A semantic tolerance modeling scheme based on generalized intervals was recently proposed to allow for embedding more tolerancing intents in specifications with a combination of numerical intervals and logical quantifiers. By differentiating a priori and a posteriori tolerances, the logic relationships among variables can be interpreted, which is useful to verify completeness and soundness of numerical estimations in tolerance analysis. In this paper, we present a semantic tolerance analysis approach to estimate size and geometric tolerance stackups based on closed loops of interval vectors. An interpretable linear system solver is constructed to ensure interpretability of numerical results. A direct linearization method for nonlinear systems is also developed. This new approach enhances traditional numerical analysis methods by preserving logical information during computation such that more semantics can be derived from variation estimations.
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e-mail: wangyan@mail.ucf.edu
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June 2008
Research Papers
Closed-Loop Analysis in Semantic Tolerance Modeling
Yan Wang
Yan Wang
Assistant Professor
Department of Industrial Engineering and Management Systems,
e-mail: wangyan@mail.ucf.edu
University of Central Florida
, 4000 Central Florida Boulevard, Orlando, FL 32816-2993
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Yan Wang
Assistant Professor
Department of Industrial Engineering and Management Systems,
University of Central Florida
, 4000 Central Florida Boulevard, Orlando, FL 32816-2993e-mail: wangyan@mail.ucf.edu
J. Mech. Des. Jun 2008, 130(6): 061701 (10 pages)
Published Online: April 16, 2008
Article history
Received:
June 3, 2007
Revised:
January 17, 2008
Published:
April 16, 2008
Citation
Wang, Y. (April 16, 2008). "Closed-Loop Analysis in Semantic Tolerance Modeling." ASME. J. Mech. Des. June 2008; 130(6): 061701. https://doi.org/10.1115/1.2900715
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