Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions

This paper studies free vibrational behavior of porous nanocomposite shells reinforced with graphene platelets (GPLs). GPLs are uniformly and nonuniformly distributed thorough the thickness direction. Different porosity distributions called uniform, symmetric, and asymmetric are considered. The elastic properties of the nanocomposite are obtained by employing Halpin-Tsai micromechanics model. The GPL-reinforced shell is modeled via first order shear deformation theory and Galerkin's method is implemented to obtain vibration frequencies. New results show the importance of porosity coefficient, porosity distribution, GPL distribution, GPL weight fraction, and geometrical and foundation parameters on vibration behavior of porous nanocomposite shells.