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Seismic fragility analysis of bridge structures based on improved cloud method.

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Title: Seismic fragility analysis of bridge structures based on improved cloud method.
Authors: Lu, Ao1 luwhut@163.com, Zhang, Chunhua1 cucy@foxmail.com, Huang, Fang2 hf2013beibei@163.com, Wang, Shuang3 shuang.wang@ksj.com.cn, Liu, Ying1 ly_7086@126.com, Wu, Zi1 deadeazoe@hotmail.com
Source: Archives of Civil Engineering (Polish Academy of Sciences). 2026, Vol. 72 Issue 1, p151-167. 17p.
Subjects: Bridge design & construction, Latin hypercube sampling, Earthquake hazard analysis
Abstract: The cloud image method is widely used in the result vulnerability analysis because of its convenient calculation. However, there are some problems in the cloud image method, such as the engineering demand parameter (EDP) does not meet the lognormal distribution, the seismic intensity index ln(IM) does not meet the linear relationship with the engineering demand parameter (ln(EDP)), and the residual does not meet the normal distribution. Therefore, this paper introduces two methods of Box-Cox transform and 3-sigma criterion, and combines Latin hypercube sampling to propose a vulnerability analysis method that not only maintains the advantages of less analysis times of the cloud image method but also improves the normality of ln(EDP), the correlation between independent variables and dependent variables and the normality of residuals of cloud image method. Finally, taking a continuous beam bridge as an example, the time history analysis of the whole bridge model is carried out to verify whether the variables before and after the correction meet the normal distribution, and the effectiveness of the improved method is evaluated; By establishing the vulnerability curve of the cloud image method and the improved method, the cloud image method and the improved method are evaluated. The results show that the introduction of Box-Cox transformation and 3-sigma criterion can improve the linearity and normality of the probabilistic seismic demand model, and ensure the accuracy of the vulnerability calculation results. Using the Latin hypercube sampling method to consider the uncertainty of the structure can make the vulnerability results more realistic. [ABSTRACT FROM AUTHOR]
Copyright of Archives of Civil Engineering (Polish Academy of Sciences) is the property of Polish Academy of Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Seismic fragility analysis of bridge structures based on improved cloud method.
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  Data: <searchLink fieldCode="AR" term="%22Lu%2C+Ao%22">Lu, Ao</searchLink><relatesTo>1</relatesTo><i> luwhut@163.com</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Chunhua%22">Zhang, Chunhua</searchLink><relatesTo>1</relatesTo><i> cucy@foxmail.com</i><br /><searchLink fieldCode="AR" term="%22Huang%2C+Fang%22">Huang, Fang</searchLink><relatesTo>2</relatesTo><i> hf2013beibei@163.com</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Shuang%22">Wang, Shuang</searchLink><relatesTo>3</relatesTo><i> shuang.wang@ksj.com.cn</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Ying%22">Liu, Ying</searchLink><relatesTo>1</relatesTo><i> ly_7086@126.com</i><br /><searchLink fieldCode="AR" term="%22Wu%2C+Zi%22">Wu, Zi</searchLink><relatesTo>1</relatesTo><i> deadeazoe@hotmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Archives+of+Civil+Engineering+%28Polish+Academy+of+Sciences%29%22">Archives of Civil Engineering (Polish Academy of Sciences)</searchLink>. 2026, Vol. 72 Issue 1, p151-167. 17p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Bridge+design+%26+construction%22">Bridge design & construction</searchLink><br /><searchLink fieldCode="DE" term="%22Latin+hypercube+sampling%22">Latin hypercube sampling</searchLink><br /><searchLink fieldCode="DE" term="%22Earthquake+hazard+analysis%22">Earthquake hazard analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The cloud image method is widely used in the result vulnerability analysis because of its convenient calculation. However, there are some problems in the cloud image method, such as the engineering demand parameter (EDP) does not meet the lognormal distribution, the seismic intensity index ln(IM) does not meet the linear relationship with the engineering demand parameter (ln(EDP)), and the residual does not meet the normal distribution. Therefore, this paper introduces two methods of Box-Cox transform and 3-sigma criterion, and combines Latin hypercube sampling to propose a vulnerability analysis method that not only maintains the advantages of less analysis times of the cloud image method but also improves the normality of ln(EDP), the correlation between independent variables and dependent variables and the normality of residuals of cloud image method. Finally, taking a continuous beam bridge as an example, the time history analysis of the whole bridge model is carried out to verify whether the variables before and after the correction meet the normal distribution, and the effectiveness of the improved method is evaluated; By establishing the vulnerability curve of the cloud image method and the improved method, the cloud image method and the improved method are evaluated. The results show that the introduction of Box-Cox transformation and 3-sigma criterion can improve the linearity and normality of the probabilistic seismic demand model, and ensure the accuracy of the vulnerability calculation results. Using the Latin hypercube sampling method to consider the uncertainty of the structure can make the vulnerability results more realistic. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Archives of Civil Engineering (Polish Academy of Sciences) is the property of Polish Academy of Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.24425/ace.2026.157466
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      – Code: eng
        Text: English
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        PageCount: 17
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      – SubjectFull: Latin hypercube sampling
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      – SubjectFull: Earthquake hazard analysis
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      – TitleFull: Seismic fragility analysis of bridge structures based on improved cloud method.
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            NameFull: Lu, Ao
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            NameFull: Zhang, Chunhua
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            NameFull: Liu, Ying
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            – D: 01
              M: 01
              Text: 2026
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