Sensing and Control of Cylindrical Shells

Abstract

Generic theories for distributed convolving modal sensors and actuators have been proposed in Chapter 8. In this chapter, distributed piezoelectric sensors and actuators designed for structural sensing and control of cylindrical shells are presented. Free vibration analysis of cylindrical shells is presented first and then distributed sensing and control via distributed piezoelectric sensors and actuators. Detailed electromechanics and performances of the sensors and actuators laminated on the cylindrical shells are discussed (Zhong, 1991). Note that there are three cylindrical shells discussed in this chapter: 1) a piezoelectric cylindrical shell, 2) an elastic cylindrical shell, and 3) a laminated cylindrical shell. The differences between the first two cases are: 1) the electric and electromechanical coupling terms and 2) a charge equation of electrostatics. The laminated cylindrical shell is made of an elastic shell whose inner and outer surfaces are laminated with distributed piezoelectric layers. These piezoelectric layers are used as a distributed sensor and an actuator respectively.