Profile Shifted Conical Involute Gear With Deep Tooth Depth

Abstract

This paper proposes a new design method for profile shifted conical gear with deep tooth depth. This method has two new concepts. First, this method is based on the designed pitch point where the rack shift coefficient is not zero. Second, this method is based on the theory of nonintersecting bevel gear such as hypoid gear, to decide the mounting dimensions of the profile shifted conical involute gears with deep tooth depth. The profile shifted conical involute gears have the designed pitch point that is not the standard pitch point. Limits of the rack shift coefficient and the facewidth, for the undercut and the zero top land, are clarified. Next, the production system is shown, and several typical test gears are manufactured. Paths of contact between tooth surfaces of profile shifted conical gears are obtained by tooth bearing tests. As a result, the measured value of limits of the rack shift coefficient and the facewidth on the manufactured tested gears are in good agreement with the theoretical ones. Moreover, test results of tooth bearing are in good agreement with the theoretical ones.

Concave modifications of tooth surfaces of beveloid gears with crossed axes

“…Therefore, the normal vector can be used to solve this problem. The direction of the resultant force and normal vector is consistent, so the resultant force can be resolved based on equation (2). In the coordinate S t of Figure 2, the y t direction is the circumference force direction.…”

“…In recent years, some researches have been performed on the geometry design, tooth modification, and tooth contact analysis. Ohmachi et al 2 proposed a novel geometry design method for profile shifted conical gear with deeper tooth depth based on the designed pitch point where the rack shift coefficient is not zero. Wu and Tsai 3,4 proposed a macrogeometry design procedure for crossed beveloid gear drives in approximate line contact, which is characterized by reducing edge contact sensitivity and increasing surface durability.…”

Computational Tooth Root Stress Analysis of Crossed Beveloid Gears with Small Shaft Angle

“…However, the low-load capacity due to theoretical point contact limited the application of this kind of gears to power transmission with non-parallel axes. Recently, there have been extensive studies performed on synthesis of machine tool and cutter settings to manufacture higher precision tooth profiles [1][2][3][4][5]. However, for crossed beveloid gear with small shaft angle, none studied the effect of cutter settings and load effects on root stress and load distribution on tooth surface.…”