DOI:

https://doi.org/10.14483/23448393.20447

Published:

2023-10-17

Issue:

Vol. 28 No. 3 (2023): September-December

Section:

Civil and Environmental Engineering

Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection

Análisis comparativo entre el análisis singular espectral y la descomposición modal empírica para detección de daño estructural

Authors

Keywords:

Hilbert-Huang Transform, Signal Analysis, Structural Health Monitoring, Time-Frequency Analysis (en).

Keywords:

Transformada Hilbert-Huang, Análisis de señales, Monitoreo de salud estructural, Análisis tiempo-frecuencia (es).

Abstract (en)

Context: In recent years, thanks to technological advances in instrumentation and digital signal processing, noninvasive methods to detect structural damage have become increasingly important. Vibration-based structural health monitoring (SHM) techniques allow detecting the presence and location of damage from permanent changes in the fundamental frequencies of signals. A successfully employed method for damage detection is empirical mode decomposition (EMD). Another method, less used in this field of study, is singular spectral analysis (SSA). This paper describes both methods and presents a simulation study aimed at comparing them and identifying which one is more effective in detecting structural damage.

Method: The methods of a reference study known as benchmark SHM were applied to facilitate the comparison. To evaluate the effectiveness of both methods, Monte Carlo simulation was employed. To control the random noise and other factors inherent to the simulation, the procedure was repeated 1.000 times for each type of damage.

Results: In the case of severe damage, both methods showed a good performance. However, when the damage was slight, the changes in the fundamental frequency were not apparent. However, a significant change in the amplitude level was observed. In this case, SSA obtained the best results.

Conclusions: The EMD and SSA methods, together with high-pass filtering, detected severe damage when the acceleration records had low or no noise. When the acceleration records were contaminated with noise, the likelihood of EMD detecting the damage decreased dramatically. One of the advantages of SSA over EMD is that, for moderate or mild damage patterns, the former does not require filters or the use of the Hilbert-Huang transform to detect damage. In general, it was found that SSA was more effective in detecting damage.

Abstract (es)

Contexto: En los últimos años, gracias a los avances tecnológicos en instrumentación y procesamiento digital de señales, los métodos no invasivos para la detección de daños estructurales se han vuelto cada vez más importantes. Las técnicas de monitoreo de salud estructural (SHM) basadas en vibraciones permiten identificar la presencia y ubicación del daño a partir de cambios permanentes en las frecuencias fundamentales de las señales. Un método empleado con éxito para la detección de daño es la descomposición modal empírica (EMD). Otro método menos utilizado en este campo de estudio es el análisis singular espectral (SSA). En este artículo se describen ambos métodos y se realiza un estudio de simulación para compararlos e identificar cuál es más efectivo en la detección del daño estructural. Métodos: Se aplicaron los métodos de un estudio de referencia conocido como benchmark SHM problem para facilitar la comparación. Para evaluar la efectividad de ambos métodos, se empleó la simulación Monte Carlo. Para controlar el ruido aleatorio y otros factores inherentes a la simulación, se repitió el procedimiento 1.000 veces para cada tipo de daño.
Resultados: En el caso de daño severo, ambos métodos mostraron un buen desempeño. Sin embargo, cuando el daño fue leve, los cambios en la frecuencia fundamental no fueron aparentes. Sin embargo, se observó un cambio significativo en el nivel de amplitud. En este caso, el método SSA obtuvo los mejores resultados.
Conclusiones: Los métodos EMD y SSA, junto con el filtro de paso alto, detectaron daños severos cuando los registros de aceleración tenían poco o ningún ruido. Cuando los registros de aceleración estaban contaminados con ruido, la probabilidad de que el EMD detectara el daño disminuyó drásticamente. Una de las ventajas del SSA sobre el EMD es que, para patrones de daño moderado o leve, el primero no requiere filtros ni el uso de la transformada Hilbert-Huang para detectar el daño. En general, se encontró que el SSA es más efectivo para la detección de daño.

