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| HAL: emse-00495345, version 1 |
| DOI: 10.2514/1.40922 |
| Detailed view |  Export this paper |
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| AIAA Journal 48, 5 (2010) 893-903 |
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| Introduction to the Bayesian Approach Applied to Elastic Constants Identification |
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| Christian Gogu 1, 2R.T Haftka |
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| (2010) |
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| The basic formulation of the least-squares method, based on the L2 norm of the residuals, is still widely used today for identifying elastic constants of aerospace materials from experimental data. While this method often works well, methods that can benefit from statistical information, such as the Bayesian method, may sometimes be more accurate. We seek situations with significant difference between the material properties identified by the two methods. For a simple three-bar truss example we illustrate three situations in which the Bayesian approach systematically leads to more accurate results: different sensitivity of the measured response to the parameters to be identified, different uncertainty in the measurements, and correlation among response components. When all three effects add up, the Bayesian approach can be much more accurate. Furthermore, the Bayesian approach has the additional advantage of providing the uncertainty in the identified parameters.We also compare the two methods for a more realistic problem of identification of elastic constants from natural frequencies of a composite plate. |
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| 1: | Département Mécanique et Procédés d'Elaboration (MPE-ENSMSE) |
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École Nationale Supérieure des Mines - Saint-Étienne – SMS |
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| 2: | Département d'Ingénierie Mécanique et Aérospatiale |
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Université de Floride |
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| 3: | Equipe : Calcul de Risque, Optimisation et Calage par Utilisation de Simulateurs (CROCUS-ENSMSE) |
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UR LSTI – École Nationale Supérieure des Mines - Saint-Étienne |
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| 4: | UMR 5146 - Laboratoire Claude Goux (LCG-ENSMSE) |
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École Nationale Supérieure des Mines - Saint-Étienne |
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| 5: | Laboratoire de Tribologie et Dynamique des Systèmes (LTDS-ENSMSE) |
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CNRS – Ecole Centrale de Lyon – Ecole Nationale d'Ingénieurs de Saint Etienne – École Nationale Supérieure des Mines - Saint-Étienne |
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| subject | : | Mathematics/Optimization and Control Engineering Sciences/Mechanics Engineering Sciences/Materials |
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| bayesian identification – bayes – identification – elastic constants identification |
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| emse-00495345, version 1 | |
| http://hal-emse.ccsd.cnrs.fr/emse-00495345 | |
| oai:hal-emse.ccsd.cnrs.fr:emse-00495345 | |
| From: Le Riche Rodolphe | |
| Submitted on: Friday, 25 June 2010 15:29:22 | |
| Updated on: Tuesday, 20 March 2012 11:26:27 | |
