Earthquakes and Structures

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Seismic damage potential described by intensity parameters based on Hilbert-Huang Transform analysis and fundamental frequency of structures

  • 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 : 2019.12.14
  • Accepted : 2020.02.12
  • Published : 2020.04.25
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Abstract

This study aims to present new frequency-related seismic intensity parameters (SIPs) based on the Hilbert-Huang Transform (HHT) analysis. The proposed procedure is utilized for the processing of several seismic accelerograms. Thus, the entire evaluated Hilbert Spectrum (HS) of each considered seismic velocity time-history is investigated first, and then, a delimited area of the same HS around a specific frequency is explored, for the proposition of new SIPs. A first application of the suggested new parameters is to reveal the interrelation between them and the structural damage of a reinforced concrete frame structure. The index of Park and Ang describes the structural damage. The fundamental frequency of the structure is considered as the mentioned specific frequency. Two statistical methods, namely correlation analysis and multiple linear regression analysis, are used to identify the relationship between the considered SIPs and the corresponding structural damage. The results confirm that the new proposed HHT-based parameters are effective descriptors of the seismic damage potential and helpful tools for forecasting the seismic damages on buildings.

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References

  1. Alvanitopoulos P.F., I Andreadis I. and Elenas A. (2010), "Interdependence between damage indices and ground motion parameters based on Hilbert-Huang transform", Measurement Sci. Technol., 21(2), 1-14.
  2. Battista, B.M., Knapp, C.C., McGee, T. and Goebel, V. (2007), "Application of the empirical mode decomposition and Hilbert-Huang transform to seismic reflection data", Geophysics, 72(2), H29- H37. https://doi.org/10.1190/1.2437700.
  3. 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%3C79::AID-EQE624%3E3.0.CO;2-Y.
  4. EC2 (2000), Eurocode 2: Design of Concrete Structures-Part 1: General Rules and Rules for Buildings, European Committee for Standardization, Brussels, Belgium.
  5. 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.
  6. 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.
  7. 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.
  8. Elenas, A. (2014), "Seismic-parameter-based Statistical procedure for the approximate assessment of structural damage", Math. Probm Eng., 2014, 916820. https://doi.org/10.1155/2014/916820.
  9. 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.
  10. 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.
  11. 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", Proceeding of the Royal Society of London A, Math. Phys. Eng. Sci., 454(1971), 903-995. https://doi.org/10.1098/rspa.1998.0193
  12. 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. Models Business Ind., 19(3), 245-268. https://doi.org/10.1002/asmb.501.
  13. Huang. N., Shen, Z. and Long, S.R. (1999), "A new view of nonlinear water waves: The Hilbert spectrum", Annu. Rev. Fluid Mech., 31, 417-457. https://doi.org/10.1146/annurev.fluid.31.1.417.
  14. Kappos, A.J. (1990), "Sensitivity of calculated inelastic seismic response to input motion characteristics", The Proceedings of the 4th U.S. National Conference on Earthquake Engineering, 25-34, Oakland, U.S.A.
  15. 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.
  16. 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), 1-2. https://doi.org/10.12989/eas.2017.12.1.001.
  17. Nanos, N., Elenas, A. and Ponterosso, P. (2008), "Correlation of different strong motion duration parameters and damage indicators of reinforced concrete structures", The Proceedings of the 14th World Conference on Earthquake Engineering, Beijing, China.
  18. 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).
  19. 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%2F1.1585416. https://doi.org/10.1193/1.1585416
  20. 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.
  21. Reinhorn, A.M., Roh, H., Sivaselvan, M.V., Kunnath, S.K., Valles, R.E., Madan, A. and Park, Y.J. (2009), "IDARC2D version 7.0: a program for the inelastic damage analysis of structures", Report Number, MCEER-09-0006, MCEER, State University of New York at Buffalo, New York, N.Y., U.S.A.
  22. Statpoint Technologies Inc. (2016), STATGRAPHICS Centurion XVII User Manual, StatPoint, Herndon, U.S.A.
  23. Tabachnick, B. and Fidell, L. (2013), "Using multivariate statistics", 6th edition, Pearson Education Inc., Upper Saddle River, U.S.A.
  24. The Math Works Inc. (2019), MATLAB and Statistics Toolbox Release 2019a, Natick, U.S.A.
  25. Tyrtaiou, M. and Elenas, A. (2019), "Novel Hilbert spectrum-based seismic intensity parameters interrelated with structural damage", Earthq. Struct., 16(2),197-208. I: https://doi.org/10.12989/eas.2019.16.2.197.
  26. Vrochidou, E., Alvanitopoulos, P.F., Andreadis, I. and Elenas, A. (2016), "Structural damage estimation in mid-rise reinforced concrete structure based on time-frequency analysis of seismic accelerograms", IET Science, Measure. Technol., 10(8), 900-909. https://doi.org/10.1049/iet-smt.2016.0129.
  27. 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
  28. 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. https://doi.org/10.1109/MIM.2007.4343566.
  29. 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).