In this article, functionally graded hollow cylinders with finite length under axisymmetric dynamic loads are analyzed. The dynamic loads applied on the cylinder are axisymmetric in the hoop direction. The governing equations of motion are solved by the two-dimensional finite element and Newmark methods. An especial element is introduced to model the distribution of material properties through the thickness of cylinder exactly according to the power law distribution. The transient responses of functionally graded cylinders which are excited in radial direction by suddenly internal pressure and line load are calculated. The results in the present study are obtained for thick cylinder and cylindrical shell and compared with the results for isotropic cylinders.

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