Probability sensitivity estimation of linear stochastic finite element models applying Line Sampling

Marcos A. Valdebenito, Herman B. Hernández, Héctor A. Jensen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper presents a framework for probability sensitivity estimation of a class of problems involving linear stochastic finite element models. The sensitivity measure consists of the derivative of the failure probability with respect to the statistics of the underlying random field associated with the model. The framework is formulated as a post-processing step of Line Sampling and it is implemented considering two different approaches. The performance of these two approaches is studied by means of numerical examples. It is concluded that both offer effective means for estimating the sought sensitivity measure. Furthermore, it is observed that the correlation length associated with the random field controls the magnitude of the sensitivity measure.

Original languageEnglish
Article number101868
JournalStructural Safety
Volume81
DOIs
StatePublished - Nov 2019

Keywords

  • Correlation length
  • Failure probability
  • Line Sampling
  • Random fields
  • Sensitivity analysis
  • Stochastic finite element

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