Modal analysis of Functionally Graded material Plates using Finite Element Method

work aims to carry out modal analysis of a functionally graded material (FGM) plate to determine its natural
frequencies and mode shapes by using Finite Element Method (FEM). Functionally graded material can be differentiated by
varying the composition and structure progressively over its volume, consequentially in corresponding changes in the material
constituents. The mechanical properties of a FGM plate change continuously from one surface to another through its thickness
direction according to power law. For modal analysis of FGM plate program has been coded in MATLAB software. Some
examples are solved, and the results are compared with those available in the literature. The mode shape and natural frequencies
of rectangular FGM plate are found at different boundary conditions. It has been observed the effect of volume fraction index,
which indicates the percentage of ceramic and metal composition in the FGM. In addition, the effects of power law index on the
FGM plate natural frequency and mode shapes with different boundary conditions are studied.