Mechanical Performances of Piezoelectric Element and Optimal Control

On the basis of performances of the piezoelectric actuators and sensors,the characteristics of beam with highly distributed piezoelectric sensors and actuators and a feedback conditioning system are analyzed,and the dynamic differential equation is also derived.A finite element model of the intelligent beam has been formulated to derive the differential equation.Having obtained the basic theories of the intelligent beam,both the first mode and the second mode of the cantilever beam and the simple supported beam are analyzed and calculated to determine the appropriate criteria for placing the actuator.Characteristics related to the location for the actuator placement are also developed and illustrated.The choice of actuator location is on the assumption that the actuator and sensor have no length,so the location of actuator that has length is also studied.