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A generic and theoretical approach to programming and post-processing for hypoid gear machining on multi-axis CNC face-milling machines

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Abstract

Hypoid gears are machined on multi-axis computer numerical control (CNC) face-milling machines, and parameters of a cutter system and machine settings are calculated for a specific gear design. The existing hypoid gear machining methods use a simplified blade model of cutting systems, resulting in large errors in the machined gears. Moreover, special CAD/CAM software programs are used to design and calculate the machine settings of hypoid gears. These software programs are developed by the OEMs for particular machine tools, and it cannot be used for hypoid gear machine tools of different sizes and configurations. To solve these problems, this research proposes a generic approach to CNC programming and post-processing for gear face milling, considering the accurate blade model in the cutter system. The main contributions of this part include (1) a new mathematical model to calculate the cutter system location and orientation and (2) a generic post-processing method to establish the machine kinematics chain and to compute the coordinates of the machine axes for the face-milling process. This approach provides a general and accurate methodology for the face milling of hypoid gears on machine tools of varying configurations and can be directly applied to the hypoid gear manufacturing for better quality.

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References

  1. Litvin FL, Gutman Y (1981) Method of synthesis and analysis for hypoid gear-drives of “Formate” and “Helixform”—part 1. J Mech Des 103:83–88

    Article  Google Scholar 

  2. Litvin FL, Gutman Y (1981) Method of synthesis and analysis for hypoid gear-drives of “Formate” and “Helixform”—part 2. J Mech Des 103:83–88

    Article  Google Scholar 

  3. Litvin FL, Zhang Y, Lundy M, Heine C (1988) Determination of settings of a tilted head cutter for generation of hypoid and spiral bevel gears. J Mech Des 110:495–500

    Google Scholar 

  4. Krenzer TJ (1984) Computer aided corrective machine settings for manufacturing bevel and hypoid gear sets in technical papers: Fall Technical Meeting, Washington DC

  5. Gosselin C (1999) Corrective machine settings of spiral-bevel and hypoid gears with profile deviations. World Congress on Gearing and Power Transmission, Paris

  6. Gosselin C, Nonaka T, Shiono Y, Kubo A, Tatsuno T (1998) Identification of the machine settings of real hypoid gear tooth surfaces. J Mech Des 120:429–440

    Article  Google Scholar 

  7. Gosselin CJ, Cloutier L (1993) The generating space for parabolic motion error spiral bevel gears cut by the Gleason method. J Mech Des 115:483–489

    Article  Google Scholar 

  8. Simon V (2001) Optimal machine tool setting for hypoid gears improving load distribution. J Mech Des 123:577–582

    Article  Google Scholar 

  9. Simon V (2010) Advanced manufacture of spiral bevel gears on CNC hypoid generating machine. J Mech Des 132:031001-1-8

  10. Simon V (2011) Generation of hypoid gears on CNC hypoid generator. J Mech Des 133:121003-1-9

  11. Simon V (2008) Machine-tool settings to reduce the sensitivity of spiral bevel gears to tooth errors and misalignments. J Mech Des 130:082603

    Article  Google Scholar 

  12. Shih YP, Fong ZH, Lin GC (2007) Mathematical model for a universal face hobbing hypoid gear generator. J Mech Des 129:38–47

    Article  Google Scholar 

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

    Article  Google Scholar 

  14. Fan Q (2010) Tooth surface error correction for face-hobbed hypoid gears. J Mech Des 132:011004-1-8

  15. Wang PY, Fong ZH (2005) Adjustability improvement of face-milling spiral bevel gears by modified radial motion (MRM) method. Mech Mach Theory 2005:69–89

    Article  MATH  Google Scholar 

  16. Wang PY, Fong ZH (2005) Mathematical model of face-milling spiral bevel gear with modified radial motion (MRM) correction. Math Comput Model 41:1307–1323

    Article  MATH  Google Scholar 

  17. Wang PY, Fong ZH (2006) Fourth-order kinematic synthesis for face-milling spiral bevel gears with modified radial motion (MRM) correction. J Mech Des 128:457–467

    Article  Google Scholar 

  18. Perez IG, Fuentes A, Hayasaka K (2010) Analytical determination of basic machine-tool settings for generation of spiral bevel gears from blank data. J Mech Des 132:101002-1-11

  19. Artoni A, Kolivand M, Kahraman A (2010) An ease-off based optimization of the loaded transmission error of hypoid gears. J Mech Des 132:011010-1-9

  20. Lin CY, Tsay CB, Fong ZH (2001) Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques. J Mater Process Technol 114:22–35

    Article  Google Scholar 

  21. Medvedev VI, Volkov AE (2007) Synthesis of spiral bevel gear transmissions with a small shaft angle. J Mech Des 129:949–959

    Article  Google Scholar 

  22. Wasif M (2012) An accurate approach to CNC programming for accurate multi-axis face-milling of hypoid gears. Dissertation, Concordia University, Canada

  23. ANSI/AGMA (2005) Design manual for bevel gears. American Gear Manufacturers Association, USA

    Google Scholar 

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Correspondence to Muhammad Wasif.

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Chen, Z.C., Wasif, M. 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 Technol 81, 135–148 (2015). https://doi.org/10.1007/s00170-015-7171-6

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  • DOI: https://doi.org/10.1007/s00170-015-7171-6

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