Abstract
To alleviate the detrimental diagonal bracing effect of the traditional rigid-connected reinforced concrete (RC) flight to the boundary frame under lateral inputs, the study proposes an innovative low-damage stair system: prefabricated RC stair isolated by high damping rubber (HDR) bearings. The remarkable properties of the HDR bearings are firstly verified by material tests. To understand the behavior of the novel system, a quasi-static test is conducted on two full-scale stair systems, and a parametric study of the design parameters of the HDR bearings is carried out. Test results confirm that the proposed system could mitigate the detrimental diagonal bracing effect of traditional RC flight by the HDR bearings. Consequently, no crack can be observed in the RC flight at the inter-story drift ratio (ISDR) of 2.0%, and only three horizontal cracks are detected at the bottom of the RC flight under the ISDR of 4.0%. Moreover, benefitting from the sliding mechanism of the developed stair system, the novel stair system is characterized by stable hysteretic responses and energy dissipation capacity at each loading stage and has about twice the equivalent viscous damping ratio to the traditional stair system. The parametric study shows that the rubber thickness of the HDR bearings has a remarkable effect on improving the seismic performance of the developed stair system, while the shear modulus and rubber hardness of the HDR bearings have a slight contribution to enhancing the lateral bearing capacity of the system.
Similar content being viewed by others
Data availability
The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.
References
ABAQUS (2011) Analysis user's manual
Abedi Koupai S, Bakhshi A, Valadoust Tabrizi V (2017) Experimental investigation on effects of elastomer components on dynamic and mechanical properties in seismic isolator compounds. Constr Build Mater 135:267–278. https://doi.org/10.1016/j.conbuildmat.2016.12.184
Asgharzadeh SM, Sadeghi J, Peivast P et al (2018) Fatigue properties of crumb rubber asphalt mixtures used in railways. Constr Build Mater 184:248–257. https://doi.org/10.1016/j.conbuildmat.2018.06.189
Botsa SR, Dasgupta K (2017) Influence of staircase and elevator core location on the seismic capacity of an RC frame building. J Archit Eng 23(4):05017007. https://doi.org/10.1061/(asce)ae.1943-5568.0000274
Cong SP, Zhang Z, Zheng Q et al (2021) Seismic behavior of reinforced concrete frame staircase with separated slab stairs. Structures 34:4284–4296. https://doi.org/10.1016/j.istruc.2021.10.026
Deng XS, Luo DZ, Zhou Y et al (2017) Finite element analysis of energy dissipating performance of damped staircase. Earthq Resist Eng Retrofit 39(1):55–63. https://doi.org/10.16226/j.issn.1002-8412.2017.01.009 (in Chinese)
Deng XS, Luo DZ, Zhou Y et al (2018) Analysis of energy dissipating performance of damped staircase with different constructions and design parameters. Earthq Eng Eng Dyn 38(2):1–9. https://doi.org/10.13197/j.eeev.2018.02.1.dengxs.001 (in Chinese)
Feng Y, Wu XB, Xiong YQ et al (2013) Seismic performance analysis and design suggestion for frame buildings with cast-in-place staircases. Earthq Eng Eng Vib 12(2):209–219. https://doi.org/10.1007/s11803-013-0164-2
Figueiredo JCP, Campilho RDSG, Marques EAS et al (2018) Adhesive thickness influence on the shear fracture toughness measurements of adhesive joints. Int J Adhes Adhes 83:15–23. https://doi.org/10.1016/j.ijadhadh.2018.02.015
Fleischman RB, Restrepo JI, Pampanin S et al (2014) Damage evaluations of precast concrete structures in the 2010–2011 Canterbury earthquake sequence. Earthq Spectra 30(1):277–306. https://doi.org/10.1193/031213eqs068m
