Smart Structures and Systems

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Blind modal identification of output-only non-proportionally-damped structures by time-frequency complex independent component analysis

  • Nagarajaiah, Satish (Department of Civil and Environmental Engineering and Department of Mechanical Engineering, Rice Univ.) ;
  • Yang, Yongchao (Department of Civil and Environmental Engineering, Rice Univ.)
  • Received : 2014.01.25
  • Accepted : 2014.05.23
  • Published : 2015.01.25
⟨ Previous Next ⟩

Abstract

Recently, a new output-only modal identification method based on time-frequency independent component analysis (ICA) has been developed by the authors and shown to be useful for even highly-damped structures. In many cases, it is of interest to identify the complex modes of structures with non-proportional damping. This study extends the time-frequency ICA based method to a complex ICA formulation for output-only modal identification of non-proportionally-damped structures. The connection is established between complex ICA model and the complex-valued modal expansion with sparse time-frequency representation, thereby blindly separating the measured structural responses into the complex mode matrix and complex-valued modal responses. Numerical simulation on a non-proportionally-damped system, laboratory experiment on a highly-damped three-story frame, and a real-world highly-damped base-isolated structure identification example demonstrate the capability of the time-frequency complex ICA method for identification of structures with complex modes in a straightforward and efficient manner.

Keywords

References

  1. Abazarsa, F., Ghahari, S.F., Nateghi, F. and Taciroglu, E. (2013), "Response-only modal identification of structures using limited sensors", Struct. Control Health Monit., 20(6), 987-1006. https://doi.org/10.1002/stc.1513
  2. Antoni, J. and Chuahan S.A (2013), "Study and extension of second-order blind source separation to operational modal analysis", J. Sound Vib., 332(4), 1079-1106. https://doi.org/10.1016/j.jsv.2012.09.016
  3. Bingham, E. and Hyvarinen, A. (2000), "A fast fixed-point algorithm for independent component analysis of complex valued signals", Int. J. Neural Syst., 10(1), 1-8. https://doi.org/10.1142/S0129065700000028
  4. Erlicher, S. and Argoul, P. (2007), "Modal identification of linear non-proportionally damped systems by wavelet transform", Mech. Syst. Signal Pr., 21(3), 1386-1421. https://doi.org/10.1016/j.ymssp.2006.03.010
  5. 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. -ASCE, 136(7), 889-897. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000133
  6. Hyvarinen, A. and Oja, E. (2000), "Independent component analysis: algorithms and applications", Neural Networks, 13(4-5), 411-430. https://doi.org/10.1016/S0893-6080(00)00026-5
  7. Juang, J.N. and Pappa, R.S. (1985), "An eigen system realization algorithm for modal parameter identification and model reduction", J. Guid. Control Dynam., 8(5), 620-627. https://doi.org/10.2514/3.20031
  8. Kerschen, G., Poncelet, F. and Golinval, J.C. (2007), "Physical interpretation 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
  9. McNell, S. (2007), Modal identification using blind source separation techniques, Ph.D. dissertation, The Department of Mechanical Engineering, University of Houston.
  10. McNeill, S.I. and Zimmerman, D.C. (2008), "A framework for blind identification using joint approximate diagonalization", Mech. Syst. Signal Pr., 22(7), 1526-1548. https://doi.org/10.1016/j.ymssp.2008.01.010
  11. Nagarajaiah, S. and Basu, B. (2009), "Output only identification and structural damage detection using time frequency and wavelet techniques", Earthq. Eng, Eng. Vib., 8(4), 583-605. https://doi.org/10.1007/s11803-009-9120-6
  12. Nagarajaiah, S. and Dharap, P. (2003), "Reduced order observer based identification of base isolated buildings", Earthq. Eng. Eng. Vib., 2(2), 237-244. https://doi.org/10.1007/s11803-003-0007-7
  13. Nagarajaiah, S. and Sun, X. (2000), "Response of base-isolated USC hospital building in Northridge earthquake", J. Struct. Eng. - ASCE, 126(10), 1177-1186. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1177)
  14. 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
  15. Yang, J.N., Lei, Y., Pan, S. and Huang, N. (2003), "System identification of linear structures based on Hilbert-Huang spectral analysis, part 2: complex modes", Earthq. Eng. Struct. D., 32(10), 1533-1554. https://doi.org/10.1002/eqe.288
  16. Yang, Y. and Nagarajaiah S. (2012), "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
  17. Yang, Y and Nagarajaiah, S. (2013a), "Time-frequency blind source separation using independent component analysis for output-only modal identification of highly-damped structures", J. Struct. Eng. - ASCE , 139(10), 1780-1793. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000621
  18. Yang, Y. and Nagarajaiah, S. (2013b), "Blind modal identification of output-only structures in time domain based on complexity pursuit", Earthq. Eng. Struct. D., 42(13), 1885-1905. https://doi.org/10.1002/eqe.2302
  19. Yang, Y. and Nagarajaiah, S. (2013c), "Output-only modal identification with limited sensors using sparse component analysis", J. Sound Vib., 332(19), 4741-4765. https://doi.org/10.1016/j.jsv.2013.04.004

