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From probabilistic to quantile-oriented sensitivity analysis: New indices of design quantiles

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F20%3APU139507" target="_blank" >RIV/00216305:26110/20:PU139507 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.mdpi.com/2073-8994/12/10/1720" target="_blank" >https://www.mdpi.com/2073-8994/12/10/1720</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/sym12101720" target="_blank" >10.3390/sym12101720</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    From probabilistic to quantile-oriented sensitivity analysis: New indices of design quantiles

  • Original language description

    In structural reliability analysis, sensitivity analysis (SA) can be used to measure how an input variable influences the failure probability Pf of a structure. Although the reliability is usually expressed via Pf, Eurocode building design standards assess the reliability using design quantiles of resistance and load. The presented case study showed that quantile-oriented SA can provide the same sensitivity ranking as Pf-oriented SA or local SA based on Pf derivatives. The first two SAs are global, so the input variables are ranked based on total sensitivity indices subordinated to contrasts. The presented studies were performed for Pf ranging from 9.35x10^-8 to 1–1.51x10^-8. The use of quantile-oriented global SA can be significant in engineering tasks, especially for very small Pf. The proposed concept provided an opportunity to go much further. Left-right symmetry of contrast functions and sensitivity indices were observed. The article presents a new view of contrasts associated with quantiles as the distance between the average value of the population before and after the quantile. This distance has symmetric hyperbola asymptotes for small and large quantiles of any probability distribution. Following this idea, new quantile-oriented sensitivity indices based on measuring the distance between a quantile and the average value of the model output are formulated in this article.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20101 - Civil engineering

Result continuities

  • Project

    <a href="/en/project/GA20-00761S" target="_blank" >GA20-00761S: Influence of material properties of stainless steels on reliability of bridge structures</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Symmetry

  • ISSN

    2073-8994

  • e-ISSN

  • Volume of the periodical

    12

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    22

  • Pages from-to

    1-22

  • UT code for WoS article

    000587004200001

  • EID of the result in the Scopus database

    2-s2.0-85093700708