Goal-oriented updating of mechanical models

4th International Workshop on New Computational Methods for Inverse Problems

物理学;计算机科学

Chamoin, L.^1 ; Ladevèze, P.^1 ; Waeytens, J.^2

LMT-Cachan, ENS Cachan/CNRS, 61 Av. du Prés. Wilson, Cachan cedex

94235, France^1

Paris-Est University, IFSTTAR, 14-20 Bd Newton, Marne-La-Vallée cedex 2

77447, France^2

关键词: Adjoint techniques;    Constitutive Relation Errors;    Linear elasticity;    Mechanical model;    Noisy measurements;    Quantity of interest;    Transient thermal models;    Updating methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/542/1/012004/pdf
DOI  :  10.1088/1742-6596/542/1/012004

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

We introduce a goal-oriented procedure for the updating of mechanical models. It exploits as usual information coming from experimental data, but these are post-processed in a specific way in order to firstly update model parameters which are the most influent for the prediction of a given quantity of interest. The objective is thus to perform a partial model updating that enables to obtain an approximate value of the quantity of interest with sufficient accuracy and minimal model identification effort. The updating method uses the constitutive relation error framework, as well as duality and adjoint techniques, and defines dedicated cost functions. It leads to a convenient strategy that automatically selects the relevant parameter set to be updated. Performances of the approach are analyzed on examples involving linear elasticity and transient thermal models with possible noisy measurements.