Free Vibration Response of Functionally Graded Material Plate Subjected To Simply Supported and Simply Supported-Clamped Boundary Conditions

Response of Free Vibration behaviour of Functionally Graded Aluminium / Zirconia plates using finite element method. In this study, the following boundary conditions of FGM plate are considered: (i) all edges are simply supported (SSSS) (ii) two adjacent edges are simply supported and other two adjacent edges are clamped (SSCC). Functionally Graded Material Plate are assumed to be isotropic and effective material properties of FGM plate are graded in thickness direction. Material properties idealization are defined by simple distribution laws which are defined in terms of the volume fractions of the constituent’s i.e. Power law function (P-FGM), Sigmoidal-function (S-FGM) and Exponential function (E-FGM). The present finite model is established using ANSYS parametric design language code in the ANSYS platform. An 8-node 3-D solid-shell element (SOLSH190) based on the first-order shear-deformation theory is used for the above analysis. The finite element model of the FGM plate is subdivided into a sufficient number of layers, and its associated material properties are then laminated to establish the through-thickness variation of effective material properties. The layered structure need not necessarily indicate the gradual change in material properties so that a sufficient number of layers can be substantially approximated to the gradation of effective material properties. Comparative studies and convergence tests with different mesh refinements were performed to demonstrate the efficiency / accuracy of the current model. Numerical results are presented in the form of a non-dimensional frequency parameter. Parametric investigation is carried out for different supporting conditions, plate-aspect ratios, effect of material gradient index of FGM plates.