TSDT theory for free vibration of functionally graded plates with various material properties

In this work, an implicit algorithm is used for analyzing the free dynamic behavior of Functionally Graded Material (FGM) plates. The Third order Shear Deformation Theory (TSDT) to develop proposed model. contribution, formulation written without any homogenization technique as rule mixture. Hamilton principle establish resulting equations motion. For spatial discretization based on Finite Element Method (FEM), a quadratic element with four and eight nodes adopted using seven degrees freedom per node. An solving obtained problem. To study accuracy performance approach, we present comparisons literature laminate composite modeling results vibration natural frequencies. Otherwise, examine influence exponent volume fraction which reacts plates "P-FGM" "S-FGM". addition, thickness "E-FGM"