DOI QR코드

DOI QR Code

SSA-based stochastic subspace identification of structures from output-only vibration measurements

  • Loh, Chin-Hsiung (Department of Civil Engineering, National Taiwan University) ;
  • Liu, Yi-Cheng (Department of Civil Engineering, National Taiwan University) ;
  • Ni, Yi-Qing (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University)
  • 투고 : 2011.06.07
  • 심사 : 2012.03.02
  • 발행 : 2012.10.25

초록

In this study an output-only system identification technique for civil structures under ambient vibrations is carried out, mainly focused on using the Stochastic Subspace Identification (SSI) based algorithms. A newly developed signal processing technique, called Singular Spectrum Analysis (SSA), capable to smooth a noisy signal, is adopted for preprocessing the measurement data. An SSA-based SSI algorithm with the aim of finding accurate and true modal parameters is developed through stabilization diagram which is constructed by plotting the identified system poles with increasing the size of data matrix. First, comparative study between different approaches, with and without using SSA to pre-process the data, on determining the model order and selecting the true system poles is examined in this study through numerical simulation. Finally, application of the proposed system identification task to the real large scale structure: Canton Tower, a benchmark problem for structural health monitoring of high-rise slender structures, using SSA-based SSI algorithm is carried out to extract the dynamic characteristics of the tower from output-only measurements.

키워드

참고문헌

  1. Brincker, R., Zhang, L., Andersen, P. (2001), "Modal identification of output-only systems using frequency domain decomposition", Smart Mater. Struct., 10(3), 441-445. https://doi.org/10.1088/0964-1726/10/3/303
  2. Juang, J.N. and Pappa, R.S. (1985), "Eigensystem realization algorithm for modal parameter identification and modal reduction", J. Guid. Control Dynam., 8(5), 620-627. https://doi.org/10.2514/3.20031
  3. Van Overschee P. and De Moor B. (1996), Subspace Identification for Linear Systems: Theory - Implementation - Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands.
  4. Peeters, B. and De Roeck, G. (2001), "Stochastic system identification for operational modal analysis: a review", J. Dyn. Syst. Meas. Control, 123(4), 659-667. https://doi.org/10.1115/1.1410370
  5. Larimore, W.E. (1994), "The optimality of canonical variate identification by example", Proceedings of the SYSID, Copenhagen, Denmark, 4-6 July.
  6. Van Overschee, P. and De Moor, B. (1994), "N4SID: subspace algorithms for the identification of combined deterministic-stochastic systems", Automatica, 30(1), 75-93. https://doi.org/10.1016/0005-1098(94)90230-5
  7. Verhaegen, M. and Dewilde, P. (1992), "Subspace model identification, Part : The output-error state space model identification class of algorithms", Int. J. Control, 56(5), 1187-1210. https://doi.org/10.1080/00207179208934363
  8. Bart Peeters and Guido De Roeck (1999), "Reference-based stochastic subspace identification for output-only modal analysis", Mech. Syst. Signal Pr., 13(6), 855-878. https://doi.org/10.1006/mssp.1999.1249
  9. Weng, J.H., Loh, C.H., Lynch, J.P., Lu, K.C., Linn, P.Y. and Wang, Y. (2008), "Output-only modal identification of a cable-stayed bridge using wireless monitoring systems", Eng. Struct., 30(2), 1802-1830. https://doi.org/10.1016/j.engstruct.2007.12.004
  10. Abdelghani, M., Basseville, M. and Benveniste, A. (1997), "In-operation damage monitoring and diagnostics of vibrating structures, with applications to offshore structures and rotating machinery", Proceedings of the IMAC 15, Orlando FL,USA, 1815-182,1997.
  11. Abdelghani, M., Goursat, M., Biolchini, T., Hermans, L.and Van Der Auweraer, H. (1999), "Performance of output-only identification algorithms for modal analysis of aircraft structures", Proceedings of the IMAC XVII: 17th International Modal Analysis Conference, Kissimmee FL, 8-11 February.
  12. Bassville, M., Benveniste, A., Goursat, M. and Mevel, L. (2007), In-flight vibration monitoring of aeronautical structures, IEEE Control System Magazine, October, 27-41.
  13. Boonyapinyo, V. and Janesupasaeree, T. (2010) "Data-driven stochastic subspace identification of flutter derivatives of bridge decks", J. Wind Eng. Ind. Aerod., 98(12), 784-799. https://doi.org/10.1016/j.jweia.2010.07.003
  14. Basseville, M., Benveniste, A., Gach-Devauchelle, B., Goursat, M., Bonnecase, D., Dorey, P., Prevosto, M. and Olagnon, M. (1993) "In situ damage monitoring in vibration mechanics: diagnostics and predictive maintenance", Mech. Syst. Signal Pr., 7(5), 401-423. https://doi.org/10.1006/mssp.1993.1023
  15. James, G.H., Carne, T.G., Lauffer, J.P. and Nord, A.R. (1992), 'Modal testing using natural excitation, Proceedings of the 10th Int. Modal Analysis Conference, San Diego.
  16. Caicedo, J.M., Dyke, S.J. and Johnson, E.A. (2004), "Natural excitation technique and eigensystem realization algorithm for phase I of the IASC-ASCE benchmark problem: simulated data", J. Eng. Mech. - ASCE, 130(1), 49-60. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:1(49)
  17. Zhang, Y., Zhang, Z., Xu, X. and Hua, H. (2005), "Modal parameter identification using response data only", J. Sound Vib., 282(1-2), 367-380, 2005. https://doi.org/10.1016/j.jsv.2004.02.012
  18. Peeters, B. (2000), System Identification and Damage Detection in Civil Engineering, Ph.D. Dissertation, Katholieke Universiteit, Leuven, December.
  19. Reynders, E., Pintelon, R. and De Roecka, G. (2008), "Uncertainty bounds on modal parameters obtained from stochastic subspace identification", Mech. Syst. Signal Pr., 22(4), 948-969. https://doi.org/10.1016/j.ymssp.2007.10.009
  20. Elsner, J.B. and Tsonis, A.A. (1996), Singular Spectrum Analysis: a New Tool in Time Series Analysis, Plenum Press, New York and London.
  21. Alonso, F.J., Del Castillo, J.M., and Pintado, P. (2005), "Application of singular spectrum analysis to the smoothing of raw kinematic signals", J. Biomech., 38(5),1085-1092. https://doi.org/10.1016/j.jbiomech.2004.05.031
  22. Wong, J.H., Loh, C.H. and Yang, J.N. (2009), "Experimental study of damage detection by data-driven subspace identification and finite element model updating", J. Struct. Eng.- ASCE, 135(12), 1533-1544. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000079
  23. Ni, Y.Q., Xia, Y., Liao, W.Y., and Ko, J.M. (2009), "Technology innovation in developing the structural health monitoring system for Guangzhou New TV Tower", Struct. Control Health Monit., 16(1), 73-98. https://doi.org/10.1002/stc.303
  24. Ni, Y.Q., Xia, Y., Lin, W., Chen,W.H. and Ko, J.M. (2012), "SHM benchmark for high-rise structures: a reducedorder finite element model and field measurement data", Smart Struct. Syst., in this issue.

