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Research Papers: Design of Direct Contact Systems

An Approach for Determination of Basic Machine-Tool Settings From Blank Data in Face-Hobbed and Face-Milled Hypoid Gears

[+] Author and Article Information
Ignacio Gonzalez-Perez

Department of Mechanical Engineering,
Politechnic University of Cartagena,
Cartagena 30202, Spain
e-mail: ignacio.gonzalez@upct.es

Alfonso Fuentes

Department of Mechanical Engineering,
Polytechnic University of Cartagena,
Cartagena 30202, Spain
e-mail: alfonso.fuentes@upct.es

Ramon Ruiz-Orzaez

Department of Mechanical Engineering,
Polytechnic University of Cartagena,
Cartagena 30202, Spain
e-mail: rro0@alu.upct.es

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received March 9, 2015; final manuscript received June 17, 2015; published online July 22, 2015. Assoc. Editor: Hai Xu.

J. Mech. Des 137(9), 093303 (Jul 22, 2015) Paper No: MD-15-1201; doi: 10.1115/1.4031024 History: Received March 09, 2015

The conditions of meshing and contact in hypoid gear drives depend substantially on the machine-tool settings to be applied. Determination of gear geometry is the first step in the design process of a hypoid gear drive. An approach for determination of basic machine-tool settings for face-hobbed and face-milled hypoid gears is proposed, covering the cases when the gear is generated and nongenerated. Gear basic machine-tool settings are determined from the blank data that can be obtained from application of Standard ANSI/AGMA 2005-C96. Some machine-tool settings are determined analytically considering the imaginary generation of the gear by a crown gear. Some other machine-tool settings are obtained numerically in order to provide some given blank data as the normal chordal tooth thickness and the normal pressure angles of the gear teeth. The developed theory is illustrated with numerical examples.

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References

Litvin, F. L. , Chaing, W.-S. , Kuan, C. , Lundy, M. , and Tsung, W. J. , 1991, “Generation and Geometry of Hypoid Gear-Member With Face-Hobbed Teeth of Uniform Depth,” Int. J. Mach. Tools Manuf., 31(2), pp. 167–181. [CrossRef]
Stadtfeld, H. J. , 2000, Advanced Bevel Gear Technology, The Gleason Works, Rochester, NY.
Vecchiato, D. , 2004, “Computerized Design, Simulation of Face-Hobbed Hypoid Gears, and Tooth Contact Analysis of Loaded Gear Drives by Boundary Element Method,” Ph.D. thesis, University of Illinois, Chicago, IL.
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]
Vimercati, M. , 2007, “Mathematical Model for Tooth Surfaces Representation of Face-Hobbed Hypoid Gears and Its Application to Contact Analysis and Stress Calculation,” Mech. Mach. Theory, 42(6), pp. 668–690. [CrossRef]
Shih, Y.-P. , Fong, Z.-H. , and Lin, G. C. Y. , 2007, “Mathematical Model for a Universal Face Hobbing Hypoid Gear Generator,” ASME J. Mech. Des., 129(1), pp. 38–47. [CrossRef]
Litvin, F. L. , and Gutman, Y. , 1981, “Methods of Synthesis and Analysis for Hypoid Gear Drives of Formate and Helixform—Part 1,” ASME J. Mech. Des., 103(1), pp. 83–88. [CrossRef]
Litvin, F. L. , and Gutman, Y. , 1981, “Methods of Synthesis and Analysis for Hypoid Gear Drives of Formate and Helixform—Part 2,” ASME J. Mech. Des., 103(1), pp. 89–101. [CrossRef]
Litvin, F. L. , and Gutman, Y. , 1981, “Methods of Synthesis and Analysis for Hypoid Gear Drives of Formate and Helixform—Part 3,” ASME J. Mech. Des., 103(1), pp. 102–110. [CrossRef]
Zhang, Y. , Litvin, F. L. , and Handschuh, R. F. , 1995, “Computerized Design of Low-Noise Face-Milled Spiral Bevel Gears,” Mech. Mach. Theory, 30(8), pp. 1171–1178. [CrossRef]
Lin, C.-Y. , Tsay, C.-B. , and Fong, Z.-H. , 1997, “Mathematical Model of Spiral Bevel and Hypoid Gears Manufactured by the Modified Roll Method,” Mech. Mach. Theory, 32(2), pp. 121–136. [CrossRef]
Gosselin, C. , Nonaka, T. , Shiono, Y. , Kubo, A. , and Tatsuno, T. , 1998, “Identification of the Machine Setting of Real Hypoid Gear Tooth Surfaces,” ASME J. Mech. Des., 120(3), pp. 429–440. [CrossRef]
Kawasaki, K. , and Tamura, H. , 1998, “Duplex Spread Blade Method for Cutting Hypoid Gears With Modified Tooth Surface,” ASME J. Mech. Des., 120(3), pp. 441–447. [CrossRef]
Argyris, J. , Fuentes, A. , and Litvin, F. L. , 2002, “Computerized Integrated Approach for Design and Stress Analysis of Spiral Bevel Gears,” Comput. Methods Appl. Mech. Eng., 191(11–12), pp. 1057–1095. [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]
Achtmann, J. , and Bär, G. , 2003, “Optimized Bearing Ellipses of Hypoid Gears,” ASME J. Mech. Des., 125(4), pp. 739–745. [CrossRef]
Simon, V. , 2005, “Optimal Tooth Modifications in Hypoid Gears,” ASME J. Mech. Des., 127(4), pp. 646–655. [CrossRef]
Fan, Q. , 2010, “Tooth Surface Error Correction for Face-Hobbed Hypoid Gears,” ASME J. Mech. Des., 132(1), p. 0110041. [CrossRef]
Artoni, A. , Gabiccini, M. , Guiggiani, M. , and Kahraman, A. , 2011, “Multi-Objective Ease-Off Optimization of Hypoid Gears for Their Efficiency, Noise, and Durability Performances,” ASME J. Mech. Des., 133(12), p. 121007. [CrossRef]
Gonzalez-Perez, 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]
American Gear Manufacturers Association, 2005, ANSI/AGMA 2005-C96, Design Manual of Bevel Gears, AGMA, Alexandria, VA.
Litvin, F. L. , and Fuentes, A. , 2004, Gear Geometry and Applied Theory, 2nd ed., Cambridge University Press, New York.
Jaluria, Y. , 1996, Computer Methods for Engineering, Taylor & Francis, New York.

Figures

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Fig. 1

Hypoid gear being generated by a face-hobbing cutter

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Fig. 2

Hypoid gear being generated by a face-milling grinding wheel

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Fig. 3

For the definition of the geometry of blades

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Fig. 4

Assembly of a group of blades in a face-hobbing cutter

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Fig. 5

A right-hand face-hobbing cutter

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Fig. 6

Geometry of the cutting edges of a face-milling grinding wheel

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Fig. 7

Coordinate systems for generation of a right-hand gear

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Fig. 8

Layout of a hypoid gear drive for face-hobbed gears

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Fig. 9

For the illustration of some gear tooth blank data related to the mean normal section of the gear tooth

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Fig. 10

Plane xy of the cutting machine for a face-hobbed gear

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Fig. 11

Plane xz of the cutting machine for a face-hobbed gear

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Fig. 12

Mean normal section of a gear tooth

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Fig. 13

Plane xy of the cutting machine for a face-milled gear

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Fig. 14

Plane xz of the cutting machine for a face-milled gear

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