The tooth surface error directly affects the meshing performance of the tooth surface. Due to the inevitable machining error and heat treatment deformation, the actually processed gear tooth surface often deviates from the theoretically designed tooth surface, resulting in the meshing performance of the two paired tooth surfaces unable to meet the design requirements, causing a series of vibration noise and strength problems. Therefore, the tooth surface error sensitivity of cycloid hypoid gear is mainly analyzed in order to obtain the machining parameter combination that has a great impact on the tooth surface geometry, and on this basis, the tooth surface error pre correction research is carried out.
Because the cycloid hypoid gear can not effectively reduce this error through the finishing method after heat treatment (such as the involute gear can be ground, and the cycloid gear can be scraped), the tooth surface error pre correction has become an effective way. This pre correction technology is to select the combination of machining parameters that have a great impact on the geometry of the tooth surface when the law of tooth surface error and the influence law of machining parameters on the geometry of the tooth surface are known. During the machining process, this group of machining parameters are adjusted in advance, so that the final tooth surface processed after adjusting the machining parameters is as close as possible to the design tooth surface. This method has two prerequisites:
First, the law of tooth surface error, that is, this method is only effective when the tooth surface error can be repeated. For the same batch of products, because the blank materials are the same, the processing equipment is the same, the machining and heat treatment processes are the same, and the measuring equipment is the same, it is generally considered that this law is approximate, which can be obtained through the statistical analysis of the measurement data in the trial production stage;
Secondly, the sensitivity coefficient matrix, that is, the sensitivity matrix, is used to express the relationship between machining parameters and tooth surface error. The sensitivity matrix is obtained on the basis of sensitivity analysis.
The calculation method of the tooth surface error of cycloid hypoid gear and its sensitivity coefficient matrix relative to each machining parameter is given. The sensitivity of tooth surface error to tool parameters, cutter head parameters, machine tool setting parameters and the first six order hobbing ratio correction polynomial coefficients is analyzed. On this basis, the tooth surface error pre correction optimization model is established, which can be solved by SQP method. The idea of tooth surface error pre correction has an important application in tooth surface active design technology.