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Expected damage for SDOF systems in soft soil sites: an energy-based approach

  • Quinde, Pablo (Intitute of Engineering, UNAM, Circuito Escolar, Ciudad Universitaria) ;
  • Reinoso, Eduardo (Intitute of Engineering, UNAM, Circuito Escolar, Ciudad Universitaria) ;
  • Teran-Gilmore, Amador (Departamento de Materiales, Universidad Autonoma Metropolitana) ;
  • Ramos, Salvador (Intitute of Engineering, UNAM, Circuito Escolar, Ciudad Universitaria)
  • Received : 2019.04.25
  • Accepted : 2019.10.26
  • Published : 2019.12.25

Abstract

The seismic response of structures to strong ground motions is a complex problem that has been studied for decades. However, most of current seismic regulations do not assess the potential level of damage that a structure may undergo during a strong earthquake. This will happen in spite that the design objectives for any structural system are formulated in terms of acceptable levels of damage. In this article, we analyze the expected damage in single-degree-of-freedom systems subjected to long-duration ground motions generated in soft soil sites, such as those located in the lakebed of Mexico City. An energy-based methodology is formulated, under the consideration of input energy as the basis for the evaluation process, to estimate expected damage. The results of the proposed methodology are validated with damage curves established directly with nonlinear dynamic analyses.

