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Data and model uncertainties in complex aerospace engineering systems.pdf

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Data and model uncertainties in complex aerospace engineering systems

LEOPOLD-FRANZENS UNIVERSITY Chair of Engineering Mechanics o. Univ.-Prof. Dr.-Ing.habil. G.I. Schue?ller, Ph.D. G.I.Schueller@uibk.ac.at Technikerstrasse 13, A-6020 Innsbruck, Austria, EU Tel.: +43 512 507 6841 Fax.: +43 512 507 2905 mechanik@uibk.ac.at, http://mechanik.uibk.ac.at IfM-Publication 2-391 M. F. Pellissetti, E. Capiez-Lernout, H. Pradlwarter, G. I. Schue?ller, and C. Soize. Data and model uncertainties in complex aerospace engineering sys- tems. In C. Soize and G. I. Schue?ller, editors, Structural Dynamics EURODYN 2005 - Proceedings of the 6th International Conference on Structural Dynam- ics, volume 1, pages 677–682, Paris, France, September 4-7 2005. Millpress, Rotterdam. Data and model uncertainties in complex aerospace engineering systems M. Pellissetti 1, E. Capiez-Lernout 2, H. Pradlwarter 1, G.I. Schue?ller 1 C. Soize 2 1 Institute of Engineering Mechanics, Leopold-Franzens University, Innsbruck, Austria 2 Laboratoire de Me?canique, University of Marne-La-Valle?e, Paris, France ABSTRACT: The dynamical analysis of complex mechanical systems is in general very sensitive to random uncertainties. In order to treat the latter in a rational way and to increase the robustness of the dynamical pre- dictions, the random uncertainties can be represented by probabilistic models. The structural complexity of the dynamical systems arising in these fields results in large finite element models with significant random uncer- tainties. Parametric probabilistic models capture the uncertainty in the parameters of the numerical model of the structure, which are often directly related to physical parameters in the actual structure, e.g. Young’s modu- lus. Model uncertainties would have to be modeled separately. On the other hand, the proposed nonparametric model of random uncertainties represents a global probabilistic approach which, in addition, takes directly into account model uncertainty, such as that related to the choice of a particular type of finite eleme