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Entropy
Volume 21
Issue 7
10.3390/e21070690
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Article

A Sequence-Based Damage Identification Method for Composite Rotors by Applying the Kullback–Leibler Divergence, a Two-Sample Kolmogorov–Smirnov Test and a Statistical Hidden Markov Model

by
Angelos Filippatos
*,
Albert Langkamp
,
Pawel Kostka
and
Maik Gude
Institute of Lightweight Engineering and Polymer Technology (ILK), Technische Universität Dresden, 01307 Dresden, Germany
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 690; https://doi.org/10.3390/e21070690
Received: 8 June 2019 / Revised: 9 July 2019 / Accepted: 10 July 2019 / Published: 15 July 2019
(This article belongs to the Section Multidisciplinary Applications)
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Abstract

Composite structures undergo a gradual damage evolution from initial inter-fibre cracks to extended damage up to failure. However, most composites could remain in service despite the existence of damage. Prerequisite for a service extension is a reliable and component-specific damage identification. Therefore, a vibration-based damage identification method is presented that takes into consideration the gradual damage behaviour and the resulting changes of the structural dynamic behaviour of composite rotors. These changes are transformed into a sequence of distinct states and used as an input database for three diagnostic models, based on the Kullback–Leibler divergence, the two-sample Kolmogorov–Smirnov test and a statistical hidden Markov model. To identify the present damage state based on the damage-dependent modal properties, a sequence-based diagnostic system has been developed, which estimates the similarity between the present unclassified sequence and obtained sequences of damage-dependent vibration responses. The diagnostic performance evaluation delivers promising results for the further development of the proposed diagnostic method. View Full-Text
Keywords: composite rotor; damage identification; structural dynamic behaviour; damage evolution; sequence analysis; hidden Markov model; two-sample Kolmogorov–Smirnov test; Kullback–Leibler divergence composite rotor; damage identification; structural dynamic behaviour; damage evolution; sequence analysis; hidden Markov model; two-sample Kolmogorov–Smirnov test; Kullback–Leibler divergence
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
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MDPI and ACS Style

Filippatos, A.; Langkamp, A.; Kostka, P.; Gude, M. A Sequence-Based Damage Identification Method for Composite Rotors by Applying the Kullback–Leibler Divergence, a Two-Sample Kolmogorov–Smirnov Test and a Statistical Hidden Markov Model. Entropy 2019, 21, 690. https://doi.org/10.3390/e21070690

AMA Style

Filippatos A, Langkamp A, Kostka P, Gude M. A Sequence-Based Damage Identification Method for Composite Rotors by Applying the Kullback–Leibler Divergence, a Two-Sample Kolmogorov–Smirnov Test and a Statistical Hidden Markov Model. Entropy. 2019; 21(7):690. https://doi.org/10.3390/e21070690

Chicago/Turabian Style

Filippatos, Angelos, Albert Langkamp, Pawel Kostka, and Maik Gude. 2019. "A Sequence-Based Damage Identification Method for Composite Rotors by Applying the Kullback–Leibler Divergence, a Two-Sample Kolmogorov–Smirnov Test and a Statistical Hidden Markov Model" Entropy 21, no. 7: 690. https://doi.org/10.3390/e21070690

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