| Special part-issue for selected papers of the 13th CIRP CAT 2014 |
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| Tolerance-Maps for line-profiles constructed from Boolean intersection of T-Map primitives for arc-segments |
| Yifei He, Joseph K. Davidson, Jami J. Shah |
| Siemens PLM Software, Inc., 2000 Eastman Drive, Milford, Ohio 45150, USA; Mechanical & Aerospace Engineering, Arizona State University, Tempe, Arizona 85287-6106, USA |
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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.
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Received: 30 July 2014
Published: 04 May 2015
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