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Energy-based numerical evaluation for seismic performance of a high-rise steel building

  • Zhang, H.D. (School of Civil Engineering, Tianjin Institute of Urban Construction) ;
  • Wang, Y.F. (School of Civil Engineering, Beijing Jiaotong University)
  • Received : 2011.10.17
  • Accepted : 2012.07.24
  • Published : 2012.12.25

Abstract

As an alternative to current conventional force-based assessment methods, the energy-based seismic performance of a code-designed 20-storey high-rise steel building is evaluated in this paper. Using 3D nonlinear dynamic time-history method with consideration of additional material damping effect, the influences of different restoring force models and P-${\Delta}/{\delta}$ effects on energy components are investigated. By combining equivalent viscous damping and hysteretic damping ratios of the structure subjected to strong ground motions, a new damping model, which is amplitude-dependent, is discussed in detail. According to the analytical results, all energy components are affected to various extents by P-${\Delta}/{\delta}$ effects and a difference of less than 10% is observed; the energy values of the structure without consideration of P-${\Delta}/{\delta}$ effects are larger, while the restoring force models have a minor effect on seismic input energy with a difference of less than 5%, but they have a certain effect on both viscous damping energy and hysteretic energy with a difference of about 5~15%. The paper shows that the use of the hysteretic energy at its ultimate state as a seismic design parameter has more advantages than seismic input energy since it presents a more stable value. The total damping ratio of a structure consists of viscous damping ratio and hysteretic damping ratio and it is found that the equivalent viscous damping ratio is a constant for the structure, while the equivalent hysteretic damping ratio approximately increases linearly with structural response in elasto-plastic stage.

