Research Papers: Design of Direct Contact Systems

A New Method of Motion Rule Synthesis for Face Gear Manufacturing by Plane-Cutter

[+] Author and Article Information
Xian-long Peng

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Building 10#, 58# Yan ta Road,
Xi'an 710054, Shaan Xi, China
e-mail: pxljsh@126.com

Qin-yu Niu

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Building 10#, 58# Yan ta Road,
Xi'an 710054, Shaan Xi, China
e-mail: 417594863@qq.com

Wei Guo

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Building 10#, 58# Yan ta Road,
Xi'an 710054, Shaan Xi,
China e-mail: 710699041@qq.com

Zong-de Fang

School of Mechatronics,
Northwestern Polytechnic University,
Mailbox 554#, 127# You Yi Road,
Xi'an 710072, Shaan Xi, China
e-mail: fauto@nwpu.edu.cn

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 24, 2017; final manuscript received August 22, 2017; published online December 13, 2017. Assoc. Editor: Hai Xu.

J. Mech. Des 140(2), 023302 (Dec 13, 2017) (9 pages) Paper No: MD-17-1174; doi: 10.1115/1.4037762 History: Received February 24, 2017; Revised August 22, 2017

The application of a Gleason Coniflex cutter (plane-cutter) to a modern Phoenix bevel gear machine tool in face gear manufacturing has an advantage of involving a universal cutter or grinder and an available existing machine. It is valuable to research this method for face gear manufacturing. First, the principle of the application of the plane-cutter in face gear manufacturing is presented. Then, the geometry of the cutter is defined, and the model of the face gear generated by this method in abstract is established. Third, a method that uses a predesigned contact path for the synthesis with the motion parameters of the plane-cutter is proposed; controllable transmission errors are considered in this process. Fourth, based on the equivalence principle of the position and direction, the computer numerical control (CNC) motion rules of all spindles of the machine are determined, and the surface generated by the machine is presented. Finally, numerical simulation of an example demonstrates that although the surface generated by the plane-cutter, to a certain extent, deviates from the theoretical surface generated by the traditional method, the surface, in meshing with the standard involute surface of the pinion, presents a good geometric meshing performance based on tooth contact analysis (TCA), except for a shortened contact ellipse.

