Earthquakes and Structures

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Novel Hilbert spectrum-based seismic intensity parameters interrelated with structural damage

  • Tyrtaiou, Magdalini (Department of Civil Engineering, Institute of Structural Statics and Dynamics, Democritus University of Thrace) ;
  • Elenas, Anaxagoras (Department of Civil Engineering, Institute of Structural Statics and Dynamics, Democritus University of Thrace)
  • Received : 2018.12.16
  • Accepted : 2019.01.16
  • Published : 2019.02.25
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Abstract

The objective of this study is to propose new seismic intensity parameters based on the Hilbert spectrum and to associate them with the seismic damage potential. In recent years the assessment of even more seismic features derived from the seismic acceleration time-histories was associated with the structural damage. For a better insight into the complex seismic acceleration time-history, Hilbert-Huang Transform (HHT) analysis is utilized for its processing, and the Hilbert spectrum is obtained. New proposed seismic intensity parameters based on the Hilbert spectrum are derived. The aim is to achieve a significant estimation of the seismic damage potential on structures from the proposed new intensity parameters confirmed by statistical methods. Park-Ang overall structural damage index is used to describe the postseismic damage status of structures. Thus, a set of recorded seismic accelerograms from all over the word is applied on a reinforced concrete frame structure, and the Park-Ang indices through nonlinear dynamic analysis are provided and considered subsequently as reference numerical values. Conventional seismic parameters, with well-known seismic structural damage interrelation, are evaluated for the same set of excitations. Statistical procedures, namely correlation study and multilinear regression analysis, are applied on the set of the conventional parameters and the set of proposed new parameters separately, to confirm their interrelation with the seismic structural damage. The regression models are used for the evaluation of the structural damage indices for every set of parameters, respectively. The predicted numerical values of the structural damage indices evaluated from the two sets of seismic intensity parameters are inter-compared with the reference values. The numerical results confirm the ability of the proposed Hilbert spectrum based new seismic intensity parameters to approximate the postseismic structural damage with a smaller Standard Error of Estimation than this accomplished of the conventional ones.

