Free Vibration Analysis of Functionally Graded Plates with Circular Cutouts

Functionally graded materials have received a lot of interest in recent days by their diversified and potential applications in aerospace and other industries. They have high specific mechanical properties and high temperature capabilities which makes them special over all the exiting advanced materials. The present work investigated free vibration analysis of functionally graded square plate. The material properties vary continuously from bottom surface to top surface.The effective material properties of functionally graded materials for the plate structures are assumed to be temperature independent and graded in the plate thickness direction according to a power law distribution of the volume fractions of the constituents. The present model is developed using finite element software ABAQUS. 4 noded shell elements is used through out the analysis which is a linear element. Parametric studies have been done for various power law indices by varying the diameter of circular cut out for different boundary conditions.