TY - JOUR
T1 - Navigating the Tolerance Analysis Maze
AU - Shah, Jami J.
AU - Ameta, Gaurav
AU - Shen, Zhengshu
AU - Davidson, Joseph
N1 - Funding Information:
This study was supported in part by National Science Foundation Grants DMI-9821008 and DMI-0245422. The opinions expressed in the paper are those of the authors and not endorsed by the NSF. The authors wish to thank NSF for the financial support.
PY - 2007
Y1 - 2007
N2 - This paper classifies and reviews geometric tolerance analysis methods and software. Two of the most popular methods, 1-D Min/Max Charts and Parametric Simulation, are reviewed in detail. The former is fully consistent with international tolerance standards but limited to decoupled analysis of variations in one direction at a time. It is also hard to automate. The latter can handle variations in all directions but is not fully compatible with the standards. The results are highly dependent on the expertise of the analyst. New methods are emerging to overcome these problems. One such method called T-maps is also reviewed. It maps geometric variations from physical space to 3, 4, or 5 dimensional virtual space and computes tolerance accumulations using Minkowski sums. The method so far has shown to be consistent with tolerance standards and can handle all tolerance classes applicable to planar and cylindrical features.
AB - This paper classifies and reviews geometric tolerance analysis methods and software. Two of the most popular methods, 1-D Min/Max Charts and Parametric Simulation, are reviewed in detail. The former is fully consistent with international tolerance standards but limited to decoupled analysis of variations in one direction at a time. It is also hard to automate. The latter can handle variations in all directions but is not fully compatible with the standards. The results are highly dependent on the expertise of the analyst. New methods are emerging to overcome these problems. One such method called T-maps is also reviewed. It maps geometric variations from physical space to 3, 4, or 5 dimensional virtual space and computes tolerance accumulations using Minkowski sums. The method so far has shown to be consistent with tolerance standards and can handle all tolerance classes applicable to planar and cylindrical features.
KW - CATS
KW - Computer-aided Tolerance Analysis
KW - GD&T
KW - Math modeling of tolerances
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U2 - 10.1080/16864360.2007.10738504
DO - 10.1080/16864360.2007.10738504
M3 - Article
AN - SCOPUS:34250754310
VL - 4
SP - 705
EP - 718
JO - Computer-Aided Design and Applications
JF - Computer-Aided Design and Applications
SN - 1686-4360
IS - 5
ER -