- Nichols, J.M. and Virgin, L.N. and Todd, M.D. and Nichols, J.D., On the use of attractor dimension as a feature in structural health monitoring,
Mechanical Systems and Signal Processing, vol. 17 no. 6
pp. 1305 - 1320  .
(last updated on 2007/03/23)
Recent works in the vibration-based structural health monitoring community have emphasised the use of correlation dimension as a discriminating statistic in separating 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. © 2003 Elsevier Science Ltd. All rights reserved.
Health;Vibration control;Cantilever beams;Correlation methods;