MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS

Reliability is one of important index in the analysis and evaluation of mechanical structure. Aiming at the problems of various failure modes and low efficiency of reliability evaluation for complex mechanical structures, the reliability analysis method based on polynomial chaos expansions is applie...

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Main Authors: WANG ZhiMing, ZHENG Lei, ZHANG LuXi, YUAN Hao, LIU WeiMin
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2022-01-01
Series:Jixie qiangdu
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Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.04.014
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author WANG ZhiMing
ZHENG Lei
ZHANG LuXi
YUAN Hao
LIU WeiMin
author_facet WANG ZhiMing
ZHENG Lei
ZHANG LuXi
YUAN Hao
LIU WeiMin
author_sort WANG ZhiMing
collection DOAJ
description Reliability is one of important index in the analysis and evaluation of mechanical structure. Aiming at the problems of various failure modes and low efficiency of reliability evaluation for complex mechanical structures, the reliability analysis method based on polynomial chaos expansions is applied to the reliability analysis of mechanical structures by combining Monte Carlo random sampling and polynomial chaos expansions. In addition, considering the correlation of parameters and various failure modes in the limit state function, the reliability evaluation method of mechanical structure considering failure correlation is given. Finally, a worm gear two-stage reducer is taken as an example to verify the proposed method according to analyzes the various limit state function of different failure form. The computational results show that the reliability evaluation method based on polynomial chaos expansions is efficient and accurate in mechanical structure reliability analysis. And when failure correlation is considered, it is also simple because of avoiding the complex transformation calculation problem.
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institution Kabale University
issn 1001-9669
language zho
publishDate 2022-01-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-71b017dbf92a43118badb22b67baed4e2025-01-15T02:24:04ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692022-01-014485285829914100MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONSWANG ZhiMingZHENG LeiZHANG LuXiYUAN HaoLIU WeiMinReliability is one of important index in the analysis and evaluation of mechanical structure. Aiming at the problems of various failure modes and low efficiency of reliability evaluation for complex mechanical structures, the reliability analysis method based on polynomial chaos expansions is applied to the reliability analysis of mechanical structures by combining Monte Carlo random sampling and polynomial chaos expansions. In addition, considering the correlation of parameters and various failure modes in the limit state function, the reliability evaluation method of mechanical structure considering failure correlation is given. Finally, a worm gear two-stage reducer is taken as an example to verify the proposed method according to analyzes the various limit state function of different failure form. The computational results show that the reliability evaluation method based on polynomial chaos expansions is efficient and accurate in mechanical structure reliability analysis. And when failure correlation is considered, it is also simple because of avoiding the complex transformation calculation problem.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.04.014Structural reliabilityPolynomial chaos expansionsFailure correlationTwo-stage reducerMonte Carlo simulation
spellingShingle WANG ZhiMing
ZHENG Lei
ZHANG LuXi
YUAN Hao
LIU WeiMin
MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS
Jixie qiangdu
Structural reliability
Polynomial chaos expansions
Failure correlation
Two-stage reducer
Monte Carlo simulation
title MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS
title_full MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS
title_fullStr MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS
title_full_unstemmed MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS
title_short MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS
title_sort mechanical structural reliability analysis based on polynomial chaos expansions
topic Structural reliability
Polynomial chaos expansions
Failure correlation
Two-stage reducer
Monte Carlo simulation
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.04.014
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AT yuanhao mechanicalstructuralreliabilityanalysisbasedonpolynomialchaosexpansions
AT liuweimin mechanicalstructuralreliabilityanalysisbasedonpolynomialchaosexpansions