Technical Papers
Apr 22, 2024

Seismic Analysis and Design of a Resilient Steel Frame with Multiple Lateral Force–Resisting Systems

Publication: Journal of Structural Engineering
Volume 150, Issue 7

Abstract

Earthquake-induced damage often is caused by large deformation and floor acceleration. To ensure a fast function recovery process, controlling postevent permanent deformation also is very critical. Combining the merits of different lateral force–resisting systems is a promising solution to control these engineering demand parameters simultaneously. Therefore, this study investigated a resilient steel frame with multiple lateral force–resisting systems and developed the corresponding seismic design method. Specifically, the proposed steel frame consists of buckling-restrained braces, viscous damping braces, and a moment-resisting frame, which mainly control peak interstory drift ratio (θp), peak floor acceleration (Ap), and residual interstory drift ratio (θr), respectively. Based on the equivalent single-degree-of-freedom systems, nonlinear time-history analyses were conducted to obtain various constant-ductility response spectra. These response spectra were incorporated into the proposed design method which jointly defines θp, Ap, and θr as the performance objectives. A six-story benchmark steel frame was selected for demonstrating the seismic performance of the frame and validating the design method. Because θr is a critical metric for evaluating seismic resilience, three levels of θr were used in the design examples. The seismic analysis results indicated that the designed structures can well satisfy the preselected performance objectives.

Get full access to this article

View all available purchase options and get full access to this article.

