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Peak displacement patterns for the performance-based seismic design of steel eccentrically braced frames

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Abstract

Performance-based seismic design (PBSD) aims to assess structures at different damage states. Since damage can be directly associated to displacements, seismic design with consideration of displacement seems to be logical. In this study, simple formulae to estimate the peak floor displacement patterns of eccentrically braced frames (EBFs) at different performance levels subjected to earthquake ground motions are proposed. These formulae are applicable in a PBSD and especially in direct displacement-based design (DDBD). Parametric study is conducted on a group of 30 EBFs under a set of 15 far field and near field accelerograms which they scaled to different amplitudes to adapt various performance levels. The results of thousands of nonlinear dynamic analyses of EBFs have been post-processed by nonlinear regression analysis in order to recognize the major parameters that influence the peak displacement pattern of these frames. Results show that suggested displacement patterns have relatively good agreement with those acquired by an exact nonlinear dynamic analysis.

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References

  • American Institute of Steel Construction, AISC 341 (2010), Seismic Provisions for Structural Steel Buildings, Chicago, IL, USA.

  • American Institute of Steel Construction, AISC 360 (2010), Specification for Structural Steel Buildings, Chicago, IL, USA.

  • American Society of Civil Engineers, ASCE/SEI 41 (2013), Seismic Evaluation and Retrofit of Existing Buildings, Reston, VA.

  • American Society of Civil Engineers, ASCE/SEI 7 (2010), Minimum Design Loads for Buildings and other Structures, Reston, VA.

  • Bosco M and Rossi PP (2009), “Seismic Behavior of Eccentrically Braced Frames,” Engineering Structures, 31(3): 664–674.

    Article  Google Scholar 

  • Bosco M, Marino EM and Rossi PP (2015), “Modelling of Steel Link Beams of Short, Intermediate or Long Length,” Engineering Structures, 84: 406–418.

    Article  Google Scholar 

  • Cornell CA, Jalayer F, Hamburger RO and Foutch, DA (2002), “Probabilistic Basis for 2000 SAC Federal Emergency Management Agency Steel Moment Frame Guidelines,” ASCE, Journal of Structural Engineering, 128: 526–33.

    Article  Google Scholar 

  • CSI (2013), Extended Three Dimensional Analysis of Building Systems, ETABS,Version 9.7.4 ed., Berkeley, CA: Computers and Structures, Inc.

  • Dimopoulos AI, Bazeos N and Beskos DE (2012), “Seismic Yield Displacements of Plane Moment Resisting and x-Braced Steel Frames,” Soil Dynamics and Earthquake Engineering, 41: 128–140.

    Article  Google Scholar 

  • Durucan C and Gümüs M (2018), “Direct Use of Peak Ground Motion Parameters for the Estimation of Inelastic Displacement Ratio of SDOF Systems Subjected to Repeated Far Fault Ground Motions”, Earthquake Engineering and Engineering Vibration, 17(4): 771–785. https://doi.org/10.1007/s11803-018-0475-4.

    Article  Google Scholar 

  • Fajfar P and Gaspersic P (1996), “The N2 Method for the Seismic Damage Analysis of RC Buildings,” Earthquake Engineering and Structural Dynamic, 25(1): 31–46.

    Article  Google Scholar 

  • Federal Emergency Management Agency, FEMA 273 (1997), NEHRP Guidelines for the Seismic Rehabilitation of Buildings, Washington, D.C.

  • Federal Emergency Management Agency, FEMA P695 (2009}), Quantification of Building Seismic Performance Factors, Washington, D.C

  • Filiatrault A and Sullivan TJ (2014), “Performance-Based Seismic Design of Nonstructural Building Components: The Next Frontier of Earthquake Engineering,” Earthquake Engineering and Engineering Vibration, 13(1): 17–46.

    Article  Google Scholar 

  • Freeman SA (1978), “Prediction of Response of Concrete Buildings to Severe Earthquake Motion,” American Concrete Institute, 55: 589–605.

    Google Scholar 

  • Freeman SA (1998), “The Capacity Spectrum Method as a Tool for Seismic Design,” Proceedings of the 11th European Conference on Earthquake Engineering, Paris, France.

    Google Scholar 

  • Gulkan P and Sozen M (1974), “Inelastic Response of Reinforced Concrete Structures to Earthquake Motions,” ACI J, 71(12): 604–10.

    Google Scholar 

  • IBM Corp. Released, IBM SPSS Statistics for Windows, (2013), Version 22.0. Armonk, NY: IBM Corp.

  • Karavasilis TL, Bazeos N and Beskos DE (2006), “Maximum Displacement Profiles for the Performance-Based Seismic Design of Plane Steel Moment Resisting Frames,” Engineering Structures, 28(1): 9–22.

