Free Vibration Analysis of Functionally Graded Material Plates with Various Types of Cutouts using Finite Element Method

Abstract

This paper presents free vibration analysis of functionally graded plates of different shapes with different cutouts. In order to investigate the free vibration of functionally graded plates, subspace method is used. The material properties of the plates are assumed to vary according to a power law distribution in terms of the volume fraction of the constituents. In this paper, rectangular, trapezoidal and circular plates with cutouts are studied and the effects of volume fraction index, thickness ratio and different external boundary conditions on the natural frequencies of plates are studied in detail.