Steel and Composite Structures

  • 제39권3호
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  • Pages.243-259
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  • 2021
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

The accuracy of fragility curves of the steel moment-resisting frames and SDOF systems

  • Yaghmaei-Sabegh, Saman (Department of Civil Engineering, University of Tabriz) ;
  • Jafari, Ali (Department of Civil Engineering, University of Tabriz) ;
  • Eghbali, Mahdi (Department of Civil Engineering, Faculty of Engineering, University of Zanjan)
  • 투고 : 2019.06.08
  • 심사 : 2021.03.23
  • 발행 : 2021.05.10
⟨ 이전 논문 다음 논문 ⟩

초록

In the present paper, a Monte Carlo-based framework is developed to investigate the accuracy and reliability of analytical fragility curves of steel moment-resisting frames and simple SDOF systems. It is also studied how the effectiveness of incremental dynamic analysis (IDA) and multiple stripes analysis (MSA) approaches, as two common nonlinear dynamic analysis methods, are influenced by the number of records and analysis stripes in fragility curves producing. Results showed that the simple SDOF systems do not provide accurate and reliable fragility curves compared with realistic steel moment-resisting structures. It is demonstrated that, the effectiveness of nonlinear dynamic analysis approaches is dependent on the fundamental period of structures, where in short-period structures, IDA is found to be more effective approach compared with MSA. This difference between the effectiveness of two analysis approaches decreases as the fundamental period of structures become longer. Using of 2 or 3 analysis stripes in MSA approach leads to significant inaccuracy and unreliability in the estimated fragility curves. Additionally, 15 number of ground motion records is recommended as a threshold of significant unreliability in estimated fragility curves, constructed by MSA.

