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In this paper, the free vibration of a two-dimensional functionally graded circular cylindrical shell is analyzed.To describe the material properties of the two-phased FGM material Mori–Tanaka micromechanical model is used. The spatial derivatives of the equations of motion and boundary conditions are discretized using the methods of generalized differential – Integral quadrature (GDIQ). To validate the results, comparisons are made with the solutions for FG cylindrical shells available in the literature. The results of this study show that the values of natural frequency of 2D FGMs are higher than those of 1D FGMs in parallel conditions. Furthermore, application of a confining elastic foundation increases the value of natural frequencies. The results of this study show that the values of natural frequency of 2D FGMs are higher than those of 1D FGMs in parallel conditions. Furthermore, application of a confining elastic foundation increases the value of natural frequencies. The results of this study show that the values of natural frequency of 2D FGMs are higher than those of 1D FGMs in parallel conditions. Furthermore, application of a confining elastic foundation increases the value of natural frequencies.

Keywords: "Free Vibration", "Cylindrical Shell", "Two-dimensional FGM", " GDIQ"

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