Vibration Analysis for Detecting Internal Corrosion

摘要

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.