Ductility demand of partially self-centering structures under seismic loading: SDOF systems

  • Hu, Xiaobin (School of Civil Engineering and Architecture, Wuhan University) ;
  • Zhang, Yunfeng (Department of Civil and Environmental Engineering, University of Maryland)
  • Received : 2011.03.23
  • Accepted : 2012.07.30
  • Published : 2013.04.25


In this paper, a numerical simulation study was conducted on the seismic behavior and ductility demand of single-degree-of-freedom (SDOF) systems with partially self-centering hysteresis. Unlike fully self-centering systems, partially self-centering systems display noticeable residual displacement after unloading is completed. Such partially self-centering behavior has been observed in a number of recently researched self-centering structural systems with energy dissipation devices. It is thus of interest to examine the seismic performance such as ductility demand of partially self-centering systems. In this study, a modified flag-shaped hysteresis model with residual displacement is proposed to represent the hysteretic behavior of partially self-centering structural systems. A parametric study considering the effect of variations in post-yield stiffness ratio, energy dissipation coefficient, and residual displacement ratio on the displacement ductility demand of partially self-centering systems was conducted using a suite of 192 scaled ground motions. The results of this parametric study reveal that increasing the post-yield stiffness, energy dissipation coefficient or residual displacement ratio of the partially self-centering systems generally leads to reduced ductility demand, especially for systems with lower yield strength.


  1. Adam, C., Ibarra, L.F. and Krawinkler, H. (2004), "Evaluation of p-delta effects in non-deteriorating MDOF structures from equivalent SDOF systems", Proc. 13th World Conference on Earthquake Engineering, Vancouver, B.C., Canada.
  2. Cardone, D., Di Cesare, A., Ponzo, F.C. and Blonna, B. (2008), "Evaluation of behavior factor for flag-shaped hysteretic model", Proc. International Conference on Engineering Optimization, Rio de Janeiro, Brazil.
  3. Christopoulos, C., Filiatrault, A. and Folz, B. (2002a), "Seismic response of self-centering hysteretic SDOF systems", Earthq. Eng. Struct. D., 31, 1131-1150.
  4. Christopoulos, C., Filiatrault, A., Folz, B. and Uang, C.M. (2002b), "Post-tensioned energy dissipating connections for moment-resisting steel frames", ASCE J. Struct. Eng., 128(9), 1111-1120.
  5. Christopoulos, C. and Pampanin, S. (2004), "Towards performance-based seismic design of MDOF structures with explicit consideration of residual deformations", ISET J. Earthq. Technol., 41(1), 53-73.
  6. Desroches, R. and Smith, B. (2004), "Shape memory alloys in seismic resistant design and retrofit: a critical review of their potential and limitations", J. Earthq. Eng., 8(3), 415-429.
  7. Dolce, M., Cardone, D. and Marnetto, R. (2000), "Implementation and testing of passive control devices based on shape memory alloys", Earthq. Eng. Struct. D., 29(7), 945-968.<945::AID-EQE958>3.0.CO;2-#
  8. Dolce, M., Cardone, D., Ponzo, F.C. and Valente, C. (2005), "Shaking table tests on reinforced concrete frames without and with passive control systems", Earthq. Eng. Struct. D., 34(14), 1687-1717.
  9. Kurama, Y., Sause, R., Pessiki, S. and Lu, L.W. (1999), "Lateral load behavior and seismic design of unbonded post-tensioned precast concrete walls", ACI Struct. J., 96(4), 622-632.
  10. Kam, W.Y., Pampanin, S., Palermo, A. and Carr, A.J. (2010), "Self-centering structural systems with combination of hysteretic and viscous energy dissipations", Earthq. Eng. Struct. D., 39(10), 1083-1108.
  11. Kurama, Y.C. (2001), "Simplified seismic design approach for friction-damped unbonded post-tensioned precast concrete walls", ACI Struct. J., 98(5), 705-716.
  12. Mahin, S., Sakai, J. and Jeong, H. (2006), "Use of partially prestressed reinforced concrete columns to reduce post-earthquake residual displacements of bridges", Proc., 5th National Seismic Conf. on Bridges & Highways, San Francisco.
  13. Miller, D.J., Fahnestock, L.A. and Eartherton, M.R. (2011), "Self-centering buckling-restrained braces for advanced seismic performance", ASCE Struct. Congress, Las Vegas, Nevada.
  14. Pampanin, S., Christopoulos, C. and Priestley, M.J.N. (2003), "Performance-based seismic response of frame structures including residual deformations. Part II: multi-degree of freedom systems", J. Earthq. Eng., 7(1), 119-147.
  15. Ricles, J.M., Sause, R., Garlock, M.M. and Zhao, C. (2001), "Posttensioned seismicresistant connections for steel frames", J. Struct. Eng., 127(2), 113-121.
  16. Rodgers, G.W., Chase, J.G., Mander, J.B., Dhakal, R.P. and Solberg, K.M. (2007), "DAD post-tensioned concrete connections with lead dampers: analytical models and experimental validation", Proc. 8th Pacific Conference on Earthquake Engineering (8PCEE).
  17. Ruiz-Garcia, J. and Miranda, E. (2006a), "Evaluation of residual drift demands in regular multi-storey frames for performance-based seismic assessment", Earthq. Eng. Struct. D., 35(13), 1609-1629.
  18. Ruiz-Garcia, J. and Miranda, E. (2006b), "Residual displacement ratios for assessment of existing structures", Earthq. Eng. Struct. D., 35(3), 315-336.
  19. Seo, C.Y. and Sause, R. (2005), "Ductility demands on self-centering systems under earthquake loading", ACI Struct. J., 102(2), 275-285.
  20. Somerville, P. and Collins, N. (2002), Ground motion time histories for the Van Nuys building, URS Corporation.
  21. Song, G., Ma, N. and Li, H.N. (2006), "Applications of shape memory alloys in civil structures", Eng. Struct., 28(9), 1266-1274.
  22. Tremblay, R., Christopoulos, C., Erochko, J. and Kim, H. (2010), "Experimental validations and design of self-centering energy dissipative (SCED) bracing systems", Proc. 9th U.S. National and 10th Canadian Conference on Earthquake Engineering, Toronto, Canada.
  23. Veletsos, A.S. and Newmark, N.M. (1960), "Effect of inelastic behavior on the response of simple systems to earthquake motions", Proceedings of the Second World Conference on Earthquake Engineering, 2, 895-912.
  24. Wolski, M., Ricles, J.M. and Sause, R. (2009), "Experimental study of a self-centering beam-column connection with bottom flange friction device", J. Struct. Eng., 135(5), 479-448.
  25. Zhu, S. and Zhang, Y. (2008), "Seismic analysis of concentrically braced frame systems with self-centering friction damping braces", ASCE J. Struct. Eng., 134(1), 121-131.

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