中文摘要：

对弓型压电片作动器（APA）和Ⅱ型压电堆作动器（PISA）两种新型压电作动器在振动控制中的应用进行了研究，并给出了两作动器的输出作动弯矩与驱动电压的关系式。将它们应用于一垂尾模型的第1阶弯曲（一弯）和第1阶扭转（一扭）模态响应控制中，建立了该压电主动振动控制系统的状态空间模型，采用二次最优控制（LQR）策略设计控制器，并进行了控制系统的闭环仿真。结果表明，APA在垂尾模型一弯一扭模态控制中的性能优于PISA。

英文摘要：

The applications of two novel bending piezoelectric actuators, that is the arching PZT patch actuator （APA） and II（pi）shape PZT stack actuator（PISA）, to the vibration control have been studied in this paper. The relational expressions between the actuating moment and the driving voltage of the these two actuators have also been presented. The relational expressions have been applied to the first-order bending（first bending） and the first-order torsion（first torsion） mode response in a fin model. The state space model of this piezoelectric active vibration control system has been established by the thermal analogy modeling method. Linear quadratic regulator （LQR） control algorithm was used to design the controller. Loop simulation of the active vibration control system was conducted and the results demonstrateed that APA show better performance than PISA in the vibration control of the first bending and torsion modes control of the fin model.