Nonlinear vibrations of piezoelectric multi-scale hybrid nanocomposite sandwich plates with a negative Poisson ratio core

Smart hybrid meta-nanomaterials are realized through the integration of functionally graded graphene origami auxetic (FG-GOA), hybrid nanocomposite, with smart layers. This study applies the Higher-Order Shear Deformation Theory (HSDT) to investigate the nonlinear vibration of a novel piezo-electrically composite plate that is constructed with FG-GOA center and smart porous multi-scale hybrid nanocomposite (SPHNC), like Graphene Platelets (GPLs), Carbon Fibers (CF) and Polyvinylidene Fluoride (PVDF), for layers. To find out the equations that control the smart FG-GOA plate, the Generalized Differential Quadrature Method (GDQM) is implemented in order to solve the mathematical model of smart FG-GOA plates. In addition, the nonlinear frequency ratio and dynamic properties of the SPHNC are measured. Furthermore, the impact of the porosity parameter, the height of the FG-GOA core, and the height of the SPHNC layer have been investigated and shown in each figure.