本文证明了压电陶瓷夹心式换能器的机械输入端和输出端的阻抗关系可表为Mbius 变换.讨论了 Mbius 变换分析方法对有载换能器的应用,并用谐振参数方程计算了有不同纯抗负载时换能器谐振频率的变化.实验结果与理论计算符合较好. This paper proves that the impedance relationship between the mechanical input end and the output end of the piezoelectric ceramic sandwich transducer can be expressed as Mbius transformation.The application of Mbius transform analysis method to the on-load transducer is discussed and the resonance parametric equation is used to calculate The resonant frequency of the transducer with different purely anti-load changes is obtained.The experimental results are in good agreement with the theoretical calculation.