Bulletin of Earthquake Engineering

, Volume 16, Issue 11, pp 5591–5619 | Cite as

A novel non-iterative direct displacement-based seismic design procedure for self-centering buckling-restrained braced frame structures

  • Lu Liu
  • Shuang Li
  • Junxian Zhao
Original Research Paper


Self-centering buckling-restrained braces (SCBRBs) were proposed recently to minimize residual deformation of the braces induced by yielding or buckling. Although earthquake resilience of structures equipped with the SCBRBs can be well achieved using displacement based designs (DBDs), previously proposed DBD procedures generally involve iterations. In this study, a novel direct displacement-based design method with a non-iterative procedure, named RCR DDBD, is proposed and applied to design of steel braced frame structures with SCBRBs. Unlike previously adopted DBD, the yield displacement does not need to be assumed initially in the proposed procedure. Instead, the yield strength and yield displacement are determined directly by the predetermined objective drift (ratio), using the relation of the strength reduction factor (R) and constant-strength inelastic displacement ratio spectra (CR spectra), i.e. the RCR relation. Since the derived RCR relation is independent with the peak ground acceleration of the earthquake records when stiffness and strength degradation are not considered, the proposed procedure can be accurate for any seismic level. The RCR DDBD is supposed to begin with the knowledge of the seismic excitation level (according to the structure category, site classification and owner’s requirements) and the corresponding target drift; the end of the design is to obtain the cross sections of main frame members and all the bracing parameters. The result of two 7-story buildings designed according to the RCR DDBD procedure demonstrates that this procedure can be effective and fairly simple for practical seismic design.


Self-centering buckling-restrained brace Displacement-based design Strength reduction factor RCR relation Inelastic displacement ratio Non-iterative procedure 



This research is financially supported by the National Natural Science Foundation of China (Grant Nos. 51308169 and 51678208), Natural Science Foundation of Shandong Province (Grant No. ZR2018QEE007), the Pearl River S&T Nova Program of Guangzhou (Grant No. 201610010075), the State Key Lab of Subtropical Building Science (Grant No. 2017KC21), and the Fundamental Research Funds for the Central Universities (Grant No. 2017ZD018).


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of Civil EngineeringHarbin Institute of Technology at WeihaiWeihaiChina
  2. 2.Key Lab of Structures Dynamic Behavior and Control of the Ministry of EducationHarbin Institute of TechnologyHarbinChina
  3. 3.Key Lab of Smart Prevention and Mitigation of Civil Engineering Disasters of the Ministry of Industry and Information TechnologyHarbin Institute of TechnologyHarbinChina
  4. 4.State Key Laboratory of Subtropical Building ScienceSouth China University of TechnologyGuangzhouChina
  5. 5.School of Civil Engineering and TransportationSouth China University of TechnologyGuangzhouChina

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