Civil and Environmental Engineering at Duke

publications by Lawrie Virgin.


Papers Published

  1. 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 (2003), pp. 1305 - 1320 [1521] .
    (last updated on 2007/03/23)

    Abstract:
    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.

    Keywords:
    Health;Vibration control;Cantilever beams;Correlation methods;

 

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