Method for measuring plane secondary enveloping ring surface hobbing cutter
A technology of plane secondary envelope and measurement method, applied in measurement devices, instruments, etc., can solve the problems of influence, complex shape, lack of detection methods, etc.
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[0055] The following is a further description of the measurement of the three error items of the cutting edge helix error, cutting edge tooth profile error and chip flute pitch error of the planar quadratic enveloping torus hob in combination with the attached drawings:
[0056] 1. Measurement of cutting edge helix error
[0057] 1) Establish a mathematical model for the helical error of the planar quadratic enveloping torus hob
[0058] i) with figure 1 Based on the coordinate system in , according to the principle of space meshing, the mathematical model of the tooth surface of the plane quadratic enveloping torus hob corresponding to the worm is established, as shown in the formula (1):
[0059]
[0060] where S 1 (O 1 -x 1 ,y 1 ,z 1 ) and S 2 (O 2 -x 2 ,y 2 ,z 2 ) are the motion coordinate system fixedly connected with the planar quadratic enveloping toroidal worm and the worm wheel respectively, is the angle the worm rotates around the axis of rotation fro...
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