Skip to main content
Log in

Crucial errors identification of worm grinding process of face gears based on tooth flank posture error model and their influences on tooth flank errors

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Currently, worm grinding is the most effective way to manufacture high-precision face gears, but complicated and difficult. For disclosing the mapping laws between the worm-face gear posture errors and face gear tooth flank errors, the face gear tooth flank posture error model (TFPEM) was firstly deduced by decomposing the worm-face gear posture errors into 18 worm and face gear posture errors. The improved Sobol method (ISM) was applied to calculate the sensibility of each posture error to identify the crucial errors (CEs) in each error direction (ED) of the tooth flank. Then the error correction tests on the CEs were carried out to verify the identification results. Finally, the influences of the CEs in different EDs of the tooth flank were analyzed. The results show that the δy-direction with the smallest error reduction rate (ERR) reaches 73.83%, which indicates the reliability and effectiveness of the identification results. The established TFPEM is effective to reveal the effects of the worm and the face gear posture errors on the face gear tooth flank errors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20

Similar content being viewed by others

References

  1. Lewicki DG, Handschuh RF, Heath GF, Sheth V (2000) Evaluation of carburized and ground face gears. J Am Helicopter Soc 45(2):118–124. https://doi.org/10.4050/jahs.45.118

    Article  Google Scholar 

  2. Filler RR, Heath GF, Slaughter SC, Lewicki DG (2002) Torque splitting by a concentric face gear transmission. Am Helicopter Soc Ann Forum Montreal US 11–13

    Google Scholar 

  3. Litvin FL, Zhang Y, Wang JC, Bossler RB, Chen YJD (1992) Design and geometry of face-gear drives. J Mech Des 114(4):642–647. https://doi.org/10.1115/1.2917055

    Article  Google Scholar 

  4. Litvin FL, Wang JC, Bossler RB, Chen YJD, Heath G, Lewicki DG (1994) Application of face-gear drives in helicopter transmissions. J Mech Des 116(3):672–676. https://doi.org/10.1115/1.2919434

    Article  Google Scholar 

  5. Litvin FL, Egelja A, Tan J, Heath G (1998) Computerized design, generation and simulation of meshing of orthogonal offset face-gear drive with a spur involute pinion with localized bearing contact. Mech Mach Theory 33(1–2):87–102. https://doi.org/10.1016/s0094-114x(97)00022-0

    Article  MATH  Google Scholar 

  6. Litvin FL, Chen Y, Heath GF, Sheth VJ, Chen N (2000) Apparatus and method for precision grinding face gears. US Patent 6,146,253

  7. Litvin FL, Fuentes A, Howkins M (2001) Design, generation and TCA of new type of asymmetric face-gear drive with modified geometry. Comput Methods Appl Mech Eng 190(43–44):5837–5865. https://doi.org/10.1016/s0045-7825(01)00201-8

    Article  MATH  Google Scholar 

  8. Litvin FL, Fuentes A, Zani C, Pontiggia M, Handschuh RF (2002) Face-gear drive with spur involute pinion: geometry, generation by a worm, stress analysis. Comput Methods Appl Mech Eng 191(25–26):2785–2813. https://doi.org/10.1016/S0045-7825(02)00215-3

    Article  MATH  Google Scholar 

  9. Litvin FL, Fuentes A, Zanzi C, Pontiggia M (2002) Design, generation, and stress analysis of two versions of geometry of face-gear drives. Mech Mach Theory 37(10):1179–1211. https://doi.org/10.1016/s0094-114x(02)00050-2

    Article  MATH  Google Scholar 

  10. Litvin FL, Gonzalez-Perez I, Fuentes A, Vecchiato D, Hansen BD, Binney D (2005) Design, generation and stress analysis of face-gear drive with helical pinion. Comput Methods Appl Mech Eng 194(36–38):3870–3901. https://doi.org/10.1016/j.cma.2004.09.006

    Article  MATH  Google Scholar 

  11. Heath FG, Bossle RB Jr (1993) Advanced rotorcraft transmission (ART) program – final report. NASA Contractor Report 191057

  12. Caruso A, Gorla C (1999) FACET: Face gears in aerospace transmissions. The 25th European Rotorcraft Forum 14–16

  13. Sato Y, Akahori H (2002) Evaluation of face gear for rotorcraft application. Proceedings of Heli, Tochigi Japan 11–13

  14. Tang J, Yin F, Chen X (2013) The principle of profile modified face-gear grinding based on disk wheel. Mech Mach Theory 70:1–15. https://doi.org/10.1016/j.mechmachtheory.2013.06.013

    Article  Google Scholar 

  15. Li F, Li X, Li Z, Zhu R (2014) Influence of setting error of tool on tooth profile and contact point of face gear drive. Trans Nanjing Univ Aeronaut Astronaut 31(4):370–376

    Google Scholar 

  16. Guo H, Peng X, Zhao N, Zhang S (2015) A CNC grinding method and envelope residual model for face gear. Int J Adv Manuf Technol 79(9–12):1689–1698. https://doi.org/10.1007/s00170-015-6915-7

    Article  Google Scholar 

  17. Ming X, Gao Q, Yan H, Liu J, Liao C (2016) Mathematical modeling and machining parameter optimization for the surface roughness of face gear grinding. Int J Adv Manuf Technol 90(9–12):2453–2460. https://doi.org/10.1007/s00170-016-9576-2

