Control of Dynamic Deformation of a Piezoelastic Beam Subjected to Mechanical Disturbance by Using a Closed-Loop Control System

Abstract

In this paper, the control of dynamic deformation of a piezoelastic beam subjected to dynamic changes in a mechanical environment by using a closed-loop control system is studied. The analytical model is a symmetric cross-ply laminated beam composed of fiber-reinforced laminae and two piezoelectric layers. The beam is simply-supported at both edges and is subjected to mechanical disturbance. To suppress the dynamic deformation due to the disturbance, the beam is subjected to a closed-loop control procedure in which one of the piezoelectric layers serves as a sensor to detect the deformation due to the disturbance and the other acts as an actuator to suppress it. The analytical solution of the dynamic deflection is formulated based on the classical laminate theory. Using numerical examples, the suppression of the deflection due to mechanical disturbance by a series of electric voltage pulses is examined. The effects of the parameters of the control procedure, such as the gain, sensing time, and duration and frequency of pulses, on the suppression of the deflection are investigated, and the appropriate values are obtained for them.