Keywords

References

  1. Akiyama, H. (2003), Metodologia de Proyecto Sismorresistente de Edificios Basada en el Balance Energetico, Ed. S.A. Reverte, Barcelona, Espana, Reverte, S.A. (in Spanish)
  2. Akiyama, H. and Takahashi, M. (1992), "Nonlinear seismic analysis and design of reinforced concrete buildings", Eds. H. Krawinkler and P. Fajfar, Response of Reinforced Concrete Moment Frames to Strong Earthquake Ground Motions, Elsevier Applied Science.
  3. American Society of Civil Engineers (ASCE) (2010), Minimum Design Loads for Buildings and Other Structures, A. 7-10 Edition, Reston, VA.
  4. Arroyo, D. and Ordaz, M. (2006), "Demandas de energia histeretica en osciladores elastoplasticos sujetos a ruido blanco Gaussiano", Revista de Ingenieria Sismica, 138(74), 103-138. https://doi.org/10.18867/ris.74.74
  5. Arroyo, D. and Ordaz, M. (2007), "Hysteretic energy demands for SDOF systems subjected to narrow band earthquake ground motions. Applications to the lake bed zone of Mexico City", J. Earthq. Eng., 11(2), 147-165. https://doi.org/10.1080/13632460601123131.
  6. Baker, J.W. (2015), "Efficient analytical fragility function fitting using dynamic structural analysis", Earthq. Spectra, 31(1), 579-599. https://doi.org/10.1193/021113EQS025M.
  7. Baker, J.W. and Cornell, C.A. (2005), "A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon", Earthq. Eng. Struct. Dyn., 34(10), 1193-1217. https://doi.org/10.1002/eqe.474.
  8. Benavent-Climent, A. (2011), "An energy-based method for seismic retrofit of existing frames using hysteretic dampers", Soil Dyn. Earthq. Eng., 31(10), 1385-1396. https://doi.org/10.1016/j.soildyn.2011.05.015.
  9. Bojorquez, E., Teran Gilmore, A., Bojorquez, J. and Ruiz, S.E. (2009), "Consideracion explicita del dano acumulado en el diseno sismico de estructuras a traves de factores de reduccion de resistencia por ductilidad", Revista de Ingenieria Sismica, 62(80), 31-62. (in Spanish)
  10. Bommer, J.J., Magenes, G., Hancock, J. and Penazzo, P. (2004), "The influence of strong-motion duration on the seismic response of masonry structures", Bull. Earthq. Eng., 2(1), 1-26. https://doi.org/10.1023/B:BEEE.0000038948.95616.bf.
  11. Bradley, B.A. (2010), "A generalized conditional intensity measure approach and holistic ground-motion selection", Earthq. Eng. Struct. Dyn., 39(12), 1321-1342. https://doi.org/10.1002/eqe.995.
  12. Chai, Y.H. (2005), "Incorporating low-cycle fatigue model into duration-dependent inelastic design spectra", Earthq. Eng. Struct. Dyn., 34(1), 83-96. https://doi.org/10.1002/eqe.422.
  13. Chai, Y.H. and Fajfar, P. (2000), "A procedure for estimating input energy spectra for seismic design", J. Earthq. Eng., 4(4), 539-561. https://doi.org/10.1080/13632460009350382.
  14. Chandramohan, R., Baker, J.W. and Deierlein, G.G. (2016), "Quantifying the influence of ground motion duration on structural collapse capacity using spectrally equivalent records", Earthq. Spectra, 32(2), 927-950. https://doi.org/10.1193/122813EQS298MR2.
  15. Choi, H. and Kim, J. (2009), "Evaluation of seismic energy demand and its application on design of buckling-restrained braced frames", Struct. Eng. Mech., 31(1), 93-112. https://doi.org/10.12989/sem.2009.31.1.093.
  16. Cornell, C.A. (1997), "Does duration really matter?", N. C. for E. E. Research, FHWA/NCEER Workshop on the National Representation of Seismic Ground Motion for New and Existing Highway Facilities, Burlingame, CA.
  17. Darwin, D. and Nmai, C. (1986), "Energy dissipation in RC beams under cyclic load", ASCE J. Struct. Eng., 112(8), 1829-1846. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:8(1829).
  18. Donaire-Avila, J., Benavent-Climent, A., Lucchini, A. and Mollaioli, F. (2017), "Energy-based seismic design methodology: A preliminary approach", 16WCEE.
  19. Eads, L., Miranda, E., Krawinkler, H. and Lignos, D.G. (2013), "An efficient method for estimating the collapse risk of structures in seismic regions", Earthq. Eng. Struct. Dyn., 42(1), 25-41. https://doi.org/10.1002/eqe.2191.
  20. Fajfar, P. (1992), "Equivalent ductility factors, taking into account low-cycle fatigue", Earthq. Eng. Struct. Dyn. 21(10), 837-848. https://doi.org/10.1002/eqe.4290211001.
  21. Federal Emergency Management Agency (FEMA) (2009), Quantification of Building Seismic Performance Factors FEMA P695, Fema P695.
  22. Federal Emergency Management Agency (FEMA) (2012), Seismic Performance Assessment of Buildings-Methodology, Fema P-58-1, 1(September), 278.
  23. Goertz, C., Mollaioli, F. and Tesfamariam, S. (2018), "Energy based design of a novel timber-steel building", Earthq. Struct., 15(4), 351-360. http://dx.doi.org/10.12989/eas.2018.15.4.351.
  24. Hancock, J. and Bommer, J.J. (2005), "The effective number of cycles of earthquake ground motion", Earthq. Eng. Struct. Dyn., 34(6), 637-664. https://doi.org/10.1002/eqe.437.
  25. Hancock, J. and Bommer, J.J. (2006), "A state-of-knowledge review of the influence of strong-motion duration on structural damage", Earthq. Spectra, 22(3), 827-845. https://doi.org/10.1193/1.2220576.
  26. Hancock, J. and Bommer, J.J. (2007), "Using spectral matched records to explore the influence of strong-motion duration on inelastic structural response", Soil Dyn. Earthq. Eng., 27(4), 291-299. https://doi.org/10.1016/j.mcm.2010.10.012.
  27. Ibarra, L.F., Medina, R.A. and Krawinkler, H. (2005), "Hysteretic models that incorporate strength and stiffness deterioration", Earthq. Eng. Struct. Dyn., 34(12), 1489-1511. https://doi.org/10.1002/eqe.495.
