Abstract
Abstract. A new type of toroidal surface enveloping conical worm gearing is proposed in our recent work (Chongfei and Yaping, 2019b). According to its forming principle, the geometrical shape of the generating surface has an important influence on the geometry characteristic of the enveloping worm pair. To explore the reasonable principles for selecting the geometrical parameters of the grinding wheel, some numerical study examples are performed. In this process, the methods for the tooth crest width are developed. Simple strategies for estimating the risk of the worm tooth surface being located in the invalid area and the risk of the curvature interference on the tooth surface are proposed. The numerical result shows that increasing the radius of the toroidal-generating surface and the nominal pressure angle of the grinding wheel are beneficial to improve the engagement behavior of the conical worm pair, but the tooth crest sharpening of the conical worm may happen if they are too large. For the nominal radius of the grinding wheel, it has a negligible effect on the meshing characteristics of this worm set. In addition, the selection principle of the parameters is also suggested.
Highlights
The classical conical worm drive is composed of an Archimedean conical worm and a conical face gear (Litvin, 1997)
To overcome the shortcoming mentioned above, a new type of toroidal surface enveloping conical worm gearing is suggested in our recent work (Chongfei and Yaping, 2019b)
From the perspective of forming principles, the shape of the generating torus has an important influence on the geometry of the tooth surfaces of this new type of enveloping conical worm drive
Summary
The classical conical worm drive is composed of an Archimedean conical worm and a conical face gear (Litvin, 1997). To overcome the shortcoming mentioned above, a new type of toroidal surface enveloping conical worm gearing is suggested in our recent work (Chongfei and Yaping, 2019b). The helical surface of this new type of conical worm is ground by a grinding wheel with the toroidal-generating surface. From the perspective of forming principles, the shape of the generating torus has an important influence on the geometry of the tooth surfaces of this new type of enveloping conical worm drive. It is indispensable to study the geometry of the grinding wheel for the sake of improving the meshing quality of the toroidal surface enveloping conical worm gearing and providing a reasonable principle of parameter selection for the production. Zhao: Studies on tool parameters of the torus enveloping conical worm drive
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