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Shaking table tests of structures with hysteretic dampers: experimental results versus prediction using non-linear static methods


The use of seismic hysteretic dampers for passive control is increasing exponentially in recent years for both new and existing buildings. In order to utilize hysteretic dampers within a structural system, it is of paramount importance to have simplified design procedures based upon knowledge gained from theoretical studies and validated with experimental results. Non-linear Static Procedures (NSPs) are presented as an alternative to the force-based methods more common nowadays. The application of NSPs to conventional structures has been well established; yet there is a lack of experimental information on how NSPs apply to systems with hysteretic dampers. In this research, several shaking table tests were conducted on two single bay and single story 1:2 scale structures with and without hysteretic dampers. The maximum response of the structure with dampers in terms of lateral displacement and base shear obtained from the tests was compared with the prediction provided by three well-known NSPs: (1) the improved version of the Capacity Spectrum Method (CSM) from FEMA 440; (2) the improved version of the Displacement Coefficient Method (DCM) from FEMA 440; and (3) the N2 Method implemented in Eurocode 8. In general, the improved version of the DCM and N2 methods are found to provide acceptable accuracy in prediction, but the CSM tends to underestimate the response.

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  • Applied Technology Council, A (1996) ATC-40. Seismic evaluation and retrofit of concrete buildings, Redwood City

  • Benavent-Climent A (2011) An energy-based method for seismic retrofit of existing frames using hysteretic dampers. Soil Dyn Earthq Eng 31: 1385–1396

    Article  Google Scholar 

  • Benavent-Climent A, Pujades LG, Lopez-Almansa F (2002) Design energy input spectra for moderate- seismicity regions. Earthq Eng Struct Dyn 31: 1151–1172

    Article  Google Scholar 

  • Benavent-Climent A, Morillas L, Vico JM (2011) A study on using wide-flange section web under out-of-plane flexure for passive energy dissipation. Earthq Eng Struct Dyn 40: 473–490. doi:10.1002/eqe.1031

    Article  Google Scholar 

  • BSL (2009) The building standard law of Japan, Tokyo: the building center of Japan. English version on CD available at

  • Bosco M, Ghersi A, Marino EM (2009) On the evaluation of seismic response of structures by nonlinear static methods. Earthq Eng Struct Dyn 38(13): 1465–1482. doi:10.1002/eqe.911

    Article  Google Scholar 

  • Cardone D (2007) Nonlinear static methods vs. experimental shaking table test results. J Earthq Eng 11(6): 847–875 Available from: ISI:000251628100002

    Article  Google Scholar 

  • Causevic M, Mitrovic S (2010) Comparison between non-linear dynamic and static seismic analysis of structures according to European and US provisions. Bull Earthq Eng 1–23. doi:10.1007/s10518-010-9199-1

  • Cosenza E, Manfredi G (1997) The improvement of the seismic-resistant design for existing and new structures using damage criteria. In: Fajfar P, Krawinkler H (eds) Seismic design methodologies for the next generation of codes. Balkema, Rotterdam, pp 119–130

    Google Scholar 

  • European Committee for Standarization C (2002) Eurocode 8—design provisions for earthquake resistance of structures, Brussels

  • Fajfar P (2000) A nonlinear analysis method for performance based design. Eartq Spectr 16(3): 573–592

    Article  Google Scholar 

  • Fajfar P, Gaspersic P (1996) The N2 method for the seismic damage analysis of RC buildings. Earthq Eng Struct Dyn 25(1): 31–46 Available from: ISI:A1996TN69700003

    Article  Google Scholar 

  • Federal Emergency Management Agency (FEMA) (1997) NHERP guidelines for the seismic rehabilitation of buildings. FEMA-273: Provisions. FEMA-274: Commentary. Federal Emergency Management Agency, Washington

  • Federal Emergency Management Agency (FEMA) (2000) FEMA-356. Prestandard and Commentary for Seismic Rehabilitation of Buildings. Federal Emergency Management Agency, Washington

  • Federal Emergency Management Agency (FEMA) (2005) FEMA 440, Improvement of Nonlinear Static Seismic Analysis Procedures. Washington

  • Fragiacomo M, Amadio C, Rajgelj S (2006) Evaluation of the structural response under seismic actions using non-linear static methods. Earthq Eng Struct Dyn 35(12): 1511–1531

    Article  Google Scholar 

  • Freeman S (1988) The capacity spectrum method as a tool for seismic design, In: Proceedings of the 11th European conference on earthquake engineering, Paris

  • Krawinkler H, Seneviratna GDPK (1998) Pros and cons of a pushover analysis of seismic performance evaluation. Eng Struct 20(4–6): 452–464

    Article  Google Scholar 

  • Lin YY, Chang KC, Wang YL (2004) Comparison of displacement coefficient method and capacity spectrum method with experimental results of RC columns. Earthq Eng Struct Dyn 33(1): 35–48 Available from: ISI:000187863700003

    Article  Google Scholar 

  • Maekawa K, Pimanmas A, Okamura H (2003) Nonlinear mechanics of reinforced concrete. Taylor & Francis, London

  • Manfredi G, Polese M, Cosenza E (2003) Cumulative demand of the earthquake ground motions in the near source. Earthq Eng Struct Dyn 32: 1853–1865

    Article  Google Scholar 

  • Simon K, D’Amore E (1999) Push-over analysis procedure in earthquake engineering. Earthq Spectr 15(3): 417–434

    Article  Google Scholar 

  • Soong TT, Dargush GF (1997) Passive energy dissipation systems in structural engineering. Wiley, New York

    Google Scholar 

  • Vidic T, Fajfar P, Fischinger M (1994) Consistent inelastic design spectra: Strength and displacement. Earthq Eng Struct Dyn 23: 502–521

    Article  Google Scholar 

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Correspondence to Amadeo Benavent-Climent.

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Benavent-Climent, A., Escolano-Margarit, D. Shaking table tests of structures with hysteretic dampers: experimental results versus prediction using non-linear static methods. Bull Earthquake Eng 10, 1857–1883 (2012).

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  • Pushover analysis
  • Hysteretic damper
  • N2 method
  • Capacity spectrum method
  • Displacement coefficient method