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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

doi:10.4203/ccp.102.181

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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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.102.181 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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