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Detection of changes in cracked aluminium plate determinism by recurrence analysis

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Abstract

The paper investigates changes in determinism of undamaged and cracked aluminium plates with respect to excitation frequencies. Harmonic excitation of frequencies corresponding to structural resonances has been used to vibrate the plates. Vibration responses have been analysed using recurrence plots and recurrence quantification analysis. The smallest sufficient embedding dimension has been estimated using the false nearest neighbour’s algorithm. Mutual information analysis has been applied to determine the relevant time delays. The results demonstrate that performed analysis indicates changes in dynamic behaviour of the plates with respect to various excitation frequencies and crack modes.

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Acknowledgements

The work presented in the paper was founded by the Foundation for Polish Science (under programme MISTRZ).

The authors are grateful to Professor Jerzy Warmiński from Lublin University of Technology, Poland, and Professor Keith Worden from Sheffield University, UK, for valuable comments and discussions.

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  1. Department of Robotics and Mechatronics, Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Mickiewicz Alley 30, 30-059, Krakow, Poland

    Joanna Iwaniec, Tadeusz Uhl, Wiesław J. Staszewski & Andrzej Klepka

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  1. Joanna Iwaniec
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  2. Tadeusz Uhl
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  3. Wiesław J. Staszewski
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  4. Andrzej Klepka
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Correspondence to Joanna Iwaniec.

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Iwaniec, J., Uhl, T., Staszewski, W.J. et al. Detection of changes in cracked aluminium plate determinism by recurrence analysis. Nonlinear Dyn 70, 125–140 (2012). https://doi.org/10.1007/s11071-012-0436-9

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