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Efficient and accurate worm grinding of spur face gears according to an advanced geometrical analysis and a closed-loop manufacturing process

基于几何分析和闭环制造工艺的高效高精直齿面齿轮蜗杆磨削

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Abstract

Worm grinding has been applied to manufacture gears to pursue high accuracy and fine surface finish. When the worm used to grind face gears is manufactured with multi-axis computer numerical control (CNC) machining, the machining accuracy is usually improved by increasing the number of tool paths with more time cost. Differently, this work proposes a generated method to improve the efficiency by dressing the worm surface with only one path, and a closed-loop manufacturing process is applied to ensure the machining accuracy. According to an advanced geometric analysis, the worm surface is practically approximated as a swept surface generated by a planar curve. Meanwhile, this curve is applied as the profile of a dressing wheel, which is used to dress the worm surface. The practical machining is carried out in a CNC machine tool, which was originally used to grind helical gears. Finally, a closed-loop manufacturing process including machining, measurement, and modification is proposed to compensate the machining errors. The proposed method is validated with simulations and practical experiments.

摘要

蜗杆磨削工艺广泛应用于齿轮制造过程以获得较高的加工精度及表面质量。在多轴数控机床上 进行蜗杆磨面齿轮时, 通常需采用增加刀具路径数目的方法来提高加工精度, 也相应地延长了加工时 间。本文提出了一种仅用一条路径的蜗杆齿面展成高效修整方法, 并采用闭环加工方法来保证加工精 度。首先, 对磨削直齿面齿轮的蜗杆齿面进行深度几何分析, 发现该蜗杆齿面可以近似为由平面曲线 形成的扫掠面。然后, 以该平面曲线作为金刚滚轮的齿廓来对蜗杆表面进行修整。接着, 在一台由斜 齿轮磨齿机数控改造得到的机床上进行了加工试验验证。最后, 提出了一种包括“加工、测量和反调 修正”的闭环制造工艺来补偿加工误差, 并且通过仿真和实验验证了该方法的有效性。

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References

  1. HEATH G, SLAUGHTER S C, FISHER D J, et al. Helical face gear development under the enhanced rotorcraft drive system program [R/OL] NASA/TM-2011-217125, 2011. https://ntrs.nasa.gov/api/citations/20120000867/downloads/20120000867.pdf.

  2. MO Shuai, YUE Zong-xiang, FENG Zhi-you, et al. Analytical investigation on load-sharing characteristics for multi-power face gear split flow system [J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2020, 234(2): 676–692.

    Google Scholar 

  3. MO S, GONG J, JIN G, et al. Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for high-performance face gear [J]. Science Progress, 2020, 103(1): 36850419881078. DOI: https://doi.org/10.1177/0036850419881078.

    Article  Google Scholar 

  4. MAPER A, KARUPPANAN S, PATIL S S. Analysis and formulation of spur gear stresses with different tip modifications [J]. Journal of Central South University, 2019, 26(9): 2368–2378. DOI: https://doi.org/10.1007/s11771-019-4180-x.

    Article  Google Scholar 

  5. LIU Chang, SHI Wan-kai, CURÁ F M, et al. A novel method to predict static transmission error for spur gear pair based on accuracy grade [J]. Journal of Central South University, 2020, 27(11): 3334–3349. DOI: https://doi.org/10.1007/s11771-020-4550-4.

    Article  Google Scholar 

  6. GUO Hui, GONZALEZ-PEREZ I, FUENTES-AZNAR A. Computerized generation and meshing simulation of face gear drives manufactured by circular cutters [J]. Mechanism and Machine Theory, 2019, 133: 44–63. DOI: https://doi.org/10.1016/j.mechmachtheory.2018.11.002.

    Article  Google Scholar 

  7. TANG Jin-yuan, YIN Feng, CHEN Xing-ming. The principle of profile modified face-gear grinding based on disk wheel [J]. Mechanism and Machine Theory, 2013, 70: 1–15. DOI: https://doi.org/10.1016/j.mechmachtheory.2013.06.013.

