CSMA2026

Non-linear parametric identification using model reduction based MCRE and MDKF
Mainak Bhattacharyya  1, *@  , Ludovic Chamoin  1@  
1 : Ecole Normale Supérieure Paris-Saclay  (ENS Paris Saclay)  -  Site web
Université Paris-Saclay, CentraleSupélec, ENS Paris-Saclay, CNRS, LMPS - Laboratoire de Mécanique Paris-Saclay, 91190, Gif-sur-Yvette, France.
4 avenue des Sciences, 91190 Gif-sur-Yvette -  France
* : Auteur correspondant

This article essentially addresses the numerical frugality of model updating procedures for non-linear material behaviour using reduced order modelling. A proper generalised decomposition based formulation has been introduced that separates the governing equations into sundered space and time problems, providing low fidelity approximations. A proper orthogonal decomposition based model reduction method has also been introduced to tackle variable Hooke's tensor due to softening behaviour. A newly formulated Kalman filter is also introduced in this article for sequential model updating procedures.


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