Abstract
A crossed helical gear is a hypoidal gear in which the pitch surface is a cylinder. Therefore, a crossed helical gear should be treated as a special case of the hypoid gear. From this point of view, this study visualizes the present problem of crossed helical gears, and considers the possibility of meshing with line contact. In this first paper, the relationships of the third-order surface contact for the tooth surface of hypoid gear are arranged and next going to use for the crossed helical gears. Moreover, the limit normal curvature and limit geodesic torsion of their tooth surfaces are described.
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