Structural Engineering and Mechanics

  • 제42권5호
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  • Pages.631-644
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  • 2012
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Ductility and inelastic deformation demands of structures

  • 투고 : 2011.07.08
  • 심사 : 2012.04.24
  • 발행 : 2012.06.10
⟨ 이전 논문 다음 논문 ⟩

초록

Current seismic codes require from the seismically designed structures to be capable to withstand inelastic deformation. Many studies dealt with the development of different inelastic spectra with the aim to simplify the evaluation of inelastic deformation and performance of structures. Recently, the concept of inelastic spectra has been adopted in the global scheme of the performance-based seismic design through capacity-spectrum methods. In this paper, the median of the ductility demand ratio for 80 ground motions are presented for different levels of normalized yield strength, defined as the yield strength coefficient divided by the peak ground acceleration (PGA). The influence of the post-to-preyield stiffness ratio on the ductility demand is investigated. For fixed levels of normalized yield strength, the median ductility versus period plots demonstrated that they are independent of the earthquake magnitude and epicentral distance. Determined by regression analysis of the data, two design equations have been developed; one for the ductility demand as function of period, post-to-preyield stiffness ratio, and normalized yield strength, and the other for the inelastic deformation as function of period and peak ground acceleration valid for periods longer than 0.6 seconds. The equations are useful in estimating the ductility and inelastic deformation demands for structures in the preliminary design. It was found that the post-to-preyield stiffness has a negligible effect on the ductility factor if the yield strength coefficient is greater than the PGA of the design ground motion normalized by gravity.