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Litvin, F. L. , Wang, J. C. , Bossler, R. B., Jr. , Chen, Y. J. D. , Heath, G. , and Lewicki, D. G. , 1992, “ Application of Face Gear Drives in Helicopter Transmissions,” NASA Lewis Research Center, Cleveland, OH, Technical Report No. AVSCOM 91-C-036. https://ntrs.nasa.gov/search.jsp?R=19920019191
Heath, G. F. , Filler, R. R. , and Tan, J. , 2002, “ Development of Face Gear Technology for Industrial and Aerospace Power Transmission,” The Boeing Company, Mesa, AZ, Technical Report No. ARL-CR-0485. https://ntrs.nasa.gov/search.jsp?R=20020062003
Litvin, F. L. , Egelja, A. , Tan, J. , Chen, D. Y. D. , and Heath, G. , 2000, “ Handbook on Face Gear Drives With a Spur Involute Pinion,” University of Illinois at Chicago, Chicago, IL, Technical Report No. ARL-CR-447. https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20000027536.pdf
Litvin, F. L. , and Fuentes, A. , 2004, Gear Geometry and Applied Theory, 2nd ed., Cambridge University Press, New York, Chap. 18. [CrossRef]
Li, Z. M. Q. , and Zhu, R. P. , 2007, “ Process Method of Face-Gear Drive With Spur Involute Pinion With the Shaping Machine,” J. Chongqing Univ., 30(7), pp. 55–58 (in Chinese).
Dundas, K. B. , Milton, D. F. , Hill, A. R. R. , and Willowdale, G. F. , 2002, “ Face Gear Manufacturing Method and Apparatus,” U.S. Patent No. US6390894 B1. https://www.google.ch/patents/US6390894
Litvin, F. L. , Fuentes, A. , Zanzi, C. , Pontiggia, M. , and Handschuh, R. F. , 2002, “ Face Gear Drive With Spur Involute Pinion: Geometry, Generation by a Worm, Stress Analysis,” Comput. Methods Appl. Mech. Eng., 191(25–26), pp. 2785–2813. [CrossRef]
Wu, Y. N. , 2013, “ Research on Hobbing Method of Face Gear,” Master's thesis, Harbin Institute of Technology, Harbin, China (in Chinese).
Peng, X. L. , Fang, Z. D. , Su, J. Z. , and Pei, S. S. , 2012, “ Theory Analysis for Application Grinding Disk in Face Gear Grinding,” J. Aerosp. Power, 27(5), pp. 1159–1165 (in Chinese).
Stadtfeld, H. J. , 2010, “ CONIFACE Face Gear Cutting and Grinding,” Gear Solutions, 10(1), pp. 38–47. http://www.gearsolutions.com/article/detail/6020/coniface-face-gear-cutting-and-grinding
Stadtfeld, H. J. , 2012, “ Method and Tool for Manufacturing Face Gear,” The Gleason Works, Rochester, NY, U.S. Patent No. US2012/0099939 A1. http://www.google.com/patents/US20120099939
Stadtfeld, H. J. , 2007, “ Straight Bevel Gears on Phoenix Machines Using Coniflex Tools,” Gear Solutions, 2007(10), pp. 32–39. http://www.gearsolutions.com/article/detail/5763/straight-bevel-gears-on-phoenix-machines-using-coniflex-tools
Stadtfeld, H. J. , Gaiser, U. , Ervay, E. D. , and Krenzer, T. J. , 2008, “ Manufacturing Straight Bevel Gears,” The Gleason Works, Rochester, NY, U.S. Patent No. US7364391 B1. http://www.google.com/patents/US7364391
Akimov, V. V. , Lagutin, S. A. , and Volkov, A. E. , 2007, “ New Approach to the Local Synthesis of Spiral Bevel Gears,” ASME Paper No. DETC2007-34024.
Fuentes, A. , Gonzalez, P. I. , Litvin, F. L. , Hayasaka, K. , and Yukishima, K. , 2005, “ Design, Manufacture, and Evaluation of Prototypes of Low-Noise High-Endurance Spiral Bevel Gear Drives,” ASME Paper No. DETC2005-84013.
Fan, Q. , 2006, “ Computerized Modeling and Simulation of Spiral Bevel and Hypoid Gears Manufactured by Gleason Face Hobbing Process,” ASME J. Mech. Des., 128(6), pp. 1315–1327. [CrossRef]
Simon, V. , 2008, “ Machine Tool Settings to Reduce the Sensitivity of Spiral Bevel Gears to Tooth Errors and Misalignments,” ASME J. Mech. Des., 130(8), p. 082603. [CrossRef]
Litvin, F. L. , Fuentes, A. , and Hayasaka, K. , 2006, “ Design, Manufacture, Stress Analysis, and Experimental Tests of Low-Noise High Endurance Spiral Bevel Gears,” Mech. Mach. Theory, 41(1), pp. 83–118. [CrossRef]
Shih, Y. P. , 2010, “ A Novel Ease-Off Flank Modification Methodology for Spiral Bevel and Hypoid Gears,” Mech. Mach. Theory, 45(8), pp. 1108–1124. [CrossRef]
Artoni, A. , Gabiccini, M. , and Guiggiani, M. , 2008, “ Nonlinear Identification of Machine Settings for Flank Form Modifications in Hypoid Gears,” ASME J. Mech. Des., 130(11), p. 112602. [CrossRef]
Mermoz, E. , Astoul, J. , Sartor, M. , Linares, J. M. , and Bernard, A. , 2013, “ A New Methodology to Optimize Spiral Bevel Gear Topography,” CIRP Ann. Manuf. Technol., 62(1), pp. 119–122. [CrossRef]
Gonzalez, P. I. , Fuentes, A. , and Hayasaka, K. , 2010, “ Analytical Determination of Basic Machine-Tool Settings for Generation of Spiral Bevel Gears From Blank Data,” ASME J. Mech. Des., 132(10), p. 101002. [CrossRef]
Shih, Y. P. , and Shi, D. C. , 2012, “ A Flank Correction Methodology for a Five-Axis CNC Gear Profile Grinding Machine,” Mech. Mach. Theory, 47, pp. 31–45. [CrossRef]
Zanzi, C. , and Pedrero, J. I. , 2005, “ Application of Modified Geometry of Face Gear Drive,” Comput. Methods Appl. Mech. Eng., 194(27–29), pp. 3047–3066. [CrossRef]
Litvin, F. L. , Fuentes, A. , and Zanzi, C. , 2002, “ Design, Generation, and Stress Analysis of Two Versions of Geometry of Face-Gear Drives,” Mech. Mach. Theory, 37(10), pp. 1179–1211. [CrossRef]
Tang, J. Y. , Yin, F. , and Chen, X. M. , 2013, “ The Principle of Profile Modified Face-Gear Grinding Based on Disk Wheel,” Mech. Mach. Theory, 70, pp. 1–15. [CrossRef]
Tsuji, I. , Gunbara, H. , Kawasaki, K. , and Takami, A. , 2011, “ Machining and Running Test of High-Performance Face Gear Set,” ASME Paper No. DETC2011-48824.
Peng, X. L. , Zhang, L. , and Fang, Z. D. , 2016, “ Manufacturing Process for a Face Gear Drive With Local Bearing Contact and Controllable Unloaded Meshing Performance Based on Ease-Off Surface Modification,” ASME J. Mech. Des., 138(4), p. 043302. [CrossRef]
Lee, C.-K. , 2009, “ Manufacturing Process for a Cylindrical Crown Gear Drive With a Controllable Fourth Order Polynomial Function of Transmission Error,” J. Mater. Process. Technol., 209(1), pp. 3–13. https://doi.org/10.1016/j.jmatprotec.2008.03.065


Grahic Jump Location
Fig. 1

The geometrical and motion relation between the plane-cutter and the face gear

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Fig. 2

Contact line and contact point between surfaces Σp, Σm, Σ2, the approximation of L2m by single contact line L2p

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Fig. 3

Definition of the plane-cutter

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Fig. 4

Coordinate systems applied in the face gear generation

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Fig. 5

Predesign contact path on the generated surface Σ2p

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Fig. 6

Phoenix machine tool for face gear generation by plane-cutter

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Fig. 7

Coordinate systems for face gear generation on the Phoenix machine tool

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Fig. 8

Tooth surfaces Σ2pC and their deviations in case 1 and 2

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Fig. 10

Contact path, bearing contact, and contact ellipses

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Fig. 9

The variation of tooth surface under the influence of the predesigned transmission errors

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Fig. 11

Transmission errors in cases 1 and 2 after transmission errors predesign



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