Keywords

Acknowledgement

Supported by : National Science Foundation of China

References

  1. Akiyama, H. (1985), Earthquake-resistant limit-state design for buildings, The University of Tokyo Press, Tokyo.
  2. Akiyama, H. (2010), Earthquake-resistant design method for buildings based on energy balance, Tsinghua University Press,Beijing, China. (In Chinese)
  3. Aschheim, M. and Montes, E.H. (2003), "The representation of P-${\Delta}$ effects using yield point spectra", Eng. Struct., 25(11),1387-1396 https://doi.org/10.1016/S0141-0296(03)00106-8
  4. Bojorquez, E., Reyes-Salazar, A., Teran-Gilmore, A. and Ruiz, S.E. (2010), "Energy-based damage index for steel structures", Steel and Composite Structure, 10(4), 343-360
  5. Bojorquez, E., Ruiz, S.E. and Teran-Gilmore, A. (2008), "Reliability-based evaluation of steel structures using energy concepts", Eng. Struct., 30(6), 1745-1759 https://doi.org/10.1016/j.engstruct.2007.11.014
  6. Bruneau, M. and Wang, N. (1996), "Some aspects of energy methods for the inelastic seismic response of ductile SDOF structures", Eng. Struct., 18(1), 1-12 https://doi.org/10.1016/0141-0296(95)00099-X
  7. Charney, F.A. (2008), "Unintended consequences of modeling damping in structures", J. Struct. Eng., ASCE, 134 (4), 581-592 https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(581)
  8. Charney, F.A. and McNamara, R.J. (2008), "A method for computing equivalent viscous damping ratio for structures with added viscous damping", J. Struct. Eng., ASCE, 134(1), 32-44 https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(32)
  9. Chen, S.J. and Wang, W.C. (1999), "Moment amplification factor for P-${\delta}$ effect of steel beam-column", J. Struct. Eng., ASCE, 125(2), 219-223 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:2(219)
  10. Choi, H.H and Kim, J.K. (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/10.1016/j.engstruct.2008.07.017
  11. Chopra, A.K. (1995), Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall Inc., New Jersey
  12. Chopra, A.K.and Goel, R.K. (2002), "A modal pushover analysis procedure for estimating seismic demands for buildings", Earthquake Engineering & Structural Dynamics, 31(3), 561-582 https://doi.org/10.1002/eqe.144
  13. Chou, C.C. and Uang, C.M. (2003), "A procedure for evaluating seismic energy demand of framed structures", Earthquake Engineering & Structural Dynamics, 32(2), 229-244 https://doi.org/10.1002/eqe.221
  14. Computer & Structure, INC. (2006), "Perform 3D User Guide: Nonlinear Analysis and Performance Assessment for 3D Structures", Berkeley, California.
  15. Decanini, L.D. and Mollaioli, F. (2001), "An energy-based methodology for the seismic assessment of seismic demand", Soil Dynamics and Earthquake Engineering, 21(2), 113-137. https://doi.org/10.1016/S0267-7261(00)00102-0
  16. Estes, K.R. and Anderson, J.C. (2002),"Hysteretic energy demands in multistory buildings", Seventh U.S. National Conference on Earthquake Engineering, Boston, July.
  17. Fajfar, P and Fischinger, M. (1990), "A seismic procedure including energy concept", Proceedings of IX ECEE, Moscow, September.
  18. Fajfar, P. and Gaspersiec, P. (1996), "The N2 method for the seismic damage analysis of RC buildings", Earthq. Eng. Struct. Dyn., 25(1), 31-46. https://doi.org/10.1002/(SICI)1096-9845(199601)25:1<31::AID-EQE534>3.0.CO;2-V
  19. Fajfar, P. and Vidic, T. (1994), "Consistent inelastic design spectra: hysteretic and input energy", Earthq. Eng. Struct. Dyn., 23(5), 523-537. https://doi.org/10.1002/eqe.4290230505
  20. Fajfar, P., Vidic, T. and Fischinger, M. (1989),"Seismic demand in medium- and long-period structures", Earthq. Eng. Struct. Dyn., 18(8), 1133-1144. https://doi.org/10.1002/eqe.4290180805
  21. FEMA. (2009a), Effects of strength and stiffness degradation on seismic response, FEMA Report 440a, Washington, D.C.
  22. FEMA. (2009b), Quantification of building seismic performance factors, FEMA Report P695, Washington, D.C.
  23. FEMA. (2000), Pre-standard and commentary for the seismic rehabilitation of buildings, FEMA Report 356, Washington, D.C.
  24. Gaetano, M. (2001), "Evaluation of seismic energy demand", Earthq. Eng. Struct. Dyn., 30(4), 485-499. https://doi.org/10.1002/eqe.17
  25. Jawahar, M.T. and James, M.N. (1987), "Inelastic modeling and seismic energy dissipation", J. Struct. Eng., ASCE, 113(6), 1373-1377. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:6(1373)
  26. Leelataviwat, S., Goel, S.C. and Stojadinovi, B. (2002), "Energy-based seismic design of structure using yield mechanism and target drift", J. Struct. Eng., ASCE, 128(8), 1046-1054. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:8(1046)
  27. Nassar, A. and Krawinkler, H. (1991), "Seismic Demands for SDOF and MDOF systems", Report No. 95, The John A. Blume Earthquake Engineering Center, Stanford University.
  28. NIST. (2010), "Nonlinear Structural Analysis For Seismic Design: A Guide for Practicing Engineers", NIST GCR 10-917-5, Prepared for U.S. Department of Commerce Building and Fire Research Laboratory National Institute of Standards and Technology, Gaithersburg, MD.
  29. PEER/ATC. (2010), Modeling and Acceptance Criteria for Seismic Design and Analysis of Tall Buildings. PEER/ATC 72-1 Report, Applied Technology Council, Redwood City, CA.
  30. Prasanth, T., Ghosh, S. and Collins, K.R. (2008), "Estimation of hysteretic energy demand using concepts of modal pushover analysis", Earthquake Engineering & Structural Dynamics, 37(6), 975-990. https://doi.org/10.1002/eqe.802
  31. Reyes-Salazar, A. and Haldar, A. (2001), "Seismic Response and Energy Dissipation in Partially Restrained and Fully Restrained Steel Frames: An Analytical Study", Steel and Composite Structures, 1(4), 459-480. https://doi.org/10.12989/scs.2001.1.4.459
  32. Safac, E. (2000), "Characterization of seismic hazard and structural response by energy flux", Soil Dynamics and Earthquake Engineering, 20(1-4), 39-43. https://doi.org/10.1016/S0267-7261(00)00036-1
  33. Shen, J. and Akbas, B. (1999), "Seismic energy demand in steel moment frames", J. Earthq. Eng., 3(4), 519-559.
  34. Somerville, P., Smith, H., Puriyamurthala, S. and Sun, J. (1997), "Development of ground motion time histories for phase 2 of the FEMA/SAC steel project", SAC Joint Venture, SAC/BD-97/04.
  35. 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
  36. Williamson, E.B. (2003), "Evaluation of damage and P-${\Delta}$ effects for systems under earthquake excitation", J. Struct. Eng., ASCE, 129(8), 1036-1046. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:8(1036)
  37. Zahrah, T.F. and Hall, W.J. (1984), "Earthquake energy absorption in SDOF structures", J. Struct. Eng., ASCE, 110(8), 1757-1772. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:8(1757)

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