Sampling techniques in bayesian finite element model updating

Boulkaibet, I., Marwala, T., Mthembu, L., Friswell, M.I. and Adhikari, S. (2012) Sampling techniques in bayesian finite element model updating. In: 30th IMAC, A Conference on Structural Dynamics, 2012, Jacksonville, FL., U.S., 30 Jan - 2 Feb 2012, pp. 75-83. ISBN 9781461424307 (doi: 10.1007/978-1-4614-2431-4_8)

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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.

Item Type:Conference Proceedings
Additional Information:Volume 4, 2012, pages 75-83.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Adhikari, Professor Sondipon
Authors: Boulkaibet, I., Marwala, T., Mthembu, L., Friswell, M.I., and Adhikari, S.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Conference Proceedings of the Society for Experimental Mechanics Series
ISSN:2191-5644
ISBN:9781461424307
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