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RETRACTED ARTICLE: Dynamic analysis of structures installed hysteretic dampers with hardening post-yielding stiffness using connection element method

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This article was retracted on 25 March 2024

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Abstract

In recent years, various passive energy dissipation devices have been gradually applied to structural vibration control. Hysteretic dampers with hardening post-yielding stiffness (HDHPSs) could solve the problem of insufficient stiffness after the ordinary friction damper enters into its yield state, and realize multi-level seismic objectives and multi-stage energy dissipation. For hysteretic dampers with hardening post-yielding stiffness, computational formula of its resistance is given in this paper based on Wen-Gap connecting element, and the calculation formula of its equivalent yield strength is derived combining with the energy theory, which is verified by SAP2000 software. A 12-story steel frame with a weak story was strengthened by using HDHPSs and the dynamic performances of three frames are compared by using the connection element method proposed in this paper. The results show that the proposed formula of equivalent yield strength matches well with the numerical simulation results, which could provide a reference for seismic design of structures installed such dampers. The connection element method proposed in this paper is feasible to analyze the dynamic performances of structures with hardening post-yielding stiffness. The frame installed HDHPSs could effectively control the maximum displacement, which could meet the requirement of displacement performance target. This paper has certain reference significance for structural retrofit of existing structures.

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References

  • Anurag S, Tripathi RK, Govardhan B (2020) Comparative performance evaluation of RC frame structures using direct displacement-based design method and force-based design method. Asian J Civil Eng 21(3):381–394

    Article  Google Scholar 

  • ATC-40, Seismic evaluation and retrofit of concrete buildings, Redwood City, California: SSCSC, 1996

  • Beheshti-Aval SB, Mahbanouei H, Zareian F (2013) A hybrid friction-yielding damper to equip concentrically braced steel frames. Int J Steel Struct 13(4):577–587

    Article  Google Scholar 

  • Cardone D (2014) Displacement limits and performance displacement profiles in support of direct displacement-based seismic assessment of bridges. Earthq Eng Struct Dynam 43(8):1239–1263

    Article  Google Scholar 

  • Christopoulos C, Pampanin S (2004) Towards Performance based design of MDOF structures with explicit consideration of residual deformations. ISET J Earthq Technol 41(1):53–73

    Google Scholar 

  • Christopoulos C, Filiatrault A, Bertero V (2006) Principles of passive supplemental damping and seismic isolation. IUSS Press, Pavia

    Google Scholar 

  • Code for seismic design of buildings: GB 50011–2010 [s] Beijing: China State Construction Industry Press, 2016

  • FEMA 273, (1997) Guidelines for the seismic rehabilitation of buildings, Washington, DC: BSSC, ATC, NEHRP

  • FEMA 450, (2004) NEHRP Recommended provisions for seismic regulations for new buildings and other structures: Provisions/prepared by the building seis-mic safety council, Washington, D.C: BSSC, NIBS

  • Godio M, Beyer K (2019) Evaluation of force-based and displacement-based out-of-plane seismic assessment methods for unreinforced masonry walls through refined model simulations. Earthq Eng Struct Dynam 48(4):454–475

    Article  Google Scholar 

  • Hao L, Zhang R, Jin K (2018) Direct design method based on seismic capacity redundancy for structures with metal yielding dampers. Earthq Eng Struct Dynam 47(2):515–534

    Article  Google Scholar 

  • Hosseini HB, Moaddab E (2017) Experimental study of a hybrid structural damper for multi-seismic levels. Struct Build 170(10):722–734

    Article  Google Scholar 

  • Hummel J, Seim W (2019) Displacement-based design approach to evaluate the behaviour factor for multi-storey CLT buildings. Eng Struct 201:1–15

    Google Scholar 

  • Iemura H, Takahashi Y, Sogabe N (2006) Two-level seismic design method using post-yield stiffness and its application to unbonded bar reinforced concrete piers. Struct Eng Earthq Eng 23(1):109s–116s

