Simple mathematical approach for analyzing gear tooth profile errors of different gears cut using same power-skiving tool

Abstract

Power-skiving is one of the most efficient methods for cutting internal gears. However, the same power-skiving tool can only be used to cut gears with the same parameters. Accordingly, this paper proposes a simple mathematical method for analyzing the gear tooth profile errors produced when using the same power-skiving tool to cut gears with different parameters. The feasibility of the proposed method is demonstrated by means of an illustrative example. It is shown that a reduction in the number of gear teeth (or gear helix angle) has a greater impact on the tooth profile error than an increase in the number of gear teeth (or gear helix angle). Overall, the proposed error analysis method provides a useful insight into the machining flexibility of a specific power-skiving tool.