An Analysis of the Geometry of Gear Hobbing

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Abstract
This paper describes an analytical examination of chip formation in the hobbing of spur gears. The process is analysed by considering relative rather than absolute motion, and is reduced to a two-dimensional problem. The mathematics were carried out on a digital computer. The analysis shows the number of hob teeth engaged in forming a gear tooth space, the shapes of the chips and the volume of metal removed. The analysis is applied to a given hob and gear and the results indicate that: the flanks of the hob teeth remove a greater volume of metal than the tips, but the tips accomplish their metal removal in fewer cuts and are therefore loaded more severely; the volumes of metal removed by, and hence the wear on, the two flanks of a hob tooth are unequal; the machining forces exert a fluctuating and reversing torque on the worktable.

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