Distributed vibration sensing and control of a piezoelectric laminated curved beam

The distributed vibration sensing and control of a piezoelectric laminated curved beam are studied. The mathematical model of a curved beam with a distributed piezoelectric sensor and actuator is formulated first, followed by vibration analysis. This model provides estimates of the sensor signal, actuator-induced membrane force, and actuator-induced bending moment, as well as predicting the controlled damping ratio and dynamic response. The sensor sensitivity with various sensor thicknesses is studied and compared. The effectiveness of active damping controls is evaluated with respect to different beam thickness, and sensor/actuator thickness. Numerical examples are provided and simulation results are discussed.