Flexural Vibrations Analysis of Saturated Porous Circular Plates Using Differential Quadrature Method

The present study provides the vibrations analysis of a solid circular plate made of porous material. The plate is assumed to be comparatively thin and the porous material properties vary through the thickness direction of the plate following given functions. The governing equations and boundary conditions are obtained based on the classical plate theory and by employing Hamilton’s principle. By using differential quadrature method the governing differential equations are converted to algebraic equations and the natural frequencies are obtained. The obtained results show by increasing the porosity, the natural frequency of the plate increases in poro/nonlinear symmetric distribution but the natural frequency remains constant in poro/monotonous distribution. Also in both of mentioned poro distributions, by increasing the pores compressibility which is shown by Skempton coefficient at constant porosity, the natural frequency of the plate increases too. The numerical results are verified for the simpler state with the known results in the literature.