本文提出一种计算超声换能器和变幅杆组合件的数学模型,即将组合件按其形状进行分割成若干段,对单独的变幅杆亦可按其形状函数分为若干段。各段用网络等效,通过矩阵乘积简化成一个总等效四端网络,再由网络二端电学量,机械量的两两之商求得一系列性能参数。以一实例作了验证性计算,与常规的解析方法作了比较,获得了基本一致的结果。 In this paper, a mathematical model for calculating ultrasonic transducer and horn assembly is proposed. That is, the assembly is divided into several segments according to its shape. For a single horn, it can be divided into several segments according to its shape function. Each segment is equivalent to a network, and is simplified into a total equivalent four-terminal network by a matrix product. A series of performance parameters are obtained from the two-way quantity of electricity and the mechanical quantity of the network. An example is given as a confirmatory calculation, which is compared with the conventional analytical method and obtains basically the same result.