Three-dimensional free vibration and bending analyses of functionally graded graphene nanoplatelets-reinforced nanocomposite annular plates

Based on the three-dimensional theory of elasticity, the free vibration and bending analyses of functionally graded graphene nanoplatelets-reinforced nanocomposite (FG-GPLRC) annular plates are performed in this paper. The state-space based differential quadrature method (SS-DQM) is employed to study the vibration and bending behaviors of multilayer FG-GPLRC annular plates with different boundary conditions. The modified Halpin-Tsai micromechanical model and rule of mixtures are used to evaluate the effective material properties of the graphene-based nanocomposites, and five different types of GPL distribution patterns are discussed. After convergence and validation studies to verify the present analyses, comprehensive parametric investigations are conducted to examine the effects of weight fraction, distribution pattern, and geometric parameters of GPLs on free vibration and bending characteristics of the FG-GPLRC annular plates. Numerical results reveal that pattern GPL-X offers the best reinforcing effect for improved natural frequencies and deformation resistances of the nanocomposite annular plates.