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On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2015-04-15
Cited: 3
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Tolerance-Maps for line-profiles constructed from Boolean intersection of T-Map primitives for arc-segments
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Yifei He, Joseph K. Davidson, Jami J. Shah. Tolerance-Maps for line-profiles constructed from Boolean intersection of T-Map primitives for arc-segments[J]. Journal of Zhejiang University Science A, 2015, 16(5): 341-352.
@article{title="Tolerance-Maps for line-profiles constructed from Boolean intersection of T-Map primitives for arc-segments",
author="Yifei He, Joseph K. Davidson, Jami J. Shah",
journal="Journal of Zhejiang University Science A",
volume="16",
number="5",
pages="341-352",
year="2015",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1400239"
}
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T1 - Tolerance-Maps for line-profiles constructed from Boolean intersection of T-Map primitives for arc-segments
A1 - Yifei He
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A1 - Jami J. Shah
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1400239
Abstract: For purposes of automating the assignment of tolerances during design, a math model, called the Tolerance-Map (T-Map), has been produced for most of the tolerance classes that are used by designers. Each T-Map is a hypothetical point-space that represents the geometric variations of a feature in its tolerance-zone. Of the six tolerance classes defined in the ASME/ANSI/ISO Standards, profile tolerances have received the least attention for representation in computer models. The objective of this paper is to describe a new method of construction, using computer-aided geometric design, which can produce the T-Map for any line-profile. The new method requires decomposing a profile into segments, creating a solid-model T-Map primitive for each, and then combining these by boolean intersection to generate the T-Map for a complete line profile of any shape. To economize on length, the scope of this paper is limited to line-profiles formed from circular arc-segments. The parts containing the line-profile features are considered to be rigid.
T-maps have been the key concept of tolerancing modeling literature for the last two decades. Its creators have developed and documented it through many papers, each providing an extension to new types of tolerances and insights for possible applications in tolerance analysis. The submitted paper may have little incremental value but contributes to the whole body of work, which I hope to see in a dedicated book before long.
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