GB, T50081 (2016) Standard for test methods of ordinary concrete mechanical properties. China Architectural and Building Press, Beijing (in Chinese)
GB20688.3 (2006) Rubber bearings—part 3: elastomeric seismic-protection isolators for building. China Architectural and Building Press, Beijing (in Chinese)
GB50009 (2012) Load code for the design of building structures. China Architectural and Building Press, Beijing (in Chinese)
GB50010 (2010) Code for design of concrete structures. China Architectural and Building Press, Beijing (in Chinese)
GBT51408 (2021) Standard for seismic isolation design of building. China Architectural and Building Press, Beijing (in Chinese)
Higgins C (2009) Prefabricated steel stair performance under combined seismic and gravity loads. J Struct Eng-ASCE 135(2):122–129. https://doi.org/10.1061/(asce)0733-9445(2009)135:2(122)
Huang WY, Shi F, Zhang C et al (2022) Seismic performance of reinforced concrete frame with lead viscoelastic damper under mainshock-aftershock sequences. Structures 41:1624–1636. https://doi.org/10.1016/j.istruc.2022.05.106
JG, T562 (2018) Precast concrete stair. China Architectural and Building Press, Beijing (in Chinese)
JGJ, T101 (2015) Specification for seismic test of buildings. China Architectural and Building Press, Beijing (in Chinese)
Jiang HJ, Gao HY, Wang B (2012) Seismic damage analyses of staircases in RC frame structures. In: Proceedings, 2nd international conference on structures and building materials (ICSBM2012), pp 2326–2330
Li BX, Mosalam KM (2013) Seismic performance of reinforced-concrete stairways during the 2008 wenchuan earthquake. J Perform Constr Facil 27(6):721–730. https://doi.org/10.1061/(asce)cf.1943-5509.0000382
Losanno D, Hadad HA, Serino G (2019) Design charts for eurocode-based design of elastomeric seismic isolation systems. Soil Dyn Earthq Eng 119:488–498. https://doi.org/10.1016/j.soildyn.2017.12.017
Losanno D, Calabrese A, Madera-Sierra IE et al (2020) Recycled versus natural-rubber fiber-reinforced bearings for base isolation: review of the experimental findings. J Earthq Eng 26(4):1921–1940. https://doi.org/10.1080/13632469.2020.1748764
Losanno D, Palumbo F, Calabrese A et al (2021a) Preliminary investigation of aging effects on recycled rubber fiber reinforced bearings (RR-FRBs). J Earthq Eng 26(10):5407–5424. https://doi.org/10.1080/13632469.2021.1871683
Losanno D, Ravichandran N, Parisi F et al (2021b) Seismic performance of a low-cost base isolation system for unreinforced brick Masonry buildings in developing countries. Soil Dyn Earthq Eng. https://doi.org/10.1016/j.soildyn.2020.106501
Luo DZ, Zhou Y, Tong B et al (2016) Studies concerning the seismic performance of staircases and methods to improve the seismic performance. Earthq Resist Eng Retrofit 38(6):32–47. https://doi.org/10.16226/j.issn.1002-8412.2016.06.005 (in Chinese)
Luo DZ, Deng XS, Zhou Y et al (2019) Seismic performance analysis of frame structures with damped staircases. Build Struct 49(21):80–85. https://doi.org/10.19701/j.jzjg.2019.21.016 (in Chinese)
Mir FU, Rai DC (2020) Experimental and parametric investigation of effects of built-in staircases on the dynamics of RC buildings. Earthq Eng Struct Dyn 49(6):527–542. https://doi.org/10.1002/eqe.3251
Morandi P, Butenweg C, Breis K et al (2022) Latest findings on the behaviour factor q for the seismic design of URM buildings. Bull Earthq Eng. https://doi.org/10.1007/s10518-022-01419-7
Nakamura A, Kasuga A, Arai H (1998) The effects of mechanical dampers on stay cables with high-damping rubber. Constr Build Mater 12(2–3):115–123
