Abstract
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. Following an asymptotic formalism, in much the same spirit as the work in [3] and recent text [1], we develop an efficient method to address the inverse problem of identifying an internal corrosive part of small Hausdorff measure in a two‐dimensional structure by vibration analysis. The viability of our reconstruction method is documented by a variety of numerical results from synthetic, noiseless and noisy data.
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