Abstract
A molecular structural mechanics method has been implemented to investigate thevibrational behavior of single-layered graphene sheets. By adopting this approach, modeshapes and natural frequencies are obtained. Vibrational analysis is performed withdifferent chirality and boundary conditions. Numerical results from the atomistic modelingare employed to develop predictive equations via a statistical nonlinear regression model.With the proposed equations, fundamental frequencies of single-layered graphene sheetswith considered boundary conditions can be predicted within 3% difference with respect tothe atomistic simulation.
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