Tolerance-maps applied to a point-line cluster of features

Gaurav Ameta, Joseph K. Davidson, Jami J. Shah

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

In this paper, groups of individual features, i.e., a point, a line, and a plane, are called clusters and are used to constrain sufficiently the relative location of adjacent parts. A new mathematical model for representing size and geometric tolerances is applied to a point-line cluster of features that is used to align adjacent parts in two-dimensional space. First, tolerance-zones are describedfor the point-line cluster. A Tolerance-Map® (Patent no. 69638242), a hypothetical volume of points, is then established which is the range of a mapping from all possible locations for the features in the cluster. A picture frame assembly of four parts is used to illustrate the accumulations of manufacturing variations, and the T-Maps® provide stackup relations that can be used to allocate size and orientational tolerances. This model is one part of a bilevel model that we are developing for size and geometric tolerances. At the local level the model deals with the permitted variations in a tolerance zone, while at the global level it interrelates all the frames of reference on apart or assembly.

Original languageEnglish (US)
Pages (from-to)782-792
Number of pages11
JournalJournal of Mechanical Design, Transactions Of the ASME
Volume129
Issue number8
DOIs
StatePublished - Aug 2007

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Mathematical models

ASJC Scopus subject areas

  • Mechanical Engineering

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Tolerance-maps applied to a point-line cluster of features. / Ameta, Gaurav; Davidson, Joseph K.; Shah, Jami J.

In: Journal of Mechanical Design, Transactions Of the ASME, Vol. 129, No. 8, 08.2007, p. 782-792.

Research output: Contribution to journalArticle

Ameta, Gaurav ; Davidson, Joseph K. ; Shah, Jami J. / Tolerance-maps applied to a point-line cluster of features. In: Journal of Mechanical Design, Transactions Of the ASME. 2007 ; Vol. 129, No. 8. pp. 782-792.
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