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为解决超声珩齿振动系统的设计问题,将齿轮简化为厚环盘,基于变截面变幅杆纵向振动波动方程和中厚圆环板弯曲振动位移方程,根据中间有孔圆锥型变幅杆与中厚圆环组成的新型超声珩齿变幅器的非谐振性和边界条件,推导出了系统谐振频率方程,利用数值计算分析了变幅器的几何参数对系统谐振频率的影响。通过有限元分析得出变幅器的谐振频率与理论计算结果基本一致。在此基础上,对设计的变幅器进行了动力学试验,测得的动力学参数与理论结果一致,其结果不仅证实了非谐振理论的正确性,而且为超声珩齿变幅器的设计和应用提供了理论依据。
In order to solve the design problem of the ultrasonic honing vibration system, the gear is simplified as a thick ring disk. Based on the longitudinal vibration wave equation of the variable section horn and the bending vibration displacement equation of the thick ring plate, This paper deduces the system resonant frequency equation and analyzes the influence of geometric parameters of the horn on the resonant frequency of the system. Finite element analysis shows that the resonant frequency of the horn is basically the same as the theoretical calculation. On this basis, the dynamic experiment of the designed horn was carried out. The measured kinetic parameters are consistent with the theoretical results. The results not only confirm the correctness of the non-resonant theory, but also design the ultrasonic horning horn And provide a theoretical basis for the application.