.. _R7.20.02:

**r7.20.02** Extrapolation of measurements on a numerical model in dynamics
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**Summary:**

An approach for extrapolating the results of experimental measurements in dynamics (displacements, speeds, accelerations, deformations, constraints) on a numerical model is presented. Based on a representation of the structure on a previously chosen projection base, it consists in solving the inverse problem defined by identifying the generalized coordinates relating to the projection base. The proposed resolution uses a minimization, in the sense of least squares, by using the LU decomposition or the decomposition into singular values (SVD), of a functional that is possibly regularized via the addition of a criterion of proximity to a solution that is known a priori. In the case of temporal identification, an explicit formulation of the a priory information is proposed.

 **Table of Contents**




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    :maxdepth: 2
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    Probl_matique
    Notations
    D_marche_d_extrapolation
    Relations_entre_les_grandeurs_physiques_et_les_grandeurs_g_n_ralis_es
    Calcul_des_coordonn_es_g_n_ralis_es
    Mise_en__uvre_dans_Code_Aster
    Bibliographie
    Description_des_versions_du_document