Active Control of Laminated Plates Using a Piezoelectric Finite Element

The aim of this work is to develop a simple and very efficient tool to simulate the active control of laminated plates, and in a next step, to optimize the geometry and number of sensors and actuators. A new piezoelectric Finite Element is presented. It is an eight node plate with one electrical potential degree of freedom for each interface of piezoelectric layers. The usual FSDT theory is combined with a “field compatibility” methodology to avoid the transverse shear locking for thin plates. A LQR control method including a state observer is used to compute the control. Four examples are presented. The quasi-static correction and the use of collocated sensor/actuator are discussed.