    Article  Google Scholar 

  • Kazemzadeh AS and Topkaya C (2017), “A Review of Research on Steel Eccentrically Braced Frames,” Journal of Constructional Steel Research, 128: 53–73.

    Article  Google Scholar 

  • Kusyilmaz A and Topkaya C (2013), “Design Overstrength of Steel Eccentrically Braced Frames,” International Journal of Steel Structures, 13(3): 529–545.

    Article  Google Scholar 

  • Kusyilmaz A and Topkaya C (2015), “Displacement Amplification Factors for Steel Eccentrically Braced Frames,” Earthquake Engineering and Structural Dynamics, 44: 167–184.

    Article  Google Scholar 

  • Kusyilmaz A and Topkaya C (2016), “Evaluation of Seismic Response Factors for Eccentrically Braced Frames Using FEMA P695 Methodology,” Earthquake Spectra, 32: 303–321.

    Article  Google Scholar 

  • Loeding S, Kowalsky MJ and Priestley MJN (1998), “Direct Displacement-Based Design of Reinforced Concrete Building Frames,” Report of Structural Systems Research Project SSRP-98/08, Division of Structural Engineering, University of California, San Diego, La Jolla, California.

    Google Scholar 

  • Mezgebo MG and Lui E M. (2017), “A new methodology for energy-based seismic design of steel moment frames,” Earthquake Engineering and Engineering Vibration, 16(1): 131–152. https://doi.org/10.1007/s11803-017-0373-1.

    Article  Google Scholar 

  • Nasim S, Moghaddasi B and Zhang Y (2013), “Seismic Analysis of Diagrid Structural Frames with Shear-Link Fuse Devices,” Earthquake Engineering and Engineering Vibration, 12(3): 463–472.

    Article  Google Scholar 

  • Newmark NM and Hall WJ (1982), “Earthquake Spectra and Design,” EERI Monograph Series, Earthquake Engineering Research Institute, Oakland, CA.

    Google Scholar 

  • Özhendekci D and Özhendekci N (2008), “Effects of the Frame Geometry on the Weight and Inelastic Behavior of Eccentrically Braced Chevron Steel Frames,” Journal of Constructional Steel Research, 64(3): 326–343.

    Article  Google Scholar 

  • PEER, Open System for Earthquake Engineering Simulation: OPENSEES (2016), Berkeley: Pacific Earthquake Engineering Research Center (PEER), University of California; http://opensees.berkeley.edu.

  • Pettinga JD and Priestley M (2005), “Dynamic Behavior of Reinforced Concrete Frames Designed with Direct Displacement-Based Design,” Journal of Earthquake Engineering, 9(2): 309–30.

    Article  Google Scholar 

  • Priestley MJN, Calvi GM and Kowalsky MJ (2007), Displacement-Based Seismic Design of Structures, Pavia, Italy: IUSS Press.

    Google Scholar 

  • Raheem SEA, Zaher AKD and Taha AMA (2018), “Finite Element Modeling Assumptions Impact on Seismic Response Demands of MRF-Buildings,” Earthquake Engineering and Engineering Vibration, 17(4): 821–834. https://doi.org/10.1007/s11803-018-0478-1.

    Article  Google Scholar 

  • Rossi PP and Lombardo A (2007), “Influence of the Link Overstrength Factor on the Seismic Behavior of Eccentrically Braced Frames,” Journal of Constructional Steel Research, 63(11): 1529–1545.

    Article  Google Scholar 

  • SAC Joint Venture, Develop Suites of Time Histories, Project Task: 5.4.1, Draft Report, March 21, 1997, Sacramento, CA, USA.

  • Sullivan TJ (2013), “Direct Displacement-Based Seismic Design of Steel Eccentrically Braced Frame Structures,” Bulletin of Earthquake Engineering, 11(2): 197–231.

    Google Scholar 

  • Tabatabaei R and Saffari H (2010), “Energy-Based Approach to Estimate Seismic Demands for Asymmetric Buildings,” Earthquake and Tsunami, 4: 215–30.

    Article  Google Scholar 

  • Ucar T and Merter O (2018), “Derivation of Energy-Based Base Shear Force Coefficient Considering Hysteretic Behavior and P-delta Effects,” Earthquake Engineering and Engineering Vibration, 17(1): 149–163. https://doi.org/10.1007/s11803-018-0431-3.

    Article  Google Scholar 

  • Vafaee MH and Saffari H (2017), “A Modal Shear-Based Pushover Procedure for Estimating the Seismic Demands of Tall Building Structures,” Soil Dynamics and Earthquake Engineering, 92: 95–108.

    Article  Google Scholar 

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Correspondence to Saffari Hamed.

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Fakhraddini, A., Hamed, S. & Fadaee, M.J. Peak displacement patterns for the performance-based seismic design of steel eccentrically braced frames. Earthq. Eng. Eng. Vib. 18, 379–393 (2019). https://doi.org/10.1007/s11803-019-0510-0

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