Influence of Point Mass Over FGM Plate for Vibration Signature in Different Boundary Conditions Using FEA

This paper investigates the effect of mass ratio and volume fraction on natural frequency for functionally graded (FG) square plate having same aspect ratio under clamped, simply supported, and simply-clamped supported condition. The fundamental frequency is calculated using first-order shear deformation theory (FSDT) with point mass attached at the center of the plate. The mechanical properties of the square plate are assumed to vary across the thickness of the plate by power law distribution. Numerical results for different mass ratios and volume fraction index with different support conditions are obtained and some results of fundamental frequencies are also validated with published results. It is observed that with increase in mass ratio and volume fraction index, the non-dimensional frequency of the plate decreases.