Feasibility study of using endurance time method for seismic evaluation of self-centering buckling restrained braced frame (SC-BRC-BF)

Authors
M. J. Ebrahimi Majumerd 1
ا. Mohammadi Dehcheshmeh 2
V. broujerdian 3
1 M.Sc. Graduate, Structural Engineering, Iran University of Science and Technology
2 PhD Candidate, Earthquake Engineering, Civil Eng., Iran University of science and Technology
3 Assistant Professor, Structural Engineering, Iran University of Science and Technology
DOI: 10.22034/22.2.8
Abstract
The conventional bracing frame (CBF) systems show a limited drift capacity before buckling subjected to seismic loads. So, the induced damage in the structure reduces the strength and stiffness. In the last two decades, self-centering (SC) systems have been developed to resolve the deficiencies of the conventional seismic-resistant systems. In SC systems, the structural damage and residual drift are negligible, while they provide sufficient strength and stiffness. In these systems, prestressed elements are used to provide the initial stiffness. On the other hand, the steel plate shear wall, bracing, beam connection to the column provide energy dissipation mechanism. These elements are used as replaceable fuses after sever earthquakes. When the force applied to the structure is greater than the initial prestressing force, the gap created in the structure causes the energy dissipating elements to work. The main feature of SC systems is that they return to zero deformation after each load cycle. So, the post tensioned elements must remain elastic to be able to reduce the residual displacement. This property of the systems represents flag-shaped hysteresis lateral load-deformation curves.

Among the engineering community, three methods of equivalent lateral forces (ELF), dynamic spectral analysis and dynamic time history analysis are commonly used for seismic analysis of structures. The endurance time (ET) method is a new method for seismic analysis and also for performance-based design of structures. In this method, the structure is subjected to special ET accelerations in which the dynamic response of the structure increases with time. The time needed for the structural failure index (such as the maximum drift of stories) to reach a certain level of performance or failure is defined as the structural ET. As a result, a structure that has a longer ET, has better performance against earthquakes.

The main advantages of the ET method include: 1) by providing a suitable estimate of the structural response in each time history analysis, saves a lot of computational time for seismic evaluation, 2) the nonlinear properties of the structures may be considered which can be used for a variety of structures and complex behavior, 3) this method has a simple concept and principles for engineering applications, and 4) this method has a high capability for experimental work with a shake table.

In the current research, the self-centering buckling restraining column braced frame (SC-BRC-BF) system was examined. This system not only increases the drift capacity, it also reduces damage and residual drift in the system. The SC-BRC-BF system consists of two rigid cores connected by buckling resistance columns (BRC) between tha adjacent floors. The BRCs are used as replaceable fuses to dissipate the input energy and to reduce the seismic responses. Vertical post tensioned cable is used to restore the system. For this purpose, a preliminary design approach was introduced for SC-BRC-BF systems with 3, 6 and 9 stories via SAP 2000 software. The simulation of structures under time history analysis and ET method was done via OpenSees software fin a 2D framework. Different seismic responses were investigated including: 1) roof drift, 2) the maximum strain of core elements, 3) drift concentration factor (DCF), and 4) Inter-story drift. The response of structures was examined at both DBE (Design Base Earthquake) and MCE (Maximum Considered Earthquake) levels. Comparing the responses from ET method and the conventional time-history method, the error rate does not exceed 10 and 15 % at the DBE and the MCE levels, respectively. The results obtained from seismic evaluation using the two mentioned approaches, corroborated the high efficiency of ET method with a few number of time history analyzes.

