Publication detail

Global Sensitivity Analysis of Structural Reliability Using Cliff Delta

KALA, Z.

Original Title

Global Sensitivity Analysis of Structural Reliability Using Cliff Delta

Type

journal article in Web of Science

Language

English

Original Abstract

This paper introduces innovative sensitivity indices based on Cliff's Delta for the global sensitivity analysis of structural reliability. These indices build on the Sobol' method, using binary outcomes (success or failure), but avoid the need to calculate failure probability P-f and the associated distributional assumptions of resistance R and load F. Cliff's Delta, originally used for ordinal data, evaluates the dominance of resistance over load without specific assumptions. The mathematical formulations for computing Cliff's Delta between R and F quantify structural reliability by assessing the random realizations of R > F using a double-nested-loop approach. The derived sensitivity indices, based on the squared value of Cliff's Delta delta(2)(C), exhibit properties analogous to those in the Sobol' sensitivity analysis, including first-order, second-order, and higher-order indices. This provides a framework for evaluating the contributions of input variables on structural reliability. The results demonstrate that the Cliff's Delta method provides a more accurate estimate of Pf. In one case study, the Cliff's Delta approach reduces the standard deviation of Pf estimates across various Monte Carlo run counts. This method is particularly significant for FEM applications, where repeated simulations of R or F are computationally intensive. The double-nested-loop algorithm of Cliff's Delta maximizes the extraction of information about structural reliability from these simulations. However, the high computational demand of Cliff's Delta is a disadvantage. Future research should optimize computational demands, especially for small values of P-f.

Keywords

sensitivity analysis; Cliff's Delta; reliability analysis; importance measure; failure probability; uncertainty

Authors

KALA, Z.

Released

7. 7. 2024

Publisher

MDPI

Location

BASEL

ISBN

2227-7390

Periodical

Mathematics

Year of study

12

Number

13

State

Swiss Confederation

Pages from

1

Pages to

18

Pages count

18

URL

https://www.mdpi.com/2227-7390/12/13/2129

Full text in the Digital Library

http://hdl.handle.net/11012/249942

BibTex

@article{BUT194122,
  author="Zdeněk {Kala}",
  title="Global Sensitivity Analysis of Structural Reliability Using Cliff Delta",
  journal="Mathematics",
  year="2024",
  volume="12",
  number="13",
  pages="18",
  doi="10.3390/math12132129",
  issn="2227-7390",
  url="https://www.mdpi.com/2227-7390/12/13/2129"
}