Publication detail

Quantile-based versus Sobol sensitivity analysis in limit state design

KALA, Z.

Original Title

Quantile-based versus Sobol sensitivity analysis in limit state design

Type

journal article in Web of Science

Language

English

Original Abstract

In limit state design, the reliability of building constructions is generally verified using design quantiles. The design resistance of a structure is explicitly expressed as a low quantile of the cumulative distribution function of resistance. The aim of this article is to show the connections and differences between quantile-oriented sensitivity analysis subordinated to a contrast and classic Sobol sensitivity analysis. Changing the fixed input variable causes synchronous change in the quantile and mean value, but how do the results of these two sensitivity analyses differ? The question is whether or not the changes around the design quantile (measured by contrast indices) are similar to the changes around the mean value, which are measured using Sobol’s indices. Comparison is performed on a case study, where the resistance of the structure is expressed by a non-linear function, the inputs of which are random material and geometric characteristics of the structure. The non-dimensional slenderness is a deterministic parameter, which changes the influence of input variables on the resistance as the model output. It was concluded upon comparing the results of both sensitivity analyses that the rank of the most important variables is the same for both low and high slenderness and is similar for intermediate slenderness. However, the interaction effects are very different. The identification of insignificant variables is the same. Other significant similarities and differences between both types of sensitivity analyses are presented in the article.

Keywords

Sensitivity analysis, Structural reliability, Eurocodes, Design quantiles, Stability,Buckling, Steel

Authors

KALA, Z.

Released

8. 11. 2020

Publisher

Elsevier

ISBN

2352-0124

Periodical

Structures

Year of study

28

Number

December 2020

State

Kingdom of the Netherlands

Pages from

2424

Pages to

2430

Pages count

7

URL

https://www.sciencedirect.com/science/article/pii/S2352012420305993

Full text in the Digital Library

http://hdl.handle.net/11012/196475

BibTex

@article{BUT169512,
  author="Zdeněk {Kala}",
  title="Quantile-based versus Sobol sensitivity analysis in limit state design",
  journal="Structures",
  year="2020",
  volume="28",
  number="December 2020",
  pages="2424--2430",
  doi="10.1016/j.istruc.2020.10.037",
  issn="2352-0124",
  url="https://www.sciencedirect.com/science/article/pii/S2352012420305993"
}