Browse > Article
http://dx.doi.org/10.12989/sem.2016.59.6.1037

Structural identification based on incomplete measurements with iterative Kalman filter  

Ding, Yong (School of Civil Engineering, Harbin Institute of Technology)
Guo, Lina (School of Civil Engineering, Harbin Institute of Technology)
Publication Information
Structural Engineering and Mechanics / v.59, no.6, 2016 , pp. 1037-1054 More about this Journal
Abstract
Structural parameter evaluation and external force estimation are two important parts of structural health monitoring. But the structural parameter identification with limited input information is still a challenging problem. A new simultaneous identification method in time domain is proposed in this study to identify the structural parameters and evaluate the external force. Each sampling point in the time history of external force is taken as the unknowns in force evaluation. To reduce the number of unknowns for force evaluation the time domain measurements are divided into several windows. In each time window the structural excitation is decomposed by orthogonal polynomials. The time-variant excitation can be represented approximately by the linear combination of these orthogonal bases. Structural parameters and the coefficients of decomposition are added to the state variable to be identified. The extended Kalman filter (EKF) is augmented and selected as the mathematical tool for the implementation of state variable evaluation. The proposed method is validated numerically with simulation studies of a time-invariant linear structure, a hysteretic nonlinear structure and a time-variant linear shear frame, respectively. Results from the simulation studies indicate that the proposed method is capable of identifying the dynamic load and structural parameters fairly accurately. This method could also identify the time-variant and nonlinear structural parameter even with contaminated incomplete measurement.
Keywords
simultaneous identification; time-variant structure; nonlinear structure; extended Kalman filter; orthogonal decomposition;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Asnachindaa, P., Pinkaewa, T. and Lamanb, J.A. (2008), "Multiple vehicle axle load identification from continuous bridge bending moment response", Eng. Struct., 30(10), 2800-2817.   DOI
2 Chatzi, E.N. and Smyth, A.W. (2009), "The unscented Kalman filter and particle filter methods for nonlinear structural system identification with non-collocated heterogeneous sensing", Struct. Control Hlth. Monit., 16, 99-123.   DOI
3 Chen, J. and Li, J. (2004), "Simultaneous identification of structural parameters and input time history from output-only measurements", Comput. Mech., 33(5), 365-374.   DOI
4 Ching, J., Beck, J.L., Porter, K.A. and Shaikhutdinov, R. (2006), "Bayesian state estimation method for nonlinear systems and its application to recorded seismic response", J. Eng. Mech., 132(4), 396-410.   DOI
5 Doebling, S.W., Farrar, C.R. and Prime, M.B. (1998), "A summary review of vibration-based damage identification methods", Shock Vib. Diag., 30(2), 91-105.   DOI
6 Feng, D.M., Sun, H. and Feng, M.Q. (2015), "Simultaneous identification of bridge structural parameters and vehicle loads", Comput. Struct., 157, 76-88.   DOI
7 Haykin, S., Sayed, A.H., Zeidler, J.R., Yee, P. and Wei, P.C. (1997), "Adaptive tracking of linear timevariant systems by extended RLS algorithms", IEEE Tran. Signal Pr., 45(5), 1118-1128.   DOI
8 Hoshiya, M. and Saito, E. (1984), "Structural Identification by Extended Kalman Filter", J. Eng. Mech., 110, 1757-1770.   DOI
9 Hou, S. and Ou, J.P. (2013), "An online substructure identification method for local structural health monitoring", Smart Mater. Struct., 22(9), 095017.   DOI
10 Housner, G.W., Bergman, L.A. et al. (1997), "Structural control: Past, present, and future", J. Eng. Mech., ASCE, 123(9), 897-971.   DOI
11 Kerschen, G., Worden, K., Vakakis, A.F. and Golinval, J.C. (2006), "Past, present and future of nonlinear system identification in structural dynamics", Mech. Syst. Signal Pr., 20(3), 505-592.   DOI
12 Kerschen, G., Peeters, M., Golinval, J.C. and Vakakis, A.F. (2009), "Nonlinear normal modes, Part I: A useful framework for the structural dynamicist", Mech. Syst. Signal Pr., 23(1), 170-194.   DOI
13 Lu, Z.R. and Law, S.S. (2007), "Identification of system parameters and input force from output only", Mech. Syst. Signal Pr., 21(5), 2099-2111.   DOI
14 Law, S.S. and Ding, Y. (2011), "Substructure methods for structural condition assessment", J. Sound Vib., 330(15), 3606-3619.   DOI
15 Lei, Y., Liu, C. and Liu, L.J. (2014), "Identification of multistory shear buildings under unknown earthquake excitation using partial output measurements: numerical and experimental studies", Struct. Control Hlth. Monit., 21(5), 774-783.
16 Li, J., Hao, H., Xia, Y. et al. (2015), "Damage assessment of shear connectors with vibration measurements and power spectral density transmissibility", Struct. Eng. Mech., 54(2), 257-289.   DOI
17 Peeters, M., Viguie, R., Serandoura, G., Kerschen, G. and Golinval, J.C. (2009), "Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques", Mech. Syst. Signal Pr., 23(1), 195-216.   DOI
18 Sun, H. and Betti, R. (2014), "Simultaneous identification of structural parameters and dynamic input with incomplete output-only measurements", Struct. Control Hlth. Monit., 21(6), 868-889.   DOI
19 Sun, H., Feng, D.M., Liu, Y. and Feng, M.Q. (2015), "Statistical regularization for identification of structural parameters and external loadings using state space models", Comput. Aid. Civil Infrastr. Eng., 30(11), 843-858.   DOI
20 Tang, H.S., Xue, S.T., Chen, R. and Sato, T. (2006), "Online weighted LS-SVM for hysteretic structural system identification", Eng. Struct., 28(12), 1728-1735.   DOI
21 Wen, Y.K. (1980). "Equivalent linearization for hysteretic systems under random excitations", J. Appl. Mech., 47(1), 150-154.   DOI
22 Zou, T., Tong, L. and Steve, G.P. (2000), "Vibration based model-dependent damage (delamination) identification and health monitoring for composite structures-a review", J. Sound Vib., 230(2), 357-378.   DOI
23 Yang, J.N. and Lin, S. (2004), "On-line identification of non-linear hysteretic structures using an adaptive tracking technique", Int. J. Nonlin. Mech., 39(9), 1481-1491.   DOI
24 Yang, J.N., Lin, S., Huang H. and Zhou, L. (2006), "An adaptive extended Kalman filter for structural damage identification", Struct. Control Hlth. Monit., 13, 849-867.   DOI
25 Yang, J.N., Pan, S. and Lin, S. (2007), "Least square estimation with unknown excitations for damage identification of structures", J. Eng. Mech., 133(1), 12-21.   DOI
26 Zhang, X.H., Zhu, S., Xu, Y.L. and Hong, X.J. (2011), "Integrated optimal placement of displacement transducers and strain gauges for better estimation of structural response", Int. J. Struct. Stab. Dyn., 11(3), 1-22.
27 Zhang, F. and Zhu, D.M. (1996), "A new theoretical study of dynamic load identification based on generalized polynomial expansion", J. Nanjing Univ. Aeronaut. Astronaut., 28, 755-760.
28 Zhu, X.Q. and Law, S.S. (2001), "Orthogonal function in moving loads identification on a multi-span bridge", J. Sound Vib., 245(2), 329-345.   DOI