Models for evaluating the contour quality of revolving cutter with involute generator

Abstract

The toroid-shaped helical cutter with an involute generator is a precision tool used in the machining of involute helical gears. Taking the axis of the minimum circumscribed cylinder of the measured points on the cylinder shank as the datum axis, this paper provides models of the minimum circumscribed involute revolving surface and the minimum circumscribed toroid-shaped revolving surface. This paper also presents models for evaluating the contour quality of a toroid-shaped cutter with an involute generator. The validity and accuracy of these models are confirmed by worked examples.

Evaluation of the profile of the taper ball-end milling cutter with a cylindrical shank

“…Another axis, which is much closer to the MCCS, may be obtained from Chen and Hwang (2005). Let P i (x i , 0, z i ) be the projection of point P i on the plane x-z.…”

“…By using the revolving line method given by Chen and Hwang (2005), it is possible to obtain the minimum circumscribed lines of the points P j (r j , h j ). Let P k (r k , h k )(k = k 1 , k 2 ; P k ∈ P j ) be two control points on the circumscribed lines.…”

“…When the taper ball-end milling cutter is mounted on the NC machine tool, its orientation depends on the axis of the cylindrical shank of the cutter. The MCCS of the cutter shank may be defined by the method presented by Chen and Hwang (2005) and . When evaluating the profile of the taper surface and the spherical surface formed by the revolution of the cutting edge on the taper ballend cutter, the models given by cannot be applied directly.…”

A Fast Approach to Obtain High-Precision Measurement of the Minimum Circumscribed Cylinder Using Computer Drawing

“…Because of this the spindle identified will be inaccurate. The other method would be to use the minimum circumscribed theory to obtain the axis [3][4][5][6][7]. By taking advantage of the cylindrical measure of all the points, identifying the axis to calculate the minimum radius of the cylinder containing all the points, would calculate the minimum circumscribed radius.…”