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工程设计学报
Chinese Journal of Engineering Design  2015, Vol. 22 Issue (2): 172-177    DOI: 10.3785/j.issn. 1006-754X.2015.02.012
    
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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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     
Received: 21 August 2014      Published: 28 April 2015
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Cite this article:

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.

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


齿轮超声加工大振幅纵弯谐振变幅器的设计

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 
[1] WANG Ying-long, LIU Ai-lian, ZHAI Shao-lei, ZHU Quan-cong, GU Hong-bo, LI Chuan. Research on application of fundamental wave extraction algorithm based on adaptive frequency tracking[J]. Chinese Journal of Engineering Design, 2018, 25(1): 56-61.
[2] QIN Hui-Bin, LV Ming , WANG Shi-Ying, SHE Yin-Zhu. Design and experiment research of longitudinal vibration system in gear ultrasonic machining[J]. Chinese Journal of Engineering Design, 2013, 20(2): 140-145.
[3] SHE Yin-Zhu, LV Ming , WANG Shi-Ying. Research and design of bending vibration transformer in ultrasonic gear honing[J]. Chinese Journal of Engineering Design, 2011, 18(6): 471-476.