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Detection of structural damage via free vibration responses by extended Kalman filter with Tikhonov regularization scheme
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 Title & Authors
Detection of structural damage via free vibration responses by extended Kalman filter with Tikhonov regularization scheme
Zhang, Chun; Huang, Jie-Zhong; Song, Gu-Quan; Dai, Lin; Li, Huo-Kun;
It is a challenging problem of assessing the location and extent of structural damages with vibration measurements. In this paper, an improved Extended Kalman filter (EKF) with Tikhonov regularization is proposed to identify structural damages. The state vector of EKF consists of the initial values of modal coordinates and damage parameters of structural elements, therefore the recursive formulas of EKF are simplified and modal truncation technique can be used to reduce the dimension of the state vector. Then Tikhonov regularization is introduced into EKF to restrain the effect of the measurement noise for improving the solution of ill-posed inverse problems. Numerical simulations of a seven-story shear-beam structure and a simply-supported beam show that the proposed method has good robustness and can identify the single or multiple damages accurately with the unknown initial structural state.
extended Kalman filter;structural damage identification;Tikhonov regularization;ill-posed inverse problem;
 Cited by
Corigliano, A. and Mariani, S. (2004), "Parameter identification in explicit structural dynamics: performance of the extended Kalman filter", Comput. Method. Appl M., 193(36-38), 3807-3835. crossref(new window)

ELSheikh, A.H., Pain, C.C., Fang, F., Gomes, J.M.A. and Navon, I.M. (2013), "Parameter estimation of subsurface flow models using iterative regularized ensemble Kalman filter", Stoch Environ. Res Risk Assess., 27(4), 877-897. crossref(new window)

Friswell, M. and Mottershead, J.E. (1995), Finite Element Model Updating in Structural Dynamics, Kluwer Academic Publishers. The Netherlands.

Gao, F. and Lu, Y. (2006), "A Kalman-filter based time-domain analysis for structural damage diagnosis with noisy signals", J. Sound. Vib., 297(3-5), 916-930. crossref(new window)

Hansen, P.C. and O'Leary, D.P. (1993), "The use of the L-curve in the regularization of discrete ill-posed problems", SIAM J. Sci Comput., 14(6), 1487-1503. crossref(new window)

Hoshiya, M. and Saito, E. (1984), "Structural identification by extended Kalman filter", J. Eng. Mech. - ASCE., 110(12), 1757-1770. crossref(new window)

Jazwinski, A.H. (1970), Stochastic Process and Filtering Theory, Academic Press, New York.

Lei, Y., Jiang, Y.Q. and Xu, Z.Q. (2012), "Structural damage detection with limited input and output measurement signals", Mech. Syst. Signal Pr., 28, 229-243. crossref(new window)

Liu, X., Escamilla-Ambrosio, P. and Lieven, N. (2009), "Extended Kalman filtering for the detection of damage in linear mechanical structures", J. Sound. Vib., 325(4-5), 1023-1046. crossref(new window)

Loh, C.H., Lin, C.Y. and Huang, C.C. (2000), "Time domain identification of frames under earthquake loadings", J. Eng. Mech. - ASCE, 126(7), 693-703. crossref(new window)

Masri, S.F. and Caughey, T.K. (1979), "A nonparametric identification technique or nonlinear dynamic problems", Int. J. Appl. Mech., 46(2), 433-447. crossref(new window)

Straser, E.G. and Kiremidjian, A.S. (1996), "Monitoring and evaluating of civil structures using measured vibration", Proceedings of the SPIE's Conference on Smart Structures and Smart Materials, 2719, 112-121, San Diego, CA, USA.

Weber, B., Paultre, P. and Proulx, J. (2009), "Consistent regularization of nonlinear model updating for damage identification", Mech. Syst. Signal Pr., 23(6), 1965-1985. crossref(new window)

Xing, S.T., Halling, M.W. and Pan, S.W. (2014), "Application of substructural damage identification using adaptive Kalman filter", J. Civil Struct. Health Monit., 4(1), 27-42. crossref(new window)

Yang, J.N., Pan, S. and Huang, H. (2007), "An adaptive extended Kalman filter for structural damage identification II: unknown inputs", Struct Control. Health, 14(3), 497-521. crossref(new window)

Yang, J.N., Lin, S., Huang, H. and Li, Z. (2006), "An adaptive extended Kalman filter for structural damage identification", Struct Control. Health., 13(4), 849-867. crossref(new window)

Zheng, Y., Wang, M., He, L. and Zhou, X. (2004), "Time-domain identification of dynamic properties of layered soil by using extended Kalman filter and recorded seismic data", Earthq. Eng. Eng. Vib., 3(2), 237-247. crossref(new window)

Zhou, L., Wu, S. and Yang, J.N. (2008), "Experimental Study of an Adaptive Extended Kalman Filter for Structural Damage Identification", J. Infrastruct. Syst., 14, 42-51. crossref(new window)