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Seismic behavior of RC moment resisting structures with concrete shear wall under mainshock–aftershock seismic sequences

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Abstract

A structure may be subject to several aftershocks after a mainshock. In many seismic design provisions, the effect of the seismic sequences is either not directly considered or has been underestimated. This study examined the seismic behavior of reinforced concrete (RC) moment-resisting structures with concrete shear walls under seismic sequences. Two three-dimensional structures of short and medium height were designed and analyzed under seven real mainshock–aftershock seismic sequences. The models were loaded and designed according to the Iranian seismic code (4th ed.; Standard No. 2800) and ACI-318. The structures were analyzed using the nonlinear explicit finite element method. The maximum displacement, inter-story drift ratio, residual displacement, and ratio of aftershock PGA to mainshock PGA were investigated and assessed. Because of the high lateral stiffness of the shear walls in addition to their completely elastic behavior, the aftershocks did not increase the inter-story drift ratio or relative displacement in the short structure model. The medium height model under the seismic sequences showed a significant growth in the relative displacement (roughly 25% in some cases), inter-story drift ratio, plastic strain, and residual displacement (42.22% growth on average) compared to the structure that was only subjected to the mainshock. Remarkably, in some cases, the aftershock doubled the residual displacement. Unlike the moment-resisting frames under seismic sequences, the models showed no significant growth in the drift ratio with an increase in height. Assessments indicated that the ratio of aftershock PGA to mainshock PGA is a determinative parameter for structural behavior under seismic sequences, such that high values of this ratio (> 0.6) caused significant increases in the residual and relative displacements.

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References

  • Abaqus (2018) Dassault Systemes, Siimulia [computer software]. Johnston, Rhode Island

    Google Scholar 

  • Amadio C, Fragiacomo M, Rajgelj S (2003) The effects of repeated earthquake ground motions on the non-linear response of SDOF systems. Earthq Eng Struct Dyn 32(2):291–308. https://doi.org/10.1002/eqe.225

    Article  Google Scholar 

  • American Concrete Institute (ACI 318-14) (2014) Committee. Building code requirements for structural concrete and commentary. Michigan, USA

  • Amiri S, Bojórquez E (2019) Residual displacement ratios of structures under mainshock–aftershock sequences. Soil Dyn Earthq Eng 121:179–193. https://doi.org/10.1016/j.soildyn.2019.03.021

    Article  Google Scholar 

  • Astaneh-Asl A (2002) Seismic behavior and design of composite steel plate shear walls. Structural Steel Educational Council

    Google Scholar 

  • Carreira DJ, Chu KH (1986) Stress-strain relationship for reinforced concrete in tension. ACI J 83:21–28

    Google Scholar 

  • Dassault Systèmes (2017) Getting start with ABAQUS tutorial. ABAQUS Version 6.14., Providence, RI. Waltham, USA

  • Dulinska JM, Murzyn IJ (2016) Dynamic behaviour of a concrete building under a mainshock–aftershock seismic sequence with a concrete damage plasticity material model. Geomat Nat Haz Risk 7:25–34. https://doi.org/10.1080/19475705.2016.1181341

    Article  Google Scholar 

  • Epackachi S, Sharma N, Whittaker A, Hamburger RO, Hortacsu A (2019) A cyclic backbone curve for shear-critical reinforced concrete walls. J Struct Eng 145(4):04019006. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002277

    Article  Google Scholar 

  • ETABS (2019) Computers and Structures Inc [computer software]. Berkeley, California, U.S.

