▎ 摘　　要

In this paper, computationally efficient multiscale modelling considering material and geometric nonlinearities is employed for the first time to investigate the dynamic response of single layer graphene sheets under harmonic excitation. The constitutive relation at continuum level is derived from a strain energy density function as Tersoff-Brenner atomic interaction potential per unit area of a unit cell through Cauchy-Born rule. The governing equation of motion obtained using Hamilton's principle is solved using Newmark's direct time integration and shooting techniques to obtain steady state periodic response. The effects of material and geometric nonlinearities, size of the graphene sheet, boundary conditions, damping and loading parameters on the natural frequencies/response characteristics are investigated. The dynamic response depicts hardening nonlinearity with the dominant effect of geometric nonlinearity compared to material nonlinearity. (C) 2016 Elsevier Masson SAS. All rights reserved.