Feature cluster algebra for geometric tolerancing

Yadong Shen, Jami J. Shah, Joseph K. Davidson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

The ASME Y14.5.1 companion to the Geometric Dimensioning and Tolerancing (GD&T) standard gives an exhaustive tabulation of active and invariant degrees of freedom (DOF) for Datum Reference Frames (DRF). These DRFs are entity clusters of points, lines, and planes with different geometric relations to each other (coincident, parallel, perpendicular etc.). This paper investigates the systematic derivation of DRF & target clusters' DOFs and associates them with tolerance classes. A vector representation of geometric entities and Boolean operations are proposed. This algebra was validated by applying it to all cases in the Y14.5.1 tabulation; the results were identical to those in the standard. Only translational and rotational DOFs were considered since size dimensions are independent of this analysis. Of course, only a handful of DRF cases in the standard have practical use. Based on the algebraic calculation of DOF in each DRF cluster, the general rules regarding how target entities are constrained by diverse DRF clusters are discussed in this paper. Target entities are associated with specific DRF and tolerance or composite tolerances.

Original languageEnglish (US)
Title of host publicationASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
Pages709-722
Number of pages14
EditionPARTS A AND B
DOIs
StatePublished - Dec 1 2011
EventASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 - Washington, DC, United States
Duration: Aug 28 2011Aug 31 2011

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
NumberPARTS A AND B
Volume2

Other

OtherASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
CountryUnited States
CityWashington, DC
Period8/28/118/31/11

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Fingerprint Dive into the research topics of 'Feature cluster algebra for geometric tolerancing'. Together they form a unique fingerprint.

  • Cite this

    Shen, Y., Shah, J. J., & Davidson, J. K. (2011). Feature cluster algebra for geometric tolerancing. In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 (PARTS A AND B ed., pp. 709-722). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 2, No. PARTS A AND B). https://doi.org/10.1115/DETC2011-47937