Ogawa A, Iijima H, Takahashi M (2021) Staircase design for health monitoring in elderly people. J Build Eng 37:102152. https://doi.org/10.1016/j.jobe.2021.102152
Pantoli E, Chen M, Wang X et al (2016) Full-scale structural and nonstructural building system performance during earthquakes: part II—NCS damage states. Earthq Spectra 32:771–794. https://doi.org/10.1193/012414EQS017M
Parisi F, Augenti N (2012) Influence of seismic design criteria on blast resistance of RC framed buildings: a case study. Eng Struct 44:78–93. https://doi.org/10.1016/j.engstruct.2012.05.046
Rostami R, Alaghmandan M (2021) Performance-based design in emergency evacuation: from maneuver to simulation in school design. J Build Eng 33:101598. https://doi.org/10.1016/j.jobe.2020.101598
Santos J, Andrade P, Escórcio P (2019) Pre-design of laterally supported stair steps. Eng Struct 182:51–61. https://doi.org/10.1016/j.engstruct.2018.12.018
Sezen H, Acar R, Dogangun A et al (2008) Dynamic analysis and seismic performance of reinforced concrete minarets. Eng Struct 30(8):2253–2264. https://doi.org/10.1016/j.engstruct.2007.11.005
Soltanzadeh A, Mazaherian H, Heidari S (2021) Optimal solutions to vertical access placement design in residential high-rise buildings based on human behavior. J Build Eng 43:102856. https://doi.org/10.1016/j.jobe.2021.102856
Sun HL, Zhang AP, Cao JT (2013) Earthquake response analysis for stairs about frame structure. Eng Fail Anal 33:490–496. https://doi.org/10.1016/j.engfailanal.2013.06.023
Wang X, Hutchinson TC (2018) Computational assessment of the seismic behavior of steel stairs. Eng Struct 166:376–386. https://doi.org/10.1016/j.engstruct.2018.03.074
Wang X, Astroza R, Hutchinson TC et al (2015) Dynamic characteristics and seismic behavior of prefabricated steel stairs in a full-scale five-story building shake table test program. Earthq Eng Struct Dyn 44(14):2507–2527. https://doi.org/10.1002/eqe.2595
Wei W, Tan P, Yuan Y et al (2019) Experimental and analytical investigation of the influence of compressive load on rate-dependent high-damping rubber bearings. Constr Build Mater 200:26–35. https://doi.org/10.1016/j.conbuildmat.2018.12.086
Wu S, Huang WY (2022) Performance-based optimum seismic design of cable tray system. J Constr Steel Res 197:107448. https://doi.org/10.1016/j.jcsr.2022.107448
Wu CX, Zhang Q, Huang WY et al (2022) Cyclic behavior of metallic damper connected reinforced concrete beam-column joint with an opening in slab. J Build Eng 60:105193. https://doi.org/10.1016/j.jobe.2022.105193
Xie GY, Zhang XH, Hao H et al (2022) Response of reinforced mortar-less interlocking brick wall under seismic loading. Bull Earthq Eng. https://doi.org/10.1007/s10518-022-01436-6
Zhang Z, Liu X, Peng Y (2019) Improved nonlinear rotational constitutive law for predicting critical loads in elastomeric isolation bearings. Constr Build Mater 211:150–158. https://doi.org/10.1016/j.conbuildmat.2019.03.241
Zhang RF, Zhao ZP, Pan C et al (2020a) Damping enhancement principle of inerter system. Struct Control Health Monit 27(5):e2523. https://doi.org/10.1002/stc.2523
Zhang YF, Tan P, Ma HT et al (2020b) Improving the seismic performance of staircases in building structures with a novel isolator. Comput Model Eng Sci 124(2):415–431. https://doi.org/10.32604/cmes.2020.09054
Zhang C, Wu J, Huang WY et al (2021a) Experimental and numerical study on seismic performance of semi-rigid steel frame infilled with prefabricated damping wall panels. Eng Struct 246:113056. https://doi.org/10.1016/j.engstruct.2021.113056
