Finite Element Free Vibration Analysis of Clamped Functionally Graded Plate

The main objective of this research is to present analytical solutions for free vibration analysis of moderately thick plates composed of functionally graded materials. Finite element analysis using first-order shear deformation plate theory (FSDT) has been used in the research. Nine noded-isoparametric lagrangian plate bending elements are used in the analysis. Young’s modulus and density per unit volume are assumed to vary continuously through the plate thickness according to power-law distribution. The results have been validated with the existing literature available from other analytical and numerical techniques. The effect of different plate parameters such as aspect ratios, thickness to length ratios, and gradient indices on the natural frequencies of FG rectangular plates is presented. Only clamped boundary conditions have been investigated. It is found that the frequency parameter depends considerably on the said parameters.