Finite element formulation of laminated plate with flexible piezoelectric actuators and vibration control analysis

Abstract

The use of surface bonded (MFC) and embedded (SAFC) piezoelectric composite actuators is examined through a numerical study. Modelling schemes are therefore developed by applying the isoparametric finite element approach to idealize normal strain to electric field and shear strain to electric field relations. A four noded coupled finite element is developed to compute the electro-mechanical responses of the active plate. A linear quadratic regulator is employed to perform the active vibration control studies. The system matrices of the smart plate structure are obtained and used in the state-space control model. Two elastic modes are considered, namely bending and torsion of the active plate. The emphasis is given to evaluate the performance of two different kinds of flexible piezoelectric actuators in vibration control application.