Browse > Article
http://dx.doi.org/10.12989/sss.2017.20.2.207

Probabilistic structural damage detection approaches based on structural dynamic response moments  

Lei, Ying (Department of Civil Engineering, Xiamen University)
Yang, Ning (Department of Instrumental and Electrical Engineering, Xiamen University)
Xia, Dandan (School of Civil & Architecture Engineering, Xiamen University of Technology)
Publication Information
Smart Structures and Systems / v.20, no.2, 2017 , pp. 207-217 More about this Journal
Abstract
Because of the inevitable uncertainties such as structural parameters, external excitations and measurement noises, the effects of uncertainties should be taken into consideration in structural damage detection. In this paper, two probabilistic structural damage detection approaches are proposed to account for the underlying uncertainties in structural parameters and external excitation. The first approach adopts the statistical moment-based structural damage detection (SMBDD) algorithm together with the sensitivity analysis of the damage vector to the uncertain parameters. The approach takes the advantage of the strength SMBDD, so it is robust to measurement noise. However, it requests the number of measured responses is not less than that of unknown structural parameters. To reduce the number of measurements requested by the SMBDD algorithm, another probabilistic structural damage detection approach is proposed. It is based on the integration of structural damage detection using temporal moments in each time segment of measured response time history with the sensitivity analysis of the damage vector to the uncertain parameters. In both approaches, probability distribution of damage vector is estimated from those of uncertain parameters based on stochastic finite element model updating and probabilistic propagation. By comparing the two probability distribution characteristics for the undamaged and damaged models, probability of damage existence and damage extent at structural element level can be detected. Some numerical examples are used to demonstrate the performances of the two proposed approaches, respectively.
Keywords
structural damage detection; uncertainty; probabilistic approach; statistical moment;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Beck, J.L. and Au, S.K. (2002), "Bayesian updating of structural models and reliability using Markov Chain Monte Carlo simulation", J. Eng. Mech. - ASCE, 128, 380-391.   DOI
2 Hao, S. and Betti, R. (2015), "A hybrid optimization algorithm with Bayesian inference for probabilistic model updating", Comput. -Aided Civil Infrastruct. E., 30(8), 602-619.   DOI
3 Housner, W., Bergman, L.A., Caughey, T.K., Chassiakos, A.G,, Claus, R.O., Masri, S.F., Skelton, R.E., Soong, T.T., Spencer, Jr, B.F. and Yao, J.T.P. (1997), "Structural control: past, present and future", J. Eng. Mech. - ASCE, 123, 897-971.   DOI
4 Law, S.S. and Li, J. (2010), "Updating the reliability of a concrete bridge structure based on condition assessment with uncertainties", Eng. Struct., 32, 286-296   DOI
5 Li, P.J., Xu, D.W. and Zhang, J. (2016), "Probability-based structural health monitoring through Markov Chain Monte Carlo Sampling", Int. J. Struct. Stab. Dynam., 16(7), DOI: 10.1142/S021945541550039
6 Li, X.Y. and Law, S.S. (2008), "Damage identification of structures including system uncertainties and measurement noise", AIAA J., 46(46), 263-276.   DOI
7 Li, J. and Chen, J.B. (2004), "Probability density evolution method for dynamic response analysis of structures with uncertain parameters", Comput. Mech., 34, 400-409.   DOI
8 Lu, Z.R. and Law, S.S. (2007), "Features of dynamic response sensitivity and its application in damage detection", J. Sound Vib., 303(1-2), 305-329   DOI
9 Moaveni, B., Conte, J.P. and Hemez, F.M. (2005), "Uncertainty and sensitivity analysis of damage identification results obtained using finite element model updating", Comput. - Aided Civil Infrastruct. E., 24(5), 320-334.   DOI
10 Mustafa, S., Debnath, N. and Dutta, A. (2015), "Bayesian probabilistic approach for model updating and damage detection for a large truss bridge", Int. J. Steel Struct., 15(2), 473-485.   DOI
11 Xu, Y.L., Zhang, J., Li, J. and Wang, X.M. (2011), "Stochastic damage detection method for building structures with parametric uncertainties", J. Sound Vib., 330, 4725-4737   DOI
12 Wang, X.J., Yang C., Wang L. and Qiu, Z.P. (2014), "Probabilistic damage identification of structures with uncertainty based on dynamic responses", Acta Mech. Solida Sinica, 27(2), 172-180.   DOI
13 Xia, Y and Hao, H (2003), "Statistical damage identification of structures with frequency changes", J. Sound Vib., 263, 853-870.   DOI
14 Xu, Y.L., Zhang, J. and Li, J.C. (2009), "Experimental investigation on statistical moment-based structural damage detection method", J. Struct. Health Monit., 8(6), 555-571.   DOI
15 Ye, X.W., Su, Y.H. Xi, P.S., Chen, B. and Han, J.P. (2016), "Statistical analysis and probabilistic modeling of WIM monitoring data of an instrumented arch bridge", Smart Struct. Syst., 17(6), 1087-1105.   DOI
16 Zhang, J., Xu, Y.L., Xia, Y. and Li, J.C. (2013), "Statistical moment-based structural damage detection method in time domain", Earthq. Eng. Eng. Vib., 12(1), 12-23.
17 Yi, T.H., LI, H.N. and Zhao, X.Y. (2012), "Noise smoothing for structural vibration test signals using an improved wavelet thresholding technique", Sensors, 12(8), 11205-11220   DOI
18 Yuen, K.V. (2010), "Recent developments of Bayesian model class selection and applications in civil engineering", Struct. Saf., 32(5), 338-348   DOI
19 Zhang, J., Xu, Y.L., Xia, Y. and Li, J.C. (2008), "A new statistical moment-based structural damage detection method", Struct. Eng. Mech., 30(4), 445-466.   DOI
20 Zhang, J., Wan, C.F. and Sato, T. (2013), "Advanced Markov Chain Monte Carlo approach for finite element calibration under uncertainty", Comput. - Aided Civil Infrastruct. E., 28, 522-530   DOI
21 Beck, J.L. and Yuen, K.V. (2004), "Model selection using response measurements: Bayesian probabilistic approach", J. Eng. Mech. - ASCE, 130(2), 192-203.   DOI
22 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