A high-efficiency side edge finish milling method based on the mathematical model of Niemann worm gear
A mathematical model and processing method technology, applied in the field of CAM, can solve problems such as high cost, long processing cycle, and inconformity with the actual processing environment
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[0065] A high-efficiency side edge finish milling method based on the Niemann worm gear mathematical model, comprising the following steps:
[0066] Step 1: Solve the maximum normal curvature of a meshing point on the worm tooth surface;
[0067] Based on the principle of gear meshing and calculus geometry, the mathematical model of the Niemann worm pair is established in the three-dimensional software. axial position. Through the known worm tooth surface equation and the coordinates of a certain contact point, combined with the calculation formula of the basic quantity, the first and second basic quantities of the curved surface are obtained; k of the principal curvature of the surface g1 、k g2 :
[0068]
[0069] Among them, k n is the curvature value, k n 2 is the square of the curvature value, E, F, G, L, M, N are the first and second basic quantities of the surface respectively; put the calculated basic quantities into the above formula to solve the two principa...
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