase solid rectangular plates, the presented methodology is validated by comparing the free vibration frequency of the plates with that of available literature. As numerical example, the characteristics of the free vibration of the rectangular plates are analyzed. The influences of surface infiltration condition, pore fluid permeability coefficient and porosity parameters, etc. on the free vibration frequency of the fluid-saturated porous rectangular plates are studied.