Skip to main content
SpringerLink
Log in

Computational investigation of three-faced blade errors on contact behaviors for face-hobbed hypoid gears

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

An accurate mathematical model of face-hobbed hypoid gear tooth surface based on the three-faced blade is established. The correctness of the mathematical model was verified by comparing the contact pattern results from KIMOS software and finite element tooth contact analysis. Then, the effects of tool errors on mesh characteristics of face-hobbed hypoid gear were investigated by loaded tooth contact analysis. Results show that the influences of pressure angle error and regrind angle error on contact pattern are obvious. The location of contact pattern moves from the root on the heel side to the top on the toe side of the tooth surface when the error value increases. The peak-to-peak value of transmission error gradually increases with those two types of errors. The influences of spheric radius error, rake angle error and cutting side relief angle error on contact behaviors are similar and not obvious for face-hobbed hypoid gears.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. C. Liang, C. S. Song, C. C. Zhu, Y. W. Wang, S. Y. Liu and R. H. Sun, Investigation of tool errors and their influences on tooth surface topography for face-hobbed hypoid gears, J. Mech. Des., 142 (2020) 1–11.

    Article  Google Scholar 

  2. F. L. Litvin, Y. Zhang and M. Lundy, Determination of settings of a tilted head cuter for generation of hypoid and spiral bevel gears, ASME J. Eng. Ind., 110(4) (1988) 495–500.

    Google Scholar 

  3. F. L. Litvin and Y. Zhang, Local Synthesis and Tooth Contact Analysis of Face-milled Spiral Bevel Gears, NASA CR4342, Chicago: NASA Lewis Research Center (1991).

    Google Scholar 

  4. Q. Fan, Enhanced algorithms of contact simulation for hypoid gear drives produced by face-milling and face-hobbed process, ASME J. Eng. Ind., 129 (2006) 31–37.

    Google Scholar 

  5. M. Vimercati, Mathematical model for tooth surfaces representation of face-hobbed hypoid gears and its application to contact analysis and stress calculation, Mech. Mach. Theory, 42(6) (2006) 668–690.

    Article  Google Scholar 

  6. K. Kawasaki, I. Tsuji and H. Gunbara, Geometric design of a face gear drive with a helical pinion, Journal of Mechanical Science and Technology, 32(4) (2018) 1653–1659.

    Article  Google Scholar 

  7. Y. S. Zhou, Y. Wu, L. Wang, J. Tang and H. Ouyang, A new closed-form calculation of envelope surface for modeling face gears, Mech. Mach. Theory, 137 (2019) 211–226.

    Article  Google Scholar 

  8. Y. S. Zhou, S. H. Wang, L. M. Wang, J. Y. Tang and Z. C. Chen, CNC milling of face gears with a novel geometric analysis, Mech. Mach. Theory, 139 (2019) 46–65.

    Article  Google Scholar 

  9. F. L. Litvin, A. Fuentes and Q. Fan, Computerized design simulation of meshing and contact and stress analysis of face-milled format generated spiral bevel gears, Mech. Mach. Theory, 37(5) (2002) 441–459.

    Article  Google Scholar 

  10. F. L. Litvin, A. Fuentes and K. Hayasaka, Design, manufacture, stress analysis, and experimental tests of low-noise high endurance spiral bevel gears, Mech. Mach. Theory, 41 (2006) 83–118.

    Article  Google Scholar 

  11. V. Simon, Optimal machine-tool settings for the manufacture of face-hobbed spiral bevel gears, J. Mech. Des., 136(8) (2014) 081004.1–8.

    Article  Google Scholar 

  12. K. Lee, M. Song and J. Seo, Finite element modeling and fatigue analysis of hypoid gears installed in a power transfer unit with a correlational study based on an experimental investigation, Journal of Mechanical Science and Technology, 33(6) (2019) 2797–2807.

