Abstract
This article presents a sphere–face gear pair by substituting the convex spherical gear for the pinion of a conventional face gear pair. The sphere–face gear pair not only maintains the advantages of the face gear pair with a longitudinally modified pinion but also allows variable shaft angles or large axial misalignments. Meshing characteristics of the proposed gear pair are studied in this article. The mathematical models of the sphere–face gear pair are derived based on machining principles. The tooth contact analysis (TCA) and curvature interference check are conducted for the sphere–face gear pair with variable shaft angles. The loaded TCA is also implemented utilizing the finite element method. The results of numerical examples show that proposed gear pair has the following features. Geometrical transmission error of constant shaft angle or varying shaft angle is zero; contact points of the sphere–face gear set with variable shaft angle are located near the centre region of face gear tooth surface; there is no curvature interference in meshing; and transmission continuity of the gear pair can be guaranteed in meshing.
Highlights
The face gear drive is composed of a cylindrical pinion and a bevel gear
The contact ratio is calculated as 1.58, 1.65, 1.65 and 1.65, respectively, when b = À 68, À 38, 38 and 68. These results show that the shaft angle variation does not cause a high reduction in the contact ratio
A sphere–face gear pair is proposed with the pinion of a convex spherical gear
Summary
The face gear drive is composed of a cylindrical pinion and a bevel gear. It is more capable of handling larger reduction ratios than the bevel gear drive because of its geometry. Keywords Sphere–face gear pair, mathematical model, tooth contact analysis, curvature interference, contact ratio With the purposes of studying the feasibility of this new face gear drive and understanding its meshing characteristics, mathematical models are derived, the curvature interference is checked, and unloaded and loaded TCAs with variable shaft angles are implemented.
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