Free and Forced Vibration Characteristics of Functionally Graded Sandwich Beam with GPL-Reinforced Porous Core

In this report, the dynamic response of a functionally graded graphene platelets porous (FGP-GPL) sandwich beam composed of two functionally graded material (FGM) face sheets and an FG porous core reinforced with graphene platelets is investigated. Uniform/non-uniform distribution patterns of internal pores and GPLs along the thickness direction are considered. The governing equations are derived from Lagrange's equations in the framework of quasi-3D beam theory. Ritz method based on polynomial trial functions is utilized to discretize the equilibrium equations into a matrix form and then solved by Newmark's constant average acceleration method to obtain the time-dependent response. The accuracy of the presented methodology is confirmed by comparison with analytical solution and with results available in the open literature. Parametric studies are conducted to highlight the effect of porosity coefficient, porosity and GPL distribution patterns, volume fraction index, GPL weight fraction, boundary supports on the dynamic characteristics of the sandwich beam.