    Article  Google Scholar 

  13. W. Shao, H. Ding, J. Y. Tang and S. D. Peng, A data-driven optimization model to collaborative manufacturing system considering geometric and physical performances for hypoid gear product, Robot Cim-Int. Manuf., 54 (2018) 1–16.

    Article  Google Scholar 

  14. X. Y. Yang, C. S. Song, C. C. Zhu, C. C. Liang and R. H. Sun, Impacts of misalignments on mesh behaviors of face-hobbed hypoid gear considering system deformation, IEEE Access, 7 (2019) 79244–79253.

    Article  Google Scholar 

  15. J. Tang, C. Chen and T. Pu, LTCA analyses of spiral bevel gears with machining errors, assembly errors, axial deformation and bearing stiffness, J. of Mech. Trans., 34(5) (2010) 5–8, 16.

    Google Scholar 

  16. G. Liu, H. Yan and J. Zhang, Optimization of cutting/tool parameters for dry high-speed spiral bevel and hypoid gear cutting with cutting simulation experiment, Adv. Mater. Res., 472–475 (2012) 2088–2095.

    Article  Google Scholar 

  17. H. Ding and J. Tang, Optimal modification of tooth flank form error considering measurement and compensation of cutter geometric errors for spiral bevel and hypoid gears, Mech. Mach. Theory, 118 (2017) 14–31.

    Article  Google Scholar 

  18. W. Wang, H. J. Liu and C. C. Zhu, Effect of the residual stress on contact fatigue of a wind turbine carburized gear with multiaxial fatigue criteria, Int. J. Mech. Sci., 151 (2019) 263–273.

    Article  Google Scholar 

  19. S. Y. Liu, C. S. Song, C. C. Zhu, C. C. Liang and X. Y. Yang, Investigation on the influence of work holding equipment errors on contact characteristics of face-hobbed hypoid gear, Mech. Mach. Theory, 138 (2019) 95–111.

    Article  Google Scholar 

  20. J. F. Du and Z. D. Fang, An active tooth surface design methodology for face-hobbed hypoid gears based on measuring coordinates, Mech. Mach. Theory, 99 (2016) 140–154.

    Article  Google Scholar 

  21. S. Mo, S. Ma, G. G. Jin, Y. D. Zhang, C. Lv and H. Houjoh, Research on multiple-split load sharing of two-stage star gearing system in consideration of displacement compatibility, Mech. Mach. Theory, 88 (2015) 1–15.

    Article  Google Scholar 

  22. C. C. Liang, C. S. Song, C. C. Zhu, K. M. Liu and J. Tan, Accurate modeling and verification of Oerlikon hypoid gears based on tool normal benchmark, J. of Chongqing Uni., 43(2) (2020) 1–11.

    Google Scholar 

Download references

Acknowledgments

The authors would like to thank the National Natural Science Foundation of China (51775061) and Guangxi Science and Technology Major Project (Guike AA19182001).

Author information

Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400030, China

    Chaosheng Song, Chengcheng Liang, Caichao Zhu & Siyuan Liu

  2. Guilin Fuda Gear Co. Ltd., Guilin, 541199, China

    Kunming Liu & Qianhong Huang

Authors
  1. Chaosheng Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chengcheng Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Caichao Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Kunming Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Siyuan Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Qianhong Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chaosheng Song.

Additional information

Recommended by Editor Seungjae Min

Song Chaosheng is an Associate Professor at State Key Laboratory of Mechanical Transmissions, Chongqing University, China. His research interests include gear geometry design and dynamics of geared rotor system.

Liang Chengcheng is a Ph.D. candidate at the State Key Laboratory of Mechanical Transmissions, Chongqing University, China. His research area is the geometry design for hypoid gears.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Song, C., Liang, C., Zhu, C. et al. Computational investigation of three-faced blade errors on contact behaviors for face-hobbed hypoid gears. J Mech Sci Technol 34, 2913–2921 (2020). https://doi.org/10.1007/s12206-020-0623-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-020-0623-4

Keywords

Search

Navigation