Vibration control simulation of laminated composite plates with integrated piezoelectrics

Abstract

A finite element formulation is presented to model the dynamic as well as static response of laminated composite plates containing integrated piezoelectric sensors and actuators subjected to both mechanical and electrical loadings. The formulation is based on the classical laminated plate theory and Hamilton's principle. In this formulation, the mass and stiffness of the piezo-layers have been taken into account. A four-node non-conforming rectangular plate bending element is implemented for the analysis. A simple negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects is used to actively control the dynamic response of an integrated structure through a closed control loop. The model is validated by comparison with existing results documented in the literature. Several numerical examples are presented. The influence of stacking sequence and position of sensors/actuators on the response of the plate is evaluated.