Models for evaluating the revolving cutter profile of circular-arc end mills

Abstract

This paper presents models for defining the minimum circumscribed cylinder (MCC) of the cutter shank, the minimum circumscribed circular-arc-type revolving surface (MCCRS) and the minimum circumscribed corner arc revolving surface (MC-CARS) with a spiral groove. A systematic modeling procedure is presented for the assessment of the contour quality of the circular-arc end milling (CAEM) cutters with a cylindrical shank. The axis of the MCC of the cylindrical shank of a revolving cutter with a circular-arc generator curve and a corner radius is taken as the datum line. The profile tolerances and errors are estimated. The presented models are all illustrated and verified by example. This approach can be generalized to a cutter with more than two circular arcs in its shape profile. The paper provides a valuable reference for the evaluation of the actual contour quality of this type of revolving cutter.

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

“…Referring to Wang et al (2006), the axis of the cylinder, which satisfies Eqs. (8)-(10), may be defined after several iterations.…”

“…The axis of the MCCS is very important since it affects all the subsequent analysis and the results. The basic model given by Wang et al (2006) will now be introduced briefly.…”

“…The original forms of the equations are not included since the interested reader may refer to them directly within Wang et al (2006) and Chen et al ( , 2003. Modification of the original equations is necessary in the work presented in this paper since otherwise the results generated will not be valid.…”

“…When considering the analysis provided in the references above, it should be noted that the evaluation of the profile of a revolving cutter differs from the models presented by Wang et al (2006) and Chen et al ( , 2003, since they only concern themselves with the profile of a single surface. By contrast, this paper presents a model for evaluating the profile of a compound surface, and therefore it is also necessary to introduce the specific problems related to this type of surface.…”

“…There are many references that address this issue. Wang et al (2006) and present the models for defining the MCCS and the MCTS, respectively. Similarly, Chen et al (2003) provides the mathematical model of the MCS.…”