Reliability analysis based on the improved dimension reduction method

Kai Zhang, Gang Li

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The Univariate Dimension Reduction Method (DRM) can be used to calculate the moments of response efficiently and accurately. Compared to the FORM (First Order Reliability Method) and SORM (Second Order Reliability Method), the DRM does not need the derivative of the response and the iteration searching for the MMP. However, in some recent researches, the Moment Based Quadrature Rule (MBQR) in the DRM was found to be numerically instable when solving a system of linear equations after increasing the integration points. A Normalized Moment Based Quadrature Rule (IMBQR) is proposed to solve this problem and the Pearson system is taken to generate the probability density function (PDF) of the response. The failure probability is calculated with the PDF obtained by Pearson system. Numerical examples demonstrate the accuracy and efficiency of the proposed approach.

Original languageEnglish
Pages (from-to)187-192
Number of pages6
JournalJisuan Lixue Xuebao/Chinese Journal of Computational Mechanics
Volume28
Issue number2
StatePublished - Apr 2011
Externally publishedYes

Keywords

  • Dimension reduction method
  • Moment Based Quadrature Rule (MBQR)
  • Pearson system
  • Reliability

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