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Shock and Vibration
Volume 15, Issue 3-4, Pages 245-256

An Updating Method for Structural Dynamics Models with Uncertainties

B. Faverjon, P. Ladevèze, and F. Louf

LMT-Cachan (ENS Cachan/CNRS UMR8535/Paris 6 University), 61, avenue du Président Wilson, F-94235 Cachan Cedex, France

Received 29 April 2007; Revised 29 April 2007

Copyright © 2008 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


One challenge in the numerical simulation of industrial structures is model validation based on experimental data. Among the indirect or parametric methods available, one is based on the “mechanical” concept of constitutive relation error estimator introduced in order to quantify the quality of finite element analyses. In the case of uncertain measurements obtained from a family of quasi-identical structures, parameters need to be modeled randomly. In this paper, we consider the case of a damped structure modeled with stochastic variables. Polynomial chaos expansion and reduced bases are used to solve the stochastic problems involved in the calculation of the error.