Finite element method for the feedback control of FGM shells in the frequency domain via piezoelectric sensors and actuators Original Research Article

An attempt on the dynamic control of functionally graded material (FGM) shells in the frequency domain is carried out by using self-monitoring sensors and self-controlling actuators. Based on the first-order shear deformation theory (FSDT), a generic finite element formulation is developed to account for the coupled mechanical and electrical responses of FGM shells with piezoelectric sensors and actuator layers. The properties of the FGM shells are graded in the thickness direction according to a volume fraction power-law distribution. A constant displacement and velocity feedback control algorithm is applied in a closed loop system to provide feedback control of the integrated FGM shell structure. Numerical simulations are presented to show that mode shapes and resonance frequencies can be controlled by adjusting the displacement control gain, and that the resonance amplitude peaks can be very significantly reduced by providing an appropriate velocity feedback control.