Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges

Piers and bearings influence each other in earthquakes, and the failure of any component will affect the whole function of bridges. Thus, it is critical to consider the correlations between multiple components in the seismic vulnerability analysis of the overall bridge system. In this paper, a metho...

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Main Authors: Ming Ma, Xiaoguang Wang, Naidong Liu, Shuai Song, Shuai Wang
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2022/3001933
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author Ming Ma
Xiaoguang Wang
Naidong Liu
Shuai Song
Shuai Wang
author_facet Ming Ma
Xiaoguang Wang
Naidong Liu
Shuai Song
Shuai Wang
author_sort Ming Ma
collection DOAJ
description Piers and bearings influence each other in earthquakes, and the failure of any component will affect the whole function of bridges. Thus, it is critical to consider the correlations between multiple components in the seismic vulnerability analysis of the overall bridge system. In this paper, a method of overall seismic vulnerability analysis with nested copula model was proposed to model the correlations between multiple components. The components were combined according to their types to construct the hierarchical structure of the system. The correlation of components was modeled with copula functions, and the nested copula model of the system was eventually developed. Maximum likelihood estimation and goodness-of-fit test were used to select and optimize the copula functions. The overall seismic vulnerability of the multispan bridge system was established using the nested copula model. A four-span continuous rigid frame bridge was used to illustrate the application of the proposed method. The results show that the nested copula model accurately simulated the correlations between multiple components, which would eliminate the overestimation or underestimation by the first-order boundary method.
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institution Kabale University
issn 1875-9203
language English
publishDate 2022-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-dec0621becb6413f8165e0c1e7e7d9db2025-02-03T05:50:02ZengWileyShock and Vibration1875-92032022-01-01202210.1155/2022/3001933Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan BridgesMing Ma0Xiaoguang Wang1Naidong Liu2Shuai Song3Shuai Wang4Cccc First Highway Consultants Co., LtdCccc First Highway Consultants Co., LtdDepartment of Civil EngineeringDepartment of Civil EngineeringHenan Provincial Communications PlanningPiers and bearings influence each other in earthquakes, and the failure of any component will affect the whole function of bridges. Thus, it is critical to consider the correlations between multiple components in the seismic vulnerability analysis of the overall bridge system. In this paper, a method of overall seismic vulnerability analysis with nested copula model was proposed to model the correlations between multiple components. The components were combined according to their types to construct the hierarchical structure of the system. The correlation of components was modeled with copula functions, and the nested copula model of the system was eventually developed. Maximum likelihood estimation and goodness-of-fit test were used to select and optimize the copula functions. The overall seismic vulnerability of the multispan bridge system was established using the nested copula model. A four-span continuous rigid frame bridge was used to illustrate the application of the proposed method. The results show that the nested copula model accurately simulated the correlations between multiple components, which would eliminate the overestimation or underestimation by the first-order boundary method.http://dx.doi.org/10.1155/2022/3001933
spellingShingle Ming Ma
Xiaoguang Wang
Naidong Liu
Shuai Song
Shuai Wang
Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges
Shock and Vibration
title Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges
title_full Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges
title_fullStr Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges
title_full_unstemmed Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges
title_short Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges
title_sort nested copula model for overall seismic vulnerability analysis of multispan bridges
url http://dx.doi.org/10.1155/2022/3001933
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AT naidongliu nestedcopulamodelforoverallseismicvulnerabilityanalysisofmultispanbridges
AT shuaisong nestedcopulamodelforoverallseismicvulnerabilityanalysisofmultispanbridges
AT shuaiwang nestedcopulamodelforoverallseismicvulnerabilityanalysisofmultispanbridges