This article presents the analysis of functionally graded hollow cylinder under dynamic load. The functionally graded cylinder is assumed to be made from many subcylinders. Each subcylinder is considered as an isotropic layer. Material\'s properties in each layer are constant and functionally graded properties are resulted by suitable arranging of layers in multilayer cylinder. The properties are controlled by volume fraction that is exponential function of radius. The shell is assumed to be in plane strain condition, and is subjected to axisymmetric dynamic loading. The Navier equation is solved by Galerkin finite element and Newmark methods. In each interface between two layers, stress and displacement continuity are satisfied. By using the fast Fourier transform (FFT), the time response is transferred to the frequency domain and natural frequencies found, then the dynamic behavior of functionally graded thick hollow cylinder is discussed. Finally the functionally graded cylinder is assumed isotropic and the results are compared with analytical results.

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