Finite Element Vibration Analysis of a Functionally Graded Plate

Abstract

Functionally Graded (FG) materials are recent types of engineering materials developed as a solution for applications where a couple of relevant properties of different materials are desired in a single continuous composite structure. In these materials, properties are patterned in a way to insure a gradient and continuous property transition direction-wise. This study is a contribution in the literature among other studies but provides an additional understanding of FG Plate structures vibrational behavior in terms of natural frequencies and modal shapes. For this end, an FG plate is modelized and analyzed using Ansys APDL. Two boundary conditions (all sides clamped “CCCC” and two parallel sides clamped with two others free “CCFF”) for the same plate element and two power law indices “n” are considered. Results are compared with those in the literature and conclusions are drawn accordingly.