In this paper, the nonlinear vibration of a thin circular functionally graded material (FGM) plate is studied. The governing equations and boundary conditions are extracted. The plate thickness is constant and the material properties of the plate are assumed to vary continuously through the thickness. The assumed-time-mode method is used to analyze these equations. The time variable is eliminated by assuming a harmonic response for nonlinear vibration and using Kantorovich time averaging technique. Utilizing shooting and Rung-Kutta methods, the set of first order nonlinear differential equations are solved. The effect of volume fraction index in free and forced vibration response and jump phenomenon is studied.
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