A mathematical model of universal hypoid generator is proposed to simulate virtually all primary spiral bevel and hypoid cutting methods. The proposed mathematical model simulates the face-milling, face-hobbing, plunge cutting, and bevel-worm-shaped hobbing processes with either generating or nongenerating cutting for the spiral bevel and hypoid gears. The supplemental kinematic flank correction motions, such as modified generating roll ratio, helical motion, and cutter tilt are included in the proposed mathematical model. The proposed mathematical model has more flexibility in writing computer program and appropriate for developing the object oriented computer programming. The developed computer object can be repeatedly used by various hypoid gear researchers to reduce the effort of computer coding. [S1050-0472(00)01201-0]
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March 2000
Technical Papers
Mathematical Model of Universal Hypoid Generator With Supplemental Kinematic Flank Correction Motions
Zhang-Hua Fong, Associate Professor,
Zhang-Hua Fong, Associate Professor,
National Chung-Cheng University, Department of Mechanical Engineering, 160 San-Hsin, Chia Yi 621, Taiwan, R.O.C.
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Zhang-Hua Fong, Associate Professor,
National Chung-Cheng University, Department of Mechanical Engineering, 160 San-Hsin, Chia Yi 621, Taiwan, R.O.C.
Contributed by the Power Transmission and Gearing Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received May 1999; revised Jan. 2000. Associate Technical Editor: R. F. Handschuh.
J. Mech. Des. Mar 2000, 122(1): 136-142 (7 pages)
Published Online: January 1, 2000
Article history
Received:
May 1, 1999
Revised:
January 1, 2000
Citation
Fong, Z. (January 1, 2000). "Mathematical Model of Universal Hypoid Generator With Supplemental Kinematic Flank Correction Motions ." ASME. J. Mech. Des. March 2000; 122(1): 136–142. https://doi.org/10.1115/1.533552
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