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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by:
Paper 181

Reconstruction of an Impact Force using a Bayesian Approach

S. Samagassi1, A. Khamlichi1, A. Driouach1 and E. Jacquelin2

1Communications Systems Team, Faculty of Sciences at Tetouan
M'hannech, Tetouan, Morocco
2IFSTTAR, LBMC, UMR_T9406, University of Lyon, Villeurbanne, France

Full Bibliographic Reference for this paper
S. Samagassi, A. Khamlichi, A. Driouach, E. Jacquelin, "Reconstruction of an Impact Force using a Bayesian Approach", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 181, 2013. doi:10.4203/ccp.102.181
Keywords: smart structures, inverse problem, force reconstruction, Bayesian theory, Markov Chain Monte Carlo sampling method, Gibbs algorithm, beams.

Summary
In this paper, force reconstruction was performed within the framework of a Bayesian inversion procedure. This was conducted through using the concept of hierarchical modelling and the Markov Chain Monte Carlo sampling method. The Gibbs algorithm was applied to reconstruct the impact pressure developed during a non punctual impact occurring on an elastic beam. The posterior density of probabilities incorporating both the likelihood and prior stochastic information was derived with the assumption that they are multivariate Gaussians with diagonal covariance matrices. As variances of these probability density functions are unknown in most practical problems, they were modelled as additional random variables. The effect of hyper-parameters on reconstruction was finally analyzed.

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