Out-of-plane vibration of laminated FG-GPLRC curved beams with piezoelectric layers

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. •Formulating out-of-plane vibration of FG-GPLRC and piezoelectric layered curved beam.•Considering the torsional and bending rotary inertia and transverse shear deformation.•Employing the DQM for the layered FG-GPLRC curved beam with different end conditions.•Studying the effects of GPLs distribution patterns and weight fraction on frequencies.