Study on Frequency Correction in Ultrasonic Horn Design

When the acoustic horn vibrates longitudinally, due to the influence of Poisson effect of elastic deformation, the longitudinal vibration along axis will arouse the transverse vibration along the radial direction. In the traditional design progress of acoustic horn, the transverse vibration is ignored usually, and it results that the actual resonant frequency is lower than the theoretical resonant frequency. To make the theoretical resonant frequency corresponding with the actual resonant frequency, the transverse vibration is taken into account, then the correctional frequency formulas are deduced in the common radius ratios range. Simulation experiment is made by finite element method, the result shows that the frequency correction coefficient can improve the accuracy and efficiency for ultrasonic horn design.