S1101-3-4 歯車の歯当たりとかみ合い評価法について : 可展円筒歯車歯面の図式展開について(伝動装置の基礎と応用セッション3)

Abstract

Tooth bearing patterns give us very useful information about gear engagement situations. However, the detail analysis of gear engagement using actual contact patterns is not enough up to now, because the actual patterns are normally captured by a still camera as projected images. In the case of the involute helicoid surface, it is possible to develop it onto the plane geometrically. It is more convenient to compare the actual patterns with simulated ones on the plane. In this paper, geometrical developable surfaces are classified in the first place, and the involute helicoid surface is developed onto the plane geometrically with the help of the geodesic curvatures of tooth profiles and tooth leads. It is found that the lead circular helices are developed as the concentric circles on a plane, and the involute tooth profile is developed as an involute curve which has a certain diameter of a base circle.