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On the Robustness of the Minkowski Distance for Histogram Dissimilarity Evaluation with Focus on Damage Location in Beam-Like Structural Elements

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Author(s): Petru-Florin Minda | Nicoleta Gillich | Carla Protocsil | Peter Lorenz | Gilbert-Rainer Gillich | Florian Muntean

Journal: Analele Universităţii Eftimie Murgu Reşiţa. Fascicula de Inginerie
ISSN 1453-7397

Volume: XX;
Issue: 3;
Start page: 179;
Date: 2013;
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Keywords: beam | frequency | damage detection | histogram | Minkowski Distance

ABSTRACT
This paper analyses the robustness of a histogram dissimilarity estimator, namely the Minkowski Distance, and its sensitivity to input/ measurement errors. As a result of prior researches we developed a method to detect, locate and assess damages in beams, based on frequency shifts. The localization process consists in fact in comparing a histogram derived from vibration measurements, with numerous histograms representing the damage signature for all possible locations along the beam. We tested the stability of Minkowski Distance L2, for frequencies measured on real beams; other tests were made for results artificially debased by noise. In all cases this metrics proved its robustness and reliability.
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