SENSOR/ACTUATOR EQUATIONS FOR CURVED PIEZOELECTRIC FIBERS AND VIBRATION CONTROL OF COMPOSITE BEAMS USING FIBER MODAL ACTUATORS/SENSORS

Vibration control of the composite beam integrated with curved piezoelectric fibers is investigated. Sensory and actuating equations of the curved piezoelectric fibers embedded in a composite slender beam are derived, and expressed in terms of line integrals. In addition, a new method for designing fiber modal sensors and modal actuators is presented by means of modulating the shapes of the curved piezoelectric fibers. The curvature shape of each modal sensor/actuator fiber can be determined by solving a differential equation. For a slender beam, an approximate solution is given. Based on the modal sensor fibers and modal actuator fibers, the modal control of the composite beam is performed independently. Finally, an illustrated example is given in which the effects of the curvatures of the fibers on the sensing signals are discussed.