インボリュート歯車に共役な傘状歯車の研究

抄録

The purpose of this study is to simplify the tooth flank design of conjugate gears meshing with involute cylindrical gears on non-parallel axes. In this study we have so far clarified and reported that a face gear, which is a gear conjugate to an involute cylindrical gear, has a straight meshing contact line of action in three-dimensional space. The meshing point between the involute cylindrical gear and conjugate gear proceeds at a constant speed along the straight line of action. The straight line of action is continuous and exists as a curved surface. We named it the meshing contact surface of action. We will discuss the meshing between involute helical cylindrical gears and bevel shaped conjugate gears with crossed axes and tilted axes. In this report, as a first step in researching this complex gear, we use generation analysis from the cross-sectional tooth profile of an involute helical gear, to clarify a method for numerically calculating the tooth profile of a bevel gear.