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Study on the grinding technology and measure method for planar enveloping hourglass worm

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Abstract

In order to accelerate the engineering application of planar enveloping hourglass worm drive, a grinding method of planar enveloping hourglass worm tooth surface is proposed. Based on the generating of planar enveloping hourglass worm tooth surface, the actual rotation center grinding principle is analyzed and the mathematical model of tooth surface is deduced. The novel virtual rotation center grinding principle for planar enveloping hourglass worm tooth surface is proposed based on the rigid body movement, and the movement control methods of the four motion axes are studied. The key technologies of tip relief and thickness control of planar enveloping hourglass worm tooth surface are provided, and an hourglass worm grinding machine structure is proposed based on the virtual rotation center grinding principle. A measuring method is presented to evaluate the tooth surface accuracy of planar enveloping hourglass worm, and the data gaining and data processing are studied. A planar enveloping hourglass worm sample is ground and a prototype is manufactured, as well as the accuracy measurement and performance test are carried at last. The results show that the tooth surface accuracy of this sample is up to level 5, while the short-period transmission error of this prototype is 21.7 arcsec, and this grinding method is correct and effective. This theoretical and experimental research lays the foundation for the industrial application of planar enveloping hourglass worm drive.

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References

  1. Crosher WP (2002) Design and application of the worm gear. ASME Press, New York

    Book  Google Scholar 

  2. Dudás I (2000) The theory and practice of worm gear drives. Penton Press, London

    Google Scholar 

  3. Wildhaber E (1966) Wildhaber worm drive, USA: US3386305

  4. Mohan LV, Shunmugam MS (2009) Geometrical aspects of double enveloping worm gear drive. Mech Mach Theory 44(11):2053-2065. https://doi.org/10.1016/j.mechmachtheory.2009.05.008

    Article  MATH  Google Scholar 

  5. Chen KY, Tsay CB (2009) Mathematical model and worm wheel tooth working surfaces of the ZN-type hourglass worm gear set. Mech Mach Theory 44:1701-1712. https://doi.org/10.1016/j.mechmachtheory.2009.02.003

    Article  MATH  Google Scholar 

  6. Zhang GH (1978) SG-71 worm drive. Beijing: Shougang Machinery Factory mimeographed

  7. Zhang GH (1976) A novel hourglass worm drive. Chongqing University, Chongqing

    Google Scholar 

  8. Zhao YP, Kong JY, Li GF et al (2012) Computerized simulation of tooth contact and error sensitivity investigation for ease-off hourglass worm drives. Computer-Aided Design 44(8):778-790. https://doi.org/10.1016/j.cad.2012.03.010

    Article  Google Scholar 

  9. Zhao YP, Su DZ, Zhang Z (2010) Meshing analysis and technological parameters selection of dual tori double-enveloping toroidal worm drive. Mechanism and Machine Theory 45(9):1269-1285. https://doi.org/10.1016/j.mechmachtheory.2010.04.004

    Article  MATH  Google Scholar 

  10. Zhao YP, Zhang Y (2016) Improved complex mode theory and truncation and acceleration of complex mode superposition. Advances in Mechanical Engineering 8(10):1-16. https://doi.org/10.1177/1687814016671510

    Article  Google Scholar 

  11. Xu LZ, Fu L (2015) Toroidal drive with half stator. Advances in Mechanical Engineering 7(6):1-8. https://doi.org/10.1177/1687814015589270

    Article  Google Scholar 

  12. Xu LZ, Huang J (2005) Torques for electromechanical integrating toroidal drive. Proc IMechE Part C:J Mechanical Engineering Science 219(8):801-811. https://doi.org/10.1243/095440605X31643

    Article  Google Scholar 

  13. Xu LZ, Li R, Song W (2017) Permanent magnetic toroidal drive with half stator. Advances in Mechanical Engineering 9(1):1-7. https://doi.org/10.1177/1687814016686316

    Article  Google Scholar 

  14. Chen YH, Chen Y, Wang JG et al (2015) Manufacturing and measuring investigation of crown worm tooth surface. Journal of Advanced Mechanical Design Systems and Manufacturing 9(1):1-13. https://doi.org/10.1299/jamdsm.2015jamdsm0003

    Article  MathSciNet  Google Scholar 

  15. Chen YH, Luo WJ, Chen Y et al (2017) Study on the spur involute gear meshing with the planar enveloping hourglass worm based on local conjugate. Proc IMechE Part C:J Mechanical Engineering Science:1-9. https://doi.org/10.1177/0954406217708215

