Technical Papers
Aug 7, 2024

Temperature Effect on Seismic Responses of SMA Knee-Braced Frames

Publication: Journal of Structural Engineering
Volume 150, Issue 10

Abstract

Shape-memory alloy (SMA) knee-braced frames (KBFs) are a type of seismically resilient frame buildings. Knee braces (KBs) in this system are the SMA buckling-restrained braces, which provide both self-centering and energy-dissipating capacity. SMAs are known for their noticeable thermal-mechanical property, but there remains a lack of understanding regarding the temperature effect on the seismic responses of SMA KBFs. Hence, this study aims to address this issue at both component and system levels. Cyclic loading tests were conducted on reduced-scale SMA KB specimens under five distinct ambient temperatures ranging from 20°C to 20°C. The experimental data were then used to quantify the relationship between the hysteretic parameters of interest and the ambient temperature. At the system level, a multistory steel frame located in Tangshan City, China, was selected as the example structure. The probability density function was built to describe the temperature variation of the selected region, and the parameters of the function were determined using the maximum likelihood estimation method. The probabilistic analytical framework that considered the temperature effect was described. Then, this work conducted seismic design at the reference temperature (20°C). In what followed, within varying temperature conditions, nonlinear time-history analysis and multistripe analysis were conducted. The seismic response indexes under discrete temperature levels were compared. Finally, the temperature effect was understood by generating the joint fragility curves under various levels of temperature and seismic intensity. The findings indicated that the temperature effect on SMA KBs was noticeable. However, the temperature effect on SMA KBFs was minor, even though the extent of temperature variation was up to 60°C.

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Data Availability Statement

Some or all data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This research was supported by the National Natural Science Foundation of China (Grant No. 52178267). The opinions, findings, conclusions, and recommendations presented in this study are those of the authors and do not necessarily reflect the views of the sponsors.

