0

Full Content is available to subscribers

Subscribe/Learn More  >

Feature Cluster Algebra for Geometric Tolerancing

[+] Author Affiliations
Yadong Shen, Jami J. Shah, Joseph K. Davidson

Arizona State University, Tempe, AZ

Paper No. DETC2011-47937, pp. 709-722; 14 pages
doi:10.1115/DETC2011-47937
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 31st Computers and Information in Engineering Conference, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5479-2
  • Copyright © 2011 by ASME

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.

Copyright © 2011 by ASME

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In