As a first endeavour, the out-of-plane vibration characteristics of laminated functionally graded graphene platelets reinforced composite (FG-GPLRC) curved beams bonded by piezoelectric layers are investigated. The displacement components are approximated through the beam thickness direction based on the first-order shear
deformation theory (FSDT). Accordingly, the shear deformation and rotary inertia effects due to both the torsional and flexural deformations are considered. The effective mechanical properties of the nanocomposite layers are estimated using the modified Halpin-Tsai model. The governing equations are derived by employing
Hamilton’s principle, which are discretized in the spatial domain using the differential quadrature method (DQM). After validating the approach, some useful results are provided which can be used for future researches. In this regards, the effects of graphene platelets (GPLs) distribution patterns, GPLs weight fraction and dimensions, number of GPLs reinforced layers, piezoelectric layer thickness, the curved beam geometric parameters and boundary conditions on the vibrational characteristics of the laminated FG-GPLRC curved beams embedded in piezoelectric layers are studied.