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Article Dans Une Revue Mechanical Systems and Signal Processing Année : 2017

A multiplicative regularization for force reconstruction

Résumé

Additive regularizations, such as Tikhonov-like approaches, are certainly the most popular methods for reconstructing forces acting on a structure. These approaches require, however, the knowledge of a regularization parameter, that can be numerically computed using specific procedures. Unfortunately, these procedures are generally computationally intensive. For this particular reason, it could be of primary interest to propose a method able to proceed without defining any regularization parameter beforehand. In this paper, a multiplicative regularization is introduced for this purpose. By construction, the regularized solution has to be calculated in an iterative manner. In doing so, the amount of regularization is automatically adjusted throughout the resolution process. Validations using synthetic and experimental data highlight the ability of the proposed approach in providing consistent reconstructions.
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Dates et versions

hal-02068499 , version 1 (15-03-2019)

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Mathieu Aucejo, Olivier de Smet. A multiplicative regularization for force reconstruction. Mechanical Systems and Signal Processing, 2017, 85, pp.730-745. ⟨10.1016/j.ymssp.2016.09.011⟩. ⟨hal-02068499⟩
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