Advanced line sampling with adaptive important direction for structural failure probability

Hongwei Wang, Zhenzhou Lü

Research output: Contribution to journalArticlepeer-review

Abstract

Illustrations are used to analyze the limitation of line sampling(LS) firstly. For linear limit state, the efficiency of LS is affected by the dispersion of the actual important direction from the optimal one, the bigger the dispersion is, the lower the efficiency is. For non-linear limit state, in case that the actual important direction deviates from the optimal one greatly, the efficiency and the precision of LS decrease seriously, even wrong results are obtained. For these problems of LS, an advanced LS is presented with adaptive important direction. In standard normal space, the presented LS adapts direction from coordinate original point to the available failure point as an initialized important direction. By sampling exploringly and modifying gradually, the initialized important direction approaches the optimal one, then the advantages in precision and efficiency of LS is exerted completely. Numerical and engineering examples are used to verify the advantages of the presented method.

Original languageEnglish
Pages (from-to)414-418
Number of pages5
JournalJixie Qiangdu/Journal of Mechanical Strength
Volume31
Issue number3
StatePublished - Jun 2009

Keywords

  • Adaptive important direction
  • Exploring sampling
  • Line sampling

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