피인용 문헌

  1. Vibration-based identification of rotating blades using Rodrigues' rotation formula from a 3-D measurement vol.21, pp.6, 2015, https://doi.org/10.12989/was.2015.21.6.677
  2. Application of stochastic subspace identification for stay cables with an alternative stabilization diagram and hierarchical sifting process vol.23, pp.9, 2016, https://doi.org/10.1002/stc.1836
  3. Investigation of mode identifiability of a cable-stayed bridge: comparison from ambient vibration responses and from typhoon-induced dynamic responses vol.15, pp.2, 2015, https://doi.org/10.12989/sss.2015.15.2.447
  4. Online Simultaneous Reconstruction of Wind Load and Structural Responses-Theory and Application to Canton Tower vol.30, pp.8, 2015, https://doi.org/10.1111/mice.12134
  5. Structural health monitoring of Shanghai Tower during different stages using a Bayesian approach vol.23, pp.11, 2016, https://doi.org/10.1002/stc.1840
  6. New insights into coherence analysis with a view towards extracting structural natural frequencies under operational conditions vol.77, 2016, https://doi.org/10.1016/j.measurement.2015.08.038
  7. AMD-Based Random Decrement Technique for Modal Identification of Structures with Close Modes vol.31, pp.5, 2018, https://doi.org/10.1061/(ASCE)AS.1943-5525.0000882
  8. Stable modal identification for civil structures based on a stochastic subspace algorithm with appropriate selection of time lag parameter vol.4, pp.4, 2012, https://doi.org/10.12989/smm.2017.4.4.331
  9. Mode localization characteristics of damaged quasiperiodically supported beam structures with local weak coupling vol.26, pp.6, 2012, https://doi.org/10.1002/stc.2351
  10. A state space technique for modal identification of coupled structure-tuned mass damper systems from vibration measurement vol.22, pp.9, 2019, https://doi.org/10.1177/1369433219829807
  11. Application of the Subspace-Based Methods in Health Monitoring of Civil Structures: A Systematic Review and Meta-Analysis vol.10, pp.10, 2012, https://doi.org/10.3390/app10103607
  12. Online structural identification by Teager Energy Operator and blind source separation vol.26, pp.2, 2012, https://doi.org/10.12989/sss.2020.26.2.135
  13. 고층건물의 모달 감쇠비 식별 기법들의 정확도 및 안정성 평가 vol.36, pp.8, 2020, https://doi.org/10.5659/jaik.2020.36.8.161