Performance-Based Plastic Design of Eccentrically Braced Frames Equipped with Mass Dampers and Horizontal Link Beams

Authors

1 Assistant Professor, Department of Civil-Structural Engineering, Hakim Sabzevari University, Sabzevar, Iran

2 Department of Civil Engineering, Hakim Sabzevari University, Sabzevar 9617976487-397, Iran

3 Department of Civil Engineering, Islamic Azad University, Neyshabur, Iran

Abstract

Different building codes employ varying criteria for base shear calculation, a process influenced by parameters such as construction site location and local seismicity. In most existing codes, the base shear force is distributed over the height based on the elastic analysis, while the inelastic structural behavior is incorporated indirectly. The design base shear (V) is reduced by the behavior coefficient (R) to account for the structure's nonlinear behavior, which is primarily a function of its ductility and overstrength. After strength-based design, the design story drift is calculated by multiplying the elastic displacement by a displacement amplification factor (Cd). The vertical distribution of seismic forces is mainly determined based on the first mode of the structure.
Currently, Iran employs Standard No. 2800 for determining the lateral distribution of seismic forces, a code closely aligned with UBC 1994. In contrast, the United States utilizes the IBC 2009 provisions for this purpose. There are two methods for designing structures: the Allowable Stress Design (ASD) and the Load and Resistance Factor Design (LRFD) methods. Ductility in steel structures is achieved by designating specific, strategically detailed elements as "fuses" that yield plastically during an earthquake to dissipate energy. In the seismic design of steel structures, the fuse element is designed to yield under code-specified factors, while all other members are designed for the maximum forces generated by the fuse's full capacity. However, this process does not guarantee the formation of the ideal structural mechanism envisioned by the designer. The ideal plastic mechanism involves shear yielding of the link beams coupled with flexural yielding at the base of the first-story columns during a severe earthquake. To solve this problem, the performance-based plastic design (PBPD) method was introduced in previous studies. In this method, the target displacement and the yield mechanism serve as key performance parameters. The PBPD method is founded on the energy balance approach, a concept that was firstly proposed by Housner in 1956.