    Article  Google Scholar 

  8. WANG Yan-zhong, HOU Liang-wei, LAN Zhou, et al. Precision grinding technology for complex surface of aero face-gear [J]. The International Journal of Advanced Manufacturing Technology, 2016, 86(5–8): 1263–1272. DOI: https://doi.org/10.1007/s00170-015-8241-5.

    Article  Google Scholar 

  9. ZHOU Ru-chuan, ZHAO Ning, LI Wang, et al. A grinding method of face gear mating with a conical spur involute pinion [J]. Mechanism and Machine Theory, 2019, 141: 226–244. DOI: https://doi.org/10.1016/j.mechmachtheory.2019.07.013.

    Article  Google Scholar 

  10. SHEN Yun-bo, LIU Xuan, LI Da-yin, et al. A method for grinding face gear of double crowned tooth geometry on a multi-axis CNC machine [J]. Mechanism and Machine Theory, 2018, 121: 460–474. DOI: https://doi.org/10.1016/j.mechmachtheory.2017.11.007.

    Article  Google Scholar 

  11. STADTFELD H J. A new way of face gear manufacturing [EB/OL]. American Gear Manufacturers Association, 2010. https://www.agma.org.

  12. YANG Xiao-yu, TANG Jin-yuan. Research on manufacturing method of CNC plunge milling for spur face-gear [J]. Journal of Materials Processing Technology, 2014, 214(12): 3013–3019. DOI: https://doi.org/10.1016/j.jmatprotec2014.07.010.

    Article  Google Scholar 

  13. TANG Jin-yuan, YANG Xiao-yu. Research on manufacturing method of planing for spur face-gear with 4-axis CNC planer [J]. The International Journal of Advanced Manufacturing Technology, 2016, 82(5–8): 847–858. DOI: https://doi.org/10.1007/s00170-015-7417-3.

    Article  Google Scholar 

  14. ZHOU Yuan-sheng, WANG Sheng-hui, WANG Li-ming, et al. CNC milling of face gears with a novel geometric analysis [J]. Mechanism and Machine Theory, 2019, 139: 46–65. DOI: https://doi.org/10.1016/j.mechmachtheory.2019.04.009.

    Article  Google Scholar 

  15. ZHOU Yuan-sheng, CHEN Z C. A new geometric meshing theory for a closed-form vector representation of the face-milled generated gear tooth surface and its curvature analysis [J]. Mechanism and Machine Theory, 2015, 83: 91–108. DOI: https://doi.org/10.1016/j.mechmachtheory.2014.09.002.

    Article  Google Scholar 

  16. WANG Yan-zhong, CHU Xiao-meng, ZHAO Wen-jun, et al. A precision generating hobbing method for face gear with assembly spherical hob [J]. Journal of Central South University, 2019, 26(10): 2704–2716. DOI: https://doi.org/10.1007/s11771-019-4207-3.

    Article  Google Scholar 

  17. WANG Yan-zhong, SU Guo-ying, CHU Xiao-meng, et al. A finishing method for the continuous generation of spur face gears with shaving cutters [J]. International Journal of Mechanical Sciences, 2021, 190: 106020. DOI: https://doi.org/10.1016/j.ijmecsci.2020.106020.

    Article  Google Scholar 

  18. LITVIN F L, FUENTES A, ZANZI C, et al. Face-gear drive with spur involute pinion: Geometry, generation by a worm, stress analysis [J]. Computer Methods in Applied Mechanics and Engineering, 2002, 191(25, 26): 2785–2813. DOI: https://doi.org/10.1016/S0045-7825(02)00215-3.

    Article  Google Scholar 

  19. LITVIN F L, FUENTES A. Gear geometry and applied theory [M]. Cambridge: Cambridge University Press, 2004. DOI: https://doi.org/10.1017/cbo9780511547126.

