DYNAMICS RESPONSE CONTROL MODEL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL UNDER HYDROSTATIC PRESSURE

Based on the classical laminated plate theory and Navier solutions, the control of the piezoelastic laminated cylindrical shell's dynamic response under hydrostatic pressure was discussed in this paper. Considering the direct and inverse piezoelectric effects of piezoelectric materials and using Hamilton's principle, the nonlinear dynamic equations of the piezoelastic laminated cylindrical shell were derived first. Using the close circuit method, the charge enclosed in the piezoelectric sensor layer was measured. Furthermore, the voltage applied on the actuator layer was 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 was established at last. Three types of loading conditions, namely, sinusoidally distributed load, line load and moving point load, were considered in numerical examples to investigate the performance of the control model. The numerical results show that the active control model can suppress the vibration of the structure under dynamic loading effectively.