Dynamic response of functionally graded graphene nanoplatelet reinforced shells with porosity distributions under transverse dynamic loads

This article investigates forced vibrational characteristics of a porous nanocomposite shell reinforced by graphene platelets (GPLs) under radial dynamic loads. Material properties of the shell dependents on uniform and non-uniform distributions of GPLs and porosities. Description of the material properties of such nanocomposites accounting for porosity and GPL content is performed via Halpin-Tsai micromechanical rule. The dynamic equations of the nanocomposite shell are based on first order shell theory and a semi-analytical approach is implement to solve these equations and obtain dynamic deflections due to applied load. It is elucidated that GPL and porosity content can significantly affect the dynamic response of a nanocomposite shell. Actually, the resonance frequency of a nanocomposite shell can be increased by increasing the GPL percentage.