  • ETABS tutorial (2010) Design of a building using: ETABS step by step procedure of designing building in ETABS. ETABS Computers and Structures Inc., Berkeley

    Google Scholar 

  • Far H (2019) Dynamic behaviour of unbraced steel frames resting on soft ground. Steel Constr 12(2):135–140. https://doi.org/10.1002/stco.201800003

    Article  Google Scholar 

  • Hainzl S, Steacy D, Marsan S (2010) Seismicity models based on Coulomb stress calculations. In: Community online resource for statistical seismicity analysis. https://doi.org/10.5078/corssa-32035809

  • Hatzigeorgiou GD, Liolios AA (2010) Nonlinear behaviour of RC frames under repeated strong ground motions. Soil Dyn Earthq Eng 30(10):1010–1025. https://doi.org/10.1016/j.soildyn.2010.04.013

    Article  Google Scholar 

  • Hatzivassiliou MP, Hatzigeorgiou GD (2015) Three-dimensional reinforced concrete structures subjected to mainshock–aftershock earthquake sequences. Paper presented at the 8th GRACM International Congress on Computational Mechanics. Volos, Greece

  • Hillerborg A, Modéer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6(6):773–781. https://doi.org/10.1016/0008-8846(76)90007-7

    Article  Google Scholar 

  • Hosseini SA, Ruiz-Garcia J, Massumi A (2019) Seismic response of RC frames under far-field mainshock and near-fault aftershock sequences. Struct Eng Mech 72(3):395–408. https://doi.org/10.12989/sem.2019.72.2.000

    Article  Google Scholar 

  • Hsu LS, Hsu CT (2015) Complete stress–strain behaviour of high-strength concrete under compression. Mag Concr Res 46(169):301–312. https://doi.org/10.1680/macr.1994.46.169.301

    Article  Google Scholar 

  • Iranian Code of Practice for Seismic Resistant Design of Buildings (Standard No. 2800) (2015) Building and Housing Research Center. Tehran, Iran

  • Johnson S (2006) Comparison of nonlinear finite element modeling tools for structural concrete. CEE561 Project. University of Illinois, Illinois, USA

  • Khouri MF (2011) Drift limitations in a shear wall considering a cracked section. Int J Reliab Saf Eng Syst Struct 1(1):31–38

    Google Scholar 

  • Kim B, Shin M (2017) Main shock-aftershock sequential analysis on reinforced concrete columns. Paper presented at the 16th World Conference on Earthquake. Santiago, Chile

  • Lee J, Fenves GL (1998) Plastic-damage model for cyclic loading of concrete structures. J Eng Mech 124(8):892–900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892)

    Article  Google Scholar 

  • Londoño JM, Neild SA, Cooper JE (2015) Identification of backbone curves of nonlinear systems from resonance decay responses. J Sound Vib 348:224–238. https://doi.org/10.1016/j.jsv.2015.03.015

    Article  Google Scholar 

  • Lubliner J, Oliver J, Oller S, Onate E (1989) A plastic-damage model for concrete. Int J Solids Struct 25(3):299–326. https://doi.org/10.1016/0020-7683(89)90050-4

    Article  Google Scholar 

  • Luo H, Paal SG (2018) Machine learning-based backbone curve model of reinforced concrete columns subjected to cyclic loading reversals. J Comput Civ Eng 32(5):04018042. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000787

    Article  Google Scholar 

  • Megson THG (2005) Structural and stress analysis. Elsevier, Amsterdam. ISBN: 9780080455341

  • Mostofinejad D (2008) Reinforced concrete structures, vol 2, 7th edn. Arkane danesh, Isfahan. ISBN: 978-964-2591-04-6

  • Náprstek J, Horáček J, Okrouhlík M, Marvalová B, Verhulst F, Sawicki JT (2011) Vibration problems. Paper presented at the 10th international conference on vibration problems, vol 139. Springer Science & Business Media, Netherlands. https://doi.org/10.1007/978-94-007-2069-5

  • Ōmori F (1984) On the after-shocks of earthquakes, vol 7. Imperial University, Tokyo

    Google Scholar 

  • Pacific Earthquake Engineering Research Center (2011) PEER ground motion database. Data available on the: https://ngawest2.berkeley.edu/

  • Pirooz RM, Habashi S, Massumi A (2021) Required time gap between mainshock and aftershock for dynamic analysis of structures. Bull Earthq Eng 19(6):2643–2670. https://doi.org/10.1007/s10518-021-01087-z