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. 2022. Specification for structural steel buildings. ANSI/AISC 360-22. Chicago: AISC.
ASCE. 2022. Minimum design loads and associated criteria for buildings and other structures. ASCE/SEI 7-22. Reston, VA: ASCE.
Bruneau, M., S. E. Chang, R. T. Eguchi, G. C. Lee, T. D. O’Rourke, A. M. Reinhorn, M. Shinozuka, K. Tierney, W. A. Wallace, and D. von Winterfeldt. 2003. “A framework to quantitatively assess and enhance the seismic resilience of communities.” Earthquake Spectra 19 (4): 733–752. https://doi.org/10.1193/1.1623497.
Chen, Y. T., and Y. H. Chai. 2011. “Effects of brace stiffness on performance of structures with supplemental Maxwell model-based brace–damper systems.” Earthquake Eng. Struct. Dyn. 40 (1): 75–92. https://doi.org/10.1002/eqe.1023.
Cherry, S., and A. Filiatrault. 1993. “Seismic response control of buildings using friction dampers.” Earthquake Spectra 9 (3): 447–466. https://doi.org/10.1193/1.1585724.
Chhabra, J. P., and D. C. Rai. 2023. “Experimental testing of aluminum-core buckling restrained knee braced Truss moment frames for earthquake resistance.” Earthquake Eng. Struct. Dyn. 52 (3): 660–680. https://doi.org/10.1002/eqe.3780.
Christopoulos, C., A. Filiatrault, and B. Folz. 2002. “Seismic response of self-centering hysteretic SDOF systems.” Earthquake Eng. Struct. Dyn. 31 (5): 1131–1150. https://doi.org/10.1002/eqe.152.
Christopoulos, C., and S. Pampanin. 2004. “Towards performance-based design of MDOF structures with explicit consideration of residual deformations.” ISET J. Earthquake Technol. 41 (1): 53–73.
Christopoulos, C., R. Tremblay, H. J. Kim, and M. Lacerte. 2008. “Self-centering energy dissipative bracing system for the seismic resistance of structures: Development and validation.” J. Struct. Eng. 134 (1): 96–107. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(96).
Clough, R. W., and J. Penzien. 2003. Dynamics of structures. Berkeley, CA: Computers and Structures.
Engelhardt, M. D., and A. S. Husain. 1993. “Cyclic-loading performance of welded flange-bolted web connections.” J. Struct. Eng. 119 (12): 3537–3550. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:12(3537).
Erochko, J., C. Christopoulos, R. Tremblay, and H. Choi. 2011. “Residual drift response of SMRFs and BRB frames in steel buildings designed according to ASCE 7-05.” J. Struct. Eng. 137 (5): 589–599. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000296.
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).
FEMA. 2018. Seismic performance assessment of buildings: Volume 1: Methodology. FEMA P-58-1. Washington, DC: FEMA.
Guerrero, H., J. Ruiz-García, and T. Ji. 2017. “Residual displacement demands of conventional and dual oscillators subjected to earthquake ground motions characteristic of the soft soils of Mexico City.” Soil Dyn. Earthquake Eng. 98 (Jul): 206–221. https://doi.org/10.1016/j.soildyn.2017.04.014.
He, X., Y. Chen, K. Ke, T. Shao, and M. C. Yam. 2022. “Development of a connection equipped with fuse angles for steel moment resisting frames.” Eng. Struct. 265 (Aug): 114503. https://doi.org/10.1016/j.engstruct.2022.114503.
Housner, G. W. 1956. “Limit design of structures to resist earthquakes.” In Proc., 1st World Conf. on Earthquake Engineering, 1–13. Oakland, CA: Earthquake Engineering Research Institute.
Hu, S., C. Qiu, and S. Zhu. 2022. “Machine learning-driven performance-based seismic design of hybrid self-centering braced frames with SMA braces and viscous dampers.” Smart Mater. Struct. 31 (10): 105024. https://doi.org/10.1088/1361-665X/ac8efc.
Jones, S. L., G. T. Fry, and M. D. Engelhardt. 2002. “Experimental evaluation of cyclically loaded reduced beam section moment connections.” J. Struct. Eng. 128 (4): 441–451. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(441).
Kawashima, K., G. A. MacRae, J. I. Hoshikuma, and K. Nagaya. 1998. “Residual displacement response spectrum.” J. Struct. Eng. 124 (5): 523–530. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:5(523).
Kiggins, S., and C. M. Uang. 2006. “Reducing residual drift of buckling-restrained braced frames as a dual system.” Eng. Struct. 28 (11): 1525–1532. https://doi.org/10.1016/j.engstruct.2005.10.023.
Kitayama, S., and M. C. Constantinou. 2018. “Seismic performance of buildings with viscous damping systems designed by the procedures of ASCE/SEI 7-16.” J. Struct. Eng. 144 (6): 04018050. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002048.
Leelataviwat, S., S. C. Goel, and B. Stojadinović. 1999. “Toward performance-based seismic design of structures.” Earthquake Spectra 15 (3): 435–461. https://doi.org/10.1193/1.1586052.
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. on Earthquake Engineering. Beijing: Seismological Press of China.
Miranda, E., and S. Taghavi. 2005. “Approximate floor acceleration demands in multistory buildings. I: Formulation.” J. Struct. Eng. 131 (2): 203–211. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:2(203).