Author Biographies

Elisa C. González, University of Quindío

PhD student in Statistics at USP, Brasil. Master in Biomathematics at Universidad del Quindío, and a degree in Civil Engineering at Universidad del Quindío (Colombia). BS degree in Mathematics at Universidad de Nariño.  

Gladys E. Salcedo, University of Quindío

BS degree in Mathematics at Universidad del Quindío, a Master in Statistics at the University of São Paulo (Brazil), and a PhD in Statistics at the University of São Paulo (Brazil).

Leonardo Cano, University of Quindío

BS degree in Civil Engineering at Universidad del Quindío, a MSc in Civil Engineering (Earthquake Engineering) at Universidad de los Andes, and a PhD in Civil Engineering (Structural Engineering) at the University of Puerto Rico, Mayaguez Campus.

References

C.-H. Loh, C.-H. Chen, and T.-Y. Hsu, .Application of advanced statistical methods for extracting long-term trends in static monitoring data from an arch dam,"Struct. Health Mon., vol. 10, pp. 587-601, Nov. 2011. https://doi.org/10.1177/1475921710395807

L. Chin-Hsiung, C. Chia-Hui, and M. Chien-Hong, "Detecting seismic response signals using singular spectrum analysis,"Sensors Smart Struct. Tech. Civil Mech. Aerospace Sys., vol. 7647, pp. 535-546, 2010. https://doi.org/10.1117/12.846427

B. Medina and L. Duque, "Fuzzy entropy relevance analysis in DWT and EMD for BCI motor imagery applications, Ing, "vol. 20, no. 1, pp. 9-19, 2015. https://doi.org/10.14483/udistrital.jour.reving.2015.1.a01

E. Johnson, H. Lam, L. Katafygiotis, and J. Beck, "Phase I IASC-ASCE structural health monitoring benchmark problem using simulated data,"J. Eng. Mech., vol. 130, no. 1, pp. 3-15, 2004. https://doi.org/10.1061/(asce)0733-9399(2004)130:1(3)

G. Gilbert-Rainer and P. Zeno-Iosif, "Modal identification and damage detection in beam-like structures using the power spectrum and time–frequency analysis,"Signal Proc., vol. 96, part A, pp. 29-44, 2014. https://doi.org/10.1016/j.sigpro.2013.04.027

D. Pines and L. Salvino, "Structural health monitoring using empirical mode decomposition and the Hilbert phase,"J. Sound Vibr., vol. 294, no. 1, pp. 97-124, 2006. https://doi.org/10.1016/j. jsv.2005.10.024

N. Cheraghi and F. Taheri, .A damage index for structural health monitoring based on the empirical mode decomposition,"J. Mech. Mater. Struct., vol. 2, pp. 43-61, March 2007. https://doi.org/10. 2140/jomms.2007.2.43

L. Cano, .On time-frequency analysis for structural damage detection,"PhD thesis, Univ. Puerto Rico, Puerto Rico, 2008. [Online]. Available: https://www.researchgate.net/publication/257138876_On_TimeFrequency_Analysis_for_Structural_Damage_Detection

D. Swagato and S. Purnachandra, "Structural health monitoring techniques implemented on IASC-ASCE benchmark problem: A review,"J. Civil Struct, Health Monitor., vol. 8, pp. 689-718, 2018. https://doi.org/10.1007/s13349-018-0292-5

B. Basuraj , H. Budhaditya, and P. Vikram, Real time structural damage detection using recursive singular spectrum analysis,ïn 13th Int. Conf. App. Stat. Prob. Civil Eng., 2019, pp. 1-8. https://s-space.snu.ac.kr/bitstream/10371/153487/1/358.pdf

S. Sony and A. Sadhu, "Multivariate empirical mode decomposition-based structural damage localization using limited sensors,"J. Vibr. Control, vol. 28, no. 15-16, pp. 1863-2167, 2021. https://doi.org/10.1177/10775463211006965

D. Yansong, S. Zongzhen, and G. Kongzheng, "Structural damage identification under variable environmental/operational conditions based on singular spectrum analysis and statistical control chart,"Struct. Control Health Monitor., vol. 28, no. 6, pp. 1-19, March 2021. https://doi.org/10.1002/stc.2721

