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

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

doi:10.1007/1-4020-5438-6_6

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

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

Engineering of Matter, Transport and Energy, School for (IAFSE-SEMTE)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

19 Scopus citations

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 language	English (US)
Title of host publication	Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
Publisher	Kluwer Academic Publishers
Pages	45-54
Number of pages	10
ISBN (Print)	1402054378, 9781402054372
DOIs	https://doi.org/10.1007/1-4020-5438-6_6
State	Published - 2007
Event	9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005 - Tempe, AZ, United States Duration: Apr 10 2005 → Apr 12 2005

Publication series

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

Other

Other	9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
Country/Territory	United States
City	Tempe, AZ
Period	4/10/05 → 4/12/05

Keywords

Axis
Form tolerance
Position tolerance
Straightness
Tolerance-Map

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design
Modeling and Simulation

Access to Document

10.1007/1-4020-5438-6_6

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). (Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005). Kluwer Academic Publishers. https://doi.org/10.1007/1-4020-5438-6_6

Tolerance-maps applied to the straightness and orientation of an axis. / Bhide, S.; Ameta, G.; Davidson, J. K. et al.
Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005. Kluwer Academic Publishers, 2007. p. 45-54 (Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference 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. Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005, Kluwer Academic Publishers, pp. 45-54, 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005, Tempe, AZ, United States, 4/10/05. https://doi.org/10.1007/1-4020-5438-6_6

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. Kluwer Academic Publishers. 2007. p. 45-54. (Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005). doi: 10.1007/1-4020-5438-6_6

Bhide, S. ; Ameta, G. ; Davidson, J. K. et al. / 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. Kluwer Academic Publishers, 2007. pp. 45-54 (Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005).

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

Abstract

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Keywords

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