Keywords

Subjects

[1] F. Shahpouri, “An Investigation on the Seismic Behavior of RC Shear Walls with Self Centering System,” Tarbiat Modares University, 2014. (In Persian).
[2] F. C. Blebo and D. A. Roke, “Seismic-resistant self-centering rocking core system,” Engineering Structures, vol. 101, pp. 193–204, Oct. 2015, doi: 10.1016/j.engstruct.2015.07.016.
[3] M. Naghavi, R. Rahnavard, R. J. Thomas, and M. Malekinejad, “Numerical evaluation of the hysteretic behavior of concentrically braced frames and buckling restrained brace frame systems,” Journal of Building Engineering, vol. 22, pp. 415–428, Mar. 2019, doi: 10.1016/j.jobe.2018.12.023.
[4] F. C. Blebo and D. A. Roke, “Seismic-resistant self-centering rocking core system with buckling restrained columns,” Engineering Structures, vol. 173, pp. 372–382, 2018.
[5] L. Chen, “Improving the Seismic Response of Tall Braced Streel Frames with Segmental Elastic Spine,” Ecole Polytechnique de Montreal, 2018.
[6] C. Cheng and C. Hsu, “Seismic behavior of self-centering designed eccentrically braced frames,” iitk.ac.in, 2012, Accessed: Feb. 27, 2019. [Online]. Available: http://www.iitk.ac.in/nicee/wcee/article/WCEE2012_1330.pdf.
[7] J. Osteraas, J. Hunt, G. Luth, P. S.-S. Convention, and undefined 2017, “Performance Based Seismic Design of the Gigafactory in Tesla Time.”
[8] T. Tani, R. Maseki, I. T.-F. in B. Environment, and undefined 2017, “Innovative seismic response-controlled system with shear wall and concentrated dampers in lower stories,” frontiersin.org, Accessed: Apr. 27, 2020. [Online]. Available: https://www.frontiersin.org/articles/10.3389/fbuil.2017.00057.
[9] G. Legzian, B. H. Hashemi, and M. Hosseini, “A study on the behavior of structures based on the rocking motion of rigid cores,” Journal of Vibroengineering, vol. 21, no. 8, pp. 2180–2195, 2019, doi: 10.21595/jve.2018.18796.
[10] M. Eatherton, J. Hajjar, X. Ma, H. Krawinkler, and G. Deierlein, “Seismic Design and Behavior of Steel Frames with Controlled Rocking—Part I: Concepts and Quasi-Static Subassembly Testing,” in Structures Congress 2010, May 2010, pp. 1523–1533, doi: 10.1061/41130(369)138.
[11] S. Moradi and H. V. Burton, “Response surface analysis and optimization of controlled rocking steel braced frames,” Bulletin of Earthquake Engineering, vol. 16, no. 10, pp. 4861–4892, Oct. 2018, doi: 10.1007/s10518-018-0373-1.
[12] R. Tremblay et al., “INNOVATIVE VISCOUSLY DAMPED ROCKING BRACED STEEL FRAMES.”
[13] M. Pollino and M. Bruneau, “Seismic Retrofit of Bridge Steel Truss Piers Using a Controlled Rocking Approach,” Journal of Bridge Engineering, vol. 12, no. 5, pp. 600–610, Sep. 2007, doi: 10.1061/(ASCE)1084-0702(2007)12:5(600).
[14] D. A. Latham and A. M. Reay, “Kilmore Street Medical Centre : Application of an Advanced Flag-Shape Steel Rocking System,” Steel Innovations Conference 2013, no. Xx, pp. 1–15, 2013.
[15] “Priestley M.J.N., (1991).Overview of PRESSS Research Program. PCI Journal 36(4), 50–57. pp.”
[16] N. Rahgozar, A. S. Moghadam, N. Rahgozar, and A. Aziminejad, “Performance evaluation of self-centring steel-braced frame,” Proceedings of the Institution of Civil Engineers: Structures and Buildings, vol. 170, no. 1, pp. 3–16, Jan. 2017, doi: 10.1680/jstbu.15.00136.
[17] “] Roke D, Sause R, Ricles JM, Seo C-Y, Lee K-S. Self-centering seismic-resistant steel concentrically-braced frames. In: Eighth U.S. national conference on earthquake engineering; 2006.”
[18] V. Broujerdian and E. Mohammadi Dehcheshmeh, “Development of fragility curves for self-centering rocking walls subjected to far and near field ground motions,” Sharif Journal of Civil Engineering, 2021, doi: 10.24200/j30.2021.57279.2897. (In Persian).
[19] E. Mohammadi Dehcheshmeh and V. Broujerdian, “Seismic Design Coefficients of Self-Centering Multiple Rocking Walls Subjected to Effect of Far and Near-Field Earthquakes,” Civil Infrastructure Researches, vol. 7, no. Issue 1 (In progress), 2021, doi: 10.22091/cer.2021.7025.1257. (In Persian).
[20] L. Wiebe and C. Christopoulos, “Mitigation of higher mode effects in base-rocking systems by using multiple rocking sections,” in Journal of Earthquake Engineering, 2009, vol. 13, no. 1 SUPPL. 1, pp. 83–108, doi: 10.1080/13632460902813315.
