Active vibration control of GPLs-reinforced FG metal foam plates with piezoelectric sensor and actuator layers

This paper investigates free vibration and dynamic responses of smart FG metal foam plate structures reinforced by graphene platelets (GPLs). We then analyze active control of FG metal foam plates with piezoelectric sensor and actuator layers. To provide numerical solution of underlying problems, we develop a computational approach based on a generalized C-0-type higher-order shear deformation theory (C-0-HSDT) polygonal finite element formulation (PFEM), which is suitable for modeling both thick and thin plates. To enhance accuracy of solution, we use in PFEM quadratic serendipity shape functions in combination with a generalized C-0-HSDT. The FG core layers are constituted by combining between two porosity distributions and three GPL dispersion patterns distributed along the plate's thickness while two piezoelectric layers are perfectly bonded on the both bottom and top surfaces of host plate. The mechanical displacement field is approximated based on C-0-HSDT while the electric potential distribution through the thickness for each piezoelectric layer is assumed to be a linear function. For active control, a constant velocity feedback scheme is employed through a closed loop control with piezoelectric sensors and actuators. The effect of the porosity coefficient, weight fraction of GPLs on the plate's behaviors with various porosity distributions and GPL dispersion patterns are evidently demonstrated through numerical examples.