Abstract
For application in operational modal analysis considering simultaneously the temporal and spatial response data of multi-channel measurements, the multivariate-autoregressive (MV-AR) model was used. The parameters of MV-AR model are estimated by using the least squares method via the implementation of the QR factorization as an essential numerical tool and are used to extract the structural damage sensitive features. These parameters are used to develop the Vectors of autoregressive model and Mahalanobis distance, and then to identify the damage features and damage locations. Verification of the proposed method using a series of white noise response data of a steel structure is demonstrated. This method is thus very effective for damage detection in case of ambient vibrations dealing with output-only modal analysis. In addition, comparisons and discussions on the proposed method with other methods, such as stochastic subspace identification and wavelet-based energy index, are also presented.
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References
Biydreaux-Bartels, G.F., Parks, T.W.: Time-varying filtering and signal estimation using Wigner distribution synthesis techniques. IEEE Trans. Acoust. Speech Signal Process. ASSP-34(3), 442–451 (1996)
Bjorck, A.: Numerical Methods for Least Squares Problems. Society for Industrial and Applied Mathematics, Philadelphia (1996)
Ceravolo, R.: Use of instantaneous estimators for the evaluation of structural damping. J. Sound Vib. 274(1–2), 385–401 (2004)
Chatfield, C.: The Analysis of Time Series. Chapman & Hall, London (1989)
Doebling, S.W., Farrar, C.R., Prime, M.B., Shevitz, D.W.: Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Research Report, LA-13070-MS, ESA-EA, Los Alamos National Laboratory, Los Alamos, NM (1996)
Hassanpour, H.: Improved SVD-based technique for enhancing time–frequency representation of signals. In: IEEE International Symposium on Circuits and Systems (ISCAS), pp. 1819–1822, New Orleans, LA (2007)
Kim, H., Melhelm, H.: Damage detection of structures by wavelet analysis. Eng. Struct. 26, 347–362 (2004)
Loh, C.H., Mao, C.H., Huang, J.R., Pan, T.C.: System identification of degrading hysteresis of reinforced concrete frames. Earthq. Eng. Struct. Dyn. 40, 623–640 (2011)
Mosavi, A.A., Dickey, D., Seracino, R., Rizkalla, S.: Identifying damage locations under ambient vibrations utilizing vector autoregressive models and Mahalanobis distances. Mech. Syst. Signal Process. 26(1), 254–267 (2012)
Nair, K.K., et al.: Time series-based damage detection and localization algorithm with application to the ASCE benchmark structure. J. Sound Vib. 291(2), 349–368 (2006)
Naira, K.K., Kiremidjian, A.S.: Damage diagnosis algorithms for wireless structural health monitoring. Stanford University, Technical report (2007)
Salawu, O.S.: Detection of structural damage through changes in frequency: a review. Eng. Struct. 19, 718–723 (1997)
Sohn, H., et al.: Reference-free damage classification based on cluster analysis. Comput. Aided Civ. Infrastruct. Eng. 23(5), 324–338 (2008)
Vu, V.H., Thomas, M., Lakis, A.A., Marcouiller, L.: Operational modal analysis of non-stationary mechanics systems by short-time autoregressive (STAR) modeling. In: Proceedings of the 3rd International Conference on Integrity, Reliability and Failure (2009)
Vu, V.H., Thomas, M., Lakis, A.A., Marcouiller, L.: Operational modal analysis by updating autoregressive model. Mech. Syst. Signal Process. 25(3), 1028–1044 (2011)
Worden, K., Manson, G., Fieller, N.R.J.: Damage detection using outlier analysis. J. Sound Vib. 229, 647–667 (2000)
Acknowledgements
The authors wish to express their thanks to National Center for Research on Earthquake Engineering, NARL, for developing the two test specimens and conduct the shaking table tests. The support from Ministry of Science & Technology (Taiwan) under grant No. MOST 103-2625-M-002-006 is acknowledged.
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© 2016 The Society for Experimental Mechanics, Inc.
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Loh, CH., Chan, CK. (2016). Damage Assessment of Steel Structures Using Multi-Autoregressive Model. In: Pakzad, S., Juan, C. (eds) Dynamics of Civil Structures, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29751-4_1
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DOI: https://doi.org/10.1007/978-3-319-29751-4_1
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