Nanoscale vibration analysis of embedded multi-layered graphene sheets under various boundary conditions

► Development of the Reissner-Mindlin plate model for the free vibration of multi-layered GSs. ► Consideration of various boundary conditions in a layerwise manner. ► Implementation of the generalized differential quadrature method to solve the problem. ► Giving some physical interpretations on vibrational characteristics of multi-layered GSs. ► Derivation of explicit expressions for the frequencies of simply-supported double-layered GSs.