Quasi-3D Refined Theory for Functionally Graded Porous Plates: Vibration Analysis

Abstract

This paper aims to present free vibration of porous functionally graded thick rectangular plates using a quasi-3D refined theory. This theory considers the thickness stretching effect for vibration analysis of porous plates. It is assumed that the material properties of the porous plate are varying across the plate thickness according to a modified polynomial material law. The equations of motion of the porous plate are obtained via the Hamilton principle. Navier’s technique is applied to obtain the closed-form solution for simply-supported functionally graded materials porous plates. Some numerical validations are presented to prove the accuracy of the present quasi-3D refined theory in predicting the free vibration response of porous plates. The influence of porosity parameter, aspect ratio, side-to-thickness ratio, and exponent graded factor are discussed.