The free vibration of shear deformable FGM cylindrical shell is analyzed by means of three analytical approaches including Hamiltonian Approach (HA), Energy Balance Method (EBM) and the Modified Energy Balance Method (MEBM). Firstly, dimensionless equation of vibration of shell is derived and using the Galerkin procedure, the associating ODE is constructed. The Voight model is employed and a parametric study is provided. Effects of different parameters such as the temperature, stiffness and material properties on the natural frequencies are studies. Accuracy and performance of different approaches are analyzed. Moreover the sensitivity of frequency ratio to the different parameters is investigated.

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