On control of thin cylindrical shells using piezoelectric film actuators

摘要

This paper considers the dynamic of thin cylindrical shells and presents analytical investigation and simulation results involving implementation of piezoelectric film actuators to control their vibrations. Using Hamilton's principle and modal discretization, a mathematical model of the dynamics of the cylindrical shell is developed. Then, considering the interaction betweent he cylinder and these film actuators,t he mathematical model of the actuators is formulated Utilizing the pole-placement technique as well as the Linear Quadratic Regulator (LQR) algorithm, feedback control laws are developed. Considering arbitrary initial conditions, the response of the state variables as well as the control effort for various shapes of piezoelectric film actuators are simulated. It is noted that which shape is preferrable depends on the flexural rigidity of the shell.