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During the shovel grinding of the hob teeth side, the hob rotates along its own axis, the grinding wheel rotates and has a horizontal feed in the axial direction of the hob and a radial horizontal feed along the axial direction of the vertical hob. The axis of the grinding wheel generally has a horizontal moving angle and a vertical moving angle with respect to the axis of the hob, and the grinding wheel shaft descends or raises the distance with the grinding head seat. To make the calculation simple, the common axis of the machine tool spindle and the grinding wheel shaft is taken as a common coordinate axis, thereby Establish the shovel initial position coordinate system. Machine coordinate system = {oh; xh, yh, zh}, grinding wheel coordinate system w = {ow; xw, yw, zw}. Where zh is along the axis of the hob and zw is along the axis of the grinding wheel.
Since the grinding wheel has a radial horizontal feed, it is also necessary to know the angle between xh and the horizontal plane. Can be introduced, and the relationship is = arccos (coscos) = arcsin-1 (-sin / sin2 tan2), set zh, zw2 axis initial center distance ohow = A, grinding wheel axial feed constant is p0, hob right tooth The side spiral constant is p, the radial turning constant of the grinding wheel is kc, and the distance from the origin ow of the coordinate to the apex of the grinding head is l=-(h Asin)/sin, the counterclockwise rotation is positive, and the h elevation is positive.
Tool toothed diaphragm pressure gauge re-grinding error solution model: for the convenience of calculation and consistent with the actual measurement direction, the tool tooth shape re-grinding error is defined as the axial direction, generally greater than the normal error under the same coordinate, so the tool The tooth-shaped re-grinding error is the difference between the axial coordinate of the tool's actual shovel side and the theoretical flank along the same rake face. Assuming that the hob does not move, the actual shovel surface of the hob is the envelope surface formed under the combined motion conditions of the grinding wheel about the axis of the hob and the axial and radial horizontal feed.