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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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