Browse > Article
http://dx.doi.org/10.12989/sem.2021.78.3.369

Output only system identification using complex wavelet modified second order blind identification method - A time-frequency domain approach  

Huang, Chaojun (Research & Development Institute, China Merchant Industry)
Nagarajaiah, Satish (Department of Civil & Environmental Engineering, Rice University)
Publication Information
Structural Engineering and Mechanics / v.78, no.3, 2021 , pp. 369-378 More about this Journal
Abstract
This paper reviewed a few output-only system identification algorithms and identified the shortcomings of those popular blind source separation methods. To address the issues such as less sensors than the targeted modal modes (under-determinate problem), repeated natural frequencies as well as systems with complex mode shapes, this paper proposed a complex wavelet modified second order blind identification method (CWMSOBI) by transforming the time domain problem into time-frequency domain. The wavelet coefficients with different dominant frequencies can be used to address the under-determinate problem, while complex mode shapes are addressed by introducing the complex wavelet transformation. Numerical simulations with both high and low signal-to-noise ratios validate that CWMSOBI can overcome the above-mentioned issues while obtaining more accurate identified results than other blind identification methods.
Keywords
system identification; second order blind identification; blind source separation; complex wavelet modified SOBI; wavelet transform; time-frequency domain;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Brincker, R., Zhang, L. and Andersen, P. (2001), "Modal identification of output-only systems using frequency domain decomposition", Smart Mater. Struct., 10(3), 441.   DOI
2 Nagarajaiah, S. and Yang, Y. (2017), "Modeling and harnessing sparse and low-rank data structure: a new paradigm for structural dynamics, identification, damage detection, and health monitoring", Struct. Control Hlth. Monit., 24(1), e1851. https://doi.org/10.1002/stc.1851.   DOI
3 Pappa, R.S. and Ibrahim, S.R. (1985), "A parametric study of the Ibrahim Time domain modal identification algorithm", Report from NASA.
4 Poncelet, F., Kerschen, G., Golinval, J.C. and Verhelst, D. (2007), "Output-only modal analysis using blind source separation techniques", Mech. Syst. Signal Pr., 21(6), 2335-2358. https://doi.org/10.1016/j.ymssp.2006.12.005.   DOI
5 Staszewski, W. (1997), "Identification of damping in MDOF systems using time-scale decomposition", J. Sound Vib., 203(2), 283-305. https://doi.org/10.1006/jsvi.1996.0864.   DOI
6 Tugnait, J. (1995), "Blind equalization and estimation of digital communica-tion FIR channels using cumulant matching", Commun. IEEE Tran., 43(234), 1240-1245. https://doi.org/10.1109/26.380160.   DOI
7 Comon, P. (1994), "Independent component analysis, a new concept?", Signal Pr., 36(3), 287-314. https://doi.org/10.1016/0165-1684(94)90029-9.   DOI
8 Huang, C. (2013), "Structural health monitoring system for deepwater risers with vortex-induced vibration: Nonlinear modeling, blind identification, fatigue/damage estimation and vibration control", Ph.D. Thesis, Rice University.
9 Huang, C. and Nagarajaiah, S (2014), "Output-only structural health monitoring for deepwater risers: Experimental study of wavelet modified SOBI and distributed force index algorithm", Int. J. Struct. Stab. Dyn., 14(5), 1440010. https://doi.org/10.1142/S0219455414400100.   DOI
10 Huang, C. and Nagarajaiah, S. (2014), "Experimental study on bridge structural health monitoring using blind source separation method: arch bridge", Struct. Monit. Mainten., 1(1), 69-87. https://doi.org/10.12989/smm.2014.1.1.069.   DOI
11 Huang, C. and Qin, Q. (2006), "Pre-processing for identification of structural modal parameters in time domain based on ambient vibration data", The Fifteenth National Conference on Structural Engineering. (in Chinese)
12 Hyvarinen, A. and Oja, E. (2000), "Independent component analysis: algorithms and applications", Neur. Network, 13(4-5), 411-430.   DOI
13 Juang, J.N. and Pappa, R.S. (1985), "An eigensystem realization algorithm for modal parameter identification and model reduction", J. Guid. Control Dyn., 8(5) 620-627. https://doi.org/10.2514/3.20031.   DOI
14 Huang, C., Nagarajaiah, S. and Varadarajan, N. (2012), "Fatigue estimation in deep-water risers based on wavelets and second order blind identification", Proceedings of the 31st International Conference on Offhore, Marine and Arctic Engineering (OMAE 2012).
15 Kerschen, G., Poncelet, F. and Golinval, J.C. (2007), "Physical interpreta-tion of independent component analysis in structural dynamics", Mech. Syst. Signal Pr., 21(4), 1561-1575. https://doi.org/10.1016/j.ymssp.2006.07.009.   DOI
16 McNeill, S. and Zimmerman, D. (2008), "A framework for blind modal identification using joint approximate diagonalization, Mech. Syst. Signal Pr., 22(7), 1526-1548. https://doi.org/10.1016/j.ymssp.2008.01.010.   DOI
17 Nagarajaiah, S. and Erazo, K. (2016), "Structural monitoring and identification of civil infrastructure in the United States", Struct. Monit. Mainten., 3(1), 51-69. https://doi.org/10.12989/smm.2016.3.1.051.   DOI
18 Nagarajaiah, S. and Basu, B. (2009), "Output only modal identification and structural damage detection using time frequency & wavelet techniques", Earthq. Eng. Eng., 8, 583-605. https://doi.org/10.1007/s11803-009-9120-6.   DOI
19 Yang, Y. and Nagarajaiah, S. (2014), "Data compression of structural seismic responses via principled independent component analysis", J. Struct. Eng., 140(7), 04014032. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000946.   DOI
20 Yang, Y. and Nagarajaiah, S. (2014), "Blind identification of damage in time-varying system using independent component analysis with wavelet transform", Mech. Syst. Signal Pr., 47(1-2), 3-20. https://doi.org/10.1016/j.ymssp.2012.08.029.   DOI
21 Yang, Y. and Nagarajaiah, S. (2014), "Structural damage identification via blind feature extraction and sparse representation classification", Mech. Syst. Signal Pr., 45(1), 1-23. https://doi.org/10.1016/j.ymssp.2013.09.009.   DOI
22 Yang, Y. and Nagarajaiah, S. (2015), "Output-only modal identification by compressed sensing: Non-uniform low-rate sampling", Mech. Syst. Signal Pr., 56, 15-34. https://doi.org/10.1016/j.ymssp.2014.10.015.   DOI
23 Hazra, B., Roffel, A.J., Narasimhan, S. and Pandey, M.D. (2010), "Modified cross-correlation method for the blind identification of structures", J. Eng. Mech., 136(7), 889-897. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000133.   DOI