Optimal vibration control of multi-layer micro-beams actuated by piezoelectric layer based on modified couple stress and surface stress elasticity theories

Abstract

In this study, active optimal vibration control of a micro-beam integrated with piezoelectric actuator and sensor based on modified couple stress and surface stress elasticity theories are investigated. The modified couple stress and surface stress elasticity theories are taken into account to consider the small-scale effects due to the high surface-to-volume ratio. The effects of the independent material length scale on the resonant vibration characteristics of the structure are analyzed. Furthermore, the effect of the simulation model based on modified couple stress of a closed-loop velocity feedback optimal controller on dynamic response time and piezoelectric control voltage were compared with those of the classical model. The results indicate that the small material length scale considering in the modified couple stress theory plays a key role in the dynamic respond and vibration control of micro-beam integrated with piezoelectric layers. In addition, the results illustrate that time respond to model increases and vibration amplitude decreases faster by using the modified couple stress theory.