FocusedDFT: A DFT implementation for vibration-based structural damage detection

Petar PRVULOVIĆ

doi:10.24193/subbeng.2024.1.9

Authors

Petar PRVULOVIĆ School of Computing, Union University, Kneza Mihaila 6/6, Belgrade, Serbia, pprvulovic@raf.rs https://orcid.org/0009-0007-9338-0362

DOI:

https://doi.org/10.24193/subbeng.2024.1.9

Keywords:

focusedDFT, DFT, frequency bins, vibration-based damage detection

Abstract

This paper introduces focusedDFT, a novel Discrete Fourier Transform (DFT) implementation optimized for short signals with low frequency components, particularly where a single frequency component is of interest. The results suggest focusedDFT as a viable and efficient solution for vibration-based damage detection methods, offering improved execution times compared to traditional DFT approaches.

References

X. Sun, S. Ilanko, Y. Mochida, R.C Tighe., A Review on Vibration-Based Damage Detection Methods for Civil Structures, Vibration, 6(4), Art. no. 4, Dec. 2023, doi: 10.3390/vibration6040051

D. Nedelcu, G.-R. Gillich, A structural health monitoring Python code to detect small changes in frequencies, Mech. Syst. Signal Process., vol. 147, p. 107087, Jan. 2021, doi: 10.1016/j.ymssp.2020.107087.

G.-R. Gillich, N.N.N. Maia, I.C. Mituletu, Problem of Detecting Damage Through Natural Frequency Changes, in Computational and Experimental Methods in Structures, vol. 10, WORLD SCIENTIFIC (EUROPE), 2018, pp. 105–139. doi: 10.1142/9781786344977_0004.

C. Chioncel, N. Gillich, O. Tirian, J.L Ntakpe, Limits of the Discrete Fourier Transform in Exact Identifying of the Vibrations Frequency, Romanian J. Acoust. Vib., 12(1), pp. 16–19, Jan. 2015.

L. Jin, L. Liang, A power-of-two FFT algorithm and structure for DRM receiver, IEEE Trans. Consumer Electron., 56(4), pp. 2061–2066, Nov. 2010, doi: 10.1109/TCE.2010.5681072.