Polynomial chaos in evaluating failure probability: A comparative study
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00326096" target="_blank" >RIV/68407700:21110/18:00326096 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.21136/AM.2018.0335-17" target="_blank" >http://dx.doi.org/10.21136/AM.2018.0335-17</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2018.0335-17" target="_blank" >10.21136/AM.2018.0335-17</a>
Alternative languages
Result language
angličtina
Original language name
Polynomial chaos in evaluating failure probability: A comparative study
Original language description
Recent developments in the field of stochastic mechanics and particularly regarding the stochastic finite element method allow to model uncertain behaviours for more complex engineering structures. In reliability analysis, polynomial chaos expansion is a useful tool because it helps to avoid thousands of time-consuming finite element model simulations for structures with uncertain parameters. The aim of this paper is to review and compare available techniques for both the construction of polynomial chaos and its use in computing failure probability. In particular, we compare results for the stochastic Galerkin method, stochastic collocation, and the regression method based on Latin hypercube sampling with predictions obtained by crude Monte Carlo sampling. As an illustrative engineering example, we consider a simple frame structure with uncertain parameters in loading and geometry with prescribed distributions defined by realistic histograms.
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
20101 - Civil engineering
Result continuities
Project
<a href="/en/project/GA15-07299S" target="_blank" >GA15-07299S: Numerical tools for model-based design of robust and optimised experiments</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of mathematics
ISSN
0862-7940
e-ISSN
1572-9109
Volume of the periodical
63
Issue of the periodical within the volume
6
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
25
Pages from-to
713-737
UT code for WoS article
000453844300007
EID of the result in the Scopus database
2-s2.0-85059002866