An NC system that machines a curved shape at fixed depth of cut experiences time-varying cutting forces due to the 'curvature effect' - the material removal rate is higher than nominal in concave regions, and lower in convex regions. A curvature-dependent feedrate function that automatically compensates for this effect is formulated, and it is shown that, for Pythagorean-hodograph (PH) curves, the periodic real time computation of reference points in accordance with this function can be analytically reduced to a sequence of root-finding problems for simple monotone functions. Empirical results from an implementation of this variable-feedrate interpolators on an open-architecture CNC milling machine are presented and compared with results from fixed-feedrate interpolators. The curvature-compensated feedrate scheme has important potential applications in ensuring part accuracy and in optimizing part programs consistent with a prescribed accuracy. © 1998 Elsevier Science Ltd. All rights reserved.

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dc.contributor.authorFarouki, R.T.
dc.contributor.authorManjunathaiah, J.
dc.contributor.authorNicholas, D.
dc.contributor.authorYuan, G.-F.
dc.contributor.authorJee, S.
dc.date.accessioned2026-02-05T11:00:33Z
dc.date.issuedVariable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves
dc.description.abstract1998
dc.identifier.citationCAD Computer Aided Design, 1998, 30, 8, pp. 631-640
dc.identifier.issn104485
dc.identifier.urihttps://doi.org/10.1016/S0010-4485(98)00020-7
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/28047
dc.publisherElsevier Ltd
dc.subjectCNC interpolators
dc.subjectCurvatures
dc.subjectCutting force
dc.subjectFeedrate
dc.subjectMachining accuracy
dc.subjectOffset curves
dc.subjectOsculating circle
dc.subjectPythagorean hodographs
dc.titleAn NC system that machines a curved shape at fixed depth of cut experiences time-varying cutting forces due to the 'curvature effect' - the material removal rate is higher than nominal in concave regions, and lower in convex regions. A curvature-dependent feedrate function that automatically compensates for this effect is formulated, and it is shown that, for Pythagorean-hodograph (PH) curves, the periodic real time computation of reference points in accordance with this function can be analytically reduced to a sequence of root-finding problems for simple monotone functions. Empirical results from an implementation of this variable-feedrate interpolators on an open-architecture CNC milling machine are presented and compared with results from fixed-feedrate interpolators. The curvature-compensated feedrate scheme has important potential applications in ensuring part accuracy and in optimizing part programs consistent with a prescribed accuracy. © 1998 Elsevier Science Ltd. All rights reserved.

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