[21] L. Chen, R. Tremblay, L. T.-J. of C. S. Research, and undefined 2019, “Practical seismic design procedure for steel braced frames with segmental elastic spines,” Elsevier, Accessed: Apr. 27, 2020. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S0143974X18308332.
[22] “CSI. (2017). SAP2000, v19. Computer and Structures, Inc., Berkeley, CA.” .
[23] ASCE, Minimum Design Loads for Buildings and Other Structures, ASCE/SEI 7-10,. American Society of Civil Engineers (ASCE), Reston, VA., 2010.
[24] N. Rahgozar and N. Rahgozar, “Extension of direct displacement-based design for quantifying higher mode effects on controlled rocking steel cores,” Structural Design of Tall and Special Buildings, vol. 29, no. 16, p. e1800, Nov. 2020, doi: 10.1002/tal.1800.
[25] ASCE, Seismic Rehabilitation of Existing Buildings, ASCE/SEI 41-06,. American Society of Civil Engineers (ASCE), Reston, VA., 2007.
[26] F. Nikfar, “Performance Based Assessment of Steel Frames With Cartridge Dampers Using Endurance Time Method,” sharif university of technology, 2010. (In Persian).
[27] H. Estekanchi, A. VAFAEI, and A. SADEGH, “Endurance time method for seismic analysis and design of structures,” 2004, Accessed: Mar. 03, 2019. [Online]. Available: http://scientiairanica.sharif.edu/article_2540_f1bf34a38fb5c8a146f456cef9344f5f.pdf.
[28] S. M. Razavi, “Investigation of Endurance Time in seismic analysis of steel frames as compared to Spectral Analysis Method,” Sharif university of technology, 2008. (In Persian).
[29] H. E. Estekanchi, V. Valamanesh, and A. Vafai, “Application of Endurance Time method in linear seismic analysis,” Engineering Structures, vol. 29, no. 10, pp. 2551–2562, Oct. 2007, doi: 10.1016/J.ENGSTRUCT.2007.01.009.
[30] H. E. Estekanchi, K. Arjomandi, and A. Vafai, “Estimating structural damage of steel moment frames by Endurance Time method,” Journal of Constructional Steel Research, vol. 64, no. 2, pp. 145–155, Feb. 2008, doi: 10.1016/J.JCSR.2007.05.010.
[31] H. T. Riahi, H. E. Estekanchi, and A. Vafai, “Endurance Time Method-Application in Nonlinear Seismic Analysis of Single Degree of Freedom Systems,” Journal of Applied Sciences, vol. 9, no. 10, pp. 1817–1832, Oct. 2009, doi: 10.3923/jas.2009.1817.1832.
[32] H. T. Riahi and H. E. Estekanchi, “Seismic assessment of steel frames with the endurance time method,” Journal of Constructional Steel Research, vol. 66, no. 6, pp. 780–792, Jun. 2010, doi: 10.1016/J.JCSR.2009.12.001.
[33] A. A. Chiniforush, H. Estekanchi, and K. M. Dolatshahi, “Application of Endurance Time Analysis in Seismic Evaluation of an Unreinforced Masonry Monument,” Journal of Earthquake Engineering, vol. 21, no. 2, pp. 181–202, Feb. 2017, doi: 10.1080/13632469.2016.1160008.
[34] M. J. Maleki-Amin and H. E. Estekanchi, “Damage Estimation of Steel Moment-Resisting Frames by Endurance Time Method Using Damage-Based Target Time,” Journal of Earthquake Engineering, vol. 22, no. 10, pp. 1806–1835, Nov. 2018, doi: 10.1080/13632469.2017.1297265.
[35] E. Tafakori, S. Pourzeynali, and H. E. Estekanchi, “Probabilistic seismic loss estimation via endurance time method,” Earthquake Engineering and Engineering Vibration, vol. 16, no. 1, pp. 233–245, Jan. 2017, doi: 10.1007/s11803-017-0379-8.
[36] H. E. Estekanchi, M. Harati, and M. R. Mashayekhi, “An investigation on the interaction of moment-resisting frames and shear walls in RC dual systems using endurance time method,” The Structural Design of Tall and Special Buildings, vol. 27, no. 12, p. e1489, Aug. 2018, doi: 10.1002/tal.1489.
[37] H. Ahmadieh Amiri, “Seismic Performance Assessment of Steel Frame with Block Damper by Endurance Time Method,” sharif university of technology, 2017. (In Persian).
[38] et al Mazzoni S, McKenna F, Scott MH, Fenves GL, “Open System for earthquake engineering simulation (OpenSEES) user command-language manua,” Pacific Earthquake Engineering Research Center, Berkeley, CA, USA, 2009.
[39] Altin Yole Tabriz, “Aaltin Yole Buckling Resrained Braces.” http://altinyoletabriz.ir/download/catalog 2.pdf (accessed May 06, 2020).
[40] O. Ghashang pour peivasty, “Experimental Study of Buckling Restrained Brace (BRB),” University of Tabriz, 2016. (In Persian).
Modares Civil Engineering journal
Volume 22, Issue 2
May and June 2022
Pages 230-240