Bayesian damage characterization based on probabilistic model of scattering coefficients and hybrid wave finite element model scheme

Wangji Yan, Dimitrios Chronopoulos, Costas Papadimitriou, Sergio Cantero-Chinchilla, Guo Shu Zhu

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

Abstract

Ultrasonic Guided Wave(GW) has been proven to be sensitive to small damage. Motivated by the fact that the quantitative relationship between wave scattering and damage intensity can be described by scattering properties, this study aims at proposing a new probabilistic damage characterization method based on the scattering coefficients in tandem with hybrid wave finite element model (WFEM) scheme. The probabilistic distribution properties of the scattering coefficients estimated using measured ultrasonic guided waves in the frequency domain are inferred based on absolute complex ratio statistics. The theoretical scattering coefficients can be efficiently calculated using WFEM which combines conventional finite element analysis with periodic structure theory. Based on the probabilistic distribution of reflection/transmission coefficients, the likelihood function connecting the theoretical model responses containing the parameters to be updated and the measured responses are formulated within a unified Bayesian system identification framework to account for various uncertainties. The transitional Monte Carlo Markov Chain (TMCMC) is used to sample the posterior probability density function of the updated parameters. A numerical example is utilized to verify the accuracy of the proposed algorithm. Results indicate that the strategies proposed in this study can quantify the uncertainties of damage characterization

Original languageEnglish
Title of host publicationCOMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis
PublisherNational Technical University of Athens
Pages2952-2958
Number of pages7
ISBN (Electronic)9786188284470
Publication statusPublished - 2019
Event7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 - Crete, Greece
Duration: 24 Jun 201926 Jun 2019

Publication series

NameCOMPDYN Proceedings
Volume2
ISSN (Print)2623-3347

Conference

Conference7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
CountryGreece
CityCrete
Period24/06/1926/06/19

Keywords

  • Bayesian Analysis
  • Damage Identification
  • Ultrasonic Guided Waves
  • Uncertainty Quantification
  • Wave Finite Elements

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