Efficient reliability analysis of complex systems in consideration of imprecision

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Julian Salomon
  • Niklas Winnewisser
  • Pengfei Wei
  • Matteo Broggi
  • Michael Beer

External Research Organisations

  • Northwestern Polytechnical University
  • University of Liverpool
  • Tongji University
  • International Joint Research Center for Engineering Reliability and Stochastic Mechanics
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Details

Original languageEnglish
Article number107972
JournalReliability engineering & system safety
Volume216
Early online date26 Aug 2021
Publication statusPublished - Dec 2021

Abstract

In this work, the reliability of complex systems under consideration of imprecision is addressed. By joining two methods coming from different fields, namely, structural reliability and system reliability, a novel methodology is derived. The concepts of survival signature, fuzzy probability theory and the two versions of non-intrusive stochastic simulation (NISS) methods are adapted and merged, providing an efficient approach to quantify the reliability of complex systems taking into account the whole uncertainty spectrum. The new approach combines both of the advantageous characteristics of its two original components: 1. a significant reduction of the computational effort due to the separation property of the survival signature, i.e., once the system structure has been computed, any possible characterization of the probabilistic part can be tested with no need to recompute the structure and 2. a dramatically reduced sample size due to the adapted NISS methods, for which only a single stochastic simulation is required, avoiding the double loop simulations traditionally employed. Beyond the merging of the theoretical aspects, the approach is employed to analyze a functional model of an axial compressor and an arbitrary complex system, providing accurate results and demonstrating efficiency and broad applicability.

Keywords

    Complex systems, Epistemic uncertainty, Extended Monte Carlo methods, Fuzzy probabilities, Imprecision, Non-intrusive imprecise stochastic simulation, Reliability analysis, Survival signature, System reliability

ASJC Scopus subject areas

Cite this

Efficient reliability analysis of complex systems in consideration of imprecision. / Salomon, Julian; Winnewisser, Niklas; Wei, Pengfei et al.
In: Reliability engineering & system safety, Vol. 216, 107972, 12.2021.

Research output: Contribution to journalArticleResearchpeer review

Salomon J, Winnewisser N, Wei P, Broggi M, Beer M. Efficient reliability analysis of complex systems in consideration of imprecision. Reliability engineering & system safety. 2021 Dec;216:107972. Epub 2021 Aug 26. doi: 10.1016/j.ress.2021.107972
Salomon, Julian ; Winnewisser, Niklas ; Wei, Pengfei et al. / Efficient reliability analysis of complex systems in consideration of imprecision. In: Reliability engineering & system safety. 2021 ; Vol. 216.
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title = "Efficient reliability analysis of complex systems in consideration of imprecision",
abstract = "In this work, the reliability of complex systems under consideration of imprecision is addressed. By joining two methods coming from different fields, namely, structural reliability and system reliability, a novel methodology is derived. The concepts of survival signature, fuzzy probability theory and the two versions of non-intrusive stochastic simulation (NISS) methods are adapted and merged, providing an efficient approach to quantify the reliability of complex systems taking into account the whole uncertainty spectrum. The new approach combines both of the advantageous characteristics of its two original components: 1. a significant reduction of the computational effort due to the separation property of the survival signature, i.e., once the system structure has been computed, any possible characterization of the probabilistic part can be tested with no need to recompute the structure and 2. a dramatically reduced sample size due to the adapted NISS methods, for which only a single stochastic simulation is required, avoiding the double loop simulations traditionally employed. Beyond the merging of the theoretical aspects, the approach is employed to analyze a functional model of an axial compressor and an arbitrary complex system, providing accurate results and demonstrating efficiency and broad applicability.",
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note = "Funding Information: Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) SFB 871/3 119193472 , the National Natural Science Foundation of China (NSFC 72171194) and Sino-German Center for Research Promotion (Sino-German Mobility Program) , Project number M-0175.",
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AU - Salomon, Julian

AU - Winnewisser, Niklas

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AU - Broggi, Matteo

AU - Beer, Michael

N1 - Funding Information: Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) SFB 871/3 119193472 , the National Natural Science Foundation of China (NSFC 72171194) and Sino-German Center for Research Promotion (Sino-German Mobility Program) , Project number M-0175.

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