Abstract

The tooth surfaces of crossed helical gears are an involute helicoid, therefore they contact each other at a single point on the contact line. It is well-known that the tooth bearing is not good and sometimes causes tooth wear or failure. This paper explains how short, narrow, very biased the tooth bearing becomes, using the third-order surface analysis of the hypoid gears, and it clarifies that the contact patterns of the two involute helicoids become elliptical and the tooth bearing can be shown by an equiclearance line between the tooth surfaces.

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