High-Conformal Gearing : Kinematics and Geometry
Stephen P. Radzevich
Abstract
Stephen P. Radzevich
Abstract
Gearing of a novel design is discussed in the paper. A convex tooth profile of the driving helical pinion is entirely located inside the Novikov limiting circle of a radius r N , whereas a concave tooth profile of the driven helical gear is entirely located outside the limiting circle. Generally speaking, high-conforming gearing of the proposed design can be viewed as Novikov gearing for which the degree of conformity at a point of contact of tooth flanks of the gear and the pinion exceeds a critical value, that is, a threshold . It is shown that continuously indexing methods of gear cutting (that is, gear hobbing, and so forth) are not applicable for machining high-conforming gears.
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Gearing of a novel design is discussed in the paper. A convex tooth profile of the driving helical pinion is entirely located inside the Novikov limiting circle of a radius r N , whereas a concave tooth profile of the driven helical gear is entirely located outside the limiting circle. Generally speaking, high-conforming gearing of the proposed design can be viewed as Novikov gearing for which the degree of conformity at a point of contact of tooth flanks of the gear and the pinion exceeds a critical value, that is, a threshold . It is shown that continuously indexing methods of gear cutting (that is, gear hobbing, and so forth) are not applicable for machining high-conforming gears.
Key concepts: Pinion, Hobbing, Cycloid gear, Novikov self-consistency principle, Spiral bevel gear, Geometry, Involute gear, Regular polygon