CNCS Center for Nonlinear and Complex Systems
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Publications [#282521] of Lawrence N. Virgin

Papers Published

  1. Nichols, JM; Virgin, LN; Todd, MD; Nichols, JD, On the use of attractor dimension as a feature in structural health monitoring, Mechanical Systems and Signal Processing, vol. 17 no. 6 (January, 2003), pp. 1305-1320, Elsevier BV [1521], [doi]
    (last updated on 2019/09/20)

    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;