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Influence of geometric parameters on variation of motion during rolling process of involute spline

  • Da-Wei ZhangEmail author
  • Zhen-Hao Zheng
  • Sheng-Dun Zhao
Technical Paper
  • 25 Downloads

Abstract

During the rolling process of involute spline with circular dedendum, the center distance between workpiece and spline rolling die gradually varies, and the tooth profile of workpiece is gradually formed. There is a notable variation of the angular velocity of workpiece or the transmission ratio between initial and late rolling stages. There is an interruption of motion between two forming stages in theory due to different curve meshing at different forming stage. The difference of transmission ratio at the interruption is defined as \( \Delta \). The difference \( \Delta \) is independent on the motion parameters of spline rolling die, such as angular velocity and feed-in speed, but is dependent on the geometric parameters of workpiece and rolling die. The study indicated that teeth (\( Z_{w} \)) of spline/workpiece, pressure angle (\( \alpha \)) of reference circle, addendum coefficient (\( h_{a}^{*} \)) of spline/workpiece, dedendum coefficient (\( h_{f}^{*} \)) of spline/workpiece and teeth (\( Z_{d} \)) of rolling die have an influence on the difference \( \Delta \), but only \( h_{f}^{*} \) and \( \alpha \) present highly significant influence on difference \( \Delta \), and the other parameters have little influence.

Keywords

Involute spline Cold rolling Geometric parameters Transmission ratio 

Notes

Acknowledgements

The authors would like to gratefully acknowledge the supports of the National Natural Science Foundation of China (Grant Nos. 51675415 and 51335009).

References

  1. 1.
    Zhang DW, Li YT, Fu JH, Zheng QG (2007) Mechanics analysis on precise forming process of external spline cold rolling. Chin J Mech Eng 20(3):54–58CrossRefGoogle Scholar
  2. 2.
    Zhang DW, Li YT, Fu JH, Zheng QG (2009) Rolling force and rolling moment in spline cold rolling using slip-line field method. Chin J Mech Eng 22(5):688–695CrossRefGoogle Scholar
  3. 3.
    Song JL, Liu ZQ, Li YT (2017) Cold rolling precision forming of shaft parts: theory and technologies. Springer, HeidelbergCrossRefGoogle Scholar
  4. 4.
    Zhang DW, Zhao SD, Ou H (2016) Motion characteristic between die and workpiece in spline rolling process with round dies. Adv Mech Eng 8(7):1–12Google Scholar
  5. 5.
    Zhang DW, Zhao SD, Li YT (2014) Rotatory condition at initial stage of external spline rolling, Math Prob Eng Article ID 363184, 12 pagesGoogle Scholar
  6. 6.
    Neugebauer R, Putz M, Hellfritzsch U (2007) Improved process design and quality for gear manufacturing with flat and round rolling. Ann CIRP 56(1):307–312CrossRefGoogle Scholar
  7. 7.
    Neugebauer R, Hellfritzsch U, Lahl M (2008) Advanced process limits by rolling of helical gears. Int J Mater Form 1(s1):1183–1186CrossRefGoogle Scholar
  8. 8.
    Neugebauer R, Klug D, Hellfritzsch U (2007) Description of the interactions during gear rolling as a basis for a method for the prognosis of the attainable quality parameters. Prod Eng Res Dev 1(3):253–257CrossRefGoogle Scholar
  9. 9.
    Litvin FL (1989) Theory of gearing. NASA Reference Publication 1212, WashingtonGoogle Scholar
  10. 10.
    Litvin FL (1994) Gear geometry and applied theory. PRT Prentice Hall, Englewood CliffszbMATHGoogle Scholar
  11. 11.
    Wu XT (2009) Principle of gearing, 2nd edn. Xi’an Jiaotong University Press, Xi’an (in Chinese) Google Scholar
  12. 12.
    Dooner DB, Santana RA (2001) Gear parameters for specified deflections. J Mech Des 123:416–421CrossRefGoogle Scholar
  13. 13.
    Peng Y, Song A, Shen Y, Lin X (2017) A novel arc-tooth-trace cycloid cylindrical gear. Mech Mach Theory 118:180–193CrossRefGoogle Scholar
  14. 14.
    Kolivand M, Li S, Kahraman A (2010) Prediction of mechanical gear mesh efficiency of hypoid gear pairs. Mech Mach Theory 45:1568–1582CrossRefGoogle Scholar
  15. 15.
    Pandys Y, Parey A (2013) Simulation of crack propagation in spur gear tooth for different gear parameter and it influence on mesh stiffness. Eng Fail Anal 30:124–137CrossRefGoogle Scholar
  16. 16.
    Zhang DW, Zhao SD, Ou H (2016) Analysis of motion between rolling die and workpiece in thread rolling process with round dies. Mech Mach Theory 105:471–494CrossRefGoogle Scholar
  17. 17.
    Zhang DW, Zhao SD, Wu SB, Zhang Q, Fan SQ, Li JX (2015) Phase characteristic between dies before rolling for thread and spline synchronous rolling process. Int J Adv Manuf Technol 81:513–528CrossRefGoogle Scholar
  18. 18.
    Cheng H, Kao Y (2005) Study on an integrated process for screw rolling die plate development. J Chin Soc Mech Eng 26(5):571–577Google Scholar
  19. 19.
    Chen CH, Wang ST, Lee RS (2005) 3-D Finite element simulation for flat-die thread rolling of stainless steel. J Chin Soc Mech Eng 26(5):617–622Google Scholar
  20. 20.
    Kao YC, Cheng HY, She CH (2006) Development of an integrated CAD/CAE/CAM system on taper-tipped thread-rolling die-plates. J Mater Process Technol 177:98–103CrossRefGoogle Scholar
  21. 21.
    Pater Z, Gontarz A, Weroñski W (2004) New method of thread rolling. J Mater Process Technol 153–154:722–728CrossRefGoogle Scholar
  22. 22.
    Zhang DW, Li YT, Fu JH, Zheng QG (2009) Theoretical analysis and numerical simulation of external spline cold rolling. In: IET Conference Publications CP556. Institution of Engineering and Technology, London, United Kingdom, pp 1–7Google Scholar
  23. 23.
    Zhang DW, Zhao SD (2014) New method for forming shaft having thread and spline by rolling with round dies. Int J Adv Manuf Technol 70:1455–1462CrossRefGoogle Scholar
  24. 24.
    Cui MC, Zhao SD, Chen C, Zhang DW, Li YY (2017) Finite element modeling and analysis for the integration-rolling-extrusion process of spline shaft. Adv Mech Eng 9(2):1–11CrossRefGoogle Scholar
  25. 25.
    Zhang DW, Zhao SD, Bi YD (2019) Analysis of forming error during thread and spline synchronous rolling process based on motion characteristic. Int J Adv Manuf Technol 102:915–928CrossRefGoogle Scholar
  26. 26.
    He W, Xue WD, Tang B (2012) Experiment optimization design method and data analyzing. Chemical Industry Press, Beijing (in Chinese) Google Scholar
  27. 27.
    Zhan ZP, Chang BY, Ming CX (1997) Involute spline standards application manual. Standards Press of China, Beijing (in Chinese) Google Scholar
  28. 28.
    Zhang DW (2018) Die structure and its trial manufacture for thread and spline synchronous rolling process. Int J Adv Manuf Technol 96:319–325CrossRefGoogle Scholar
  29. 29.
    Taguchi G (1987) System of experiment design. In: Clausing D (trans.) Kraus International Publications, New YorkGoogle Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringXi’an Jiaotong UniversityXi’anPeople’s Republic of China

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