    Google Scholar 

  16. Chen YH, Zhang GH, Chen BK et al (2013) A novel enveloping worm pair via employing the conjugating planar internal gear as counterpart. Mechanism and Machine Theory 67:17-31. https://doi.org/10.1016/j.mechmachtheory.2013.04.001

    Article  Google Scholar 

  17. Deng XQ, Wang JG, Horstemeyer MF (2013) Modification design method for an enveloping hourglass worm with consideration of machining and misalignment errors. Chin J Mech Eng 26(5):948-956. https://doi.org/10.3901/CJME.2013.05.948

    Article  Google Scholar 

  18. Deng XQ, Wang JG, Horstemeyer MF et al (2012) Parametric study of meshing characteristics with respect to different meshing rollers of the anti-backlash double-roller enveloping worm gear. J Mech Des 13(8):1-12. https://doi.org/10.1115/1.4006829

    Article  Google Scholar 

  19. Shimachi S, Gunbara H (1996) Hourglass worm tooth modification using CNC hobbing machine. The Japan Society of Mechanical Engineers(Part C) 62(6):2431-2435

    Article  Google Scholar 

  20. Horiuchi A, Maki M (1998) Hourglass worm gearing with worm tooth generated bu high-speed screw cutting method. The Japan Society of Mechanical Engineers(Part C) 65(12):4813-4817 (in Japanese)

    Google Scholar 

  21. Sun YH, Lu HW, Yan WY et al (2011) A study on manufacture and experiment of hardened TI worm gearing. Chinese Journal of Mechanical Engineering 47(9):182-186. https://doi.org/10.3901/JME.2011.09.182

    Article  Google Scholar 

  22. Liu Z, Lu H, Wang SJ, Yu G (2018) Digitization modeling and CNC machining for cone-generated double-enveloping worm drive. Int J Adv Manuf Technol 95:3393-3412. https://doi.org/10.1007/s00170-017-1404-9

    Article  Google Scholar 

  23. Liu GL, Wei WJ, Dong XZ, Rui C, Liu P, Li H (2017) Relief grinding of planar double-enveloping worm gear hob using a four-axis CNC grinding machine. Int J Adv Manuf Technol 89:3631-3640. https://doi.org/10.1007/s00170-016-9325-6

    Article  Google Scholar 

  24. Litvin FL, Fuentes A (2004) Gear geometry and applied theory, second edn. Cambridge University Press, New York

  25. Luo WJ, Chen YH, Zhang GH (2015) Helix error testing and tracing on planar enveloping hourglass worm tooth surface. Journal of Southwest Jiaotong University 50(2):279-285. https://doi.org/10.3969/j.issn.0258-2724.2015.02.011

    Article  Google Scholar 

  26. Chen YZ, Yao L (2018) Study on a method of CNC form milling for the concave convex arc line. The international Journal of Advanced Manufacturing Technology 99:2327-2339.https://doi.org/10.1007/s00170-018-2566-9

    Article  Google Scholar 

  27. Wang YZ, Hou LW, Lan Z et al (2016) Precision grinding technology for complex surface of aero face-gear. Int J Adv Manuf Technol 86:1263-1272. https://doi.org/10.1007/s00170-015-8241-5

    Article  Google Scholar 

  28. Wang YZ, Hou LW, Lan Z et al (2015) A precision generating grinding method for face gear using CBN wheel. Int J Adv Manuf Technol 79:1839-1848. https://doi.org/10.1007/s00170-015-6962-0

    Article  Google Scholar 

Download references

Funding

This study was supported by the National Key Research and Development Program of China (Grant No. 2019YFB20064 02), the Natural Science Foundation of Chongqing (Grant No. cstc2018jcyjAX0301), and the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJ1741474).

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Authors and Affiliations

  1. School of Aeronautics & Astronautics, Sichuan University, No. 24 South Section, Yihuan Road, Chengdu, China

    Yan Chen & Guofu Yin

  2. Chongqing Business Vocational College, No. 81 Daxuechengzhong Road, Shapingba, Chongqing, China

    Yan Chen & Fang Wang

  3. State Key Laboratory of Mechanical Transmissions, Chongqing University, No. 174 Shazheng Street, Shapingba, Chongqing, China

    Yonghong Chen

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  1. Yan Chen
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  2. Guofu Yin
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  3. Yonghong Chen
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  4. Fang Wang
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Correspondence to Yonghong Chen.

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Chen, Y., Yin, G., Chen, Y. et al. Study on the grinding technology and measure method for planar enveloping hourglass worm. Int J Adv Manuf Technol 106, 4745–4754 (2020). https://doi.org/10.1007/s00170-020-04953-3

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  • DOI: https://doi.org/10.1007/s00170-020-04953-3

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