为了解决齿轮超声加工振动系统的设计问题,将齿轮简化为环盘,根据环盘及变幅杆的力耦合条件、边界条件及动力学方程,推导了非谐环盘及变幅杆组成的变幅器的频率方程,并利用其设计了变幅器,实验证明:变幅器的谐振频率与理论设计结果基本一致。该理论方法使变幅器由全谐振设计拓展到非谐振设计。 In order to solve the design problem of the vibration system of gear ultrasonic machining, the gear is simplified as a ring disk, and according to the force coupling conditions, the boundary conditions and the dynamic equations of the ring disk and the horn, the composition of the non-harmonic ring disk and the horn is derived Frequency equation of the amplitude, and use it to design a horn, the experiment shows that: the resonance frequency of the horn and the theoretical design results are basically the same. The theoretical approach extends the range of full-resonant designs to non-resonant designs.