    Article  Google Scholar 

  18. Peng X, Zhang L, Fang Z (2016) Manufacturing process for a face gear drive with local bearing contact and controllable unloaded meshing performance based on ease-off surface modification. J Mech Des 138(4):043302. https://doi.org/10.1115/1.4032579

    Article  Google Scholar 

  19. Feng G, Xie Z, Zhou M (2019) Geometric design and analysis of face-gear drive with involute helical pinion. Mech Mach Theory 134:169–196. https://doi.org/10.1016/j.mechmachtheory.2018.12.020

    Article  Google Scholar 

  20. Wang Y, Hou L, Lan Z, Zhang G (2016) Precision grinding technology for complex surface of aero face-gear. Int J Adv Manuf Technol 86(5–8):1263–1272. https://doi.org/10.1007/s00170-015-8241-5

    Article  Google Scholar 

  21. Wang Y, Su G, Chu X, Huang Y, Shiyuan E, Zhang W, Liu Y (2021) A finishing method for the continuous generation of spur face gears with shaving cutters. Int J Mech Sci 190. https://doi.org/10.1016/j.ijmecsci.2020.106020

  22. Shen Y, Liu X, Li D, Li Z (2018) A method for grinding face gear of double crowned tooth geometry on a multi-axis CNC machine. Mech Mach Theory 121:460–474. https://doi.org/10.1016/j.mechmachtheory.2017.11.007

    Article  Google Scholar 

  23. Zhou R, Zhao N, Li W, Li R, Guo G, Guo H (2019) A grinding method of face gear mating with a conical spur involute pinion. Mech Mach Theory 141:226–244. https://doi.org/10.1016/j.mechmachtheory.2019.07.013

    Article  Google Scholar 

  24. Zhou Y, Tang J, Zhou H, Yin F (2016) Multistep method for grinding face-gear by worm. J Manuf Sci Eng 138(7):071013. https://doi.org/10.1115/1.4033387

    Article  Google Scholar 

  25. Guo H (2017) Dressing method with fewer CNC axes for face gear grinding worm with standard cone dressing wheel. J Mech Eng 53(7):23–29. https://doi.org/10.3901/jme.2017.07.023

    Article  Google Scholar 

  26. Shi X, Zhou Y, Zhang W, Tang J (2019) A new worm grinding method of face gears based on the optimization of dressing wheel profile. Forsch Ingenieurwes 83(3):751–757. https://doi.org/10.1007/s10010-019-00353-6

    Article  Google Scholar 

  27. Shi X, Zhou Y, Tang J, Li Z (2020) An innovative generated approach to dressing the worm for grinding spur face gears. Manuf Lett 25:26–29. https://doi.org/10.1016/j.mfglet.2020.06.003

    Article  Google Scholar 

  28. Wang Y, Lan Z, Hou L, Zhao H, Zhong Y (2015) A precision generating grinding method for face gear using CBN wheel. Int J Adv Manufact Technol 79(9–12):1839–1848. https://doi.org/10.1007/s00170-015-6962-0

    Article  Google Scholar 

  29. Cui W, Tang J (2017) New method for calculating face gear tooth surface involving worm wheel installation errors. J Cent South Univ 24(8):1767–1778. https://doi.org/10.1007/s11771-017-3585-7

    Article  Google Scholar 

  30. Wang T, Wu C, Liu H, Chen M, Cheng J, Fang Z, Yu B (2019) Configuration design and accuracy analysis of special grinding machine for thin-walled small concave surfaces. Precis Eng 56:293–302. https://doi.org/10.1016/j.precisioneng.2018.12.009

    Article  Google Scholar 

  31. Li Z, Sato R, Shirase K, Ihara Y, Milutinovic DS (2019) Sensitivity analysis of relationship between error motions and machined shape errors in five-axis machining center - Peripheral milling using square-end mill as test case. Precis Eng 60:28–41. https://doi.org/10.1016/j.precisioneng.2019.07.006

    Article  Google Scholar 

  32. Fan J, Tao H, Pan R, Chen D (2020) An approach for accuracy enhancement of five-axis machine tools based on quantitative interval sensitivity analysis. Mech Mach Theory 148:103806. https://doi.org/10.1016/j.mechmachtheory.2020.103806

    Article  Google Scholar 

  33. Xia C, Wang S, Sun S, Ma C, Lin X, Huang X (2019) An identification method for crucial geometric errors of gear form grinding machine tools based on tooth surface posture error model. Mech Mach Theory 138:76–94. https://doi.org/10.1016/j.mechmachtheory.2019.03.016

    Article  Google Scholar 

Download references

Funding

This work was supported by the Key Project of National Natural Science Foundation of China (Grant No.51635003).

Author information

Authors and Affiliations

Authors

Contributions

Jun Wang contributed to the conception of the study and wrote the manuscript; Shilong Wang contributed to the conception of the study, funding acquisition, and supervision; Chi Ma contributed to analysis and manuscript review; Changjiu Xia helped perform the analysis with constructive discussions.

Corresponding author

Correspondence to Shilong Wang.

Ethics declarations

Conflict of interest

The authors declare no competing interests.

Additional information

Publisher's note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, J., Wang, S., Ma, C. et al. Crucial errors identification of worm grinding process of face gears based on tooth flank posture error model and their influences on tooth flank errors. Int J Adv Manuf Technol 119, 6177–6192 (2022). https://doi.org/10.1007/s00170-021-08486-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-021-08486-1

Keywords

Navigation