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推导出不存在外缘剪应力极大点的扭振超声变幅杆─－１／４波长双曲正割型杆，以此为基础组成半波长复合杆，另外１／４波长杆可以是圆柱型、指数型、类圆锥型、类悬链线型或类余弦型。对一些复合杆的谐振频率和放大系数进行了实验验证，实验结果与理论值基本一致。复合杆具有放大系数大，输人阻抗随工作频率偏移变化小，不存在外缘剪应力极大点，可输出的扭振能量大大高于同种材料的其它类型杆等一系列优点，因而对于大功率超声领域是非常有用的。
Deduced the torsional vibration ultrasonic horn ─ ─ 1/4 wavelength hyperbolic secant bar without extremity shear stress point, based on which a half-wavelength composite rod is composed, the other 1/4 wavelength rod can be cylindrical Type, index type, conical type, catenary type or cosine type. The resonant frequency and amplification factor of some composite rods were experimentally verified, and the experimental results are basically consistent with the theoretical values. Composite rod with a large amplification factor, input impedance with small changes in operating frequency offset, there is no maximum point of edge shear stress, torsional vibration energy output is much higher than other types of rods of the same material and a series of advantages, and therefore For high-power ultrasound is very useful.