Natural Frequency Determination of Functionally Graded Thick Hollow Cylinders Using Galerkin Method

In the present work, natural frequencies of a functionally graded thick hollow cylinder is determined. The cylinder natural frequencies are obtained using Galerkin Finite Element Method. 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 exponential function of layer radius in multilayer cylinder. A plane strain model of functionally graded cylinder is also simulated in ABAQUS. Both results are compared to gather and with the results of previous works. Good agreements were found between the present results and those reported in the literature indicating the accuracy and confidence of the calculations