Structural Engineering and Mechanics

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The combined deterministic stochastic subspace based system identification in buildings

  • Received : 2009.11.04
  • Accepted : 2010.12.28
  • Published : 2011.05.10
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Abstract

The Combined Deterministic Stochastic Subspace based System Identification Technique (CDSSSIT) is a powerful input-output system identification technique which is known to be always convergent and numerically stable. The technique determines a Kalman state sequence from the projection of the output-input data. The state space matrices are determied subsequently from this Kalman state sequence using least squares. The objective of this paper is to examine the efficiency of the CDSSSIT in identifying the modal parameters (frequencies and mode shapes) of a stiff structure. The results show that the CDSSSIT predicts the modal parameters of stiff buildings quite accurately but is very sensitive to the location of sensors.

Keywords

References

  1. Azarbayejani, M., El-Osery A.I. and Taha, M.M.R. (2009a), "Entropy-based optimal sensor networks for structural health monitoring of a cable-stayed bridge", Smart Struct. Syst., 5(4), 369-379. https://doi.org/10.12989/sss.2009.5.4.369
  2. Azarbayejani, M., El-Osery, A.I. and Taha, M.M.R. (2009b), "Condition assessment of reinforced concrete bridges using structural health monitoring techniques - A case study", Smart Struct. Syst., 5(4), 381-395. https://doi.org/10.12989/sss.2009.5.4.381
  3. Gundes Bakir, P. (2008), TUBITAK Project No:107M573, Damage Identification in Existing Buildings Using Real Time System Identification Techniques and Finite Element Model Updating, ITU, Istanbul, Turkey.
  4. Gundes Bakir, P. (2010), "Evaluation of optimal sensor placement techniques in buildings", Math. Comput. Appl. (accepted for publication)
  5. Cardini, A.J. and DeWolf, J.T. (2009), "Long-term structural health monitoring of a multi-girder steel composite bridge using strain data", Struct. Hlth. Monit., 8(1), 47-58. https://doi.org/10.1177/1475921708094789
  6. Celebi, M. and Safak, E. (1992), "Seismic response of Pasific Park Plaza, 1. data and preliminary analysis", J. Struct. Eng.-ASCE, 118(6), 1547-1592. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1547)
  7. Doebling, S.W. (1996), "Measurement of structural flexibility matrices for experiments with incomplete reciprocity", PhD Thesis, Colorado University, USA.
  8. Imamovic, N. (1998), "Model validation of large finite element model using test data", PhD Thesis, Imperial College, London, UK.
  9. Kammer, D.C. (1991), "Sensor placement for on-orbit modal identification and correlation of large space structures", J. Guid. Control Dynam., 14(2), 251-259. https://doi.org/10.2514/3.20635
  10. Kammer, D.C. and Tinker, M.L. (2004), "Optimal placement of triaxial accelerometers for modal vibration tests", Mech. Syst. Signal Pr., 18, 29-41. https://doi.org/10.1016/S0888-3270(03)00017-7
  11. Kammer, D.C. (2005), "Sensor set expansion for modal vibration testing", Mech. Syst. Signal Pr., 19(4), 700-716. https://doi.org/10.1016/j.ymssp.2004.06.003
  12. Kim, H.B. and Park, Y.S. (1997), "Sensor placement guide for structural joint stiffness model improvement", Mech. Syst. Signal Pr., 11(5), 651-672. https://doi.org/10.1006/mssp.1997.0108
  13. Kohler, M.D., Davis, P.M. and Safak, E. (2005), "Earthquake and ambient vibration monitoring of the steel frame UCLA factor building", Earthq. Spectra, 21(3), 715-736. https://doi.org/10.1193/1.1946707
  14. Mosallam, A., Miraj, R. and Abdi, F. (2009), "Diagnostic/prognostic health monitoring system and evaluation of a composite bridge", Smart Struct. Syst., 5(4), 397-413. https://doi.org/10.12989/sss.2009.5.4.397
  15. Peeters, B. (2000), "System identification and damage detection in civil engineering", PhD Thesis, Department of Civil Engineering, Katholieke Universiteit Leuven, Belgium.
  16. Safak, E. and Celebi, M. (1992), "Seismic response of Pasific Park Plaza, 2. system identification", J. Struct. Eng.-ASCE, 118(6), 1566-1589. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1566)
  17. Safak, E. (1993), "Response of a 42 storey steel-frame building to the M(s)=7.1 Lome-Prieta earthquake", Eng. Struct., 15(6), 403-421. https://doi.org/10.1016/0141-0296(93)90059-D
  18. Van Overschee, P. and De Moor, B. (1992a), "Subspace algorithms for the identification of combined deterministic-stochastic systems", ESAT/SISTA Report 1992-10, Katholieke Universiteit Leuven, Department of Electrical Engineering, Belgium.
  19. Van Overschee, P. and De Moor, B. (1992b), "Two subspace algorithms for the identification of combined deterministic stochastic systems", Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, USA, December.
  20. Van Overschee, P. and De Moor, B. (1994a), "A unifying theorem for three subspace system identification algorithms", Proceedings of the SYSID '94, Copenhagen, Denmark, July.
  21. Van Overschee, P. and De Moor, B. (1994b), "Subspace algorithms for the identification of combined deterministic-stochastic systems", Automatica, Special issue on Statistical Signal Processing and Control, 30(1), 75-93.
  22. Van Overschee, P. and De Moor, B. (1995), "A unifying theorem for three subspace system identification algorithms", Automatica, 31(12), 1877-1883. https://doi.org/10.1016/0005-1098(95)00071-9
  23. Van Overschee, P. and De Moor, B. (1996), Subspace Identification for Linear Systems, Kluwer Academic Publishers, Massachusetts, USA.
  24. Website of the Instrumented Building (2007), Available at: www.erenkoy.k12.tr/.

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