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TECHNICAL PAPERS

Tooth Undercutting of Beveloid Gears

[+] Author and Article Information
Chia-Chang Liu, Chung-Biau Tsay

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan 300, R.O.C.

J. Mech. Des 123(4), 569-576 (May 01, 2000) (8 pages) doi:10.1115/1.1414128 History: Received May 01, 2000
Copyright © 2001 by ASME
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References

Merrit, H. E., 1954, “Conical Involute Gears,” Gears, 3rd. ed., Issac Pitman and Sons, London, pp. 165–170.
Beam,  A. S., 1954, “Beveloid Gearing,” Mach. Des., 26, No. 12, pp. 220–238.
Mitome,  K., 1981a, “Table Sliding Taper Hobbing of Conical Gear Using Cylindrical Hob, Part 1: Theoretical Analysis of Table Sliding Taper Hobbing,” ASME J. Eng. Ind., 103, pp. 446–451.
Mitome,  K., 1981b, “Table Sliding Taper Hobbing of Conical Gear Using Cylindrical Hob, Part 2: Hobbing of Conical Involute Gear,” ASME J. Eng. Ind., 103, pp. 452–455.
Mitome,  K., 1983, “Conical Involute Gear, Part1: Design and Production System,” Bull. JSME, 26, No. 212, pp. 299–305.
Mitome,  K., 1985, “Conical Involute Gear, Part 3: Tooth Action of a Pair of Gears,” Bull. JSME, 28, No. 245, pp. 2757–2764.
Mitome,  K., 1986, “Inclining Work-Arbor Taper Hobbing of Conical Gear Using Cylindrical Hob,” ASME J. Mech. Des., 108, pp. 135–141.
Mitome,  K., 1991, “Conical Involute Gear (Design of Nonintersecting-Nonparallel-Axis Conical Involute Gear),” JSME Int. J., Ser. III, 34, No. 2, pp. 265–270.
Mitome,  K., 1993, “Infeed Grinding of Straight Conical Involute Gear,” JSME Int. J., Ser. C, 36, No. 4, pp. 537–542.
Mitome,  K., 1995, “Design of Miter Conical Involute Gears Based on Tooth Bearing,” JSME Int. J., Ser C, 38, No. 2, pp. 307–311.
Mitome,  K., Gotou,  T., and Ueda,  T., 1998, “Tooth surface measurement of conical involute gears by CNC gear-measuring machine,” ASME J. Mech. Des., 120, pp. 358–363.
Litvin, F. L., 1989, Theory of Gearing, NASA Publication RP-1212, Washington D.C.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, New Jersey.

Figures

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The normal section imaginary rack cutter
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Relations among coordinate systems Sn,Sp and Sc
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Coordinate relationship between the imaginary rack and cutter generated gear
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Undercutting of straight beveloid gear
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Undercutting of helical beveloid gear
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The profiles of rack cutter and generated beveloid gear on the plane rotation; (a) straight beveloid gear, (b) helical beveloid gear
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The tooth profile of helical beveloid gear (αn(l)n(r)=20 deg) and base circles on the plane of rotation
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The theoretical and actual tooth undercutting points
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The tooth profile of helical beveloid gear (αn(l)=20 deg,αn(r)=30 deg) and base circles on the plane of rotation
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Straight beveloid gear teeth with full, stub varying working depths
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Schematic of varying depth hob cutter
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Schematic of inclining work-arbor taper hobbing
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The movement of hob cutter

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