Tolerance-maps applied to the straightness and orientation of an axis

S. Bhide, G. Ameta, J. K. Davidson, J. J. Shah

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

18 Citations (Scopus)

Abstract

Among the least developed capabilities in well-developed mathematical models for geometric tolerances are the representation of tolerances on form, orientation, and of Rule #1 in the Standards, i.e. the coupling between form and allowable variations for either size or position of a feature. This paper uses Tolerance-Maps®1(T-Maps®1) to describe these aspects of geometric tolerances for the straightness and orientation of an axis within its tolerance-zone on position. A Tolerance-Map is a hypothetical point-space, the size and shape of which reflect all variational possibilities for a target feature; for an axis, it is constructed in four-dimensional space. The Tolerance-Map for straightness is modeled with a geometrically similar, but smaller-sized, four-dimensional shape to the 4D shape for position; it is a subset within the T-Map for position. Another internal subset describes the displacement possibilities for the subset T-Maps that limits form. The T-Map for orientation and position together is formed most reliably by truncating the T-Map for position alone.

Original languageEnglish (US)
Title of host publicationModels for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
Pages45-54
Number of pages10
StatePublished - 2007
Event9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005 - Tempe, AZ, United States
Duration: Apr 10 2005Apr 12 2005

Other

Other9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
CountryUnited States
CityTempe, AZ
Period4/10/054/12/05

Fingerprint

Tolerance
Subset
Mathematical Model
Mathematical models
Internal
Target
Form

Keywords

  • Axis
  • Form tolerance
  • Position tolerance
  • Straightness
  • Tolerance-Map

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Modeling and Simulation

Cite this

Bhide, S., Ameta, G., Davidson, J. K., & Shah, J. J. (2007). Tolerance-maps applied to the straightness and orientation of an axis. In Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005 (pp. 45-54)

Tolerance-maps applied to the straightness and orientation of an axis. / Bhide, S.; Ameta, G.; Davidson, J. K.; Shah, J. J.

Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005. 2007. p. 45-54.

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

Bhide, S, Ameta, G, Davidson, JK & Shah, JJ 2007, Tolerance-maps applied to the straightness and orientation of an axis. in Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005. pp. 45-54, 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005, Tempe, AZ, United States, 4/10/05.
Bhide S, Ameta G, Davidson JK, Shah JJ. Tolerance-maps applied to the straightness and orientation of an axis. In Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005. 2007. p. 45-54
Bhide, S. ; Ameta, G. ; Davidson, J. K. ; Shah, J. J. / Tolerance-maps applied to the straightness and orientation of an axis. Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005. 2007. pp. 45-54
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