Dynamic Response Control of Piezoelastic Laminated Cylindrical Shells Under Hydrostatic Pressure

Abstract

Based on classical laminated plate theory and Navier solutions, the control of the piezoelastic laminated cylindrical shell’s dynamic response under hydrostatic pressure is discussed in this paper. Considering the direct and inverse piezoelectric effects of piezoelectric materials and from Hamilton’s principle, the nonlinear dynamic equations of the piezoelastic laminated cylindrical shell are derived first. Using close circuit method, the charge enclosed in the piezoelectric sensor layer can be measured. Furthermore, the voltage applied on the actuator layer can be obtained based on the closed-circuit charge signal of the sensor and velocity negative feedback control algorithm. An active dynamic response control model of simply supported laminated cylindrical shells with piezoelectric sensor/actuator under various dynamic loads is established in this paper at last. Three types of loading conditions, namely sinusoidal distributed load, line load and moving point load, are considered in numerical examples to investigate the performance of the control model. The numerical results show that the active control model presented in this paper can suppress the vibration of the structure under dynamic loading effectively.