Influence of ring support on free vibration of sandwich functionally graded cylindrical shells with middle layer of isotropic material

In this vibration analysis,influence of ring supports on functionally gradient three-layered sandwich cylindrical shells is presented with middle layer fabricated of isotropic material. the ring support is introduced beside radial direction of the shell. love's first order thin shell theory is used for strain- and curvature-displacements relationship. rayleigh-ritz approach is employed to form the shell frequency equation. axial modal dependence is approximated by characteristics beam functions. study is carried out for placing ring support in different position of the shell,for different configuration of the functionally graded material's layers to investigate the natural frequencies of the cylindrical shells under different boundary conditions for a number of physical parameters. results obtained are validated with the previous published works in the open literature.