Vibration–impact study on the functionally graded graphene nanoplatelets reinforced composite curved open-type shell

Abstract

This paper investigates the stability of the curved system reinforced by graphene nanoplatelets (GPLs) under low-velocity impact. Hertz contact theory is employed in order to model the contact force between the shell and the impactor. In order to acquire the displacement domains, higher-order shear deformation theory (HSDT) with twelve parameters is used. The governing equations, in addition to end conditions, are attained by the Minimum potential energy method. Then the formulations are solved through the Galerkin method as well as the Newmark method. By coupling Galerkin and Newmark methods, we solved the governing equations of the curved system under external excitation for attaining the dynamic and low-velocity impact responses. The results section shows the influence of boundary conditions, velocity, mass, and radius of the impactor, and the weight fraction of GPLs on indenter velocity, contact force, and the indentation of the GPLs reinforced open-type shell under low-velocity impact.