Abstract
Curve-face gear drive is a new type of variable transmission ratio gear pair between the intersecting axes based on the face gear pair. And tooth width is one of the main geometrical factors of curve-face gear which affects the intensity of tooth root. This article uses the method of boundary function and geometric approximate evaluation to investigate the undercutting and pointing conditions of curve-face gear considering the tooth profile difference. The equations of tooth profile distribution angle and engagement angle are derived using the coordinate transformation theory. On this basis, the equations of the theoretic undercutting and pointing conditions are deduced, and the undercutting inner diameter and pointing outer diameter of the tooth profile are simulated using mathematical software. Then, the corresponding phenomenon of undercutting and pointing of curve-face gear are analyzed. In the end, the feasibility of the theoretical calculation is received by the experiment of curve-face gear.
Highlights
Curve-face gear pair is a new type of variable transmission ratio drive between the intersecting axes, which combines the common transmission characteristics of non-cylindrical gear, bevel gear, and face gear
In the inner diameter of curve-face gear, due to the existence of the undercut boundary line, it limits the inner diameter of the face gear; and in its outer diameter, addendum thickness decreases due to the constraint of constantheight tooth, which results in the intersection of the tooth surface
The undercutting and pointing conditions of curve-face gear considering the tooth profile difference are analyzed based on the theory of boundary function and geometric approximate evaluation
Summary
Curve-face gear pair is a new type of variable transmission ratio drive between the intersecting axes, which combines the common transmission characteristics of non-cylindrical gear, bevel gear, and face gear. The mathematical models of undercutting and pointing of curve-face gear considering tooth profile difference are derived, which combines the theory of finite element, geometric approximate evaluation, and coordinate transformation.
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