References

AISC. 2010. Seismic provisions for structural steel buildings. ANSI/AISC 341-10. Chicago: AISC.
Bakalis, K., and D. Vamvatsikos. 2018. “Seismic fragility functions via nonlinear response history analysis.” J. Struct. Eng. 144 (10): 04018181. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002141.
Bradley, B. A., R. P. Dhakal, M. Cubrinovski, J. B. Mander, and G. A. Macrae. 2010. “Improved seismic hazard model with application to probabilistic seismic demand analysis.” Earthquake Eng. Struct. Dyn. 36 (14): 2211–2225. https://doi.org/10.1002/eqe.727.
Chen, J., W. Wang, and C. Fang. 2021. “Probabilistic seismic evaluation of SMA-based self-centering braced structures considering uncertainty of regional temperature.” Earthquake Eng. Struct. Dyn. 50 (13): 3357–3378. https://doi.org/10.1002/eqe.3513.
China Meteorological Data Service Center. 2021. “China meteorological data service center.” Accessed April 10, 2023. http://data.cma.cn/en.
Chinese Standard. 2016. Code for seismic design of buildings. GB 50011-2010. Beijing: China Architecture & Building Press.
Chopra, A. K. 2007. Dynamics of structures: Theory and application to earthquake engineering. Upper Saddle River, NJ: Prentice Hall.
Cornell, C. A., F. Jalayer, R. O. Hamburger, and D. A. Foutch. 2002. “Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines.” J. Struct. Eng. 128 (4): 526–533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526).
DesRoches, R., J. McCormick, and M. Delemont. 2004. “Cyclic properties of superelastic shape memory alloy wires and bars.” J. Struct. Eng. 130 (1): 38–46. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:1(38).
Fahiminia, M., and S. M. Zahrai. 2020. “Seismic performance of simple steel frames with buckling-restrained knee braces & SMA to reduce residual displacement.” Soil Dyn. Earthquake Eng. 137 (Oct): 106268. https://doi.org/10.1016/j.soildyn.2020.106268.
Fahnestock, L. A., J. M. Ricles, and R. Sause. 2007. “Experimental evaluation of a large-scale buckling-restrained braced frame.” J. Struct. Eng. 133 (9): 1205–1214. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:9(1205).
Fang, C., D. Liang, Y. Zheng, M. C. Yam, and R. Sun. 2020. “Rocking bridge piers equipped with shape memory alloy (SMA) washer springs.” Eng. Struct. 214 (Jul): 110651. https://doi.org/10.1016/j.engstruct.2020.110651.
Fang, C., W. Wang, Y. Ji, and M. C. Yam. 2021. “Superior low-cycle fatigue performance of iron-based SMA for seismic damping application.” J. Constr. Steel Res. 184 (Sep): 106817. https://doi.org/10.1016/j.jcsr.2021.106817.
Fang, C., W. Wang, C. Qiu, S. Hu, G. A. MacRae, and M. R. Eatherton. 2022. “Seismic resilient steel structures: A review of research, practice, challenges and opportunities.” J. Constr. Steel Res. 191 (Apr): 107172. https://doi.org/10.1016/j.jcsr.2022.107172.
FEMA. 2012. Seismic performance assessment of buildings. FEMA P58. Washington, DC: FEMA.
Hu, S., and W. Wang. 2021. “Comparative seismic fragility assessment of mid-rise steel buildings with non-buckling (BRB and SMA) braced frames and self-centering energy-absorbing dual rocking core system.” Soil Dyn. Earthquake Eng. 142 (Mar): 106546. https://doi.org/10.1016/j.soildyn.2020.106546.
Ke, K., M. C. Yam, P. Zhang, Y. Shi, Y. Li, and S. Liu. 2023. “Self-centring damper with multi-energy-dissipation mechanisms: Insights and structural seismic demand perspective.” J. Constr. Steel Res. 204 (May): 107837. https://doi.org/10.1016/j.jcsr.2023.107837.
Li, J., W. Wang, and P. Li. 2021. “Development, testing and performance evaluation of steel beam-through framed connections with curved knee braces for improving seismic performance.” J. Constr. Steel Res. 179 (Apr): 106552. https://doi.org/10.1016/j.jcsr.2021.106552.
MacRae, G. A., and K. Kawashima. 1997. “Post-earthquake residual displacements of bilinear oscillators.” Earthquake Eng. Struct. Dyn. 26 (7): 701–716. https://doi.org/10.1002/(SICI)1096-9845(199707)26:7%3C701::AID-EQE671%3E3.0.CO;2-I.
MacRae, G. A., Y. Kimura, and C. Roeder. 2004. “Effect of column stiffness on braced frame seismic behavior.” J. Struct. Eng. 130 (3): 381–391. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:3(381).
McCormick, J., H. Aburano, M. Ikenaga, and M. Nakashima. 2008. “Permissible residual deformation levels for building structures considering both safety and human elements.” In Proc., 14th World Conf. Earthquake Engineering, 2–17. Beijing: Seismological Press.
Miller, D. J., L. A. Fahnestock, and M. R. Eatherton. 2012. “Development and experimental validation of a nickel–titanium shape memory alloy self-centering buckling-restrained brace.” Eng. Struct. 40 (Jul): 288–298. https://doi.org/10.1016/j.engstruct.2012.02.037.
Moehle, J., and G. G. Deierlein. 2004. “A framework methodology for performance-based earthquake engineering.” In Vol. 679 of Proc., 13th World Conf. Earthquake Engineering, 12. Vancouver, BC, Canada: Canadian Association for Earthquake Engineering.
Ozbulut, O. E., S. Daghash, and M. M. Sherif. 2016. “Shape memory alloy cables for structural applications.” J. Mater. Civ. Eng. 28 (4): 04015176. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001457.
PEER (Pacific Earthquake Engineering Research) Center. 2010. Technical report for the PEER ground motion database web application. Berkeley, CA: Univ. of California.
Ping, Y., C. Fang, Y. Chen, and M. C. Yam. 2021. “Seismic robustness of self-centering braced frames suffering tendon failure.” Earthquake Eng. Struct. Dyn. 50 (6): 1671–1691. https://doi.org/10.1002/eqe.3421.
