Geometric error measurement of spiral bevel gears and data processing

Abstract

This paper calculates the theoretical tooth surface of spiral bevel gear and, using coordinate measuring machine, inspects the actual tooth surface, which provides an objective and quantitative method for inspecting the tooth surface of spiral bevel gears. For many reasons there are some deviations between the actual tooth surface and the theoretical tooth surface. Based on the differential geometry and space engagement theory, this paper deduces the analytical representation of theoretical tooth surface through the process of gear generation. After comparing the coordinates of the actual gear tooth surface and the theoretical tooth surface, a high-precision analysis graphics of tooth surface errors can be obtained by measuring date processing. A pair of aviation spiral bevel gears manufactured by Phoenix 800PG Grinding machine are inspected by Mahr measurement. The result of comparison of gear surface errors, inspected respectively by the method of this paper and by the Mahr's software, shows the consistency of the error distribution. The experiment verifies the validity and feasibility of the method presented in this paper.