Investigation of the Distribution of Cumulative Ductility Demand Parameter in Various Stories of Buckling Restrained Braced Frames

Document Type : Regular Paper


1 Department of Civil Engineering, University of Qom, Qom, Iran

2 Department of Civil Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran


Attributable to the fact that the buckling-restrained brace core yields both in tension and compression, it can absorb energy and exhibit high ductility rendering it proper in order to tolerate earthquick loads.. One of the vital objectives of seismic standards is providing the appropriate ductility for the structures, because the structures, in case of being ductile, can depreciate a considerable amount of earthquake energy. According to the importance of the issue, the present study makes use of cumulative ductility parameter as a scale that is practically applied to describe the plasticity demand of the buckling restrained brace (BRB) member in order to investigate the cyclic behavior of the braces and buckling restrained braced frames (BRBF). To this end, nonlinear time history analysis was run on three steel buckling restrained braced frames in three different height rates, namely 5-story, 10-story and 15-story, subject to seven earthquake records in OpenSees Software. In consonance to the results of the analysis, hysteretic curves were delineated for the stories and cumulative ductility demand and hysteresis energy parameters were calculated for each obtained curves. The results indicated that the cumulative ductility demand distributions of the stories of the buckling restrained braced frames, designed corresponding to AISC360 guidelines are not identical and that higher ductility demands were scored for the upper stories. The stories with more cumulative ductility demand should be redesigned for larger brace cross-sections, although, in terms of strength, the cross-sectional area of the bracing does not require to be larger.


Main Subjects

[1] Kalyanaraman, V., Mahadevan, K. and Thairani, V. (1998), “Core loaded earthquake resistant bracing system”, Elsevier Science, Vol. 46, Issue 215, pp. 437-439.
[2] Bruneau, M., Uang, C. and Sabelli, R.  (2011), “Ductile design of steel structures”, Mc Graw Hill, Toronto.
[3] Mazzolani,F.,Macrae, A. and Charles ,C. (2018). “Buckling restrained brace history, design and application”, Key Engineering Materials , Vol. 736, pp. 50-60.
[4] Clark, P. and Aiken, I. (1999), “Design procedures for buildings incorporating hysteretic damping devices”, 68th Annual Convention, Santa Barbara, California.
[5] Bozorgnia, Y. and V.Bertero, V. (2006), “Earthquake engineering”, University of California Berkeley.
[6] Black, C.J., Makris, N. and Aiken, I.D. (2004), “Component testing, seismic evaluation and characterization of buckling-restrained braces”, Structural Engineering, Vol. 130, pp. 880-894.
[7] Guo,Y., Zhu,J., Zhou,P.and Zhu,B. (2017) , “A new shuttle-shaped buckling-restrained brace. Theoretical study on buckling behavior and load resistance”, Engineering Structures, Vol. 147, pp. 223-241.
[8] Ravi Kumar, G., Satish Kumar, S.R. and Kalyanaraman, V. (2007), “Behaviour of frames with Non-Buckling bracings under earthquake loading”, Journal of Constructional Steel Research, Vol. 63, Issue 2, pp. 254-262.
[9] Bosco, M. and Marino, E.M. (2012), “Design method and behavior factor for steel frames with buckling restrained braces”, International Association for Earthquake Engineering, Vol. 42, Issue 8, pp.1243-1263.
[10] Dehghani,M., Tremblay,R. (2017) , “Design and full‐scale experimental evaluation of a seismically endurant steel buckling‐restrained brace system” , Earthquake Engng Struct Dyn , pp. 1-25.
[11] Robinson, K. and Black, C. (2011), “Getting the most out of buckling restrained braces”, The Steel Conference, Pittsburgh,May.
[12] Andrews, B.M., Fahnestock, L.A. and Song, J. (2008), “Performance-based engineering framework and ductility capacity models for buckling-restrained braces”, Department of Civil and Environmental Engineering University of Illinois at Urbana-Champaign, NSEL Report Series, Report No. NSEL-012.
[13] Zarrineghbal, A. and Ahmadizadeh M. (2015). “Use of asymmetric buckling-restrained braces in zipper frames for improvement of peak and residual response.” 7th International Conference on Seismology and Earthquake Engineering (SEE7), Tehran.
[14] Erochko, J., Christopoulos, C., Tremblay, R. and Choi, H. (2011) “Residual drift response of SMRFs and BRB frames in steel buildings designed according to ASCE 7-05,” Journal of Structural Engineering, vol. 137, no. 5, pp. 589–599.
[15] Craft,J. (2015) “Reducing drifts in buckling restrained braced frames through elastic stories”, Thesis for the degree of Master of Science ,Department of Civil and Environmental Engineering Brigham Young University, Provo.
[16] Chowsi,A. (2015) “Fragility assessment of buckling restrained brace frames under near field earthqukes” steel and composite structures , Vol. 19, Issue 1, pp. 173-190.
[17] Jia, M., Guo, L. and Lu, D. (2014), “Performance testing and comparison of buckling-restrained braces with H and crisscross cross section unrestrained segments”, Journal of Steel Structures, Vol. 14, Issue 4, pp. 745-753.
[18] Black, C. & Makris, N. (2002), “Component testing, stability analysis and characterization of buckling-restrained unbonded braces”, Pacific Earthquake Engineering Research Center, College of Engineering University of California, Berkeley.
[19] Sugihardjo, H. and Tavio(2017), Cumulative ductility and hysteretic behavior of small buckling-restrained braces”, Hindawi, Advances in Civil Engineering, Vol. 2017, Article ID. 7105768.
[20] Standard No. 2800 (2015), Iranian Code of Practice for Seismic Resistant Design of Buildings", 4th Revision, Building and Housing Research Center, Iran.
[21] Iranian National Building Code, Part 6 (2013), Structural Loadings, Ministry of Housing and Urban Development, Tehran, Iran.
[22] AISC 360 (2010), Seismic provisions of structural steel building, American Institute of Steel Construction, Chicago.
[23] AISC 341 (2010), Seismic Provisions for Structural Steel Buildings, American Institute of Steel Construction, Chicago.
[24] Mazzoni, S., McKenna, F. and Scott, M.H. (2006), “OpenSees command language manual”, PEER center.
[25] Robinson, k. (2009), “Specifying buckling-restrained brace systems”, Modern Steel Construction, November.