Research Of Large Spiral Bevel Gear Error Analysis And Correction Technology

Spiral bevel gear as a foundation component for realizing the intersecting shaft transmission, is widely applied in each industrial areas. Because of its complex meshing theory, the spiral bevel gear processing theory and technology equipment are also very complicated. Although some foreign gear measurement centers can get the geometry information on the real tooth surfaces of spiral bevel gears, the price is expensive and the technology is blockaded. The domestic research is started later than the foreign research, and the gear surface measurement technology is relatively backward. Therefore, the research on measurement and tooth surface reconstruction technology of spiral bevel gear are particularly important.In this paper, according to the principle of gear engagement and processing principle of spiral bevel gears, the mathematical modeling is realized, and the research on the processing principle and method of big wheels and small wheels is processed. Based on the measurement mesh divided of the theoretical tooth surface, the theory coordinates of the measurement nodes are solved by using the MATLAB language program. According to the entity structure of the spiral bevel gear milling machine, the measured coordinate system is founded. The measuring head center coordinates are turned into the coordinates of work coordinate system by the homogeneous coordinate transformation matrix. According to the divided of measurement meshing, path of measuring needle is planned.In this paper, the NURBS method is used to reconstruct the tooth surface. The node vector is structured by the accumulate chord length method, and the uniform b-spline basis functions is constructed. The control point range is solved by using the measurement-control point equations, and finally the reconstruction error analysis is realized according to the reconstruction of the tooth surface, it is proved that the surface reconstruction can meet the practical engineering application. The TCA analysis and D-value surface analysis are realized by using the reconstruction surface. According to the processing characteristics of the spiral bevel gear, the overall error is divided. Finally the analysis of typical errors, such as tooth space deviation, tooth profile error, gear surface contact area error and kinematics error, are achieved, and the correction calculation of the gear surface contact area and kinematics error is achieved.