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http://dx.doi.org/10.12989/eas.2015.8.4.935

Bayesian structural damage detection of steel towers using measured modal parameters  

Lam, Heung-Fai (Department of Architecture and Civil Engineering, City University of Hong Kong)
Yang, Jiahua (Department of Architecture and Civil Engineering, City University of Hong Kong)
Publication Information
Earthquakes and Structures / v.8, no.4, 2015 , pp. 935-956 More about this Journal
Abstract
Structural Health Monitoring (SHM) of steel towers has become a hot research topic. From the literature, it is impractical and impossible to develop a "general" method that can detect all kinds of damages for all types of structures. A practical method should make use of the characteristics of the type of structures and the kind of damages. This paper reports a feasibility study on the use of measured modal parameters for the detection of damaged braces of tower structures following the Bayesian probabilistic approach. A substructure-based structural model-updating scheme, which groups different parts of the target structure systematically and is specially designed for tower structures, is developed to identify the stiffness distributions of the target structure under the undamaged and possibly damaged conditions. By comparing the identified stiffness distributions, the damage locations and the corresponding damage extents can be detected. By following the Bayesian theory, the probability model of the uncertain parameters is derived. The most probable model of the steel tower can be obtained by maximizing the probability density function (PDF) of the model parameters. Experimental case studies were employed to verify the proposed method. The contributions of this paper are not only on the proposal of the substructure-based Bayesian model updating method but also on the verification of the proposed methodology through measured data from a scale model of transmission tower under laboratory conditions.
Keywords
Bayesian approach; damage detection; steel tower; modal identification; model updating;
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1 Au, S.K. (2011a), "Fast Bayesian FFT method for ambient modal identification with separated modes", J. Eng. Mech., ASCE, 137(3), 214-226.   DOI
2 Au, S.K. (2011b), "Assembling mode shapes by least squares", Mech. Syst. Sig. Proc., 25(1), 163-179.   DOI
3 Au, S.K., Ni, Y.C., Zhang, F.L. and Lam, H.F. (2012), "Full-scale dynamic testing and modal identification of a coupled floor slab system", Eng. Struct., 37, 167-178.   DOI
4 Au, S.K and Zhang, F.L. (2012), "Ambient modal identification of a primary-secondary structure using fast Bayesian FFT approach", Mech. Syst. Signal Pr., 28, 280-296.   DOI
5 Beck, J.L. (1978), "Determining models of structures from earthquake records", Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena.
6 Beck, J.L. and Katafygiotis, L.S. (1998), "Updating models and their uncertainties. I: Bayesian statistical framework", J. Eng. Mech., ASCE, 124(4), 455-461.   DOI
7 Burdekin, F.M. (1993), "Nondestructive testing of welded structural steelwork", Proc. Inst. Civ. Eng. Struct., 99(1), 89-95.   DOI
8 Kim, J.H., Jeon, H.S. and Lee, C.W. (1992), "Application of the modal assurance criteria for detecting and locating structural faults", Proceedings of the 10th International Modal Analysis Conference, SEM Society for Experimental Mechanics Inc.
9 O'Callahan, J., Avitabile, P. and Riemer, R. (1989), "System equivalent reduction expansion process (SEREP)", Proceedings of the 7th international modal analysis conference, Schnectady, Union College, NY, 1, 29-37.
10 Papadimitriou, C. and Papadioti, D.C. (2013), "Component mode synthesis techniques for finite element model updating", Comput. Struct., 126, 15-28.   DOI
11 Popovics, J.S. and Rose, J.L. (1994), "A survey of developments in ultrasonic NDE of concrete", Transactions on Ferroelectrics and Freq. Control, IEEE, 44(1), 140-143.
12 Vanik, M.W., Beck, J.L. and Au, S.K. (2000), "Bayesian probabilistic approach to structural health monitoring", J. Eng. Mech., ASCE, 126(7), 738-745.   DOI
13 Yin, T., Lam, H.F., Chow, H.M. and Zhu, H.P. (2009), "Dynamic reduction-based structural damage detection of transmission tower utilizing ambient vibration data", Eng. Struct., 31(9), 2009-2019.   DOI
14 Yaglom, A.M. (1987), Correlation theory of stationary and related random functions, Springer-Verlag, Berlin, Germany.
15 Yang, J.N., Lei, Y., Lin, S. and Huang, N. (2004), "Hilbert-Huang based approach for structural damage detection", J. Eng. Mech., 130(1), 85-95.   DOI
16 Yuen, K.V., Katafygiotis, L.S. and Beck, J.L. (2002), "Spectral density estimation of stochastic vector processes", Prob. Eng. Mech., 17(3), 265-272.   DOI
17 ChinaFotoPress/Getty Images AsiaPac (2011), Eight Dead in Sichuan Transmission Tower Collapse, http://www.zimbio.com/pictures/2FVBZhPqCwD/Eight+Dead+Sichuan+Transmission+Tower+Collapse/hOm95DMn5qb.
18 Magix (2008), Energy deregulation forces wide scale distributed energy, http://mgx.com/blogs/2008/03/30/energy-deregulation-forces-wide-scale-distributed-energy/.
19 Katafygiotis, L.S. and Beck, J.L. (1998), "Updating models and their uncertainties. II: Model identifiability", J. Eng. Mech., ASCE, 124(4), 463-467.   DOI
20 Lam, H.F., Katafygiotis, L.S. and Mickleborough, N.C. (2004), "Application of a statistical model updating approach on Phase I of the IASC-ASCE structural health monitoring benchmark study", J. Eng. Mech., ASCE, 130(1), 34-48.   DOI
21 Lam, H.F., Ng, C.T. and Leung, A.Y.T. (2008), "Multicrack detection on semirigidly connected beams utilizing dynamic data", J. Eng. Mech., ASCE, 134(1), 90-99.   DOI
22 Lam, H.F. and Ng, C.T. (2008), "The selection of pattern features for structural damage detection using an extended Bayesian ANN algorithm", Eng. Struct., 30(10), 2762-2770.   DOI
23 Lam, H.F. and Yin, T. (2011), "Dynamic reduction-based structural damage detection of transmission towers: Practical issues and experimental verification", Eng. Struct., 33(5), 1459-1478.   DOI
24 Li, X.Y. and Law, S.S. (2010), "Matrix of covariance of covariance of acceleration responses for damage detection from ambient vibration measurements", Mech. Syst. Signal Pr., 24(4), 945-956.   DOI
25 Kassimali, A. (2011), Matrix analysis of structures, Cengage Learning.
26 Zhong, S.C. and Oyadiji, S.O. (2011), "Detection of cracks in simply-supported beams by continuous wavelet transform of reconstructed modal data", Comput. Struct., 89(1-2), 127-148.   DOI
27 Zimmerman, D.C. and Kaouk, M. (1994), "Structural damage detection using a minimum rank update theory", J. Vib. Acoust., 116, 222-231.   DOI