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Research Papers: Design for Manufacturing

Closed-Loop Analysis in Semantic Tolerance Modeling

[+] Author and Article Information
Yan Wang

Department of Industrial Engineering and Management Systems, University of Central Florida, 4000 Central Florida Boulevard, Orlando, FL 32816-2993wangyan@mail.ucf.edu

J. Mech. Des 130(6), 061701 (Apr 16, 2008) (10 pages) doi:10.1115/1.2900715 History: Received June 03, 2007; Revised January 17, 2008; Published April 16, 2008

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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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

An example of one-way clutch variation estimation

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Figure 2

Proper transform Jacobi algorithm for the linear system in Eq. 4

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Figure 3

Improper transform Jacobi algorithm for the linear system in Eq. 5

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Figure 4

Stacked block assembly with closed loops of variations

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Figure 5

Incorporating geometric tolerances in closed-loop analysis

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