▎ 摘　　要

This paper is devoted to presenting theoretical modeling for a novel nano-mass sensor system composed of smart core integrated with graphene layers in its top and bottom surfaces. The smart core is made of a functionally graded (FG) magneto-electro-elastic (MEE) nanofilm. On the basis of the nonlocal strain gradient theory and first-order shear deformation plate theory, the size-dependent governing equations for this graphene/FG-MEE/graphene nanofilm based nano-mass sensor system are derived. The frequency shift behavior of this system is investigated with consideration of different distribution configurations, different attaching locations, and different total masses of the attached nanoparticles. Furthermore, the influences of graphene faces, FG index of the MEE core, nonlocal and strain gradient parameters, as well as external electric and magnetic potentials on the frequency shift behavior of the nanoscale mass sensor are examined in detail. Significant enhancement of the frequency shift and frequency shift ratio can be observed for the nano-mass sensor system by covering graphene in the top and bottom surfaces of FG-MEE nanofilm. The theoretical model and conclusion presented in this paper may serve as an inspiration to researchers for exploiting nanoscale mass sensors with high sensitivities.