Optimization of sizing, location and orientation of piezoelectric actuator-sensor pairs on composite plate

Abstract

Piezoelectric actuators and sensors have a wide range of application in the active vibration control of flexible structures. Control performances of the smart structures depend on the size and position of piezoelectric actuators and sensors on a smart structure. This paper deals with the optimization of sizing, location and orientation of piezoelectric actuators-sensors pairs on thin-walled composite plate. Optimization criteria are based on eigenvalues of the controllability Grammian matrix. The optimization problem is formulated by integration of finite element method based on the third-order shear deformation theory and the particle swarm optimization method. Numerical examples are provided for symmetric cross ply cantilever quadratic composite laminates. Linear quadratic regulator has been implemented for active vibration control of the composite plates with the optimized piezoelectric actuator-sensor pairs in order to show the efficiency of presented optimization method.