Active control of shallow spherical shells using piezoceramic sheets

摘要

Abstract: This paper considers analysis and simulation of the dynamics and control of the elastic vibrations of a shallow spherical shell. Active control is carried out using piezoceramic materials (PZT, i.e. Lead Zirconate Titanate) as actuators. By using Galerkin's method and modal discretization, a mathematical model of the dynamics of the spherical shell is developed. The generalized forces produced by the actuators are determined considering the interaction between the shell structure and the PZT actuators via the principle of virtual work. Feedback control is carried out using two methods namely, LQR and Velocity Feedback methods. The effects of unmodeled modes and physical parameter uncertainty on the control performance of the system are investigated.!29