Nakashima, M., C. W. Roeder, and Y. Maruoka. 2000. “Steel moment frames for earthquakes in United States and Japan.” J. Struct. Eng. 126 (8): 861–868. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(861).
Neuenhofer, A., and F. C. Filippou. 1997. “Evaluation of nonlinear frame finite-element models.” J. Struct. Eng. 123 (7): 958–966. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:7(958).
Newmark, N. M., and W. J. Hall. 1982. Earthquake spectra and design. Berkeley, CA: Earthquake Engineering Research Institute, Univ. of California at Berkeley.
Pavlou, E., and M. C. Constantinou. 2006. “Response of nonstructural components in structures with damping systems.” J. Struct. Eng. 132 (7): 1108–1117. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:7(1108).
Pettinga, D., C. Christopoulos, S. Pampanin, and N. Priestley. 2007. “Effectiveness of simple approaches in mitigating residual deformations in buildings.” Earthquake Eng. Struct. Dyn. 36 (12): 1763–1783. https://doi.org/10.1002/eqe.717.
Priestley, M. J. N., G. M. Calvi, and M. J. Kowalsky. 2007. Displacement-based seismic design of structures. Pavia, Italy: IUSS Press.
Qiu, C., L. Cheng, and X. Du. 2022a. “Performance-based plastic design of multi-story hybrid braced frames with buckling-restrained braces and shape memory alloy braces.” J. Constr. Steel Res. 198 (Nov): 107576. https://doi.org/10.1016/j.jcsr.2022.107576.
Qiu, C., L. Cheng, and X. Du. 2023. “Seismic design of hybrid braced frames with self-centering braces and fluid viscous damping braces.” Eng. Struct. 280 (Apr): 115728. https://doi.org/10.1016/j.engstruct.2023.115728.
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., 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.
Qu, B., C. Dai, J. Qiu, H. Hou, and C. Qiu. 2019. “Testing of seismic dampers with replaceable U-shaped steel plates.” Eng. Struct. 179 (Jan): 625–639. https://doi.org/10.1016/j.engstruct.2018.11.016.
Rodriguez, M. E., J. I. Restrepo, and A. J. Carr. 2002. “Earthquake-induced floor horizontal accelerations in buildings.” Earthquake Eng. Struct. Dyn. 31 (3): 693–718. https://doi.org/10.1002/eqe.149.
Sabelli, R., S. Mahin, and C. Chang. 2003. “Seismic demands on steel braced frame buildings with buckling-restrained braces.” Eng. Struct. 25 (5): 655–666. https://doi.org/10.1016/S0141-0296(02)00175-X.
SEAOC (Structural Engineers Association of California). 1995. Vision 2000: Performance based seismic engineering of buildings. Sacramento, CA: SEAOC.
Seo, C. Y. 2005. “Influence of ground motion characteristics and structural parameters on seismic responses of SDOF systems.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Lehigh Univ.
Somerville, P. G., N. Smith, S. Punyamurthula, and J. Sun. 1997. Development of ground motion time histories for phase 2 of the FEMA/SAC steel project. Sacramento, CA: SAC Joint Venture.
Tremblay, R., A. Filiatrault, P. Timler, and M. Bruneau. 1995. “Performance of steel structures during the 1994 Northridge earthquake.” Can. J. Civ. Eng. 22 (2): 338–360. https://doi.org/10.1139/l95-046.
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).
Xiang, Y., and Y. Koetaka. 2019. “Ductility demand of bilinear hysteretic systems with large post-yield stiffness: Spectral model and application in the seismic design of dual-systems.” Eng. Struct. 187 (May): 504–517. https://doi.org/10.1016/j.engstruct.2019.02.011.
Zareian, F., and A. Kanvinde. 2013. “Effect of column-base flexibility on the seismic response and safety of steel moment-resisting frames.” Earthquake Spectra 29 (4): 1537–1559. https://doi.org/10.1193/030512EQS062M.
Zhang, H., X. Zhou, K. Ke, M. C. Yam, Y. Shi, and H. Zhang. 2023. “Hybrid self-centering connection employing energy dissipation sequences: Experimental study and a structural seismic demand perspective.” J. Struct. Eng. 149 (11): 04023157. https://doi.org/10.1061/JSENDH.STENG-12306.
Zhang, R., C. Qiu, L. Huang, and J. Jia. 2022. “Approximate seismic performance of full and partial self-centering systems based on spectral analysis of SDOF systems.” Structures 37 (Mar): 1080–1097. https://doi.org/10.1016/j.istruc.2022.01.075.
Zhu, S., and Y. Zhang. 2008. “Seismic analysis of concentrically braced frame systems with self-centering friction damping braces.” J. Struct. Eng. 134 (1): 121–131. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(121).

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 7July 2024

History

Received: Jun 8, 2023
Accepted: Jan 25, 2024
Published online: Apr 22, 2024
Published in print: Jul 1, 2024
Discussion open until: Sep 22, 2024

Permissions

Request permissions for this article.

Authors

Affiliations

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]; [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]
Xiuli Du, Ph.D. [email protected]
Professor, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share