    Book  Google Scholar 

  20. TAN Jie. Apparatus and method for precision grinding of face gears: US5823857 [P]. 1998-10-20.

  21. TAN Jie. Method for forming a grinding worm for forming a conical face gear that meshes with a conical involute pinion: US6951501 [P]. 2005-10-04.

  22. LITVIN F L, CHEN Y J, HEATH G F, et al. Apparatus and method for precision grinding face gear: US6146253 [P]. 2000-11-14.

  23. GUO Hui, ZHAO Ning, XIANG Yun-fei, et al. Face gear grinding method using six-axis CNC worm wheel machine [J]. Journal of Mechanical Engineering, 2015, 51(11): 186–194. DOI: https://doi.org/10.3901/JME.2015.11.186. (in Chinese)

    Article  Google Scholar 

  24. TANG Jin-yuan, CUI Wei, ZHOU Heng, et al. Integrity of grinding face-gear with worm wheel [J]. Journal of Central South University, 2016, 23(1): 77–85. DOI: https://doi.org/10.1007/s11771-016-3051-y.

    Article  Google Scholar 

  25. ZHOU Yuan-sheng, TANG Jin-yuan, ZHOU Heng, et al. Multistep method for grinding face-gear by worm [J]. Journal of Manufacturing Science and Engineering, 2016, 138(7): 071013. DOI: https://doi.org/10.1115/1.4033387.

    Article  Google Scholar 

  26. SHI Xian-lin, ZHOU Yuan-sheng, TANG Jin-yuan, et al. An innovative generated approach to dressing the worm for grinding spur face gears [J]. Manufacturing Letters, 2020, 25: 26–29. DOI: https://doi.org/10.1016/j.mfglet.2020.06.003.

    Article  Google Scholar 

  27. PIEGL L A, TILLER W. The NURBS book [M]. Springer Science & Business Media, 1997.

  28. SHI Xian-lin, ZHOU Yuan-sheng, ZHANG Wu-ji, et al. A new worm grinding method of face gears based on the optimization of dressing wheel profile [J]. Forschung Im Ingenieurwesen, 2019, 83(3): 751–757. DOI: https://doi.org/10.1007/s10010-019-00353-6.

    Article  Google Scholar 

  29. WANG Sheng-hui, ZHOU Yuan-sheng, TANG Jin-yuan, et al. An adaptive geometric meshing theory for the face-milled generated spiral bevel gears [J]. Forschung Im Ingenieurwesen, 2019, 83(3): 775–780. DOI: https://doi.org/10.1007/s10010-019-00323-y.

    Article  Google Scholar 

  30. ZHOU Yuan-sheng, WU Yuan-hang, WANG Li-ming, et al. A new closed-form calculation of envelope surface for modeling face gears [J]. Mechanism and Machine Theory, 2019, 137: 211–226. DOI: https://doi.org/10.1016/jmechmachtheory.2019.03.024.

    Article  Google Scholar 

  31. ZHOU Yuan-sheng, CHEN Z C, TANG Jin-yuan. A new method of designing the tooth surfaces of spiral bevel gears with ruled surface for their accurate five-axis flank milling [J]. Journal of Manufacturing Science and Engineering, 2017, 139(6): 061004. DOI: https://doi.org/10.1115/1.4035079.

    Article  Google Scholar 

  32. YI H, ZHOU Y, TANG J, et al. Simulations and error analysis of the CNC milling of a face gear tooth with given tool paths [J]. Data in Brief, 2019, 25: 104145. DOI: https://doi.org/10.1016/j.dib.2019.104145.

    Article  Google Scholar 

  33. ZHOU Yuan-sheng, CHEN Z C, TANG Jin-yuan, et al. An innovative approach to NC programming for accurate five-axis flank milling of spiral bevel or hypoid gears [J]. Computer-Aided Design, 2017, 84: 15–24. DOI: https://doi.org/10.1016/j.cad.2016.11.003.

    Article  MathSciNet  Google Scholar 

  34. LIU Si-yuan, SONG Chao-sheng, ZHU Cai-chao, et al. Investigation on the influence of work holding equipment errors on contact characteristics of face-hobbed hypoid gear [J]. Mechanism and Machine Theory, 2019, 138: 95–111. DOI: https://doi.org/10.1016/j.mechmachtheory.2019.03.042.

