Dynamic characteristics of functionally graded graphene reinforced porous nanocomposite curved beams based on trigonometric shear deformation theory with thickness stretch effect

Abstract

In this article, functionally graded graphene platelet reinforced porous nanocomposite curved beams are studied considering the free vibration and dynamic response analyses by employing an efficient trigonometric shear deformation theory with thickness stretching effect. Based on the Hamilton’s principle, the governing equations developed here are solved by applying the Navier’s solutions coupled with the eigenvalue approach for the free vibration or the direct integration method for the forced vibration analysis. The dynamic characteristics of curved beams reinforced by the graphene platelets are examined by varying the distribution pattern for porosity and graphene platelets, shallowness, and thickness of the curved beam.