Control of the transient deformation of a piezoelastic beam with a closed-loop controlsystem subjected to mechanical disturbance considering the effect of damping

Abstract

In this paper, control of the transient deformation of a piezoelastic beam with a closed-loopcontrol system subjected to dynamic change in the mechanical environment is studiedconsidering the effect of damping. The analytical model is a symmetric cross-ply laminatedbeam composed of fiber-reinforced laminae and two piezoelectric layers. The beam issimply-supported at both edges, and is subjected to mechanical disturbance. To suppressthe dynamic deformation due to the disturbance, the beam is subjected to the closed-loopcontrol procedure in which one of the piezoelectric layers serves as a sensor to detect thedeformation due to the disturbance and the other serves as an actuator to suppress it. Theanalytical solution of the transient deflection is formulated based on the classical laminatetheory and the equation of motion considering the effect of damping. Using numericalexamples, suppression of the deflection due to mechanical disturbance by a series of pulsesof electrical voltage is examined. Appropriate parameters, such as the gain, thesensing time and the duration and number of pulses, of the control procedureto suppress the deflection are found. Moreover, the optimized combination ofthe initial time and duration of a pulse under a fixed gain is obtained by directexploration.