Comparison of Various Shell Theories for Vibrating Functionally Graded Cylindrical Shells

The classical shell theory, first-order shear deformation theory, and third-order shear deformationtheory are employed to study the natural frequencies of functionally graded cylindrical shells. thegoverning equations of motion describing the vibration behavior of functionally graded cylindricalshells are derived by hamilton’s principle. resulting equations are solved using the navier-typesolution method for a functionally graded cylindrical shell with simply supported edges. theeffects of transverse shear deformation, geometric size, and configurations of the constituentmaterials on the natural frequencies of the shell are investigated. validity of present formulationwas checked by comparing the numerical results with the love’s shell theory.