A novel methodology of reliability-based multidisciplinary design optimization under hybrid interval and fuzzy uncertainties

Lei Wang*, Chuang Xiong, Yaowen Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

85 Citations (Scopus)

Abstract

Various uncertainties exist in engineering practice, which brings adverse effects to the reliability of complicated engineering systems. Considering the case that interval and fuzzy uncertainties exist simultaneously, a new reliability estimation model is proposed based on the level cut strategy and volume ratio theory. The new reliability model is better than the traditional one which is very conservative. Moreover, a sequential optimization and reliability assessment (SORA) approach for multidisciplinary systems under hybrid interval and fuzzy uncertainties is developed to decouple the reliability analysis from the deterministic multidisciplinary design optimization (MDO). In the framework of SORA, the deterministic MDO and reliability analysis are executed sequentially, thus the efficiency can be improved. For the multidisciplinary uncertainty analysis, the first order Taylor expansion method and the interval vertex method are formulated. The calculation of the safety possibility under the volume ratio theory and the calculation of the shifting distance are deduced. Both numerical and engineering examples are employed to demonstrate the validity of the proposed method.

Original languageEnglish
Pages (from-to)439-457
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume337
DOIs
Publication statusPublished - Aug 1 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 Elsevier B.V.

ASJC Scopus Subject Areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications

Keywords

  • Hybrid interval and fuzzy uncertainties
  • Reliability estimation model
  • Reliability-based multidisciplinary design optimization
  • Sequential optimization and reliability analysis
  • Shifting distance

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