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TECHNICAL PAPERS

Mathematical Models and Contact Simulations of Concave Beveloid Gears

[+] Author and Article Information
Chia-Chang Liu

Department of Mechanical Engineering, Ching Yun Institute of Technology, Jung-Li, Taiwan 320, R.O.C.

Chung-Biau Tsay

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan 30010, R.O.C.

J. Mech. Des 124(4), 753-760 (Nov 26, 2002) (8 pages) doi:10.1115/1.1517563 History: Received April 01, 2001; Online November 26, 2002
Copyright © 2002 by ASME
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References

Mitome,  K., 1981, “Table Sliding Taper Hobbing of Conical Gear Using Cylindrical Hob, Part 1: Theoretical Analysis of Table Sliding Taper Hobbing,” ASME J. Ind., 103, pp. 446–451.
Mitome,  K., 1985, “Conical Involute Gear, Part 3: Tooth Action of a Pair of Gears,” Bull. JSME, 28(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(2), pp. 265–270.
Mitome,  K., 1993, “Infeed Grinding of Straight Conical Involute Gear,” JSME International Journal, Series C , 36(4), pp. 537–542.
Mitome, K., Ohmachi, T., Komatsubara, H., and Tamura, T., 1999, “Generating of Straight Concave Conical Gear,” Proceedings, 4th World Cong. on Gearing Power Transmission, Paris, pp. 851-858.
Komatsubara, H., Mitome, K., Ohmachi, T., and Watanabe, H., 1999, “Development of Concave Conical Gear Used for Marine Transmission,” Proceedings, 4th World Cong. on Gearing Power Transmission, Paris, pp. 683-695.
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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Infeed grinding mechanism for concave beveloid gears
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Formation of the grinding wheel surface Σj in coordinate system Sw(j)(Xw(j),Yw(j),Zw(j))
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Coordinate relationship between the grinding wheel and the generated gear
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Schematic relationship for the meshing of pinion, gear and the pitch plane of the imaginary engaging rack
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Assembly error simulation of the beveloid gear
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Beveloid gear pairs with intersected and crossed axes
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Bearing contacts of the straight concave beveloid gear pair ground by grinding wheels with different rw(j)
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Bearing contacts of the straight concave beveloid pair with assembly errors.
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Bearing contacts of helical concave beveloid gear pairs ground by Mitome’s grinding method with different rw(j)
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Transmission errors of helical concave beveloid gear pairs ground by Mitome’s grinding method
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Bearing contacts of helical concave beveloid gear pairs ground by novel grinding method with different rw(j)
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Bearing contacts of helical concave beveloid pairs ground by novel grinding method with assembly errors

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