Free Vibration Analysis of Functionally Graded Graphene-Reinforced Composite Plates with Movable Simply Supported Boundary Conditions

Graphene is a highly oriented graphite material obtained by stripping. Its unique structure gives it excellent mechanical, electrical, and thermal properties, making it widely applicable in the aerospace, manufacturing, and construction industries. This article uses the first-order shear deformation plate theory to study the free vibration of functionally graded graphene-reinforced composite plates with movable simply supported boundary conditions. The modified Halpin-Tsai model is used to estimate the equivalent Young's modulus of the composite material, and its partial differential equation is constructed based on the Hamilton principle. For different boundary conditions, we first assume a trial function and then use the Galerkin method to calculate the unit frequency of the plate.