Robustness of design through minimum sensitivity

Ashok D. Belegundu, Shenghua Zhang

    Research output: Contribution to journalArticle

    81 Citations (Scopus)

    Abstract

    The problem of designing mechanical systems or components under uncertainty is considered. The basic idea is to ensure quality control at the design stage by minimizing sensitivity of the response to uncertain variables by proper selection o/design variables. The formulation does not involve probability distributions. It is proved, however, that when the response is linear in the uncertain variable, reduction in sensitivity implies lesser probability of failure. The proof is generalized to the nonlinear case under certain restrictions. In one example, the design of a three-bar truss is considered. The length of one of the bars is considered to be the uncertain variable while cross-sectional areas are the design variables. The sensitivity of the x-displacement is minimized. The constrained optimization problem is solved using a nonlinear programming code. A criterion which can help identify some of the problems where robustness in design is critical is discussed.

    Original languageEnglish (US)
    Pages (from-to)213-217
    Number of pages5
    JournalJournal of Mechanical Design, Transactions Of the ASME
    Volume114
    Issue number2
    DOIs
    StatePublished - Jan 1 1992

    Fingerprint

    Constrained optimization
    Nonlinear programming
    Probability distributions
    Quality control
    Uncertainty

    All Science Journal Classification (ASJC) codes

    • Mechanics of Materials
    • Mechanical Engineering
    • Computer Science Applications
    • Computer Graphics and Computer-Aided Design

    Cite this

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    title = "Robustness of design through minimum sensitivity",
    abstract = "The problem of designing mechanical systems or components under uncertainty is considered. The basic idea is to ensure quality control at the design stage by minimizing sensitivity of the response to uncertain variables by proper selection o/design variables. The formulation does not involve probability distributions. It is proved, however, that when the response is linear in the uncertain variable, reduction in sensitivity implies lesser probability of failure. The proof is generalized to the nonlinear case under certain restrictions. In one example, the design of a three-bar truss is considered. The length of one of the bars is considered to be the uncertain variable while cross-sectional areas are the design variables. The sensitivity of the x-displacement is minimized. The constrained optimization problem is solved using a nonlinear programming code. A criterion which can help identify some of the problems where robustness in design is critical is discussed.",
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    Robustness of design through minimum sensitivity. / Belegundu, Ashok D.; Zhang, Shenghua.

    In: Journal of Mechanical Design, Transactions Of the ASME, Vol. 114, No. 2, 01.01.1992, p. 213-217.

    Research output: Contribution to journalArticle

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