Vibration Control Analysis Of Piezoelectric Smart Beams Using Impedance Method

Because of the effective transformation between mechanical energy and electrical energy, piezoelectric materials have been used in all kinds of engineering fields as actuators and sensors. Piezoelectric material often have been bonded to the controlled soft structure into an organic whole, as sensors and actuators, in order to achieve the goal to inhibit the vibration of the controlled structure. Therefore, the piezoelectric smart structure vibration and control has important scientific significance and practical value.Based on electromechanical coupling characteristics between piezoelectric materials and host structure, the impedance matrices of the piezoelectric intelligent beam structure in the Laplace transform form have been derived. The method to build the frequency response numerical model has been studied, and the system’s dynamic response can be calculated using this model. The performance of the piezoelectric beam control system has been studied under the velocity negative feedback controller; the system’s dynamic performances by PPF controller under different system inputs also have been calculated; the effect of the control system under different system parameters has been studied too. The calculation results show that the model can be effectively combined with all kinds of control strategy to research piezoelectric beam vibration control. At last, the TF model has been tried to establish under the model of the impedance matrix, the method could get a good result for the single elements of the matrices, for the piezoelectric beam composed of many impedance units, this method can get part of the modal frequencies, so, this method need further research.