Abstract
In this paper, control of the transient deformation of a piezoelastic beam with a closed-loop control system subjected to dynamic change in the mechanical environment is studied considering the effect of damping. 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 the 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 serves as an actuator to suppress it. The analytical solution of the transient deflection is formulated based on the classical laminate theory and the equation of motion considering the effect of damping. Using numerical examples, suppression of the deflection due to mechanical disturbance by a series of pulses of electrical voltage is examined. Appropriate parameters, such as the gain, the sensing time and the duration and number of pulses, of the control procedure to suppress the deflection are found. Moreover, the optimized combination of the initial time and duration of a pulse under a fixed gain is obtained by direct exploration.