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On distribution-based global sensitivity analysis by polynomial chaos expansion

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F22%3APU144692" target="_blank" >RIV/00216305:26110/22:PU144692 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0045794922000682" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0045794922000682</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.compstruc.2022.106808" target="_blank" >10.1016/j.compstruc.2022.106808</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On distribution-based global sensitivity analysis by polynomial chaos expansion

  • Original language description

    This paper presents a novel distribution-based global sensitivity analysis based on the Kullback-Leibler divergence derived directly from generalized polynomial chaos expansion (PCE). The synergy between PCE and Gram-Charlier expansion is utilized for derivation of novel and computationally efficient sensitivity indices. In contrast to a standard procedure for estimation of higher statistical moments, this paper reviews standard linearization problem of Hermite and Jacobi polynomials in order to efficiently estimate skewness and kurtosis direclty from PCE. Higher statistical moments are used for an estimation of probability distribution by Gram-Charlier expansion, which is represented by derived explicit cumulative distribution function. The proposed sensitivity indices taking the whole probability distribution into account are calculated for several numerical examples of increasing complexity in order to present their possibilities. It is shown, that the proposed sensitivity indices are obtained without any additional computational demands together with Sobol indices, and thus can be easily used as complementary information for a complex sensitivity analysis or any decision making in industrial applications. Application of the proposed approach on engineering structure is presented in case of prestressed concrete roof girders failing shear. Moreover, the potential of the proposed approach for reliability-oriented sensitivity analysis is investigated in pilot numerical example.(c) 2022 Elsevier Ltd. All rights reserved.

  • 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

    20102 - Construction engineering, Municipal and structural engineering

Result continuities

  • Project

    <a href="/en/project/GA20-01734S" target="_blank" >GA20-01734S: Probability oriented global sensitivity measures of structural reliability</a><br>

  • Continuities

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

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    COMPUTERS & STRUCTURES

  • ISSN

    0045-7949

  • e-ISSN

    1879-2243

  • Volume of the periodical

    267

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    14

  • Pages from-to

    1-14

  • UT code for WoS article

    000798355900001

  • EID of the result in the Scopus database

    2-s2.0-85129298719