Abstract
This paper introduces the concept of interval fields for the dynamic analysis of uncertain mechanical structures in the context of finite element analysis. The theoretic background of the concept is explained, and it is shown how it can be applied to represent dependent uncertainty in the model definition phase and in the post-processing phase. Further, the paper concentrates on the calculation of interval fields resulting from a dynamic analysis. A procedure is introduced that enables the calculation of a joint representation of multiple output quantities of a single interval finite element problem while preserving the mutual dependence between the components of the output vector. The application of the approach is illustrated using a vibro-acoustic finite element analysis.
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© 2011 Springer Science+Business Media B.V.
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Moens, D., De Munck, M., Desmet, W., Vandepitte, D. (2011). Numerical dynamic analysis of uncertain mechanical structures based on interval fields. In: Belyaev, A., Langley, R. (eds) IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. IUTAM Bookseries, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0289-9_6
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DOI: https://doi.org/10.1007/978-94-007-0289-9_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0288-2
Online ISBN: 978-94-007-0289-9
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