Construction of a probabilistic model for impedance matrices

Abstract : 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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R. Cottereau, D. Clouteau, Christian Soize. Construction of a probabilistic model for impedance matrices. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2007, 196 (17-20), pp.2252-2268. ⟨10.1016/j.cma.2006.12.001⟩. ⟨hal-00686151⟩

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