Bridge Monitoring with Harmonic Excitation and Principal Component Analysis

Viet Ha Nguyen, Jean-Claude Golinval, Stefan Maas

Abstract


Principal Component Analysis is used for damage detection in structures excited by harmonic forces. Time responses are directly analysed by Singular Value Decomposition to deduct two dominant Proper Orthogonal Values corresponding to two Proper Orthogonal Modes. Damage index is defined by the concept of subspace angle that a subspace is built from the two Proper Orthogonal Modes. A subspace angle reflects the coherence between two different structural health states. An example is given through the application on a part of a real prestressed concrete bridge in Luxembourg where different damage states were created by cutting a number of prestressed tendons in four scenarios with increasing levels. Results are better by using excitation frequency close to an eigenfrequency of the structure. The technique is convenient for practical application in operational bridge structures.

Keywords:
bridge structure; damage detection; forced harmonic excitation; principal component analysis; subspace angle; time response

Full Text:

 PDF

References


Golinval, J. C. (2017). Damage detection in structures based on principal component analysis of forced harmonic responses. Procedia engineering, 199, 1912-1918. https://doi.org/10.1016/j.proeng.2017.09.449

Golub, G. H., & Van Loan, C. F. (1996). Matrix computations. 1996. Johns Hopkins University, Press, Baltimore, MD, USA, 374-426.

Kerschen, G., & Golinval, J. C. (2002). Physical interpretation of the proper orthogonal modes using the singular value decomposition. Journal of Sound and vibration, 249(5), 849-865. https://doi.org/10.1006/jsvi.2001.3930

Maas, S., Zürbes, A., Waldmann, D., Waltering, M., Bungard, V., & De Roeck, G. (2012). Damage assessment of concrete structures through dynamic testing methods. Part 2: Bridge tests. Engineering Structures, 34, 483–494. https://doi.org/10.1016/j.engstruct.2011.09.018

Hà, N. V., & Golinval, J. C. (2010). Localization and quantification of damage in beam-like structures using sensitivities of principal component analysis results. Mechanical Systems and Signal Processing, 24(6), 1831-1843. https://doi.org/10.1016/j.ymssp.2010.01.012

Nguyen, V. H., Mahowald, J., Golinval, J. C., & Maas, S. (2014). Damage detection in civil engineering structure considering temperature effect. In Dynamics of Civil Structures, Volume 4 (pp. 187-196). Springer, Cham. https://doi.org/10.1007/978-3-319-04546-7_22.

Nguyen, V. H., Schommer, S., Maas, S., & Zürbes, A. (2016). Static load testing with temperature compensation for structural health monitoring of bridges. Engineering Structures, 127, 700-718. https://doi.org/10.1016/j.engstruct.2016.09.018

Peeters, B., & De Roeck, G. (2001). Stochastic system identification for operational modal analysis: a review. Journal of Dynamic Systems, Measurement, and Control, 123(4), 659-667. https://doi.org/10.1115/1.1410370

Schommer, S., Mahowald, J., Nguyen, V. H., Waldmann, D., Maas, S., Zürbes, A., & De Roeck, G. (2017). Health Monitoring based on Dynamic Flexibility matrix: Theoretical Models versus in-situ Tests. Engineering, 9(02), 37-67. https://doi.org/10.4236/eng.2017.92004

Schommer, S., Nguyen, V. H., Maas, S., & Zürbes, A. (2017). Model updating for structural health monitoring using static and dynamic measurements. Procedia engineering, 199, 2146-2153. https://doi.org/10.1016/j.proeng.2017.09.156

Yan, A. M., Kerschen, G., De Boe, P., & Golinval, J. C. (2005). Structural damage diagnosis under varying environmental conditions—part I: a linear analysis. Mechanical Systems and Signal Processing, 19(4), 847-864. https://doi.org/10.1016/j.ymssp.2004.12.002

Yan, A. M., & Golinval, J. C. (2006). Null subspace-based damage detection of structures using vibration measurements. Mechanical Systems and Signal Processing, 20(3), 611-626. https://doi.org/10.1016/j.ymssp.2005.04.010




DOI: 10.7250/bjrbe.2018-13.423

Cited-By

1. Structural deformation reconstruction by the Penrose–Moore pseudo-inverse and singular value decomposition–estimated equivalent force
Yixian Li, Limin Sun
Structural Health Monitoring  first page: 147592172095233  year: 2020  
doi: 10.1177/1475921720952333

Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 Viet Ha Nguyen, Jean-Claude Golinval, Stefan Maas

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.