Spherical Involute Spiral Bevel Gear Modeling and Its Tooth Surface Inspection
In order to achieve precise and efficient modeling of spiral bevel gears,based on the theory of spherical in-volute formation,a tooth surface discrete point program is written using MATLAB 2023a software to separately obtain the co-ordinates of discrete points on the concave and convex tooth surfaces of a matched pair of large and small gears.The tooth surface discrete points are subjected to surface fitting using UG NX12.0 software,and individual tooth profiles of both the large and small spiral bevel gears are separately modeled,followed by the completion of their respective tooth blanks.The modeling of both large and small spiral bevel gears is accomplished using a series of commands such as mirroring,arraying,stitching,and merging.Subsequently,the large and small spiral bevel gears are assembled using Creo Parametric 9.0,and gear motion simulation is achieved using the mechanism analysis module.To validate the effectiveness of the model estab-lished,the model is 3D printed,and it is confirmed that the meshing motion of the physical large and small gears is smooth.By separately modeling the large and small tooth surfaces and planning and inspecting measurement points on the tooth sur-faces,the 3D printing error of the tooth surface is obtained.The data analysis reveals that the average error of the tooth sur-face ranges from 0 to 0.16mm,further confirming the effectiveness of the modeling method.
spiral bevel geardiscrete point coordinatesspherical involute theory3D printinginspection