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참고문헌

  1. Adam, C. and Jager, C. (2012a), "Seismic collapse capacity of basic inelastic structures vulnerable to the P-delta effect", Earthq. Eng. Struct. D., 41(4), 775-793. https://doi.org/10.1002/eqe.1157.
  2. Adam, C., Ibarra, L.F. and Krawinkler, H. (2004), "Evaluation of P-Delta effects in non-deteriorating MDOF structures from equivalent SDOF systems", Proceedings of the 13th World Conference on Earthquake Engineering, Vancouver, B.C., Canada, August.
  3. 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.
  4. Baker, J.W. and Cornell, C.A. (2006), "Spectral shape, epsilon and record selection", Earthq. Eng. Struct. D., 35(9), 1077-1095. https://doi.org/10.1002/eqe.571.
  5. Baker, J.W. and Lee, C. (2017), "An improved algorithm for selecting ground motions to match a conditional spectrum", J. Earthq. Eng., 22(4), 1-16.https://doi.org/10.1080/13632469.2016.1264334.
  6. Boore, D.M. (2010), "Orientation-independent, nongeometricmean measures of seismic intensity from two horizontal components of motion", Bull. Seismol. Soc. Am., 100(4), 1830- 1835. https://doi.org/10.1785/0120090400.
  7. Bradley, B.A. and Dhakal, R.P. (2008), "Error estimation of closed-form solution for annual rate of structural collapse", Earthq. Eng. Struct. D., 37(15), 1721-1737. https://doi.org/10.1002/eqe.833.
  8. Bradley, B. (2013), "Practice-oriented estimation of the seismic demand hazard using ground motions at few intensity levels", Earthq. Eng. Struct. D., 42(14), 2167-2185. https://doi.org/10.1002/eqe.2319.
  9. CEN. Eurocode 3 (2005), Design of Steel Structures, Part 1.1: General rules and rules for buildings, European Committee for Standardization; Brussels, Belgium.
  10. CEN. Eurocode 8 (2004), Design of Structures for Earthquake Resistance, Part 1: General rules, seismic actions and rules for buildings, European Committee for standardization, Brussels, Belgium.
  11. Chiou, B., Darragh, R., Gregor, N. and Silva, W. (2008), "NGA project strong-motion database", Earthq. Spectra, 24(1), 23-44. https://doi.org/10.1193/1.2894831.
  12. Davani, M.R., Hatami, S. and Zare, A. (2016), "Performancebased evaluation of strap-braced cold-formed steel frames using incremental dynamic analysis", Steel Compos. Struct., 21(6), 1366-1388. http://dx.doi.org/10.12989/scs.2016.21.6.1369.
  13. Dolsek, M. (2011), "Estimation of seismic response parameters through extended incremental dynamic analysis", Comput. Method. Earthq. Eng. Comput. Method. Appl. Sci., 21. https://doi.org/10.1007/978-94-007-0053-6_13.
  14. 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. Dynam., 42(1), 25-41. https://doi.org/10.1002/eqe.2191.
  15. Efron, B. and Tibshirani, R.J. (1993), An Introduction to the Bootstrap, Chapman & Hall/CRC, New York, NY, USA.
  16. Elghazouli, A., Castro, J. and Izzuddin, B. (2008), "Seismic performance of composite moment resisting frames", Eng. Struct., 30(7), 1802-1819. https://doi.org/10.1016/j.engstruct.2007.12.004.
  17. Federal Emergency Management Agency (2009), Quantification of Building Seismic Performance Factors (FEMA P695, ATC-63). FEMA P695, prepared by the Applied Technology Council, Washington D.C., USA.
  18. Gehl, P., Douglas, J. and Seyedi, D.M. (2015), "Influence of the number of dynamic analyses on the accuracy of structural response estimates", Earthq. Spectra, 31(1), 97-113. https://doi.org/10.1193/102912EQS320M.
  19. Ghafory-Ashtiany, M., Mousavi, M. and Azarbakht, A. (2011), "Strong ground motion record selection for the reliable prediction of the mean seismic collapse capacity of a structure group", Earthq. Eng. Struct. D., 40(6), 691-708. https://doi.org/10.1002/eqe.1055.
  20. Haselton, C.B., Liel, A.B., Deierlein, G.G. and Dean, B.S. (2010), "Seismic collapse safety of reinforced concrete buildings", J. Struct. Eng., 137(4), 481-491. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000318.
  21. Ibarra, L.F. and Krawinkler, H. (2005), "Global collapse of frame structures under seismic excitations", John A. Blume Earthquake Engineering Center, Stanford, CA, 324.
  22. Iervolino, I., Manfredi, G. and Cosenza, E. (2006), "Ground motion duration effects on nonlinear seismic response", Earthq. Eng. Struct. D., 35(1), 21-38. https://doi.org/10.1002/eqe.529.
  23. Jalayer, F. (2003), "Direct probabilistic seismic analysis: Implementing non-linear dynamic assessments", Ph.D. Dissertation, Dept. of Civil and Environmental Engineering, Stanford University, Stanford, CA.
  24. Jalayer, F. and Cornell, C.A. (2009), "Alternative nonlinear demand estimation methods for probability-based seismic assessments", Earthq. Eng. Struct. D., 38(8), 951-972. https://doi.org/10.1002/eqe.876.
  25. Jayaram, N., Lin, T. and Baker, J.W. (2011), "A computationally efficient ground-motion selection algorithm for matching a target response spectrum mean and variance", Earthq. Spectra, 27 (3), 797-815. https://doi.org/10.1193/1.3608002.
  26. Kafali, C. and Grigoriu, M. (2007), "Seismic fragility analysis: application to simple linear and nonlinear systems", Earthq. Eng. Struct. D., 36(13), 1885-1900. https://doi.org/10.1002/eqe.726.
  27. Kia, M. and Banazadeh, M. (2016), "Closed-form fragility analysis of the steel moment resisting frames", Steel Compos. Struct., 21(1), 93-107. http://dx.doi.org/10.12989/scs.2016.21.1.093.
