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The dynamic von Karman equations are used for nonlinear analysis of a thin circular plate made of a functionally graded material. The thickness of the plate is constant and the properties of the functionally graded material depend on temperature and vary throughout the thickness. It is assumed that the plate oscillates with large amplitudes. The forces and moments in the plate are determined in solving the equations for harmonic vibrations. Relevant results are obtained in the case of stead-state free vibrations. These results indicate that the volume fraction has a strong effect on the forces, moments, and material properties Introduction. The functionally graded materials (FGMs) are inhomogeneous composite materials often made of different phases of materials such as ceramic and metal. FGMs have different applications especially for space vehicles, defense industries, and biomedical sectors. FGM properties vary continuously from one interface to another. Those are achieved by gradually varying the volume fractions of the constituent materials. For the dynamic behavior of FGMs, Praveen and Reddy [1] conducted a nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates using the FEM. Yang and Shen [2] dealt with the dynamic response of initially stressed FGM rectangular thin plates subjected to impulsive loads and studied the effects of volume fraction index, foundation stiffness, plate aspect ratio, the shape and duration of impulsive load on the dynamic response of FGM plates. Reddy and Cheng [3] studied the harmonic vibration problem for functionally graded plates using a three-dimensional asymptotic theory formulated in terms of a transfer matrix. Woo and Meguid [4] carried out a nonlinear analysis of functionally graded plates and shallow shells and provided an analytical solution for coupled large deflections of plates and shallow shells under mechanical load and temperature field. The solution was obtained in terms of Fourier series. Chen [5] analyzed the nonlinear vibration of a shear deformable functionally graded plate by using equations that include the effects of transverse shear and rotary inertia. It was found that the volume fractions of the constituents greatly changed the behavior of nonlinear dynamic response.A significant geometrical nonlinearity is induced when thin circular plates are subjected to severe dynamic loading conditions. In this case, such structures can exhibit vibrations with large amplitudes on the order of the plate thickness. Selmane et al.[6] presented a method for analysis of the free transverse vibration of thin, elastic, isotropic, uniform and nonuniform circular and annular plates. The method is a hybrid of plate theory and finite-element analysis. Li et al. [7] studied the nonlinear vibration and thermal buckling of circular and annular plates by using the Kantorovich time-averaging and shooting methods. Haterbouch and Benamar [8] performed a more complete study on the effects of large amplitudes on the axisymmetric mode shapes and natural f...

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