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Face milling for hypoid internal bevel gear using new type of tilt milling machine


To improve the machining efficiency, a new model is set up in this paper, which could machine hypoid internal bevel gears by using the tilt cutting method. An algorithm is developed to calculate the processing parameters. Unlike the traditional tilt structure machines, the tilt drum of the new model can only be adjusted in a vertical plane. Firstly, according to its special structure, the machine tool mathematical model is built. Then, the tilt angle is calculated and converted into a machine root angle and machine tilt angle equivalently. Based on the principle that the unit normal vector of the internal bevel gear tooth surface should be equal to that of hypoid gear at the reference point, the pressure angle and spiral angle of the internal bevel gear are calculated. Moreover, by adjusting the cutter position and machine root angle, the pressure angle of the shape gear is revised, which greatly extended the universality of the cutter. Finally, the cutter position affected by tilt angle is compensated. To demonstrate the performance of the proposed method, cutting simulation is carried out and the processing experiment is conducted. The results indicate that the simulation model and the actual model are basically in line with the theoretical model, which verifies the feasibility of the proposed processing method.

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  1. 1.

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

    Article  MATH  Google Scholar 

  2. 2.

    Simon V (2011) Generation of hypoid gears on CNC hypoid generator. J Mech Des 133 121001-1-9

  3. 3.

    Xie SX (2013) A genuine face milling cutter geometric model for spiral bevel and hypoid gears. Int J Adv Manuf Technol 67:2619–2626

    Article  Google Scholar 

  4. 4.

    Fan Q (2007) Enhanced algorithms of contact simulation for hypoid gear drives produced by face-milling and face-hobbing process. J Mech Des 129:31–37

    Article  Google Scholar 

  5. 5.

    Zhang WZ, Cheng BK, Guo XD, Zhang MD, Xing Y (2015) A motion control method for face hobbing on CNC hypoid generator. Mech Mach Theory 92:127–143

    Article  Google Scholar 

  6. 6.

    Deng XZ, Li GG, Wei BY, Deng J (2014) Face-milling spiral bevel gear tooth surfaces by application of 5-axis CNC machine tool. Int J Adv Manuf Technol 71:1049–1057

    Article  Google Scholar 

  7. 7.

    Chen ZC, Wasif M (2015) A generic and theoretical approach to programming and post-processing for hypoid gear machining on multi-axis CNC face-milling machines. Int J Adv Manuf Tech006Eol 81:135–148

    Article  Google Scholar 

  8. 8.

    Shih YP, Huang YC, Lee YH, Wu JM (2013) Manufacture of face-hobbed straight bevel gears using a six-axis CNC bevel gear cutting machine. Int J Adv Manuf Technol 68:2499–2515

    Article  Google Scholar 

  9. 9.

    Wasif M, Chen ZC (2016) An accurate approach to determine the cutting system for the face milling of hypoid gears. Int J Adv Manuf Technol 84:1873–1888

    Article  Google Scholar 

  10. 10.

    Gao ZS, Deng XZ, Chen FX (2014) Process improvement and experiments of spiral bevel gear forgings based on preform design and divided flow cavity technology. Chin Mech Engrs 25:944–948

    Google Scholar 

  11. 11.

    Shan DB, Xu J, Wang CJ, Guo B (2009) Hybrid forging processes of micro-double gear using micro-forming technology. Int J Adv Manuf Technol 44:238–243

    Article  Google Scholar 

  12. 12.

    Khalilpourazary S, Dadvand A, Azdast T, Sadeghi MH (2011) Design and manufacture of a straight bevel gear in hot precision forging process using finite volume method and CAD/CAE technology. Int J Adv Manuf Technol 56:87–95

    Article  Google Scholar 

  13. 13.

    Wang HJ, Hua L, Xia JC (2006) Forming analysis of closed die extrusion for spiral bevel driving gear of automotive final drive. Trans Chin Soc Agric Mach 37:133–136

    Google Scholar 

  14. 14.

    Lee RS, Jou JL (2003) Application of numerical simulation for wear analysis of warm forging die. J Mat Proc Tech 140:43–48

    Article  Google Scholar 

  15. 15.

    Kim DH, Lee HC, Kim BM (2005) Estimation of dieservice life against plastic deformation and wear during hot forging processing. J Mat Proc Tech 166:372–380

    Article  Google Scholar 

  16. 16.

    Song JH, Im YT (2007) Process design for closed die forging of bevel gear by finite element analyses. J Mat Proc Tech 192/193:1–7

    Article  Google Scholar 

  17. 17.

    Molyneux WG, Hawley, Camberley, Surrey (1997) The internal bevel gear and its applications. Proc Instn Mech Engrs 211:39–61

    Article  Google Scholar 

  18. 18.

    Yao LG, Gu B, Huang SJ, Wei GW, Dai JS (2012) Mathematical modeling and simulation of the external and internal double circular-arc spiral bevel gears for the nutation drive. J Mech Des 132 021008-1-10

  19. 19.

    Lin Z, Yao LG, Huang SJ (2012) Transmission ratio analysis and controllable tooth profile modeling for the nutation drive with double circular-arc external and internal spiral bevel gears. Adv Mater Res 97-101:3128–3134

    Article  Google Scholar 

  20. 20.

    Lin Z, Yao LG (2012) General mathematical model of internal 683meshing spiral bevel gears for nutation drive. Appl Mech Mat 684101-102:708–712

  21. 21.

    Li HJ (2002) Machining technique of the precise die used for forging of spiral bevel gear. Mech Des Manuf Engrs 3(31–32):44

    Article  Google Scholar 

  22. 22.

    Li HJ, Liang JY (2005) Calculation and experiment of cutting spiral bevel gear mold. Min Mach 12:82–84

    Google Scholar 

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Correspondence to Xiaozhong Deng.

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Jiang, C., Deng, X., Deng, J. et al. Face milling for hypoid internal bevel gear using new type of tilt milling machine. Int J Adv Manuf Technol 90, 2537–2548 (2017).

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  • Hypoid internal bevel gear
  • Tilt milling machine
  • Parameters calculation
  • Cutting simulation
  • Machining experiment