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Construction of a probabilistic model for impedance matrices

✍ Scribed by R. Cottereau; D. Clouteau; C. Soize

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 831 KB
Volume: 196
Category: Article
ISSN: 0045-7825
DOI: 10.1016/j.cma.2006.12.001

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✦ Synopsis

Impedance matrices allow for the coupling of domains with very different properties, and possibly modeled with different methods. This paper presents the construction of a probabilistic model for such matrices, using a nonparametric method that allows for the consideration of data errors as well as model errors. To enable the application of this method in the case of a domain for which no Finite Element model is available, the identification of a ''hidden state variables model'' -from the knowledge of the impedance matrix at a discrete set of frequencies -is also described. Finally the construction of the probabilistic model of the impedance of a pile foundation on a layered unbounded soil illustrates the capabilities of the method.

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