Effect of Approximation Fidelity on Vibration Based Elastic Constants Identification - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Structural and Multidisciplinary Optimization Année : 2010

Effect of Approximation Fidelity on Vibration Based Elastic Constants Identification

Résumé

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.

Dates et versions

hal-00495325 , version 1 (25-06-2010)

Identifiants

Citer

Christian Gogu, Raphael T. Haftka, Rodolphe Le Riche, Jérôme Molimard. Effect of Approximation Fidelity on Vibration Based Elastic Constants Identification. Structural and Multidisciplinary Optimization, 2010, Volume 42 (Number 2), p 293-304. ⟨10.1007/s00158-010-0493-y⟩. ⟨hal-00495325⟩
197 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More