Involute helical surface inner meshing line contact conjugate surface analysis method and curved surface tooth cutting tool

Abstract

The invention relates to the field of high-precision gear machining, in particular to an involute helical surface inner meshing line contact conjugate surface analysis method. The method comprises the steps that S1, an object needing to be solved is determined to be two involute helical surfaces M and N on the two sides of a tooth groove of a gear honing grinding wheel, a movable coordinate system S1(O1-x1y1z1) is established, the z1 axis coincides with the axis of an inner tooth workpiece, the plane O1x1y1 is parallel to the end surface of the inner tooth workpiece, the distance between the plane O1x1y1 and the end surface is half of the tooth width, the x1 axis penetrates through the tooth groove center of the inner tooth workpiece, and the movable coordinate system S1 is fixedly connected with the inner tooth workpiece; S2, initial required parameters rb, sigma0, theta, u and p for solving the involute helical surfaces M and N are obtained respectively, rb is the radius of a base circle of the involute, sigma0 represents the initial position of the involute, theta is the rotation angle of the involute around the axis z1, u is the field angle of the involute, and p is the movement distance along the axis z1. The invention further discloses a surface tooth cutting tool. The technical problem to be solved is to provide the involute helical surface inner meshing line contact conjugate surface solving method and the curved surface tooth cutting tool which are beneficial to rapid design of tools and grinding tools.

Description

technical field [0001] The invention relates to the field of high-precision gear processing, in particular to an analysis method for contacting a conjugate surface of a meshing line in an involute helical surface and a curved surface gear cutting tool. Background technique [0002] Gear cutting is a high-efficiency and high-precision gear dry cutting technology. In the gear cutting process system, the gear cutting knife is the most important component. In recent years, preliminary results have been obtained in the research on the design of gear cutters, but the current design theory is not enough to solve the problems in production practice in a timely manner. [0003] For the involute helicoid tooth surface of cut teeth, the conjugate surface of the internal meshing line contact is not the theoretical involute helicoid, but a special curved surface. Efficiently solving the conjugate surface of the internal meshing line contact of the high-precision involute helical surfac...

AI Technical Summary

Problems solved by technology

For example, in Document 6, UG software is used to simulate the cutting motion, and the shaving cutter body is cut back through the inner ring gear body. Radial shaving is also a kind of internal meshing line contact processing technology, so the tooth surface of the shaving cutter cut out is actually The meshing line in the involute helical surface contacts the conjugate surface, the smaller the division of the simulated cutting motion, the higher the solution accuracy, but the slower the solution speed, the solved conjugate surface is connected by small grooves, not continuous smooth surface, and the conjugate surface data is located on the solid model, which needs to be further extracted, which is not conducive to the rapid design of cutting tools and grinding tools

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