    Article  Google Scholar 

  • Qu B, Bruneau M (2009) Design of steel plate shear walls considering boundary frame moment resisting action. J Struct Eng 135(12):1511–1521. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000069

    Article  Google Scholar 

  • Ramberg W, Osgood WR (1943) Description of stress–strain curves by three parameters. NASA, USA, Document ID: 19930081614

  • Ruiz-García J (2012) Mainshock–aftershock ground motion features and their influence in building’s seismic response. J Earthq Eng 16(5):719–737. https://doi.org/10.1080/13632469.2012.663154

    Article  Google Scholar 

  • Ruiz-García J, Negrete-Manriquez JC (2011) Evaluation of drift demands in existing steel frames under as-recorded far-field and near-fault mainshock–aftershock seismic sequences. Eng Struct 33(2):621–634. https://doi.org/10.1016/j.engstruct.2010.11.021

    Article  Google Scholar 

  • Ruiz-García J, Terán-Gilmore A, Díaz G (2012) Response of essential facilities under narrow-band mainshock–aftershock seismic sequences. Paper presented at the proceedings of 15th World Conference on Earthquake Engineering. Lisbon, Portugal

  • Ruiz-García J, Yaghmaei-Sabegh S, Bojórquez E (2018) Three-dimensional response of steel moment-resisting buildings under seismic sequences. Eng Struct 175:399–414. https://doi.org/10.1016/j.engstruct.2018.08.050

    Article  Google Scholar 

  • Shear Wall Design Manual ACI 318-14 (2016) Computers & Structures Inc. Berkeley, California, USA

  • Tarigan J, Manggala J, Sitorus T (2018) The effect of shear wall location in resisting earthquake. Paper presented at the IOP conference series: materials science and engineering. Sumatera Utara, Indonesia

  • Thomsen JH, Wallace JW (2004) Displacement-based design of slender reinforced concrete structural walls—experimental verification. J Struct Eng 130(4):618–630. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:4(618)

    Article  Google Scholar 

  • Wahalathantri B, Thambiratnam D, Chan T, Fawzia S (2011) A material model for flexural crack simulation in reinforced concrete elements using ABAQUS. The paper presented at Proceedings of the first international conference on engineering, designing and developing the built environment for sustainable wellbeing. Queensland University of Technology, Australia, Queensland

  • Wallace JW (1994) New methodology for seismic design of RC shear walls. J Struct Eng 120(3):863–884. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:3(863)

    Article  Google Scholar 

  • Zhai CH, Wen WP, Li S, Chen Z, Chang Z, Xie LL (2014) The damage investigation of inelastic SDOF structure under the mainshock–aftershock sequence-type ground motions. Soil Dyn Earthq Eng 59:30–41. https://doi.org/10.1016/j.soildyn.2014.01.003

    Article  Google Scholar 

  • Zhao C, Yu N, Peng T, Lippolis V, Corona A, Mo YL (2020) Study on the dynamic behavior of isolated AP1000 NIB under mainshock–aftershock sequences. Prog Nucl Energy. https://doi.org/10.1016/j.pnucene.2019.103144

    Article  Google Scholar 

  • Zhou J, Bu GB, Li KN (2012) Calculation methods for inter-story drifts of building structures. Paper presented at the proceedings of 15th world conference on earthquake engineering. Lisbon, Portugal

Download references

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  1. Kharazmi University, No. 43, Dr. Mofatteh Ave., Tehran, Iran

    Omid Karimzade Soureshjani & Ali Massumi

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  1. Omid Karimzade Soureshjani
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  2. Ali Massumi
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Correspondence to Ali Massumi.

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Soureshjani, O.K., Massumi, A. Seismic behavior of RC moment resisting structures with concrete shear wall under mainshock–aftershock seismic sequences. Bull Earthquake Eng 20, 1087–1114 (2022). https://doi.org/10.1007/s10518-021-01291-x

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