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참고문헌

  1. Applied Technology Council (1996), "Seismic evaluation and retrofit of concrete buildings", Report ATC 40.
  2. Baber, T.T. and Noori, M.N. (1984), "Random vibration of pinching hysteretic systems", J. Eng. Mech., 110(7), 1036-1049. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:7(1036)
  3. Bertero, V.V. (1995), "Tri-service manual methods, in Vision 2000", Part 2, Appendix J, Structural Engineers Association of California, Sacramento.
  4. Bozorgnia, Y., Mahmoud, M.H. and Kenneth, W.C. (2010), "Deterministic and probabilistic predictions of yield strength and inelastic displacement spectra", Earthq. Spectra, 26(1), 25-40. https://doi.org/10.1193/1.3281659
  5. Chopra, A.K. and Chatpan, C. (2003), "Inelastic deformation ratios for design and evaluation of structures: single-degree-of-freedom bilinear systems", Report No. 2003/09, Earthquake Engineering Research Center, University of California, Berkeley, California.
  6. Chopra, A.K. and Chatpan, C. (2004), "Inelastic deformation ratios for design and evaluation of structures: single-degree-of-freedom bilinear systems", J. Struct. Eng., 130(9), 1309-1319. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1309)
  7. Chopra, A.K. and Goel, R.K. (1999), "Capacity-demand-diagrams based on inelastic design spectrum", Earthq. Spectra, 15(4), 637-656. https://doi.org/10.1193/1.1586065
  8. Datafit version 9.0.59, Curve fitting software, Oakdale Engineering, PA, USA.
  9. Elnashai, A.S. (2001), "Advanced inelastic static (Pushover) analysis for earthquake applications", J. Struct. Eng. Mech., 12(1), 51-69. https://doi.org/10.12989/sem.2001.12.1.051
  10. Fajfar, P. (1999), "Capacity spectrum method based on inelastic demand spectra", Earthq. Eng. Struct. D., 28(9), 979-993. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<979::AID-EQE850>3.0.CO;2-1
  11. Foliente, G.C. (1995), "Hysteresis modeling of wood joints and structural systems", J. Struct. Eng., 121(6), 1013- 1022. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:6(1013)
  12. Freeman, S.A. Nicoletti, J.P. and Tyrell, J.V. (1975), "Evaluation of existing buildings for seismic risk-a case study of Puget Sound Naval Shipyard, Bremerton, Washington", Proceedings of 1st U.S. National Conference on Earthquake Engineering, Earthquake Engineering Research Institute, Berkeley.
  13. Goda, K. and Atkinson, G.M. (2009), "Seismic demand estimation of inelastic SDOF systems for earthquakes in Japan", Bull. Soc. Seismol. Am., 99(6), 3284-3299. https://doi.org/10.1785/0120090107
  14. Gulkan, P. and Sozen, M. (1974), "Inelastic response of reinforced concrete structures to earthquake motions", ACI J., 71(12), 604-610.
  15. Ibarra, L.F. (2003), "Global collapses of frame structures under seismic excitations", Ph.D. Thesis, Department of Civil and Environmental Engineering, Stanford University, Stanford, California.
  16. Iwan, W.D. (1980), "Estimating inelastic spectra from elastic spectra", Earthq. Eng. Struct. D., 8(4), 375-388. https://doi.org/10.1002/eqe.4290080407
  17. Kowalsky, M.J. (1994), "Displacement-based design-a methodology for seismic design applied to RC bridge columns", Master's Thesis, University of California at San Diego, La Jolla, California.
  18. Krawinkler, H. and Nassar, A. (1990), "Strength and ductility demands for SDOF and MDOF systems to Whittier narrows earthquake ground motions", Proceedings of the Seminar on Seismological and Engineering Implications of Recent Strong-Motion Data, SMIP, Sacramento.
  19. Mahin, S.A. and Lin, J. (1983), "Construction of inelastic response spectra for single-degree-of-freedom systems. Computer program and applications", Report No. UCB/EERC-83/17, University of California, Berkeley.
  20. Miranda, E. (1992), "Nonlinear response spectra for earthquake resistant design", Proceedings of the Tenth World Conference on Earthquake Engineering, Balkema, Rotterdam.
  21. Miranda, E. (1993), "Probabilistic site-dependent non-linear spectra", Earthq. Eng. Struct. D., 22(12), 1031-1046. https://doi.org/10.1002/eqe.4290221203
  22. Miranda, E. (2000), "Inelastic displacement ratios for structures on firm sites", J. Struct. Eng., 126(10), 1150- 1159. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1150)
  23. Miranda, E. (2001), "Estimation of inelastic deformation demands of SDOF systems", J. Struct. Eng., 127(9), 1005-1012. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:9(1005)
  24. Nassar, A. and Krawinkler, H. (1991), "Seismic demands for SDOF and MDOF systems", John A. Blume Earthquake Engineering Center, Report 95, Dept. of Civil Engineering, Stanford University.
  25. Newmark, N.M. and Hall, W.J. (1973), "Procedures and criteria for earthquake resistant design", Building Sci. Series No. 46, National Bureau of Standards, U.S. Dept. of Commerce, Washington, D.C.
  26. Newmark, N.M. and Hall, W.J. (1982), "Earthquake spectra and design", Earthquake Engineering Research Institute, Berkeley, California.
  27. PEER Strong Motion Database (2011), http://peer.berkeley.edu/smcat.
  28. Reinhorn, A.M. (1997), "Inelastic analysis techniques in seismic evaluations", Eds. P. Fajfar and H. Krawinkler, Seismic Design Methodologies for the Next Generation of Codes, Balkema, Rotterdam.
  29. Riddell, R., Hidalgo, P. and Cruz, E. (1989), "Response modification factors for earthquake resistant design of short period structures", Earthq. Spectra, 5(3), 571-590. https://doi.org/10.1193/1.1585541
  30. Rosenblueth, E. and Herrera, I. (1964), "On a kind of hysteretic damping", J. Eng. Mech., 90(4), 37-48.
  31. Ruiz-Garcia, J. and Miranda, E. (2003), "Inelastic displacement ratios for evaluation of existing structures", Earthq. Eng. Struct. D., 32(8), 1237-1258. https://doi.org/10.1002/eqe.271
  32. Shih-Sheng, P.L. and John, M.B. (1980), "Inelastic response spectra for aseismic building design", J. Struct. Div.- ASCE, 106(6), 1295-1310.
  33. Sinan, D.A. and Miranda, E. (2005), "Statistical evaluation of approximate methods for estimating maximum deformation demands on existing structures", J. Struct. Eng., 131(1), 160-172. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:1(160)
  34. Vamvatsikos, D. and Cornell, C.A. (2006), "Direct estimation of the seismic demand and capacity of oscillators with multi-linear static pushovers through IDA", Earthq. Eng. Struct. D., 35(9), 1097-1117. https://doi.org/10.1002/eqe.573
  35. Wen, Y.K. (1976), "Method for random vibration of hysteretic systems", J. Eng. Mech., 102(2), 249-263.

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