Cited by

  1. On using the Hilbert transform for blind identification of complex modes: A practical approach vol.412, 2018, https://doi.org/10.1016/j.jsv.2017.09.017
  2. Decomposing a signal into short-time narrow-banded modes vol.373, 2016, https://doi.org/10.1016/j.jsv.2016.03.015
  3. A review of output-only structural mode identification literature employing blind source separation methods vol.94, 2017, https://doi.org/10.1016/j.ymssp.2017.03.001
  4. Blind modal identification of non-classically damped structures under non-stationary excitations vol.24, pp.6, 2017, https://doi.org/10.1002/stc.1925
  5. Modeling and harnessing sparse and low-rank data structure: a new paradigm for structural dynamics, identification, damage detection, and health monitoring vol.24, pp.1, 2017, https://doi.org/10.1002/stc.1851
  6. Thermal strain extraction methodologies for bridge structural condition assessment vol.27, pp.10, 2018, https://doi.org/10.1088/1361-665X/aad5fb
  7. Method for Decoupling and Correction of Dynamical Signals in High-Frequency Force Balance Tests vol.144, pp.12, 2018, https://doi.org/10.1061/(ASCE)ST.1943-541X.0002205
  8. Experimental Verification of Modal Identification of a High-rise Building Using Independent Component Analysis vol.13, pp.1, 2019, https://doi.org/10.1186/s40069-018-0319-7
  9. Determining minimum analysis conditions of scale ratio change to evaluate modal damping ratio in long-span bridge vol.22, pp.1, 2015, https://doi.org/10.12989/sss.2018.22.1.041
  10. Identification of plastic deformations and parameters of nonlinear single-bay frames vol.22, pp.3, 2018, https://doi.org/10.12989/sss.2018.22.3.315
  11. Short-time Fourier Transform of Free Induction Decays for the Analysis of Serum Using Proton Nuclear Magnetic Resonance vol.68, pp.4, 2019, https://doi.org/10.5650/jos.ess18212
  12. Damage detection of shear buildings using frequency-change-ratio and model updating algorithm vol.23, pp.2, 2019, https://doi.org/10.12989/sss.2019.23.2.107
  13. Probabilistic and spectral modelling of dynamic wind effects of quayside container cranes vol.30, pp.4, 2020, https://doi.org/10.12989/was.2020.30.4.405
  14. Online structural identification by Teager Energy Operator and blind source separation vol.26, pp.2, 2015, https://doi.org/10.12989/sss.2020.26.2.135
  15. Stochastic dynamic transient gusty wind effect on the sliding and overturning of quayside container cranes vol.17, pp.9, 2021, https://doi.org/10.1080/15732479.2020.1809465