▎ 摘　　要

The small scale effect on the vibration analysis of orthotropic single layered graphene sheets (SLGS) is studied Elastic theory of the graphene sheets is reformulated using the nonlocal differential constitutive relations of Eringen The equations of motion of the nonlocal theories are derived for the graphene sheets Differential quadrature method (DQM) is employed to solve the governing differential equations for various boundary conditions Nonlocal theories are employed to bring out the small scale effect of the nonlocal parameter on the natural frequencies of the orthotropic graphene sheets Further effects of (1) nonlocal parameter (ii) size of the graphene sheets (III) material properties and (iv) boundary conditions on nondimensional vibration frequencies are investigated (C) 2010 Elsevier Ltd All rights reserved