Zhang C, Li ZZ, Huang WY et al (2021b) Seismic performance of semi-rigid steel frame infilled with prefabricated damping wall panels. J Constr Steel Res 184:106797. https://doi.org/10.1016/j.jcsr.2021.106797
Zhang RF, Wu MJ, Lu WS et al (2021c) Seismic retrofitting of a historic building by using an isolation system with a weak restoring force. Soil Dyn Earthq Eng 148:106836. https://doi.org/10.1016/j.soildyn.2021.106836
Zhang C, Huang WY, Zhou Y et al (2021d) Experimental and numerical investigation on seismic performance of retrofitted RC frame with sector lead viscoelastic damper. J Build Eng 44:103218. https://doi.org/10.1016/j.jobe.2021.103218
Zhang C, Ling B, Huang WY et al (2022a) Cyclic behavior of semi-rigid steel frame infilled with damping wall panels. J Build Eng 51:104238. https://doi.org/10.1016/j.jobe.2022.104238
Zhang C, Yu T, Chen Z et al (2022b) Seismic behavior of novel low-damage precast infill walls with sliding joints for reinforced concrete frame. Earthq Eng Struct Dyn. https://doi.org/10.1002/eqe.3746
Zhang RF, Wu MJ, Pan C et al (2022c) Design of MDOF structure with damping enhanced inerter systems. Bull Earthq Eng. https://doi.org/10.1007/s10518-022-01381-4
Zhao YX (2016) Earthquake-resistant statically determinate stairs in buildings. Pract Period Struct Des Constr 21(4):04016010. https://doi.org/10.1061/(asce)sc.1943-5576.0000292
Zhong HQ, Yuan WC, Dang XZ et al (2022) Seismic performance of composite rubber bearings for highway bridges: bearing test and numerical parametric study. Eng Struct 253:113680. https://doi.org/10.1016/j.engstruct.2021.113680
Zhou Y, Lin SW, Lu DH et al (2014a) Analysis of the principle and effect of the energy dissipation buffering stair. Earthq Resist Eng Retrofit 36(3):14–20 (in Chinese)
Zhou Y, Lin SW, Lu DH et al (2014b) Seismic performance of the frame structure incorporate energy-dissipated stairs under rare earthquake. J Guangzhou Univ: Nat Sci Edit 13(4):59–64 (in Chinese)
Acknowledgements
The authors wish to gratefully acknowledge the generous support of this work by the National Key Research and Development Program of China (No. 2022YFC3803003), the Opening Project of Key Laboratory of Roads and Railway Engineering Safety Control (Shijiazhuang Tiedao University), Ministry of Education, China (No. STDTKF202005), the National Key Research and Development Program of China (No. 2017YFC0703600), and the National Natural Science Foundation of China (No. 51508117).
Funding
Funding was provided by National Key Research and Development Program of China (No. 2022YFC3803003), Opening Project of Key Laboratory of Roads and Railway Engineering Safety Control (Shijiazhuang Tiedao University), Ministry of Education, China (Grant No. No. STDTKF202005), National Key Research and Development Program of China (Grant No. No. 2017YFC0703600), and National Natural Science Foundation of China (Grant No. No. 51508117).
Author information
Authors and Affiliations
Contributions
CZ: Conceptualization, Supervision, Funding acquisition. CD: Writing—original draft, Formal analysis. YZ: Conceptualization, Resources, Funding acquisition. GW: Investigation, Validation, Data curation. FS: Validation, Formal analysis. WH: Writing—original draft, Writing—review and editing, Software, Visualization.
Corresponding authors
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhang, C., Ding, C., Zhou, Y. et al. Seismic behavior of prefabricated reinforced concrete stair isolated by high damping rubber bearings. Bull Earthquake Eng 21, 1325–1352 (2023). https://doi.org/10.1007/s10518-022-01548-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-022-01548-z