  28. Kiani, A, Mansouri, B. and Moghadam A.S. (2016), "Fragility curves for typical steel frames with semi-rigid saddle connections", J. Constr. Steel Res., 118, 231-242. https://doi.org/10.1016/j.jcsr.2015.11.001.
  29. Kumar, M., Stafford, P. and Elghazouli, A. (2013), "Seismic shear demands in multi-story steel frames designed to Eurocode 8", Eng. Struct., 52, 69-87. https://doi.org/10.1016/j.engstruct.2013.02.004.
  30. Liel, A.B., Haselton, C.B., Deierlein, G.G. and Baker, J.W. (2009), "Incorporating modeling uncertainties in the assessment of seismic collapse risk of buildings", Struct. Saf., 31(2), 197-211. https://doi.org/10.1016/j.strusafe.2008.06.002.
  31. MacRae, G. (1994), "P-delta effects on single-degree-of-freedom structures in earthquakes", Earthq. Spectra, 10(3), 539-568. https://doi.org/10.1193/1.1585788.
  32. Michel, C., Crowley, H., Hannewald, P., Lestuzzi, P. and Fah, D. (2018), "Deriving fragility functions from bilinearizedcapacity curves for earthquake scenario modelling using the conditional spectrum", Bull. Earthq. Eng., 16(10), 4639-4660. https://doi.org/10.1007/s10518-018-0371-3.
  33. Mirtaheri, M., Amini, M. and Khorshidi, H. (2017), "Incremental dynamic analyses of concrete buildings reinforced with shape memory alloy", Steel Compos. Struct., 23(1), 95-105. http://dx.doi.org/10.12989/scs.2017.23.1.095.
  34. NIBS (2004), HAZUS-MH: User's Manual and Technical Manuals, Federal Emergency Management Agency; Washington D.C., USA.
  35. OpenSees (2013), Version 2.5.0, http://opensees.berkeley.edu/index.php.
  36. Porter, K., Kennedy, R. and Bachman, R. (2007), "Creating fragility functions for performance-based earthquake engineering", Earthq. Spectra, 23(2), 471-489.https://doi.org/10.1193/1.2720892.
  37. Radu, A. and Grigoriu, M. (2018), "An earthquake-source-based metric for seismic fragility analysis", Bull. Earthq. Eng., 16(9), 3771-3789. https://doi.org/10.1007/s10518-018-0341-9.
  38. Rice, J.A. (1995), Mathematical Statistics and Data Analysis. Duxbury Press, Belmont, CA, USA.
  39. Ryu, H., Luco, N., Uma, S.R. and Liel, A.B. (2011), "Developing fragilities for mainshock-damaged structures through incremental dynamic analysis", Proceedings of the 9th Pacific Conference on Earthquake Engineering, Auckland, New Zealand, April.
  40. Saez, E., Lopez-Caballero, F. and Modaressi-Farahmand-Razavi, A. (2011), "Effect of the inelastic dynamic soil-structure interaction on the seismic vulnerability assessment", Struct. Saf., 33(1), 51-63. https://doi.org/10.1016/j.strusafe.2010.05.004.
  41. Shafei, B., Zareian, F. and Lignos, D.G. (2011), "A simplified method for collapse capacity assessment of moment-resisting frame and shear wall structural systems", Eng. Struct., 33(4), 1107-1116. https://doi.org/10.1016/j.engstruct.2010.12.028.
  42. Shinozuka, M., Feng, M.Q., 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).
  43. Silva, V., Akkar, S., Baker J., Bazzurro, P., Castro, J.M., Crowley, H., Dolsek, M., Galasso, C., Lagomarsino, S., Monteiro, R., Perrone, D., Pitilakis, K. and Vamvatsikos, D. (2019), "Current Challenges and Future Trends in Analytical Fragility and Vulnerability Modelling", Earthq. Spectra, In-Press. https://doi.org/10.1193/042418EQS101O.
  44. Shome, N. and Cornell, C.A. (1999), "Probabilistic Seismic Demand Analysis of Nonlinear Structures", Reliability of Marine Structures Program Technical Report RMS-35; Stanford Digital Repository. http://purl.stanford.edu/qp089qb1141
  45. Straub, D. and Der Kiureghian, A. (2008), "Improved seismic fragility modeling from empirical data", Struct. Saf., 30(4), 320-336. https://doi.org/10.1016/j.strusafe.2007.05.004.
  46. Tian, L., Pan, H. and Ma, R. (2019), "Probabilistic seismic demand model and fragility analysis of transmission tower subjected to near-field ground motions", J. Constr.l Steel Res., 156, 266-275. https://doi.org/10.1016/j.jcsr.2019.02.011.
  47. Towashiraporn, P. (2004), "Building seismic fragilities using response surface metamodels", Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Georgia Institute of Technology, Georgia, GA, USA.
  48. Tothong, P. and Luco, N. (2007), "Probabilistic seismic demand analysis using advanced ground motion intensity measures", Earthq. Eng. Struct. D., 36(13), 1837-1860. https://doi.org/10.1002/eqe.696.
  49. Tsantaki, S., Adam, C., Ibarra, L., F. (2015), "Effect of P-delta uncertainty on the seismic collapse capacity and its variability of single-degree-of freedom systems", Bull. Earthq. Eng., 13(4), 1205-1225. https://doi.org/10.1007/s10518-014-9687-9.
  50. Unnikrishnan, V., Prasad, A. and Rao, B. (2013), "Development of fragility curves using high-dimensional model representation", Earthq. Eng. Struct. D., 42(3), 419-430. https://doi.org/10.1002/eqe.2214.
  51. Vamvatsikos, D., and Cornell, C. A. (2002), "Direct estimation of the seismic demand and capacity of MDOF systems through incremental dynamic analysis of an SDOF approximation", Proceedings of the 5th European Conference on Structural Dynamics, EURODYN, European Association for Structural Dynamics, Munich, Germany, September.
  52. Vamvatsikos, D. and Cornell, C.A. (2002), "Incremental dynamic analysis", Earthq. Eng. Struct. D., 31(3), 491-514. https://doi.org/10.1002/eqe.141.