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On Detecting Undercutting in Conjugate Pairs

[+] Author Affiliations
Horea T. Ilieş

University of Connecticut, Storrs, CT

Paper No. DETC2005-85272, pp. 1091-1099; 9 pages
  • ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7: 29th Mechanisms and Robotics Conference, Parts A and B
  • Long Beach, California, USA, September 24–28, 2005
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4744-6 | eISBN: 0-7918-3766-1
  • Copyright © 2005 by ASME


One significant and common trait of a conjugate pair is the occurrence of geometric singularities in the contacting surfaces, which typically prevents the correct meshing of the two contacting parts. These singularities, which have been naturally linked to the concept of “undercutting” in a conjugate pair, are notoriously difficult to determine both formally and computationally. On the other hand, it is surprising that, although the concept of undercutting has been known for a long time, it has not yet been formally defined or studied except for some very specific applications. Consequently, general purpose algorithms for undercutting detection and quantification remain elusive. We argue that detecting points around a singularity appears to be significantly easier than detecting the singularity itself. Thus, we propose that undercutting be unambiguously defined in terms of points in the neighborhood of geometric singularities, which may lead to general computational algorithms to detect and quantify undercutting in a conjugate pair.

Copyright © 2005 by ASME
Topics: Algorithms



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