Segmental multi-point linearization for parameter sensitivity approximation in reliability analysis

Ke Liu, Glaucio H. Paulino, Paolo Gardoni

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


This paper proposes an efficient method named segmental multi-point linearization for accurate approximation of the sensitivity of failure probability with respect to design parameters. The method is established based on a piecewise linear fitting of the limit state surface and the analytical integral of the gradient of the failure probability with respect to parameters in the limit state function. The proposed method presents an attractive ratio of accuracy to computational cost. The general framework is scalable such that, by adjusting its complexity, different levels of accuracy can be achieved. The method is especially suitable to be implemented in gradient-based routines for solving reliability-based design optimization problems where accuracy of the parameter sensitivity is essential for convergence to an optimal solution.

Original languageEnglish (US)
Pages (from-to)101-115
Number of pages15
JournalStructural Safety
StatePublished - Sep 1 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction
  • Safety, Risk, Reliability and Quality


  • Parameter sensitivity of failure probability
  • Reliability analysis
  • Reliability-based design optimization
  • Sensitivity analysis


Dive into the research topics of 'Segmental multi-point linearization for parameter sensitivity approximation in reliability analysis'. Together they form a unique fingerprint.

Cite this