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Probabilistic models of impedance matrices. Application to dynamic soil-structure interaction

Abstract : In many application fields, as in civil engineering or aeronautics, engineers have to deal with design problems where the structure iscoupled to an unbounded domain. For these problems, only the structure is of interest, and the behavior of the exterior domain is taken into account through its equivalent stiffness, in statics, or its impedance matrix, in dynamics. The models for the unbounded domains considered in these applications are usually coarse and the information available on their properties scarse and polluted. This leads to errors in the estimation of the behavior of the structure, which may partially be taken into account by using probabilistic approaches.

We present, in this Ph.D. thesis a probabilistic model of impedance matrices, which generalizes the nonparametric approaches introduced recently by Soize for the predictions of vibrations in random structures. The construction of this probabilistic model first requires then construction of a deterministic model, so-called hidden variables model, that verifies the basic properties of impedance matrices, among which the causality. The hidden variables model has to be identified from numerical results or experimental measures, and the identification procedure is also developed in this thesis.

Two applications are presented. Our nonparametric model of the impedance matrix is first compared to a parametric model, on a classical problem in dynamic soil-structure interaction, to illustrate the main differences between the two approaches. Then, it is used in a more industrial seismic design problem, to show the practical application of the nonparamatric probabilistic model of impedance matrices
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Contributor : Régis Cottereau Connect in order to contact the contributor
Submitted on : Friday, February 23, 2007 - 10:20:38 AM
Last modification on : Thursday, April 14, 2022 - 4:49:55 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 10:09:43 PM


  • HAL Id : tel-00132950, version 1



Régis Cottereau. Probabilistic models of impedance matrices. Application to dynamic soil-structure interaction. Materials. Ecole Centrale Paris, 2007. English. ⟨tel-00132950⟩



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