Vibration Testing for Detecting Internal Corrosion

Kaouthar Louati (1, 2) , Habib Ammari (3) , Hyeonbae Kang (4) , Eunjoo Kim (4) , Hyundae Lee (4)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 MODAL'X - Modélisation aléatoire de Paris X
3 LOA - Laboratoire Ondes et Acoustique (UMR 7587)
4 Department of Mathematical Sciences

The vibration behavior of structures can be characterized in terms of resonance frequencies and mode shapes which describe properties of the tested object in a global way but do not in general provide information about structural details. We develop a simple method to address the inverse problem of identifying an internal corrosive part of small Hausdorff measure in a pipeline by vibration analysis. The viability of our reconstruction method is documented by a variety of numerical results from synthetic, noiseless and noisy data.

Domaines: Analyse classique [math.CA]; Mathématiques générales [math.GM]

Kaouthar Louati, Habib Ammari, Hyeonbae Kang, Eunjoo Kim, Hyundae Lee. Vibration Testing for Detecting Internal Corrosion. 2007. ⟨hal-00125820⟩