Reliability-based design optimization (RBDO), which includes design optimization in design space and inverse reliability analysis in standard normal space, has been recently developed under the assumption that all input variables are independent because it is difficult to construct a joint probability distribution function (PDF) of input variables with limited data such as the marginal PDF and covariance matrix. However, since in real applications, it is common that some of the input variables are correlated, the RBDO results might contain a significant error if the correlation between input variables for RBDO is not considered. In this paper, Rosenblatt and Nataf transformations, which are the most representative transformation methods and have been widely used in the reliability analysis, have been studied and compared in terms of applicability to RBDO with correlated input variables. It is identified that Nataf transformation is one of copulas and more applicable than Rosenblatt transformation. Using numerical examples, it is also shown that the correlation of input variables significantly affects the RBDO results.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Reliability Based Design Optimization with Correlated Input Variables


    Additional title:

    Sae Technical Papers


    Contributors:
    Choi, Kyung K. (author) / Du, Liu (author) / Noh, Yoojeong (author)

    Conference:

    SAE World Congress & Exhibition ; 2007



    Publication date :

    2007-04-16




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English




    Reliability Based Design Optimization with Correlated Input Variables

    Choi, K. K. / Noh, Y. / Du, L. et al. | British Library Conference Proceedings | 2007


    Reliability based design optimization with correlated input variables

    Choi,K.K. / Noh,Y. / Du,L. et al. | Automotive engineering | 2007


    2007-01-0551 Reliability Based Design Optimization with Correlated Input Variables

    Choi, K. K. / Noh, Y. / Du, L. et al. | British Library Conference Proceedings | 2007


    Reliability Assessment with correlated variables using Support Vector Machines

    Jiang, Peng / Basudhar, Anirban / Missoum, Samy | AIAA | 2011


    Reliability Assessment with Correlated Variables Using Support Vector Machines

    Jiang, P. / Basudhar, A. / Missoum, S. et al. | British Library Conference Proceedings | 2011