Research on Machining Theory of Spiral Bevel Gear NC Machine tool

The machining theory of spiral bevel gear is to get rid of the original Gleason machine tool shaking table, eccentric drum, tool tilting body and tool rotation mechanism from the machine tool structure, and according to the model of spiral bevel gear CNC machine tool first developed by Gleason Company, the Cartesian coordinate system is established. the coordinate of the discrete point of the tooth surface is obtained by solving the tooth surface equation, and the parameters of the machine tool are adjusted according to the processing method of large and small wheels. It provides a theoretical basis for the development of CNC spiral bevel gear machine tools.

1. The meshing principle of spiral bevel gear is introduced, including tangent plane, normal vector, surface curvature and induced normal curvature of space surface. Among them, the relative differential is the tool, and the induced normal curvature is the key point. The blank design and tooth cutting calculation are summed up as the pitch plane parameters and node curvature of a pair of spiral bevel gears.

2. According to the Gleason NC machine tool, the structure of the machine tool is analyzed, the mathematical model of the machine tool and the mathematical model of the tooth surface are established in the Cartesian coordinate system, and the tooth surface of the spiral bevel gear is discretized, and the tooth surface coordinates are solved through the input of basic parameters. Finally, the tooth surface is simulated.

3. Starting from the forming method of the bevel gear, the parameters of the machine tool are adjusted according to the nodal plane parameters of the production wheel and the relative position relationship between the production wheel and the workpiece. And compile the corresponding program.

4. Through the analysis of the tooth surface model, according to the position relationship between the cutter head and the machined gear, the information of the tool point-the tool center coordinate and the tool axis vector in the NC machining of spiral bevel gear is deduced.

5. Based on the five-coordinate NC post-processing principle, according to the established machine tool model, the post-processing formula of spiral bevel gear CNC machine tool is deduced.

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