    Article  Google Scholar 

  35. DING Han, TANG Jin-yuan, ZHONG Jue. An accurate model of high-performance manufacturing spiral bevel and hypoid gears based on machine setting modification [J]. Journal of Manufacturing Systems, 2016, 41: 111–119. DOI: https://doi.org/10.1016/j.jmsy.2016.08.004.

    Article  Google Scholar 

  36. DING Han, WAN Zhi-gang, ZHOU Yuan-sheng, et al. A data-driven programming of the human-computer interactions for modeling a collaborative manufacturing system of hypoid gears by considering both geometric and physical performances [J]. Robotics and Computer-Integrated Manufacturing, 2018, 51: 121–138. DOI: https://doi.org/10.1016/j.rcim.2017.10.003.

    Article  Google Scholar 

  37. DING Han, TANG Jin-yuan, ZHONG Jue, et al. A hybrid modification approach of machine-tool setting considering high tooth contact performance in spiral bevel and hypoid gears [J]. Journal of Manufacturing Systems, 2016, 41: 228–238. DOI: https://doi.org/10.1016/j.jmsy.2016.09.003.

    Article  Google Scholar 

  38. LITVIN F L, KUAN C, WANG J C, et al. Minimization of deviations of gear real tooth surfaces determined by coordinate measurements [J]. Journal of Mechanical Design, 1993, 115(4): 995–1001. DOI: https://doi.org/10.1115/1.2919298.

    Article  Google Scholar 

  39. ARTONI A, GABICCINI M, GUIGGIANI M. Nonlinear identification of machine settings for flank form modifications in hypoid gears [J]. Journal of Mechanical Design, 2008, 130(11): 112602. DOI: https://doi.org/10.1115/1.2976454.

    Article  Google Scholar 

  40. DING Han, TANG Jin-yuan, ZHONG Jue. Accurate nonlinear modeling and computing of grinding machine settings modification considering spatial geometric errors for hypoid gears [J]. Mechanism and Machine Theory, 2016, 99: 155–175. DOI: https://doi.org/10.1016/j.mechmachtheory.2016.01.008.

    Article  Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, China

    Yuan-sheng Zhou  (周元生) & Jin-yuan Tang  (唐进元)

  2. College of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Yuan-sheng Zhou  (周元生), Zhong-wei Tang  (唐忠威), Xian-lin Shi  (石贤林) & Jin-yuan Tang  (唐进元)

  3. National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Zheng-min-qing Li  (李政民卿)

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  1. Yuan-sheng Zhou  (周元生)
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  3. Xian-lin Shi  (石贤林)
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Correspondence to Yuan-sheng Zhou  (周元生) or Zheng-min-qing Li  (李政民卿).

Additional information

Foundation item

Project(2019YFB2004700) supported by the National Key R&D Project of China; Project(HTL-O-19K02) supported by National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing University of Aeronautics and Astronautics, China

Contributors

ZHOU Yuan-sheng developed the overarching research goals and edited the draft of manuscript. TANG Zhong-wei conducted the literature review and wrote the manuscript. SHI Xian-lin validated the proposed method with practical experiments and wrote the first draft of manuscript. TANG Jin-yuan edited the manuscript. LI Zheng-min-qing edited the manuscript.

Conflict of interest

ZHOU Yuan-sheng, TANG Zhong-wei, SHI Xian-lin, TANG Jin-yuan and LI Zheng-min-qing declare that they have no conflict of interest.

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Zhou, Ys., Tang, Zw., Shi, Xl. et al. Efficient and accurate worm grinding of spur face gears according to an advanced geometrical analysis and a closed-loop manufacturing process. J. Cent. South Univ. 29, 1–13 (2022). https://doi.org/10.1007/s11771-021-4830-7

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  • DOI: https://doi.org/10.1007/s11771-021-4830-7

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