A Stationary Iterated Multiplicative Regularization for Force Reconstruction Problems - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2018

A Stationary Iterated Multiplicative Regularization for Force Reconstruction Problems

Résumé

Iterated Tikhonov regularization can be seen as an iterative refinement of an initial solution obtained by applying the standard Tikhonov regularization. This kind of approach is particularly suited when noisy data with low signal-to-noise ratio (SNR) are to be used. However, to apply such an approach, an initial regularization parameter has to be estimated. Generally, it is obtained numerically through automatic selection procedures that can require intensive computations. In this respect, the multiplicative regularization is an interesting alternative, since it does not require any selection procedure for choosing the regularization parameter. In return, the amount of reg-ularization is automatically adjusted throughout an iterative resolution process. To combine the best of both worlds for solving force reconstruction problems, we propose a stationary iterated multiplicative regularization that allows using prior information on the type of sources acting on the structure. The validity and the suitability of the proposed approach are illustrated numerically on a free-free beam excited by a point force.
Fichier principal
Vignette du fichier
NOVEM2018_Aucejo_hal.pdf (256.69 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02068532 , version 1 (22-03-2019)

Identifiants

  • HAL Id : hal-02068532 , version 1

Citer

Mathieu Aucejo, Olivier de Smet. A Stationary Iterated Multiplicative Regularization for Force Reconstruction Problems. 6th Noise and Vibration Emerging Methods Conference, NOVEM 2018, May 2018, Ibiza, Spain. ⟨hal-02068532⟩
38 Consultations
12 Téléchargements

Partager

Gmail Facebook X LinkedIn More