Efficient side edge finish-milling machining method based on Niemann worm wheel mathematical model
A mathematical model and processing method technology, applied in the field of CAM, can solve the problems of large tool swing angle range, low surface quality and high cost
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[0066] A high-efficiency side edge finish milling method based on the Niemann worm gear mathematical model, comprising the following steps:
[0067] Step 1: Solve the maximum normal curvature of a meshing point on the worm tooth surface;
[0068] 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, is the equation of the tooth surface of the worm, where ψ represents the radial position of the point on the tooth surface of the worm, Indicates the axial position of the point on the tooth surface of the worm. 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 :
[0069]
[0070] Among them, k n is the curvature value, k n 2 is the squa...
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