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工程设计学报
工程设计学报  2015, Vol. 22 Issue (2): 172-177    DOI: 10.3785/j.issn. 1006-754X.2015.02.012
通用零部件设计     
齿轮超声加工大振幅纵弯谐振变幅器的设计
梁 欣1，吕 明1，王时英1，秦慧斌2
1．太原理工大学 机械工程学院，山西 太原 030024；
2．中北大学 机械与动力工程学院，山西 太原 030051
Design of longitudinal-flexural coupling vibration transformer with large amplitude used in gear ultrasonic machining
LIANG Xin1， LV Ming1， WANG Shi-ying1， QIN Hui-bin2
1． College of Mechanical Engineering， Taiyuan University of Technology， Taiyuan 030024， China; 
2． School of Mechanical and Power Engineering， North University of China， Taiyuan 030051， China
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摘要： 为了使纵弯谐振变幅器的输出振幅满足齿轮超声加工的要求，设计了一个带有级联变幅杆的变幅器.利用Mindlin中厚板理论，根据变幅杆各段的力和位移耦合条件、变幅杆与齿轮的力和位移耦合条件、边界条件，推导出变幅器的频率方程和位移方程，实现了变幅器的设计，并求得变幅器的振幅分布曲线．通过理论求解、有限元软件ANSYS进行模态分析和谐响应分析、变幅器谐振特性试验分析变幅器的动力学特性，得出三者的结果一致，齿轮分度圆处的振幅为12 μm，较常用的变幅器有了较大的提高，满足了齿轮超声加工的需求．
关键词： 齿轮超声加工;  纵弯谐振;  变幅器;  大振幅    
Abstract: To obtain a longitudinal-flexural coupling vibration transformer with large amplitude which met the requirements of gear ultrasonic machining, a transformer with cascades horn was designed. Based on the Mindlin‘s theory, according to the force and displacement coupling conditions between each part of the horn, between the horn and gear, and the boundary conditions, the frequency equation and the displacement amplitude equation were achieved. Then the transformer was designed and the amplitude distribution curve was obtained. The dynamic characteristics of the transformer got by mode and harmonic response analysis with the help of ANSYS were consistent with both the theoretical solution and the resonance characteristic experiment. The amplitude at the pitch circle of the gear was 12 μm, which was larger than that of the ordinary transformer and met the requirements of gear ultrasonic machining.
Key words: gear ultrasonic machining    longitudinal-flexural coupling vibration    transformer    large amplitude
收稿日期: 2014-08-21 出版日期: 2015-04-28
基金资助:

国家自然科学基金资助项目（50975191）；山西省研究生优秀创新项目（20133042）．
作者简介: 梁欣（1989－），男，河南南阳人，硕士生，从事齿轮精密制造理论与技术研究，E-mail：liangxin522@163．com． 吕明（1957－），男，教授，博士生导师，从事齿轮精密制造理论与技术研究，E-mail：lvming@tyut．edu．cn．
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引用本文:

梁 欣，吕 明，王时英，秦慧斌. 齿轮超声加工大振幅纵弯谐振变幅器的设计[J]. 工程设计学报, 2015, 22(2): 172-177.

LIANG Xin， LV Ming， WANG Shi-ying， QIN Hui-bin. Design of longitudinal-flexural coupling vibration transformer with large amplitude used in gear ultrasonic machining. Chinese Journal of Engineering Design, 2015, 22(2): 172-177.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn. 1006-754X.2015.02.012    或    https://www.zjujournals.com/gcsjxb/CN/Y2015/V22/I2/172

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[2] 佘银柱, 吕 明, 王时英. 超声珩齿中弯曲振动变幅器的设计与研究[J]. 工程设计学报, 2011, 18(6): 471-476.