Continuously distributed control of plates by electric networks with PZT actuators

摘要

In this paper it is described a novel device aiming to control the mechanical vibrations of plates by means of a set of interconnected piezoelectric actuators. They are uniformly embedded in the plate and connect every node of an electric network to ground thus playing the two-fold role of capacitive element in the electric net and of couple suppliers. A mathematical model is introduced to describe the behavior of the system the time evolution of which is obtained as the solution of a system of partial differential equations. A self-resonance criterion is established which assures the possibility of electro-mechanical energy exchange. Finally the problem of vibration control in simply supported and clamped plates is addressed: the optimal net-impedance is determined. The results indicate that the proposed device can improve the performances of piezoelectric actuation.