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]

Issue Section:
Technical Papers
Keywords:
machine tools, machine theory, machining, computer aided engineering, Mathematical Model, Hypoid Gear, Spiral Bevel Gear, Supplemental Flank Correction Motions
Topics:
Cutting, Generators, Kinematics, Machinery, Spiral bevel gears, Milling, Rotation, Computer programming
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 by ASME
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