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Sur une théorie des méconnaissances en dynamique des structures

Abstract : Concerning the quantification of the quality of a model
in comparison with an experimental reference, we present a new
theory based on the concept of Lack Of Knowledge (LOK) combining
interval analysis with probabilistic features: the basic principle
consists in globalizing the various sources of errors on the
substructure level using a scalar internal variable, called the
LOK variable, defined over an interval whose upper and lower
bounds follow probabilistic laws.

From these basic LOKs, we can derive for the whole
structure the effective LOK for a quantity of interest (e.g. an
eigenpulsation), resulting in an interval with stochastic bounds
that we can compare with experimental values.

The quantification of the quality of a model results in
the determination of the basic LOKs the most representative of the
experimental data. The process uses additional experimental
information to reduce the LOKs and is successfully applied to
academic as well as industrial cases.
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Contributor : Guillaume Puel <>
Submitted on : Monday, February 14, 2005 - 7:21:22 PM
Last modification on : Monday, February 15, 2021 - 10:49:19 AM
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  • HAL Id : tel-00008493, version 1


Guillaume Puel. Sur une théorie des méconnaissances en dynamique des structures. Mécanique []. École normale supérieure de Cachan - ENS Cachan, 2004. Français. ⟨tel-00008493⟩



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