    Google Scholar 

  • Kim J, Seo Y (2004) Seismic design of low-rise steel frames with buckling-restrained braces. Eng Struct 26(5):543–551

    Article  Google Scholar 

  • Kim J, Choi H (2006) Displacement-based design of supplemental dampers for seismic retrofit of a framed structure. J Struct Eng 132(6):873–883

    Article  Google Scholar 

  • Kim J, Shin H (2017) Seismic loss assessment of a structure retrofitted with slit-friction hybrid dampers. Eng Struct 130:336–350

    Article  Google Scholar 

  • Kim J, Choi H, Min KW (2011) Use of rotational friction dampers to enhance seismic and progressive collapse resisting capacity of structures. Struct Design Tall Spec Build 20(4):515–537

    Article  Google Scholar 

  • Kong C, Kowalsky MJ (2016) Impact of damping scaling factors on direct displacement-based design. Earthq Spectra 32(2):843–859

    Article  Google Scholar 

  • Kowalsky MJ (2001) RC structural walls designed according to UBC and displacement-based methods. J Struct Eng 127(5):506–516

    Article  Google Scholar 

  • Lee CH, Kim J, Kim DH, Ryu J, Ju YK (2016) Numerical and experimental analysis of combined behavior of shear-type friction damper and non-uniform strip damper for multi-level seismic protection. Eng Struct 114(may1):75–92

    Article  Google Scholar 

  • Lee J, Kang H, Kim J (2017) Seismic performance of steel plate slit-friction hybrid dampers. J Constr Steel Res 136:128–139

    Article  Google Scholar 

  • Lee CH, Ryu J, Kim DH, Ju YK (2018) Improving seismic performance of non-ductile reinforced concrete frames through the combined behavior of friction and metallic dampers. Eng Struct 172:304–320

    Article  Google Scholar 

  • Li G, Li HN (2007) Seismic design method of energy dissipation and damped structure based on displacement. Eng Mech 24(9):88–94

    Google Scholar 

  • Li G, Li HN (2013) Experimental study and application of metallic yielding-friction damper. J Earthq Tsunami 07(03):1–13

    Article  Google Scholar 

  • Li G, Zhu LH, Li HN (2019) Displacement-based seismic design for buildings installed hysteretic dampers with hardening post-yielding stiffness. Adv Struct Eng 22(16):3420–3434

    Article  Google Scholar 

  • Lin YY, Tsai MH, Hwang JS, Chang KC (2003) Direct displacement-based design for building with passive energy dissipation systems. Eng Struct 25(1):25–37

    Article  Google Scholar 

  • Lin YY, Chang KC, Chen CY (2008) Direct displacement-based design for seismic retrofit of existing buildings using nonlinear viscous dampers. Bull Earthq Eng 6:535–552

    Article  Google Scholar 

  • Liu HB, Zhao JX, Qiu C, Zhao SX, Yang SH, He F, Chen ZH (2022) Research progress and prospect of glued laminated timber spatial grid structure. J Hebei Univ Eng 39(04):1–11

    Google Scholar 

  • Macrae GA, Kimura Y, Roeder C (2004) Effect of column stiffness on braced frame seismic behavior. J Struct Eng 130(3):381–391

    Article  Google Scholar 

  • Miranda E (1999) Approximate seismic lateral deformation demands in multistory buildings. J Struct Eng 125(4):417–425

    Article  Google Scholar 

  • Muho EV, Qian J, Beskos DE (2020) A direct displacement-based seismic design method using a MDOF equivalent system: application to R/C framed structures. Bull Earthq Eng 18:18:4157–4188

    Article  Google Scholar 

  • Nuzzo I, Losanno D, Caterino N (2019) Seismic design and retrofit of frame structures with hysteretic dampers: a simplified displacement-based procedure. Bull Earthq Eng 17(5):2787–2819

