On a space-frequency regularization for source reconstruction

Mathieu Aucejo (1) , Olivier de Smet (1)

1 LMSSC - Laboratoire de Mécanique des Structures et des Systèmes Couplés

To identify mechanical sources acting on a structure, Tikhonov-like regularizations are generally used. These approaches, referred to as additive regularizations, require the calculation of a regularization parameter from adapted selection procedures such as the L-curve method. However, such selection procedures can be computationally intensive. In this contribution, a space-frequency multiplicative regularization is introduced. The proposed strategy has the merit of avoiding the need for the determination of a regularization parameter beforehand, while taking advantage of one's prior knowledge of the type of the sources as well as the nature of the excitation signal. By construction, the regularized solution is computed in an iterative manner, which allows adapting the importance of the regularization term all along the resolution process. The validity of the proposed approach is illustrated numerically on a simply supported beam.

Domaines: Sciences de l'ingénieur [physics]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]

Mathieu Aucejo, Olivier de Smet. On a space-frequency regularization for source reconstruction. 13th International Conference on Motion and Vibration Control and of the 12th International Conference on Recent Advances in Structural Dynamics, MOVIC RASD 2016, Jul 2016, Southampton, United Kingdom. pp.012191, ⟨10.1088/1742-6596/744/1/012191⟩. ⟨hal-02068543⟩