On a space-frequency regularization for source reconstruction

13th International Conference on Motion and Vibration Control; 12th International Conference on Recent Advances in Structural Dynamics

Aucejo, Mathieu^1 ; De Smet, Olivier^1

Structural Mechanics and Coupled Systems Laboratory, Conservatoire National des Arts et Metiers, 2 rue Conté, Paris

75003, France^1

关键词: Excitation signals;    Multiplicative regularizations;    Regularization parameters;    Regularization terms;    Resolution process;    Selection procedures;    Simply supported beams;    Source reconstruction;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/744/1/012191/pdf
DOI  :  10.1088/1742-6596/744/1/012191

来源: IOP

【 摘 要 】

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.