  28. Iervolino, I., Manfredi, G. and Cosenza, E. (2006), "Ground motion duration effects on nonlinear seismic response", Earthq. Eng. Struct. Dyn., 35(1), 21-38. https://doi.org/10.1002/eqe.529.
  29. Jalayer, F. (2003), "Direct probabilistic seismic analysis : implementing non-linear dynamic assessments", Stanford University.
  30. Kalkan, E. and Kunnath, S.K. (2007), "Effective cyclic energy as a measure of seismic demand", J. Earthq. Eng., 11(5), 725-751. https://doi.org/10.1080/13632460601033827.
  31. Kashani, M.M., Malaga-Chuquitaype, C., Yang, S. and Alexander, N.A. (2017), "Influence of non-stationary content of ground-motions on nonlinear dynamic response of RC bridge piers", Bull. Earthq. Eng., 15(9), 3897-3918. https://doi.org/10.1007/s10518-017-0116-8.
  32. Krawinkler, H. and Nassar, A. (1992), "Seismic design based on ductility and cumulative damage demands and capacities", Ed. E.A. Science, Nonlinear Seismic Analysis and Design of Reinforced Concrete Buildings, Bled, Slovenia.
  33. Kunnath, S.K. and Chai, Y.H. (2004), "Cumulative damage-based inelastic cyclic demand spectrum", Earthq. Eng. Struct. Dyn., 33(4), 499-520. https://doi.org/10.1002/eqe.363.
  34. Leelataviwat, S., Saewon, W. and Goel, S.C. (2009), "Application of energy balance concept in seismic evaluation of structures", J. Struct. Eng., 135, 113-121. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:2(113).
  35. Malhotra, P.K. (2002), "Cyclic-demand spectrum", Earthq. Eng. Struct. Dyn., 31(7), 1441-1457. https://doi.org/10.1002/eqe.171.
  36. Mollaioli, F. and Bosi, A. (2012), "Wavelet analysis for the characterization of forward-directivity pulse-like ground motions on energy basis", Meccanica, 47(1), 203-219. https://doi.org/10.1007/s11012-011-9433-1.
  37. Mollaioli, F., Bruno, S., Decanini, L. and Saragoni, R. (2011), "Correlations between energy and displacement demands for performance-based seismic engineering", Pure Appl. Geophys., 168(1-2), 237-259. https://doi.org/10.1007/s00024-010-0118-9.
  38. Ordaz, M., Singh, S.K., Lermo, J., Espinosa-Johnson, M. and Dominguez, T. (1988), "The Mexico Eartjquake of September 19, 1985: Estimation of REsponse dpectra in the lake bed zone of the valley of Mexico", Earthq. Spectra, 4(4), 815-834. https://doi.org/10.1193/1.1585504.
  39. Oyarzo-Vera, C. and Chouw, N. (2008), "Effect of earthquake duration and sequences of ground motions on structural responses", Proceedings of the 10th International Symposium on Structural Engineering for Young Experts.
  40. Pacific Earthquake Research Center (PEER) (2010), Guidelines for Performance- Based Seismic Design of Tall Buildings, Berkeley, CA.
  41. Quinde, P. (2019), "Study of seismic energy demands in the Valley of Mexico and its relationship with structural damage", Universidad Nacional Autonoma de Mexico. (in English and Spanish)
  42. Quinde, P., Reinoso, E. and Teran-Gilmore, A. (2016), "Inelastic seismic energy spectra for soft soils : Application to Mexico City", Soil Dyn. Earthq. Eng., 89, 198-207. https://doi.org/10.1016/j.soildyn.2016.08.004.
  43. Quiroz-Ramirez, A., Arroyo, D., Teran-Gilmore, A. and Ordaz, M. (2014), "Evaluation of the intensity measure approach in performance-based earthquake engineering with simulated ground motions", Bull. Seismol. Soc. Am., 104(2), 669-683. https://doi.org/10.1785/0120130115.
  44. Raghunandan, M. and Liel, A.B. (2013), "Effect of ground motion duration on earthquake-induced structural collapse", Struct. Saf., 41, 119-133. https://doi.org/10.1016/j.strusafe.2012.12.002.
  45. Reinoso, E. (2002). Scattering of Seismic Waves: Applications to the Mexico City Valley, WIT Press.
  46. Reinoso, E. and Ordaz, M. (1999), "Spectral ratios for Mexico City from free-field recordings", Earthq. Spectra, 15, 273-296. https://doi.org/10.1193/1.1586041.
  47. Sarieddine, M. and Lin, L. (2013), "Investigation correlations between strong-motion duration and structural damage", Structures Congress 2013, 2926-2936. https://doi.org/10.1061/9780784412848.255.
  48. Scribner, C.F. and Wight, J.K. (1980), "Strength decay in R/C beams under load reversals", ASCE J. Struct. Eng. Struct. Eng., 106, 861-876.
  49. Shinozuka, M., Feng, M., Lee, J. and Naganuma, T. (2000), "Statistical analysis of fragility curves", J. Eng. Mech., 126(12), 1224-1231. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:12(1224).
  50. Singh, S.K., Reinoso, E., Arroyo, D., Ordaz, M., Cruz-Atienza, V., Perez-Campos, X. ... & Hjorleifsdottir, V. (2018), "Deadly intraslab Mexico earthquake of 19 September 2017 (M w 7.1): Ground motion and damage pattern in Mexico City", Seismol. Res. Lett., 89(6), 2193-2203. https://doi.org/10.1785/0220180159.
  51. Takizawa, H. and Jennings, P. C. (1980), "Collapse of a model for ductile reinforced concrete frames under extreme earthquake motions", Earthq. Eng. Struct. Dyn., 8(2), 117-144. https://doi.org/10.1002/eqe.4290080204.
  52. Teran-Gilmore, A. and Jirsa, J. O. (2005), "A damage model for practical seismic design that accounts for low cycle fatigue", Earthq. Spectra, 21(3), 803-832. https://doi.org/10.1193/1.1979500.
  53. Vamvatsikos, D. and Cornell, C.A. (2002), "Incremental dynamic analysis", Earthq. Eng. Struct. Dyn.s, 31(3), 491-514. https://doi.org/10.1002/eqe.141.
  54. Vamvatsikos, D. and Cornell, C.A. (2004), "Applied incremental dynamic analysis", Earthq. Spectra, 20(2), 523-553. https://doi.org/10.1193/1.1737737.
  55. Villaverde, R. (2007), "Methods to assess the seismic collapse capacity of building structures: State of the art", J. Struct. Eng., 133(1), 57-66. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:1(57).

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