Keywords

References

  1. Alvanitopoulos, P., Andreadis, I. and Elenas, A. (2010), "Interdependence between damage indices and ground motion parameters based on Hilbert-Huang transform", Measur. Sci. Technol., 21(2), 025101-025115. https://doi.org/10.1088/0957-0233/21/2/025101
  2. Alvanitopoulos, P., Papavasileiou, M., Andreadis, I. and Elenas, A. (2012), "Seismic intensity feature construction based on the Hilbert-Huang transform", IEEE Tran. Instrum. Measur., 61(2), 326-337. https://doi.org/10.1109/TIM.2011.2161934
  3. Araya, R. and Saragoni, G.R. (1984), "Earthquake accelerogram destructiveness potential factor", Proceedings of the 8th World Conference on Earthquake Engineering, EERI, El Cerrito, CA, USA.
  4. Arias, A. (1970), "A measure of earthquake intensity", Seismic Design for Nuclear Power Plants, Ed. Hansen, R.J., MIT Press, Cambridge, MA, USA.
  5. ATC 3-06 Publication (1978), Tentative Provisions for the Development of Seismic Regulations for Buildings, US Government Printing Office, Washington, DC, USA.
  6. Battista, B.M., Knapp, C.C., McGee, T. and Goe bel, V. (2007), "Application of the empirical mode decomposition and Hilbert-Huang transform to seismic reflection data", Geophys., 72(2), H29- H37. https://doi.org/10.1190/1.2437700
  7. Cabanas, L., Benito, B. and Herraiz, M. (1997), "An approach to the measurement of the potential structural damage of earthquake ground motions", Earthq. Eng. Struct. Dyn., 26(1), 79-92. https://doi.org/10.1002/(SICI)1096-9845(199701)26:1<79::AID-EQE624>3.0.CO;2-Y
  8. Chopra, A.K. (1995), Dynamics of Structures, Prentice-Hall, Englewood Cliffs, NJ, USA.
  9. EC2 (2000), Eurocode 2: Design of Concrete Structures-Part 1: General Rules and Rules for Buildings, European Committee for Standardization, Brussels, Belgium.
  10. EC8 (2004), Eurocode 8: Design of Structures for Earthquake Resistance-Part 1: General Rules, Seismic Actions, and Rules for Buildings, European Committee for Standardization, Brussels, Belgium.
  11. Elenas, A. (1997), "Interdependency between seismic acceleration parameters and the behavior of structures", Soil Dyn. Earthq. Eng., 16(5), 317-322. https://doi.org/10.1016/S0267-7261(97)00005-5
  12. Elenas, A. (2000), "Correlation between seismic acceleration parameters and overall structural damage indices of buildings", Soil Dyn. Earthq. Eng., 20(1), 93-100. https://doi.org/10.1016/S0267-7261(00)00041-5
  13. Elenas, A. (2014), "Seismic-parameter-based statistical procedure for the approximate assessment of structural damage", Math. Prob. Eng., 2014, Article ID 916820.
  14. Elenas, A. and Meskouris, K. (2001), "Correlation study between seismic acceleration parameters and damage indices of structures", Eng. Struct., 23(6), 698-704. https://doi.org/10.1016/S0141-0296(00)00074-2
  15. Elenas, A., Liolios, A. and Vasiliadis, L. (1995), "Earthquakeinduced nonlinear behavior of structures interrelation with characteristic acceleration parameters", Proceedings of the 10th European Conference on Earthquake Engineering, Vienna, 1011-1016.
  16. Ercan, I., Mehmet, F.I. and Mehmet, A.B. (2017), "Web-based evaluation of earthquake damages for reinforced concrete buildings", Earthq. Struct., 13(4), 387-396. https://doi.org/10.12989/EAS.2017.13.4.387
  17. Fajfar, P., Vidic, T. and Fischinger, M. (1990), "A measure of earthquake motion capacity to damage medium-period structures", Soil Dyn. Earthq. Eng., 9(5), 236-242. https://doi.org/10.1016/S0267-7261(05)80002-8
  18. Gholamreza, G.A. and Elham, R. (2018), "Maximum damage prediction for regular reinforced concrete frames under consecutive earthquakes", Earthq. Struct., 14(2), 129-142. https://doi.org/10.12989/EAS.2018.14.2.129
  19. Housner, G.W. (1952), "Spectrum intensities of strong-motion earthquakes", Proceedings of the Symposium on Earthquake and Blast Effects on Structures, EERI, Oakland, CA, USA.
  20. Huang, N., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.C., Tung, C. and Liu, H. (1998), "The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis", Proceedings of the Royal Society of London A, Math. Phys. Eng. Sci., 454, 903-995. https://doi.org/10.1098/rspa.1998.0193
  21. Huang, N., Wu, M.L., Qu, W., Long, S. and Shen, S. (2003), "Applications of Hilbert-Huang transform to non-stationary financial time series analysis applied stochastic models in business and industry", Appl. Stoch. Model. Business Ind., 19(3), 245-268. https://doi.org/10.1002/asmb.501
  22. Huang. N., Shen, Z. and Long, S.R. (1999), "A new view of nonlinear water waves: The Hilbert spectrum", Annu. Rev. Fluid Mech., 31(1), 417-457. https://doi.org/10.1146/annurev.fluid.31.1.417
