Comparative Evaluation of Frequency-Based Indicators for Crack Detection

Authors

  • Ioana Ţincu Ph.D. Stud., Babeș-Bolyai University, Doctoral School of Engineering, P-ta Traian Vuia 1–4, 320085 Reșița, Romania, ioana.tincu@ubbcluj.ro
  • Gilbert Rainer Gillich Babeș-Bolyai University, Doctoral School of Engineering, P-ta Traian Vuia 1–4, 320085 Reșița, Romania. *Corresponding author: gilbert.gillich@ubbcluj.ro https://orcid.org/0000-0003-4962-2567
  • Vasile Catalin Rusu Babeș-Bolyai University, Department of Computer Science, Str. Mihail Kogălniceanu nr. 1, RO-400084 Cluj-Napoca, Romania, vasile.rusu@ubbcluj.ro

DOI:

https://doi.org/10.24193/subbeng.2025.1

Keywords:

Crack, Natural Frequency, Artificial Neural Network, Simulated Data, Sensitivity

Abstract

 This paper compares three frequency-based damage indicators: the absolute frequency, the frequency difference, and the relative frequency shift (RFS). The indicators, calculated using mathematical relations developed by the authors, are used to create a database, and an artificial neural network (ANN) is trained on them. This network is used to assess cracks at various locations and with different depths. The frequencies obtained for these cracks are from ANSYS simulations. A comparison of the indicators is made to identify the most sensitive one. It was found that both the relative frequency shift and the frequency difference provide reliable and accurate crack position detection.

References

1 Salawu O.S., Detection of structural damage through changes in frequency: A review, Engineering Structures, 19(9), 1997, pp. 718–723.

2 Doebling S.W., Farrar C.R., Prime M.B., A summary review of vibration-based damage identification methods, Shock and Vibration Digest, 30(2), 1998, pp. 91–105.

3 Farrar C.R., Worden K., Structural Health Monitoring: A Machine Learning Perspective, Wiley, 2012. (Example for Internet sources)

4 Peeters B., De Roeck G., One-year monitoring of the Z24-Bridge: Environmental effects versus damage events, Earthquake Engineering & Structural Dynamics, 30(2), 2001, pp. 149–171.

5 Deraemaeker A., Reynders E., De Roeck G., Kullaa J., Vibration-based structural health monitoring using output-only measurements under changing environment, Mechanical Systems and Signal Processing, 22(1), 2008, pp. 34–56.

6 Dimarogonas A.D., Vibration of cracked structures: A state of the art review, Engineering Fracture Mechanics, 55(5), 1996, pp. 831–857.

7 Cawley P., Adams R.D., The location of defects in structures from measurements of natural frequencies, Journal of Strain Analysis for Engineering Design, 14(2), 1979, pp. 49–57.

8 Gillich G.R., Maia N.M.M., Wahab M.A., Tufisi C., Korka Z.I., Gillich N., Pop M.V., Damage detection on a beam with multiple cracks: A simplified method based on relative frequency shifts, Sensors, 21(15), 2021, paper ID 5215.

9 Gillich G.R., Tufoi M., Korka Z.I., Stanciu E., Petrica A., The Relations between Deflection, Stored Energy and Natural Frequencies, with Application in Damage Detection, Romanian Journal of Acoustics and Vibration, 13(2), 2016, pp. 87–93.

10 Gillich G.R., Maia N., Mituletu I.C., Tufoi M., Iancu V., Korka Z., A new approach for severity estimation of transversal cracks in multi-layered beams, Latin American Journal of Solids and Structures, 13 (8), 2016, pp. 1526–1544.

11 Ostachowicz W.M., Krawczuk C., Analysis of the effect of cracks on the natural frequencies of a cantilever beam, Journal of Sound and Vibration, 150(2), 1991, pp. 191–201.

12 Praisach Z.I., Minda F.P., Gillich G.R., Minda A.A., Relative frequency shift curves fitting using FEM modal analyses, Proceedings of the 4th WSEAS international conference on Finite Differences – Finite Elements – Finite Volumes – Boundary Elements, 2021, pp. 82–87.

13 https://github.com/IoanaTincu/Studia-Universitatis-Babes-Bolyai-Engineering

14 Goodfellow I., Bengio Y., Courville A., Deep Learning, MIT Press, Cambridge, MA, 2016.

15 Haykin S., Neural Networks and Learning Machines, 3rd ed., Pearson Education, Upper Saddle River, NJ, 2009.

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Published

2026-03-24

How to Cite

Ţincu, I., Gillich, G. R., & Rusu, V. C. (2026). Comparative Evaluation of Frequency-Based Indicators for Crack Detection. Studia Universitatis Babeș-Bolyai Engineering, 70(1), 3–12. https://doi.org/10.24193/subbeng.2025.1

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Articles