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    Reliability-Based Design Optimization Using Response Surface Method With Prediction Interval Estimation

    Source: Journal of Mechanical Design:;2008:;volume( 130 ):;issue: 012::page 121401
    Author:
    Chwail Kim
    ,
    K. K. Choi
    DOI: 10.1115/1.2988476
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Since variances in the input variables of the engineering system cause subsequent variances in the product output performance, reliability-based design optimization (RBDO) is getting much attention recently. However, RBDO requires expensive computational time. Therefore, the response surface method is often used for computational efficiency in solving RBDO problems. A method to estimate the effect of the response surface error on the RBDO result is developed in this paper. The effect of the error is expressed in terms of the prediction interval, which is utilized as the error metric for the response surface used for RBDO. The prediction interval provides upper and lower bounds for the confidence level that the design engineer specified. Using the prediction interval of the response surface, the upper and lower limits of the reliability are computed. The lower limit of reliability is compared with the target reliability to obtain a conservative optimum design and thus safeguard against the inaccuracy of the response surface. On the other hand, in order to avoid obtaining a design that is too conservative, the developed method also constrains the upper limit of the reliability in the design optimization process. The proposed procedure is combined with an adaptive sampling strategy to refine the response surface. Numerical examples show the usefulness and the efficiency of the proposed method.
    keyword(s): Design , Errors , Response surface methodology , Reliability , Sampling (Acoustical engineering) AND Reliability-based optimization ,
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      Reliability-Based Design Optimization Using Response Surface Method With Prediction Interval Estimation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/138794
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    contributor authorChwail Kim
    contributor authorK. K. Choi
    date accessioned2017-05-09T00:29:31Z
    date available2017-05-09T00:29:31Z
    date copyrightDecember, 2008
    date issued2008
    identifier issn1050-0472
    identifier otherJMDEDB-27888#121401_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/138794
    description abstractSince variances in the input variables of the engineering system cause subsequent variances in the product output performance, reliability-based design optimization (RBDO) is getting much attention recently. However, RBDO requires expensive computational time. Therefore, the response surface method is often used for computational efficiency in solving RBDO problems. A method to estimate the effect of the response surface error on the RBDO result is developed in this paper. The effect of the error is expressed in terms of the prediction interval, which is utilized as the error metric for the response surface used for RBDO. The prediction interval provides upper and lower bounds for the confidence level that the design engineer specified. Using the prediction interval of the response surface, the upper and lower limits of the reliability are computed. The lower limit of reliability is compared with the target reliability to obtain a conservative optimum design and thus safeguard against the inaccuracy of the response surface. On the other hand, in order to avoid obtaining a design that is too conservative, the developed method also constrains the upper limit of the reliability in the design optimization process. The proposed procedure is combined with an adaptive sampling strategy to refine the response surface. Numerical examples show the usefulness and the efficiency of the proposed method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleReliability-Based Design Optimization Using Response Surface Method With Prediction Interval Estimation
    typeJournal Paper
    journal volume130
    journal issue12
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2988476
    journal fristpage121401
    identifier eissn1528-9001
    keywordsDesign
    keywordsErrors
    keywordsResponse surface methodology
    keywordsReliability
    keywordsSampling (Acoustical engineering) AND Reliability-based optimization
    treeJournal of Mechanical Design:;2008:;volume( 130 ):;issue: 012
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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