频率修正在超声变幅杆设计中的研究与应用
Study and Application of Frequency Correction in Ultrasonic Horn Design

超声变幅杆在沿轴线方向作纵向振动时，由于存在泊松效应，纵向振动会引起变幅杆沿径向方向的横向振动。传统变幅杆在设计过程中，忽略横向振动的影响则会导致计算出的谐振频率高于实际频率。为了让变幅杆理论设计谐振频率与实际频率相符合，分别对简单圆柱杆和阶梯形变幅杆进行研究，推导出常用半径比范围内简单阶梯形变幅杆的频率修正公式，使其满足设计和使用要求，并可以减少能量传输过程中的能量损耗。
Due to the influence of Poisson Effect existing in the vibrations of ultrasonic horn along the vertical axis, the horizontal vibrations in the radial directions of horn is caused. Usually in the process of traditional acoustic horn design, the horizontal vibrations are ignored, which results the value of the calculated frequency in theory higher than the actual resonant frequency. In order to make the designed theoretical frequency consistent with actual resonant frequency, the paper studied the cylindrical rod and the simple stepped ultrasonic horn respectably. In the common radius ratios range, the formulas about frequency correction were obtained. Applying the correction coefficient in the design process, the requirements of system design and usage are satisfied, and the energy loss in the energy conservation process is efficiently reduced