Efficient decoupling approach for reliability-based optimization based on augmented Line Sampling and combination algorithm

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Xiukai Yuan
  • Marcos A. Valdebenito
  • Baoqiang Zhang
  • Matthias G.R. Faes
  • Michael Beer

Research Organisations

External Research Organisations

  • Xiamen University
  • TU Dortmund University
  • University of Liverpool
  • Tongji University
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Details

Original languageEnglish
Article number107003
JournalComputers and Structures
Volume280
Early online date3 Mar 2023
Publication statusPublished - May 2023

Abstract

This paper presents a novel decoupling approach to efficiently solve a class of reliability-based design optimization (RBDO) problems by means of augmented Line Sampling. The proposed approach can fully decouple the original RBDO by replacing the probabilistic constraint with the failure probability function (FPF), which is an explicit function of the design variables. One attractive feature is that the main numerical cost associated with this decoupling comes with only one implementation of augmented Line Sampling, which is actually highly efficient. And for the sake of accuracy, the proposed approach incorporates decoupling with the sequential optimization framework to solve the RBDO problem iteratively. On top of that, an optimal combination algorithm is proposed to reuse the information through aggregating the local estimates of FPF obtained in different iterations to produce an improved estimate, resulting in a more accurate and stable solution. Examples are given to show the effectiveness and efficiency of the proposed approach.

Keywords

    Augmented line sampling, Decoupling, Reliability-based design optimization, Sequential optimization

ASJC Scopus subject areas

Cite this

Efficient decoupling approach for reliability-based optimization based on augmented Line Sampling and combination algorithm. / Yuan, Xiukai; Valdebenito, Marcos A.; Zhang, Baoqiang et al.
In: Computers and Structures, Vol. 280, 107003, 05.2023.

Research output: Contribution to journalArticleResearchpeer review

Yuan X, Valdebenito MA, Zhang B, Faes MGR, Beer M. Efficient decoupling approach for reliability-based optimization based on augmented Line Sampling and combination algorithm. Computers and Structures. 2023 May;280:107003. Epub 2023 Mar 3. doi: 10.1016/j.compstruc.2023.107003
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abstract = "This paper presents a novel decoupling approach to efficiently solve a class of reliability-based design optimization (RBDO) problems by means of augmented Line Sampling. The proposed approach can fully decouple the original RBDO by replacing the probabilistic constraint with the failure probability function (FPF), which is an explicit function of the design variables. One attractive feature is that the main numerical cost associated with this decoupling comes with only one implementation of augmented Line Sampling, which is actually highly efficient. And for the sake of accuracy, the proposed approach incorporates decoupling with the sequential optimization framework to solve the RBDO problem iteratively. On top of that, an optimal combination algorithm is proposed to reuse the information through aggregating the local estimates of FPF obtained in different iterations to produce an improved estimate, resulting in a more accurate and stable solution. Examples are given to show the effectiveness and efficiency of the proposed approach.",
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note = "Funding Information: Xiukai Yuan would like to acknowledge financial support from the Aeronautical Science Foundation of China (Grant No. ASFC-20170968002). Baoqiang Zhang acknowledges the financial support from National Science and Technology Major Project (Grant No. 2019-I-0006-0006), Special Project on the Integration of Industry, Education and Research of AECC (Grant No. HFZL2020CXY004 and HFZL2020CXY009).",
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AU - Yuan, Xiukai

AU - Valdebenito, Marcos A.

AU - Zhang, Baoqiang

AU - Faes, Matthias G.R.

AU - Beer, Michael

N1 - Funding Information: Xiukai Yuan would like to acknowledge financial support from the Aeronautical Science Foundation of China (Grant No. ASFC-20170968002). Baoqiang Zhang acknowledges the financial support from National Science and Technology Major Project (Grant No. 2019-I-0006-0006), Special Project on the Integration of Industry, Education and Research of AECC (Grant No. HFZL2020CXY004 and HFZL2020CXY009).

PY - 2023/5

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N2 - This paper presents a novel decoupling approach to efficiently solve a class of reliability-based design optimization (RBDO) problems by means of augmented Line Sampling. The proposed approach can fully decouple the original RBDO by replacing the probabilistic constraint with the failure probability function (FPF), which is an explicit function of the design variables. One attractive feature is that the main numerical cost associated with this decoupling comes with only one implementation of augmented Line Sampling, which is actually highly efficient. And for the sake of accuracy, the proposed approach incorporates decoupling with the sequential optimization framework to solve the RBDO problem iteratively. On top of that, an optimal combination algorithm is proposed to reuse the information through aggregating the local estimates of FPF obtained in different iterations to produce an improved estimate, resulting in a more accurate and stable solution. Examples are given to show the effectiveness and efficiency of the proposed approach.

AB - This paper presents a novel decoupling approach to efficiently solve a class of reliability-based design optimization (RBDO) problems by means of augmented Line Sampling. The proposed approach can fully decouple the original RBDO by replacing the probabilistic constraint with the failure probability function (FPF), which is an explicit function of the design variables. One attractive feature is that the main numerical cost associated with this decoupling comes with only one implementation of augmented Line Sampling, which is actually highly efficient. And for the sake of accuracy, the proposed approach incorporates decoupling with the sequential optimization framework to solve the RBDO problem iteratively. On top of that, an optimal combination algorithm is proposed to reuse the information through aggregating the local estimates of FPF obtained in different iterations to produce an improved estimate, resulting in a more accurate and stable solution. Examples are given to show the effectiveness and efficiency of the proposed approach.

KW - Augmented line sampling

KW - Decoupling

KW - Reliability-based design optimization

KW - Sequential optimization

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