Qiu, C., C. Fang, D. Liang, X. Du, and M. C. Yam. 2020. “Behavior and application of self-centering dampers equipped with buckling-restrained SMA bars.” Smart Mater. Struct. 29 (3): 035009. https://doi.org/10.1088/1361-665X/ab6883.
Qiu, C., T. Jiang, J. Liu, and X. Du. 2022a. “Seismic performance of knee-braced frames equipped with NiTi BRBs.” J. Constr. Steel Res. 197 (Oct): 107480. https://doi.org/10.1016/j.jcsr.2022.107480.
Qiu, C., J. Liu, and X. Du. 2022b. “Cyclic behavior of SMA slip friction damper.” Eng. Struct. 250 (Jan): 113407. https://doi.org/10.1016/j.engstruct.2021.113407.
Qiu, C., J. Liu, T. Jiang, J. Jia, and X. Du. 2023. “Experimental study on a steel self-centering rocking column with SMA slip friction dampers.” Eng. Struct. 274 (Jan): 115126. https://doi.org/10.1016/j.engstruct.2022.115126.
Qiu, C., J. Liu, J. Teng, Z. Li, and X. Du. 2021. “Seismic performance evaluation of multi-story CBFs equipped with SMA-friction damping braces.” J. Intell. Mater. Syst. Struct. 32 (15): 1725–1743. https://doi.org/10.1177/1045389X20987000.
Qiu, C., Y. Zhang, H. Li, B. Qu, H. Hou, and L. Tian. 2018. “Seismic performance of Concentrically Braced Frames with non-buckling braces: A comparative study.” Eng. Struct. 154 (Jan): 93–102. https://doi.org/10.1016/j.engstruct.2017.10.075.
Qiu, C., and X. Zhao. 2018. “Temperature effect on seismic performance of CBFs equipped with SMA braces.” Smart Struct. Syst. 22 (5): 495–508. https://doi.org/10.12989/sss.2018.22.5.495.
Qiu, C., and S. Zhu. 2014. “Characterization of cyclic properties of superelastic monocrystalline Cu–Al–Be SMA wires for seismic applications.” Constr. Build. Mater. 72 (Dec): 219–230. https://doi.org/10.1016/j.conbuildmat.2014.08.065.
Qiu, C., and S. Zhu. 2016. “High-mode effects on seismic performance of multi-story self-centering braced steel frames.” J. Constr. Steel Res. 119 (Mar): 133–143. https://doi.org/10.1016/j.jcsr.2015.12.008.
Qiu, C., and S. Zhu. 2017a. “Performance-based seismic design of self-centering steel frames with SMA-based braces.” Eng. Struct. 130 (Jan): 67–82. https://doi.org/10.1016/j.engstruct.2016.09.051.
Qiu, C., and S. Zhu. 2017b. “Shake table test and numerical study of self-centering steel frame with SMA braces.” Earthquake Eng. Struct. Dyn. 46 (1): 117–137. https://doi.org/10.1002/eqe.2777.
Tremblay, R., M. Lacerte, and C. Christopoulos. 2008. “Seismic response of multistory buildings with self-centering energy dissipative steel braces.” J. Struct. Eng. 134 (1): 108–120. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(108).
Wang, B., S. Zhu, and F. Casciati. 2020. “Experimental study of novel self-centering seismic base isolators incorporating superelastic shape memory alloys.” J. Struct. Eng. 146 (7): 04020129. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002679.
Wang, W., C. Fang, and J. Liu. 2016. “Large size superelastic SMA bars: Heat treatment strategy, mechanical property and seismic application.” Smart Mater. Struct. 25 (7): 075001. https://doi.org/10.1088/0964-1726/25/7/075001.
Wu, J., N. Li, W. Xie, Y. Zhou, Z. Ji, and P. Shi. 2014. “Post-disaster recovery and economic impact of catastrophes in China.” Earthquake Spectra 30 (4): 1825–1846. https://doi.org/10.1193/090511EQS221M.
Xiao, Y., M. O. Eberhard, Y. Zhou, and J. F. Stanton. 2021. “Proportioning of self-centering energy dissipative braces.” Earthquake Eng. Struct. Dyn. 50 (10): 2613–2633. https://doi.org/10.1002/eqe.3463.
Xu, L., X. Fan, and Z. Li. 2020. “Seismic assessment of buildings with prepressed spring self-centering energy dissipation braces.” J. Struct. Eng. 146 (2): 04019190. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002493.
Youssef, M. A., M. S. Alam, and M. Nehdi. 2008. “Experimental investigation on the seismic behavior of beam-column joints reinforced with superelastic shape memory alloys.” J. Earthquake Eng. 12 (7): 1205–1222. https://doi.org/10.1080/13632460802003082.
Zhang, G., L. Xu, and Z. Li. 2021. “Development and seismic retrofit of an innovative modular steel structure connection using symmetrical self-centering haunch braces.” Eng. Struct. 229 (Feb): 111671. https://doi.org/10.1016/j.engstruct.2020.111671.
Zhang, Y., J. A. Camilleri, and S. Zhu. 2008. “Mechanical properties of superelastic Cu–Al–Be wires at cold temperatures for the seismic protection of bridges.” Smart Mater. Struct. 17 (2): 025008. https://doi.org/10.1088/0964-1726/17/2/025008.
Zhou, X., K. Ke, M. C. Yam, Q. Zhao, Y. Huang, and J. Di. 2021. “Shape memory alloy plates: Cyclic tension-release performance, seismic applications in beam-to-column connections and a structural seismic demand perspective.” Thin-Walled Struct. 167 (Oct): 108158. https://doi.org/10.1016/j.tws.2021.108158.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 10October 2024

History

Received: Nov 17, 2023
Accepted: May 30, 2024
Published online: Aug 7, 2024
Published in print: Oct 1, 2024
Discussion open until: Jan 7, 2025

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Ph.D. Student, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China. ORCID: https://orcid.org/0000-0002-2525-626X. Email: [email protected]
Professor, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China (corresponding author). ORCID: https://orcid.org/0000-0001-5323-7229. Email: [email protected]
Jiawang Liu [email protected]
Ph.D. Student, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China. Email: [email protected]

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