On the use of attractor dimension as a feature in structural health monitoring

Nichols, J.M.; Virgin, L.N.; Todd, M.D.; Nichols, J.D.

Abstract:

Recent works in the vibration-based structural health monitoring community have emphasised the use of correlation dimension as a discriminating statistic in seperating a damaged from undamaged response. This paper explores the utility of attractor dimension as a ‘feature‘ and offers some comparisons between different metrics reflecting dimension. This focus is on evaluating the performance of two different measures of dimension as damage indicators in a structural health monitoring context. Results indicate that the correlation dimension is probably a poor choice of statistic for the purpose of signal discrimination. Other measures of dimension may be used for the same purposes with a higher degree of statistical reliability. The question of competing methodologies is placed in a hypothesis testing framework and answered with experimental data taken from a cantilivered beam.

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Article

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5224258

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Nichols, J.M.; Virgin, L.N.; Todd, M.D.; Nichols, J.D.

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Patuxent Wildlife Research Center

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1320

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English

Citation Larger Work Title:

Mechanical Systems and Signal Processing

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1305-1320

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6082_Nichols.pdf

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On the use of attractor dimension as a feature in structural health monitoring; 2003; Article; Journal; Mechanical Systems and Signal Processing; Nichols, J.M.; Virgin, L.N.; Todd, M.D.; Nichols, J.D.