  23. Husid, R.L. (1969), "Analisis de terremotos: analisis general", Revista del IDEM, 8(1), 21-42.
  24. Jennings, P.C. (1982), "Engineering seismology", Earthquakes: Observation, Theory and Interpretation, Eds. Kanamori, H. and Boschi, E., Italian Physical Society, Varenna, Italy.
  25. Kappos, A.J. (1990), "Sensitivity of calculated inelastic seismic response to input motion characteristics", Proceedings of the 4th U.S. National Conference on Earthquake Engineering, EERI, Oakland, CA, USA.
  26. Khamis, H.J. and Kepler, M. (2010), "Sample size in multiple regression: 20+5k", J. Appl. Stat. Sci., 17(4), 505-517.
  27. Kostinakis, K. (2018), "Impact of the masonry infills on the correlation between seismic intensity measures and damage of R/C buildings", Earthq. Struct., 14(1), 55-71. https://doi.org/10.12989/EAS.2018.14.1.055
  28. Kostinakis, K. and Morfidis, K. (2017), "The impact of successive earthquakes on the seismic damage of multistorey 3D R/C buildings", Earthq. Struct., 12(1), 1-12. https://doi.org/10.12989/eas.2017.12.1.001
  29. Martinez-Rueda, J.E. (1998), "Scaling procedure for natural accelerograms based on a system of spectrum intensity scales", Earthq.e Spectra, 14(1), 135-152. https://doi.org/10.1193/1.1585992
  30. Meskouris, K. (2000), Structural Dynamics: Models, Methods, Examples, Ernst & Sohn, Berlin, Germany.
  31. Meskouris, K., Kratzig, W.B. and Hanskotter, U. (1993), "Nonlinear computer simulations of seismically excited wallstiffened reinforced concrete buildings", Proceedings of the 2nd International Conference on Structural Dynamics (EURODYN'93), Balkema, Lisse, The Netherlands.
  32. Nanos, N., Elenas, A. and Ponterosso, P. (2008), "Correlation of different strong motion duration parameters and damage indicators of reinforced concrete structures", Proceedings of the14th World Conference on Earthquake Engineering, Beijing, China.
  33. Park, Y.J. and Ang, A.H.S. (1985), "Mechanistic seismic damage model for reinforced concrete", J. Struct. Eng., 111(4), 722-739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722)
  34. Park, Y.J., Ang, A.H.S. and Wen, Y.K. (1987), "Damage-limiting aseismic design of buildings", Earthq. Spectra, 3(1), 1-26. https://doi.org/10.1193/1.1585416
  35. Pejovic, J.R., Serdar, N.N. and Pejovic, R. (2017), "Optimal intensity measures for probabilistic seismic demand models of RC high-rise buildings", Earthq. Struct., 13(3), 221-230. https://doi.org/10.12989/EAS.2017.13.3.221
  36. Reinhorn, A.M., Roh, H., Sivaselvan M. et al. (2009), "IDARC2D version 7.0: a program for the inelastic damage analysis of structures", Tech. Rep., MCEER-09-0006, MCEER, State University of New York at Buffalo, New York, NY, USA.
  37. Statpoint Technologies Inc. (2016), STATGRAPHICS Centurion XVII User Manual, StatPoint, Herndon, VA, USA.
  38. Tabachnick, B.G. and Fidell, L.S. (2013), Using Multivariate Statistics, 6th Edition, Pearson Education Inc., Upper Saddle River, NJ, USA.
  39. Trifunac, M.D. and Brady, A.G. (1975), "A study on the duration of strong earthquake ground motion", Bull. Seismol. Soc. Am., 65(3), 581-626.
  40. Uang, C.M. and Bertero, V.V. (1990), "Evaluation of seismic energy in structures", Earthq. Eng. Struct. Dyn., 19(1), 77-90. https://doi.org/10.1002/eqe.4290190108
  41. Vanmarcke, E.H. and Lai, S.S.P. (1980), "Strong-motion duration and RMS amplitude of earthquake records", Bull. Seismol. Soc. Am., 70(4), 1293-1307.
  42. Vrochidou, E., Alvanitopoulos, P., Andreadis, I. and Elenas, A. (2016), "Structural damage estimation in mid-rise reinforced concrete structure based on time-frequency analysis of seismic accelerograms", IET Sci. Measur. Technol., 10(8), 900-909. https://doi.org/10.1049/iet-smt.2016.0129
  43. Vrochidou, E., Alvanitopoulos, P., Andreadis, I. and Elenas, A. (2018), "Artificial accelerograms composition based on the CEEMD", Tran. Inst. Measur. Control, 40(1), 239-250. https://doi.org/10.1177/0142331216654533
  44. Vui, V.C. and Hamid, R.R. (2014), "Correlation between parameters of pulse-type motions and damage of low-rise RC frames", Earthq. Struct., 7(3), 365-384. https://doi.org/10.12989/eas.2014.7.3.365
  45. Yan, R.Q. and Gao, R.X. (2007), "A tour of the tour of the Hilbert-Huang transform: An empirical tool for signal analysis", IEEE Instrum. Meas.Mag., 10(5), 40-45.
  46. Zhang, R.R., Ma, S., Safak, E. and Hartzell S. (2003), "Hilbert-Huang transform analysis of dynamic and earthquake motion recordings", J. Eng. Mech., ASCE, 129(8), 861-875. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:8(861)