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| HAL : hal-00495325, version 1 |
| DOI : 10.1007/s00158-010-0493-y |
| Fiche détaillée |  Récupérer au format |
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| Structural and Multidisciplinary Optimization Volume 42, Number 2 (2010) p 293-304 |
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| Effect of Approximation Fidelity on Vibration Based Elastic Constants Identification |
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| Christian Gogu 1, 2Raphael T. Haftka 3 |
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| (2010) |
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| Some applications such as identification or Monte Carlo based uncertainty quantification often require simple analytical formulas that are fast to evaluate. Approximate closed-form solutions for the natural frequencies of free orthotropic plates have been developed and have a wide range of applicability, but, as we show in this article, they lack accuracy for vibration based material properties identification. This article first demonstrates that a very accurate response surface approximation can be constructed by using dimensional analysis. Second, the article investigates how the accuracy of the approximation used propagates to the accuracy of the elastic constants identified from vibration experiments. For a least squares identification approach, the approximate analytical solution led to physically implausible properties, while the high-fidelity response surface approximation obtained reasonable estimates. With a Bayesian identification approach, the lower-fidelity analytical approximation led to reasonable results, but with much lower accuracy than the higher-fidelity approximation. The results also indicate that standard least squares approaches for identifying elastic constants from vibration tests may be ill-conditioned, because they are highly sensitive to the accuracy of the vibration frequencies calculation. |
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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 : | Department of Mechanical and Aerospace Engineering |
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University of Florida |
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| 4 : | 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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| 5 : | UMR 5146 - Laboratoire Claude Goux (LCG-ENSMSE) |
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École Nationale Supérieure des Mines - Saint-Étienne |
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| 6 : | 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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| Domaine | : | Mathématiques/Optimisation et contrôle Sciences de l'ingénieur/Mécanique/Matériaux et structures en mécanique Physique/Mécanique/Matériaux et structures en mécanique |
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| identification – model fidelity – elastic constant identification |
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| hal-00495325, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00495325 | |
| oai:hal.archives-ouvertes.fr:hal-00495325 | |
| Contributeur : Le Riche Rodolphe | |
| Soumis le : Vendredi 25 Juin 2010, 15:02:50 | |
| Dernière modification le : Mardi 10 Avril 2012, 17:42:49 | |
