Sampling techniques in bayesian finite element model updating

I. Boulkaibet, T. Marwala, L. Mthembu, M. I. Friswell, S. Adhikari

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

19 Citations (Scopus)

Abstract

Recent papers in the field of Finite Element Model (FEM) updating have highlighted the benefits of Bayesian techniques. The Bayesian approaches are designed to deal with the uncertainties associated with complex systems, which is the main problem in the development and updating of FEMs. This paper highlights the complexities and challenges of implementing any Bayesian method when the analysis involves a complicated structural dynamic model. In such systems an analytical Bayesian formulation might not be available in an analytic form; therefore this leads to the use of numerical methods, i.e. sampling methods. The main challenge then is to determine an efficient sampling of the model parameter space. In this paper, three sampling techniques, the Metropolis-Hastings (MH) algorithm, Slice Sampling and the Hybrid Monte Carlo (HMC) technique, are tested by updating a structural beam model. The efficiency and limitations of each technique is investigated when the FEM updating problem is implemented using the Bayesian Approach. Both MH and HMC techniques are found to perform better than the Slice sampling when Young's modulus is chosen as the updating parameter. The HMC method gives better results than MH and Slice sampling techniques, when the area moment of inertias and section areas are updated.

Original languageEnglish
Title of host publicationTopics in Model Validation and Uncertainty Quantification - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012
Pages75-83
Number of pages9
DOIs
Publication statusPublished - 2012
Event30th IMAC, A Conference on Structural Dynamics, 2012 - Jacksonville, FL, United States
Duration: 30 Jan 20122 Feb 2012

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
Volume4
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Conference

Conference30th IMAC, A Conference on Structural Dynamics, 2012
Country/TerritoryUnited States
CityJacksonville, FL
Period30/01/122/02/12

Keywords

  • Bayesian
  • Finite element model updating
  • Hybrid monte carlo method
  • Markov chain monte carlo
  • Metropolis-hastings method
  • Sampling
  • Slice sampling method

ASJC Scopus subject areas

  • General Engineering
  • Computational Mechanics
  • Mechanical Engineering

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