Efficient reliability-based optimization of linear dynamic systems with random structural parameters

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Xiukai Yuan
  • Jian Gu
  • Mingying Wu
  • Feng Zhang

Research Organisations

External Research Organisations

  • Xiamen University
  • Northwestern Polytechnical University
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Details

Original languageEnglish
Pages (from-to)2593-2608
Number of pages16
JournalStructural and Multidisciplinary Optimization
Volume64
Issue number4
Early online date12 Aug 2021
Publication statusPublished - Oct 2021

Abstract

This paper proposes a novel method to address the challenges associated with reliability-based design optimization (RBDO) of a class of problems, namely design of a linear system with random structural parameters subject to stochastic excitation. This method effectively estimates the failure probability as an explicit function of the design variables by representing the failure probability function (FPF) as a weighted average of sample values, which are generated by means of a single reliability analysis. The resulting estimation of the FPF is then used to decouple the target RBDO problem into a deterministic optimization problem, which can be solved by any appropriate deterministic optimization algorithm. In addition, a sequential approximate optimization framework is adopted to iteratively seek the solution of the RBDO problem. Several examples are provided to demonstrate the high accuracy and efficiency of the proposed method.

Keywords

    Decoupling approach, High dimensions, Importance sampling, Linear dynamic system, Reliability-based optimization, Uncertain systems

ASJC Scopus subject areas

Cite this

Efficient reliability-based optimization of linear dynamic systems with random structural parameters. / Yuan, Xiukai; Gu, Jian; Wu, Mingying et al.
In: Structural and Multidisciplinary Optimization, Vol. 64, No. 4, 10.2021, p. 2593-2608.

Research output: Contribution to journalArticleResearchpeer review

Yuan X, Gu J, Wu M, Zhang F. Efficient reliability-based optimization of linear dynamic systems with random structural parameters. Structural and Multidisciplinary Optimization. 2021 Oct;64(4):2593-2608. Epub 2021 Aug 12. doi: 10.1007/s00158-021-03011-0
Download
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