Buckling and free vibration of axially functionally graded graphene reinforced nanocomposite beams: Fid-Bau Portal

Buckling and free vibration of axially functionally graded graphene reinforced nanocomposite beams

Liu, Dongying / Chen, Da / Yang, Jie / Kitipornchai, Sritawat

Highlights • Compressive buckling and free vibration of axially loaded AFG-GPLRC beams are investigated. • Critical buckling load and natural frequencies are obtained using Euler-Bernoulli beam theory and the state-space method. • Vibration and buckling behaviours of the beam are significantly improved by using a small content of GPLs. • The effect of GPL distribution pattern heavily depends on the boundary conditions of the beam.

Abstract This paper presents the buckling and free vibration analyses of axially functionally graded graphene reinforced nanocomposite (AFG-GPLRC) beams. Graphene platelets (GPLs) are uniformly or non-uniformly dispersed into the composite matrix as nanofillers according to five different distribution patterns (namely, UD, AFG-X, AFG-O, AFG-A, AFG-V) along the beam axial length. The effective material properties are approximated by using the improved Halpin-Tsai micromechanics model and the rule of mixture. Governing differential equations of AFG-GPLRC beams are derived based on the state-space method in the framework of Euler-Bernoulli beam theory, and then solved with the approximate laminated model (ALM) to obtain analytical solutions of critical buckling loads and natural frequencies. The present analysis is validated against the existing solutions. A comprehensive parametric study is carried out to scrutinize the effects of GPL distribution patterns, weight fraction, and geometric parameters on the buckling and free vibration behaviors of AFG-GPLRC beams.