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author:

Fang, Sheng-En (Fang, Sheng-En.) [1] (Scholars:方圣恩) | Chen, Shan (Chen, Shan.) [2] | Dong, Zhao-Liang (Dong, Zhao-Liang.) [3]

Indexed by:

EI PKU CSCD

Abstract:

An improved approximate Bayesian computation method is developed by incorporating approximate Bayesian computation (ABC), Metropolis Hastings (MH) sampling and stochastic response surface (SRS). The improved method aims to fast estimate the posterior probability distributions of random parameters, which are further used to identify structural damage. Firstly, ABC is combined with the MH sampling where the concepts of 'proposal distribution', 'acceptance probability' and 'dynamic tolerance' are introduced to evaluate the sampling accuracy. Meanwhile, in order to avoid solving the likelihood function of the Bayesian formula, an error function is established to evaluate the similarity between simulated and measured samples. Secondarily, SRS is used to express the relationship between the random parameters and responses of a structure. Then the statistical features of the responses can be fast calculated even facing a large number of samples. Lastly, the improved ABC method is applied to evaluate the parameter posterior probability distributions of a reinforced concrete beam. Probabilistic damage indices before and after damage are also constructed and then compared in order to identify the damage locations and severities of the beam. The analysis results demonstrate that the improved ABC method can effectively reduce the solution difficulty for estimating parameter posterior probability distributions. Simultaneously, the solution efficiency of a Bayesian parameter identification problem can be improved. Most important of all, multiple damage locations can be successfully identified by the improved ABC method, instead of the traditional Bayesian method. © 2019, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.

Keyword:

Bayesian networks Concrete beams and girders Damage detection Function evaluation Interactive computer systems Parameter estimation Probability distributions Reinforced concrete Stochastic systems Structural analysis Surface properties

Community:

  • [ 1 ] [Fang, Sheng-En]School of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 2 ] [Fang, Sheng-En]National and Local United Research Center for Seismic and Disaster Informatization of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 3 ] [Chen, Shan]School of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 4 ] [Dong, Zhao-Liang]School of Civil Engineering, Fuzhou University, Fuzhou; 350116, China

Reprint 's Address:

  • 方圣恩

Email:

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Source :

Journal of Vibration Engineering

ISSN: 1004-4523

Year: 2019

Issue: 2

Volume: 32

Page: 224-233

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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