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Research Papers: Design of Direct Contact Systems

Manufacturing Process for a Face Gear Drive With Local Bearing Contact and Controllable Unloaded Meshing Performance Based on Ease-Off Surface Modification

[+] Author and Article Information
Xian-long Peng

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Xi'an, Shaanxi 710054, China
e-mails: pxljsh@126.com; pxljsh@xust.edu.cn

Le Zhang

School of Mechanical Engineering,
Xi'an University of Science and Technology,
Xi'an, Shaanxi 710054, China
e-mail: 674184809@qq.com

Zong-de Fang

School of Mechanical Engineering,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: fauto@nwpu.edu.cn

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received July 15, 2015; final manuscript received December 27, 2015; published online February 23, 2016. Assoc. Editor: Hai Xu.

J. Mech. Des 138(4), 043302 (Feb 23, 2016) (13 pages) Paper No: MD-15-1501; doi: 10.1115/1.4032579 History: Received July 15, 2015; Revised December 27, 2015

A manufacturing process for fabricating ease-off surfaces of a face gear drive that is provided with controllable unloaded meshing performance and local bearing contact is proposed. In order to control the unloaded meshing performance, a predesigned transmission error, a predesigned contact path, and the length of contact ellipse are applied in the redesign of the ease-off surfaces of the pinion and face gear. A method of point contact between the grinding disk and the manufactured pinion is proposed to generate the pinion's ease-off surface, the grinding disk is driven by a series of parabolic motions. Numerical examples are used to illustrate the application of the proposed method, the proposed method is proven to be feasible, and the redesigned face gear is proven to be able reproduce the predesigned unloaded meshing performance simulated by tooth contact analysis (TCA). The influence of misalignment on unloaded meshing performance is also analyzed.

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References

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]
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]
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(2013), pp. 1–15. [CrossRef]
Litvin, F. L. , and Zhang, Y. , 1991, “ Local Synthesis and Tooth Contact Analysis of Face-Milled Spiral Bevel Gears,” University of Illinois at Chicago, Chicago, IL, Technical Report No. AVSCOM TR-90-C-028.
Xuemei, C. , Zongde, F. , Haob, X. , and Jinzhan, S. , 2008, “ Design of Pinion Machine Tool-Settings for Spiral Bevel Gears by Controlling Contact Path and Transmission Errors,” Chin. J. Aeronaut., 21(2), pp. 179–186. [CrossRef]
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-Perez, 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.
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]
Stadtfeld, H. J. , and Gaiser, U. , 2000, “ The Ultimate Motion Graph,” ASME J. Mech. Des., 122(3), pp. 317–322. [CrossRef]
Wang, P.-Y. , and Fong, Z.-H. , 2006, “ Fourth-Order Kinematic Synthesis for Face-Milling Spiral Bevel Gears With Modified Radial Motion (MRM) Correction,” ASME J. Mech. Des., 128(2), pp. 457–467. [CrossRef]
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]
Fan, Q. , Dafoe, R. , and Swanger, J. W. , 2008, “ Higher-Order Tooth Flank Form Error Correction for Face Milled Spiral Bevel and Hypoid Gears,” ASME J. Mech. Des., 130(7), p. 0726011. [CrossRef]
Shih, Y.-P. , and Fong, Z.-H. , 2007, “ Flank Modification Methodology for Face-Hobbing Hypoid Gears Based on Ease-Off Topography,” ASME J. Mech. Des., 129(12), pp. 1294–1302. [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]
Simon, V. , 2001, “ Optimal Machine Tool Setting for Hypoid Gears Improving Load Distribution,” ASME J. Mech. Des., 123(4), pp. 557–582. [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. 0826031. [CrossRef]
Kolivand, M. , and Kahraman, A. , 2010, “ An Ease-Off Based Method for Loaded Tooth Contact Analysis of Hypoid Gears Having Local and Global Surface Deviations,” ASME J. Mech. Des., 132(7), pp. 1–5. [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. 1126021. [CrossRef]
Gabiccini, M. , Artoni, A. , and Guiggiani, M. , 2012, “ On the Identification of Machine Settings for Gear Surface Topography Corrections,” ASME J. Mech. Des., 134(4), p. 0410041. [CrossRef]
Artoni, A. , Kolivand, M. , and Kahraman, A. , 2010, “ An Ease-Off Based Optimization of the Loaded Transmission Error of Hypoid Gears,” ASME J. Mech. Des., 132(1), p. 0110101. [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]
Astoul, J. , Mermoz, E. , Sartor, M. , Linares, J. M. , and Bernard, A. , 2014, “ New Methodology to Reduce the Transmission Error of the Spiral Bevel Gears,” CIRP Ann.-Manuf. Technol., 63(1), pp. 165–168. [CrossRef]
Barone, S. , Borgianni, L. , and Forte, P. , 2004, “ Evaluation of the Effect of Misalignment and Profile Modification in Face Gear Drive by a Finite Element Meshing Simulation,” ASME J. Mech. Des., 126(5), pp. 916–924. [CrossRef]
Guingand, M. , de Vaujany, J. P. , and Icard, Y. , 2005, “ Analysis and Optimization of the Loaded Meshing of Face Gears,” ASME J. Mech. Des., 127(1), pp. 135–143. [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.
Yang, X.-Y. , and Tang, J.-Y. , 2014, “ Research on Manufacturing Method of CNC Plunge Milling for Spur Face-Gear,” J. Mater. Process. Technol., 214(12), pp. 3013–3019. [CrossRef]
Guo, H. , Zhao, N. , and Zhang, S. , 2013, “ Generation Simulation and Grinding Experiment of Face-Gear Based on Single Index Generating Method,” ASME Paper No. DETC2013-12566.
Binney, D. A. , Vinayak, H. , Gmirya, Y. , Zunski, L. M. , Houser, D. R. , and Ames, E. C. , 2003, “ Face Gear Transmission Development Program at Sikorsky Aircraft,” ASME Paper No. DETC2003/PTG-48039.
Stadtfeld, H. J. , 2012, “ Method and Tool for Manufacturing Face Gear,” U.S. Patent No. US2012/00099939 A1.
Jinke, J. , and Zongde, F. , 2015, “ Design and Analysis of Modified Cylindrical Gears With a Higher-Order Transmission Error,” Mech. Mach. Theory, 88(141), pp. 141–152.
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. [CrossRef]
Litvin, F. L. , 1994, Gear Geometry and Applied Theory, PTR Prentice Hall, Englewood Cliffs, NJ, Chaps. 8, 9, 18.
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. 0704-0188.
Litvin, F. L. , Fuentes, A. , and Gonzalez-Perez, I. , 2003, “ Modified Involute Helical Gears: Computerized Design, Simulation of Meshing and Stress Analysis,” Comput. Methods Appl. Mech. Eng., 192(33–34), pp. 3619–3655. [CrossRef]
Litvin, F. L. , Fuentes, A. , Claudio Zanzi , 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]