    Article  Google Scholar 

  • O’Reilly GJ, Monteiro R, Nafeh AMB, Sullivan TJ, Calvi GM (2020) Displacement-based framework for simplified seismic loss assessment. J Earthq Eng 24(sup1):1–22

    Article  Google Scholar 

  • Priestley MJN (2002) Direct displacement-based design of precast/prestressed concrete buildings. PCI J 47(6):66–79

    Article  Google Scholar 

  • Pu WC, Liang RJ, Liu CQ (2016) Control design of building structure based on displacement and equivalent stiffness. J Struct Archit 37(S1):71–78

    Google Scholar 

  • Qian JR, Lu W (1999) Seismic design of shear wall based on displacement ductility. J Archit Archit 20(3):42–49

    Google Scholar 

  • Reggiani MN, Vassiliou MF (2019) Displacement-based analysis and design of rocking structures. Earthq Eng Struct Dynam 48(14):1613–1629

    Article  Google Scholar 

  • Sahoo DR, Prakash A (2019) Seismic behavior of concentrically braced frames designed using direct displacement-based method. Int J Steel Struct 19(1):96–109

    Article  Google Scholar 

  • Salem MA, Dicleli M (2016) Systematic development of a new hysteretic damper based on torsional yielding: part I-design and development. Earthq Eng Struct Dynam 45(6):845–867

    Article  Google Scholar 

  • Shang QX, Zhang XP, Chen X, Wang T (2022) Design method of energy dissipation based on mechanical models of displacement-based dampers. J Archit Archit 43(07):62–71

    Google Scholar 

  • Structural Engineers Association of California (SEAOC), (1999), Recommended lateral force requirements and commentary, Appendix I, Sacra-mento, Calif

  • Wei B, Xu Y, Li J (2012) Treatment of P-Δ effects in displacement-based seismic design for SDOF systems. J Bridge Eng 17(3):509–518

    Google Scholar 

  • Welch DP, Sullivan TJ, Calvi GM (2014) Developing direct displacement-based procedures for simplified loss assessment in performance-based earthquake engineering. J Earthq Eng 18(2):290–322

    Article  Google Scholar 

  • Wijesundara KK, Rajeev P (2012) Direct displacement-based seismic design of steel concentric braced frame structures. Aust J Struct Eng 13(3):243–257

    Google Scholar 

  • Yang B, Lu X (2018) Displacement-based seismic design approach for prestressed precast concrete shear walls and its application. J Earthq Eng 22(10):1836–1860

    Article  Google Scholar 

  • Ye K, Xiao Y, Hu L (2019) A direct displacement-based design procedure for base-isolated building structures with lead rubber bearings (LRBs). Eng Struct 197:1–9

    Article  Google Scholar 

  • Zhou Y, Deng XS (1999) Performance study of steel yield-friction composite energy dissipation device. Seismic Eng Eng Vibr 19(01):127–131

    Google Scholar 

  • Zhu LH (2019) Experimental and theoretical study on shock reduction structure of new grille friction damper. Dalian University of Technology, China

    Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge the financial support from Natural Science Foundation of Heibei Province of China (grant No. E2021402074), Science and Technology Project of Hebei Education Department (grant No. QN2023133), the Open Fund of State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology (grant No. LP2123), and Science and Technology Research and Development Plan Project of Science and Technology Bureau of Handan (grant No. 21422053283).

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L-HZ was responsible for the supervision, and leadership. X-NM was responsible for the methodology, conceptualization, visualization, software, validation, and data analysis and for writing the manuscript, verification, and investigation.

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Correspondence to Li-Hua Zhu.

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This article has been retracted. Please see the retraction notice for more detail: https://doi.org/10.1007/s10878-024-01131-z"

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Ma, XN., Zhu, LH. RETRACTED ARTICLE: Dynamic analysis of structures installed hysteretic dampers with hardening post-yielding stiffness using connection element method. J Comb Optim 45, 95 (2023). https://doi.org/10.1007/s10878-023-01009-6

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  • DOI: https://doi.org/10.1007/s10878-023-01009-6

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