Efficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method

Moment-independent importance (MII) analysis is known as a global sensitivity measurement in qualifying the influence of uncertainties, which is taken as a crucial step towards seismic performance analysis. Most MII analysis is based on Monte Carlo simulation, which leads to a high computational cos...

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Autores principales: Xingyu Li, Ying Lei, Lijun Liu
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:24c90460f2ad41248e397874f4c5937e2021-11-11T15:24:02ZEfficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method10.3390/app1121104052076-3417https://doaj.org/article/24c90460f2ad41248e397874f4c5937e2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10405https://doaj.org/toc/2076-3417Moment-independent importance (MII) analysis is known as a global sensitivity measurement in qualifying the influence of uncertainties, which is taken as a crucial step towards seismic performance analysis. Most MII analysis is based on Monte Carlo simulation, which leads to a high computational cost since a large number of nonlinear time history analyses are required to obtain the probability density function. To address this limitation, this study presents a computational efficient MII analysis to investigate the uncertain parameters in the seismic demands of bridges. A modified four-point-estimate method is derived from Rosenblueth’s two-point-estimate method. Thus, the statistical moments of a bridge’s seismic demands can be obtained by several sampling points and their weights. Then, the shifted generalized lognormal distribution method is adopted to estimate the unconditional and conditional probability density functions of seismic demands, which are used for the MII analysis. The analysis of seismic demands based on piers and bearings in a finite element model of a continuous girder bridge is taken as a validation example. The MII measures of the uncertain parameters are estimated by just several nonlinear time history analyses at the point-estimate sampling points, and the results by the proposed method are compared with those found by Monte Carlo simulation.Xingyu LiYing LeiLijun LiuMDPI AGarticlebridgeseismic demandsensitivity analysismoment-independent importanceuncertain parameterspoint-estimate methodTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10405, p 10405 (2021)
institution DOAJ
collection DOAJ
language EN
topic bridge
seismic demand
sensitivity analysis
moment-independent importance
uncertain parameters
point-estimate method
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle bridge
seismic demand
sensitivity analysis
moment-independent importance
uncertain parameters
point-estimate method
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Xingyu Li
Ying Lei
Lijun Liu
Efficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method
description Moment-independent importance (MII) analysis is known as a global sensitivity measurement in qualifying the influence of uncertainties, which is taken as a crucial step towards seismic performance analysis. Most MII analysis is based on Monte Carlo simulation, which leads to a high computational cost since a large number of nonlinear time history analyses are required to obtain the probability density function. To address this limitation, this study presents a computational efficient MII analysis to investigate the uncertain parameters in the seismic demands of bridges. A modified four-point-estimate method is derived from Rosenblueth’s two-point-estimate method. Thus, the statistical moments of a bridge’s seismic demands can be obtained by several sampling points and their weights. Then, the shifted generalized lognormal distribution method is adopted to estimate the unconditional and conditional probability density functions of seismic demands, which are used for the MII analysis. The analysis of seismic demands based on piers and bearings in a finite element model of a continuous girder bridge is taken as a validation example. The MII measures of the uncertain parameters are estimated by just several nonlinear time history analyses at the point-estimate sampling points, and the results by the proposed method are compared with those found by Monte Carlo simulation.
format article
author Xingyu Li
Ying Lei
Lijun Liu
author_facet Xingyu Li
Ying Lei
Lijun Liu
author_sort Xingyu Li
title Efficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method
title_short Efficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method
title_full Efficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method
title_fullStr Efficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method
title_full_unstemmed Efficient Moment-Independent Sensitivity Analysis of Uncertainties in Seismic Demand of Bridges Based on a Novel Four-Point-Estimate Method
title_sort efficient moment-independent sensitivity analysis of uncertainties in seismic demand of bridges based on a novel four-point-estimate method
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/24c90460f2ad41248e397874f4c5937e
work_keys_str_mv AT xingyuli efficientmomentindependentsensitivityanalysisofuncertaintiesinseismicdemandofbridgesbasedonanovelfourpointestimatemethod
AT yinglei efficientmomentindependentsensitivityanalysisofuncertaintiesinseismicdemandofbridgesbasedonanovelfourpointestimatemethod
AT lijunliu efficientmomentindependentsensitivityanalysisofuncertaintiesinseismicdemandofbridgesbasedonanovelfourpointestimatemethod
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