This study aims to evaluate the nonlocal small scale parameter for large amplitude vibration of single layered
graphene sheets (SLGSs) comparing nonlinear resonant frequencies obtained via nonlocal continuum and
molecular dynamics (MD) simulations. Nonlinear governing equations of motion are numerically solved
employing the pseudo-spectral method to obtain the frequency response. Results reveal that the calibrated
small scale parameter decreases when the vibration amplitude increases. Also, from MD simulations it is
seen that for all length sizes after an ultimate vibration amplitude around 31% length size, the graphene
sheets start to fracture.