Structural reliability analysis using evidence theory and fuzzy probability distributions

A structural element failure probability (as a structural reliability measure) is an indicator of the structural safety. Approaches for structural reliability analysis with incomplete statistical data are a special scientific problem. In the development of this scientific direction, the article prop...

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Main Authors: Solovyev Sergey, Soloveva Anastasia
Format: Article
Language:English
Published: Peter the Great St. Petersburg Polytechnic University 2021-11-01
Series:Magazine of Civil Engineering
Subjects:
Online Access:http://engstroy.spbstu.ru/article/2021.107.04/
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author Solovyev Sergey
Soloveva Anastasia
author_facet Solovyev Sergey
Soloveva Anastasia
author_sort Solovyev Sergey
collection DOAJ
description A structural element failure probability (as a structural reliability measure) is an indicator of the structural safety. Approaches for structural reliability analysis with incomplete statistical data are a special scientific problem. In the development of this scientific direction, the article proposed a method for structural reliability analysis based on a combination of evidence theory and fuzzy probability distributions when the problem of reliability analysis involves quantitative and qualitative uncertainty at the same time. The article presents an experimental study of reliability analysis for a steel truss by the truss members strength criterion based on various approaches to reliability analysis. The reliability interval [0.99272; 1] of the proposed method covers the FOSM (First Order Second Moment) reliability value of 0.99354. From the experiment results, it follows that the proposed approach can be used in practice for a more cautious assessment of the structural reliability with incomplete statistical information. The proposed approach also allows reducing the number of tests and getting an operational (preliminary) assessment of the structural element reliability. The value of the acceptable reliability level in discrete or interval form should be set individually for each design situation taking into account the risk of economic and non-economic losses.
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spelling doaj.art-5591c8c642d94a77a37f56ba773cb6f52022-12-21T19:33:42ZengPeter the Great St. Petersburg Polytechnic UniversityMagazine of Civil Engineering2712-81722021-11-011070710.34910/MCE.107.420714726Structural reliability analysis using evidence theory and fuzzy probability distributionsSolovyev Sergey0https://orcid.org/0000-0001-7083-7963Soloveva Anastasia1Vologda State UniversityVologda State UniversityA structural element failure probability (as a structural reliability measure) is an indicator of the structural safety. Approaches for structural reliability analysis with incomplete statistical data are a special scientific problem. In the development of this scientific direction, the article proposed a method for structural reliability analysis based on a combination of evidence theory and fuzzy probability distributions when the problem of reliability analysis involves quantitative and qualitative uncertainty at the same time. The article presents an experimental study of reliability analysis for a steel truss by the truss members strength criterion based on various approaches to reliability analysis. The reliability interval [0.99272; 1] of the proposed method covers the FOSM (First Order Second Moment) reliability value of 0.99354. From the experiment results, it follows that the proposed approach can be used in practice for a more cautious assessment of the structural reliability with incomplete statistical information. The proposed approach also allows reducing the number of tests and getting an operational (preliminary) assessment of the structural element reliability. The value of the acceptable reliability level in discrete or interval form should be set individually for each design situation taking into account the risk of economic and non-economic losses.http://engstroy.spbstu.ru/article/2021.107.04/durabilityreliabilitystructural mechanicsfailure probabilitystructural designsteel trusssafetyinterval datastrength
spellingShingle Solovyev Sergey
Soloveva Anastasia
Structural reliability analysis using evidence theory and fuzzy probability distributions
Magazine of Civil Engineering
durability
reliability
structural mechanics
failure probability
structural design
steel truss
safety
interval data
strength
title Structural reliability analysis using evidence theory and fuzzy probability distributions
title_full Structural reliability analysis using evidence theory and fuzzy probability distributions
title_fullStr Structural reliability analysis using evidence theory and fuzzy probability distributions
title_full_unstemmed Structural reliability analysis using evidence theory and fuzzy probability distributions
title_short Structural reliability analysis using evidence theory and fuzzy probability distributions
title_sort structural reliability analysis using evidence theory and fuzzy probability distributions
topic durability
reliability
structural mechanics
failure probability
structural design
steel truss
safety
interval data
strength
url http://engstroy.spbstu.ru/article/2021.107.04/
work_keys_str_mv AT solovyevsergey structuralreliabilityanalysisusingevidencetheoryandfuzzyprobabilitydistributions
AT solovevaanastasia structuralreliabilityanalysisusingevidencetheoryandfuzzyprobabilitydistributions