Composite multiscale cross-sample entropy analysis for long-term structural health monitoring of residential buildings

Tzu-Kang Lin*, Dong You Lee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This study proposesd a novel, entropy-based structural health monitoring (SHM) system for measuring microvibration signals generated by actual buildings. A structural health diagnosis interface was established for demonstration purposes. To enhance the reliability and accuracy of entropy evaluation at various scales, composite multiscale cross-sample entropy (CMSCE) was adopted to increase the number of coarse-grained time series. The degree of similarity and asynchrony between ambient vibration signals measured on adjacent floors was used as an in-dicator for structural health assessment. A residential building that has been monitored since 1994 was selected for long-term monitoring. The accumulated database, including both the earthquake and ambient vibrations in each seismic event, provided the possibility to evaluate the practicability of the CMSCE-based method. Entropy curves obtained for each of the years, as well as the stable trend of the corresponding damage index (DI) graphs, demonstrated the relia-bility of the proposed SHM system. Moreover, two large earthquake events that occurred near the monitoring site were analyzed. The results revealed that the entropy values may have been slightly increased after the earthquakes. Positive DI values were obtained for higher floors, which could provide an early warning of structural instability. The proposed SHM system is highly stable and practical.

Original languageEnglish
Article number60
Pages (from-to)1-17
Number of pages17
Issue number1
StatePublished - Jan 2021


  • Composite cross-sample entropy
  • Long-term evaluation
  • Multi-scale
  • Structural health monitoring


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