J. I. Campos Hernández, Ïnnovador método para detectar daño estructural, funciones de la bifurcación frecuencial modal (modal frequency splitting functions),"Master thesis, Inst. Polit. Nac., Mexico, 2018. [Online]. Available: http://tesis.ipn.mx/handle/123456789/27096

R. Zhang, M. Asce, S. Ma, E. Safak, and S. Hartzell, "Hilbert-Huang transform analysis of dynamic and earthquake motion recordings,"J. Eng. Mech. ASCE, vol. 129, no. 8, pp. 861-875, 2003. https://doi.org/10.1061/(asce)0733-9399(2003)129:8(861)

L. Plazas, M. A. Avila, and A. Torres, "Spectral estimation of UV-Vis absorbance time series for water quality monitoring,"Ing, vol. 22, no. 2, pp. 211-225, 2017. https://doi.org/10. 14483/udistrital.jour.reving.2017.1.a01

K. Liu, S. Law, Y. Xia, and X. Zhu, "Singular spectrum analysis for enhancing the sensitivity in structural damage detection,"J. Sound Vibr., vol. 333, no. 2, pp. 392-417, 2014. https://doi.org/10.1016/j.jsv.2013.09.027

M. A. de Oliveira, J. V. Filho, V. Lopes, and D. J. Inman, .A new approach for structural damage detection exploring the singular spectrum analysis,"J. Intel. Mater. Syst. Struct., vol. 28, no. 9, pp. 1160-1174, 2017. https://doi.org/10.1177/1045389x16667549

J. Yang, Y. Lei, S. Lin, and N. Huang, "Hilbert-Huang based approach for structural damage detection,"J. Eng. Mech., vol. 130, no. 1, pp. 85-95, 2004. https://doi.org/10.1061/(asce)0733-9399(2004)130:1(85)

How to Cite

APA

González, E. C., Salcedo, G. E., and Cano, L. (2023). Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection. Ingeniería, 28(3), e20447. https://doi.org/10.14483/23448393.20447

ACM

[1]
González, E.C. et al. 2023. Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection. Ingeniería. 28, 3 (Oct. 2023), e20447. DOI:https://doi.org/10.14483/23448393.20447.

ACS

(1)
González, E. C.; Salcedo, G. E.; Cano, L. Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection. Ing. 2023, 28, e20447.

ABNT

GONZÁLEZ, Elisa C.; SALCEDO, Gladys E.; CANO, Leonardo. Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection. Ingeniería, [S. l.], v. 28, n. 3, p. e20447, 2023. DOI: 10.14483/23448393.20447. Disponível em: https://revistas.udistrital.edu.co/index.php/reving/article/view/20447. Acesso em: 28 nov. 2023.

Chicago

González, Elisa C., Gladys E. Salcedo, and Leonardo Cano. 2023. “Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection”. Ingeniería 28 (3):e20447. https://doi.org/10.14483/23448393.20447.

Harvard

González, E. C., Salcedo, G. E. and Cano, L. (2023) “Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection”, Ingeniería, 28(3), p. e20447. doi: 10.14483/23448393.20447.

IEEE

[1]
E. C. González, G. E. Salcedo, and L. Cano, “Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection”, Ing., vol. 28, no. 3, p. e20447, Oct. 2023.

MLA

González, Elisa C., et al. “Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection”. Ingeniería, vol. 28, no. 3, Oct. 2023, p. e20447, doi:10.14483/23448393.20447.

Turabian

González, Elisa C., Gladys E. Salcedo, and Leonardo Cano. “Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection”. Ingeniería 28, no. 3 (October 17, 2023): e20447. Accessed November 28, 2023. https://revistas.udistrital.edu.co/index.php/reving/article/view/20447.

Vancouver

1.
González EC, Salcedo GE, Cano L. Comparative Analysis between Singular Spectral Analysis and Empirical Mode Decomposition for Structural Damage Detection. Ing. [Internet]. 2023 Oct. 17 [cited 2023 Nov. 28];28(3):e20447. Available from: https://revistas.udistrital.edu.co/index.php/reving/article/view/20447

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