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Difference recurrence plots for structural inspection using guided ultrasonic waves

A new approach for evaluation of small signal differences

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Abstract

We propose a novel recurrence plot-based approach, the difference recurrence plot (DRP), to detect small deviations between measurements. By using a prototypical model system, we demonstrate the potential of DRPs and the difference to alternative measures, such as Pearson correlation, spectral analysis, or cross and joint recurrence analysis. Real-world data comes from an application of guided ultrasonic waves for structural health monitoring to detect damages in a composite plate. The specific challenge for this damage detection is to differentiate between defects and the influence of temperature. We show that DRPs are suited in the following sense: DRPs of two time series that derive from measurements at different temperatures hold practically full recurrence, whereas DRPs of one time series from a measurement without and one time series with defect show a hugely reduced recurrence rate.

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Data availability statement

This manuscript has associated data in a data repository. [Authors’ comment: Matlab Code for computations in chapter 3 and Python Code for RQA computations in chapter 4 can be found at Zenodo https://doi.org/10.5281/zenodo.7229221.]

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Authors and Affiliations

  1. Private Researcher, Bremen, Germany

    Carsten Brandt

  2. Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association, Telegrafenberg A31, 14473, Potsdam, Germany

    Norbert Marwan

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  1. Carsten Brandt
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Correspondence to Carsten Brandt.

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Brandt, C., Marwan, N. Difference recurrence plots for structural inspection using guided ultrasonic waves. Eur. Phys. J. Spec. Top. 232, 69–81 (2023). https://doi.org/10.1140/epjs/s11734-022-00701-8

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