Figures

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Fig. 1

Simulation of a pinion meshing with a face gear

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Fig. 2

A fourth-order polynomial function of transmission errors

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Fig. 3

Coordinate systems applied in the generation of surface Σ2

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Fig. 4

Predesigned contact path on surface Σ2r

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Fig. 5

Determination of points Pi3, Pi4 to define the ease-off surface of the pinion: (a) determination of points Pi1, bi1, ai1, Pi3, (b) illustration of points Pi, ai1, ai2, and (c) ease-off topography and Pi Pi3Pi4

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Fig. 6

k′k′ using in definition of ease-off topography Σ1r

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Fig. 7

Material needing cutting for surface Σ1r

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Fig. 8

Manufacturing of the pinion with ease-off topography Σ1r: (a) freedom of motion of the disk Σg, (b) definition of surface Σg, and (c) coordinate systems in generation of Σ1r

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Fig. 10

The transmission errors: (a) in case 1 and (b) in case 2

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Fig. 11

Ease-off topography Σ2r of the face gear: (a) case 1 and (b) case 2

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Fig. 12

Coefficients c1, c2, c3 of machine settings in case 1

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Fig. 13

Ease-off topography Σ1r of the pinion: (a) case 1 and (b) case 2

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Fig. 16

The influence of the misalignment on the shift of the contact path: (a) case 1 and (b) case 2

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Fig. 17

The influence of the misalignment on the GTE: (a) the GTE shape change in case 1, (b) the GTE shape change in case 2, (c) the angle at the GTE peak in case 1, and (d) the angle at the GTE peak in case 2

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Fig. 15

Influence of misalignment on the length of the contact ellipse in case 2

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Fig. 14

Influence of misalignment on the length of the contact ellipse in case 1: (1) no misalignments, (2) predesigned length, (3) Δq = 0.2 mm, (4) ΔE = 0.3 mm, and (5) Δγ = 0.02 deg

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