Research on Spiral Bevel Gear Detection Based on Environmental Tooth Surface Error Correction Method

Abstract

This paper studies the influence of the machine tool adjustment parameter error on the tooth surface error of the spiral bevel gear wheel processed by the double helix method. Based on the gear meshing principle, MATLAB software was used to establish the error tooth surface equation, and the analytical formula of the discrete point error of the tooth surface containing the machine tool adjustment parameter errors was derived. The topological map of the concave and convex tooth surface errors corresponding to the machine tool adjustment parameter errors was obtained and analyzed. The mapping relationship between machine tool adjustment parameter errors and tooth surface errors is determined, and the adjustment parameters that have a greater influence on the tooth surface errors are determined. With the help of the approximate expression of the topological diagram of the tooth surface error by the second-order surface, the influence weight of the machine tool adjustment parameter error on the tooth surface error is obtained. Based on the tooth surface error and the two-tooth surface error sensitive matrices, a tooth surface error correction model was established. The least square method of the generalized inverse matrix was used to transcend the equations to obtain the correction amount of the machine tool adjustment parameters. Finally, an example is used to verify the correction effect of the error tooth surface. The results show that the error of the tooth surface on the concave and convex sides after the correction is greatly reduced.