ACTIVE VIBRATION CONTROL OF A SMART PLATE

Abstract

Active vibration control and using piezoelectric sensors and actuators have recently emerged as a practical and promising technology. Efficient and accurate modeling of these structures bonded to or embedded with actuators and sensors is needed for efficient design of smart structures. This dissertation addresses the modeling of these structures and the associated control system design technique. - For piezoelectric laminates the governing equations of motion are derived using First Order Shear Deformation Theory (FSDT) and the dynamic response fields inside the laminate are obtained. A finite element approach for design of a structure and its control system for suppressing vibration is presented. A finite element model for a smart plate with surface bonded piezoelectric patches is developed using a quadratic rectangular element. Genetic algorithms are used to approximate the optimum locations of the piezoelectric actuators over a plate. The objective function for the genetic algorithm is taken as the energy dissipated by the controller. The modal analysis is carried out to establish the dynamic characteristics of the system before and after the application of actuators