Closed-loop analysis in semantic tolerance modeling

    Authors

    Y. Wang

    Comments

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    Abbreviated Journal Title

    J. Mech. Des.

    Keywords

    MECHANICAL ASSEMBLIES; COMPLIANT; REPRESENTATION; SYSTEMS; PARTS; Engineering, Mechanical

    Abstract

    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.

    Journal Title

    Journal of Mechanical Design

    Volume

    130

    Issue/Number

    6

    Publication Date

    1-1-2008

    Document Type

    Article

    Language

    English

    First Page

    10

    WOS Identifier

    WOS:000256582600005

    ISSN

    1050-0472

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