Keywords

Main Subjects


Ahmadi A, Alirezaei M, Sharifi M, “Experimental study of improved seismic behaviour of eccentrically braced frames by zipper elements”, Proceedings of the Institution of Civil Engineers-Structures and Buildings, 2025. https://doi.org/10.1680/jstbu.24.00076
AISC 341-05, “Seismic provisions for structural steel buildings”, American Institute of Steel Construction, Chicago, Illinois, 2005.
Cai Y, Gu H, Shi J, Wang S, Sun C, Tong L, Xu W, “Seismic performance of a self-centering concrete frame with tuned viscous mass dampers based on mode tuning design”, Structures, 2025, 76, 108991. https://doi.org/10.1016/j.istruc.2025.108991
Chao SH, Goel SC, “Performance-based seismic design of ebf using target drift and yield mechanism as performance criteria, report No. UMCEE 05-05”, Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, 2005.
Chao SH, Goel SC, “A seismic design method for steel concentric braced frames for enhanced performance”, 4th International Conference on Earthquake Engineering, Taipei, Taiwan, 2006a, 10-11.
Chao SH, Goel SC, “Performance-based design of eccentrically braced frames using target drift and yield mechanism”, AISC Engineering Journal, Third Quarter, 2006b, 173-200. https://doi.org/10.62913/engj.v43i3.1294
Chao SH, Goel SC, Lee SS, “A seismic design lateral force distribution based on inelastic state of structures”, Earthquake Spectra, 2007, 23 (3), 547-569. https://doi.org/10.1193/1.2753549
Chao SH, Goel SC, “Performance-based plastic design of seismic resistant special truss moment frames”, AISC Engineering Journal, Second Quarter, 2008, 127-150. https://doi.org/10.62913/engj.v45i2.933
Chen W, Xu J, Yu K, Yu J, Ma M, Ma Z, “Performance-based design of FRP-confined recycled aggregate concrete powered by machine learning techniques”, Engineering Structures, 2025, 336, 120478. https://doi.org/10.1016/j.engstruct.2025.120478
Chopra AK, “Estimating seismic demands for performance-based engineering of buildings”, Proceedings of the 13th World Conference on Earthquake Engineering, Mira Digital Publishing, Canada, 2004.
Clough RW, Penzien J, “Of structures”, McGraw-Hill, NY, USA, 1975.
CSI, “PERFORM-3D v.4.0 User Manual”, Computers and Structures Inc., Berkeley, CA, 2007.
Dasgupta P, Goel SC, Parra-Montesinos G, “Performance-based seismic design and behavior of a composite buckling restrained braced frame (BRBF)”, Proceedings of the Thirteenth World Conference on Earthquake Engineering, 2004.
Furukawa S, Goel SC, Chao SH, “Seismic evaluation of eccentrically braced steel frames designed by performance-based plastic design method”, The 14th World Conference on Earthquake Engineering, October 12-17, Beijing, China, 2008.
Goel SC, Chao SH, “Performance-Based Plastic Design: Earthquake Resistant Steel Structures”, International Code Council, Washington, DC, 2008.
Housner GW, “Limit design of structures to resist earthquakes”, Proceedings of First World Conference on Earthquake Engineering, Earthquake Engineering Research Institute, Berkeley, CA, June 1956, Part 5, 1-11.
International Building Code (IBC), International Code Council, 2009.
Jiang S, Ma R, Bi K, Du X, Song J, “Negative stiffness enhanced tuned mass damper (NS-TMD) for seismic induced response mitigation of isolated bridges”, Engineering Structures, 2025, 325, 119416. https://doi.org/10.1016/j.engstruct.2024.119416
Lee SS, Goel SC, “Performance-based design of steel moment frames using target drift and yield mechanism, Report No. UMCEE 01-17”, Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, 2001.
Leelataviwat S, Goel SC, Stojadinović B, “Drift and yield mechanism based seismic design and upgrading of steel moment frames, Report No. UMCEE 98-29”, Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, 1998.
Leelataviwat S, Goel SC, Stojadinović B, “Toward performance-based seismic design of structures”, Earthquake Spectra, 1999, 15 (3). https://doi.org/10.1193/1.1586052
Leelataviwat S, Saewon W, Goel SC, “An energy-based method for seismic evaluation of structures”, Proceedings of Structural Engineers Association of California Convention, SEAOC 2007, Lake Tahoe, CA, September, 2007, 26 (29), 21-31. https://doi.org/10.1061/41084(364)70
Li T, Su M, Shi G, Guo J, Zhao H, “Damage and collapse assessment of high-strength steel-composite K-shaped eccentrically-braced frame based on deformation and energy dissipation”, Journal of Building Engineering, 2025, 114, 114298. https://doi.org/10.1016/j.jobe.2025.114298
Li Y, Xue J, Yuan H, Huang H, Zhang Y, Wang Q, “Seismic performance of special-shaped column prefabricated eccentrically braced frame with low-yield-point links”, Journal of Constructional Steel Research, 2026, 236, 110019. https://doi.org/10.1016/j.jcsr.2025.110019
Ma C, Gernay T, “Economic impact of performance-based fire design of composite steel frame structures”, Engineering Structures, 2025, 338, 120542. https://doi.org/10.1016/j.engstruct.2025.120542
NEHRP, “Commentary on recommended provisions for the development of seismic regulations for new buildings (FEMA 369)”, Federal Emergency Management Agency, Washington, D.C, 2001a.
NEHRP, “Recommended provisions for the development of seismic regulations for new buildings (FEMA 368)”, Federal Emergency Management Agency, Washington, D.C, 2001b.
Nuñez E, Mata R, Melo D, “Seismic performance of eccentrically braced frames with intermediate- and long-links: An IDA-based study using Chilean earthquakes”, Structures, 2025, 82, 110452. https://doi.org/10.1016/j.istruc.2025.110452
Rakhsha F, Hatami S, Gorji Azandariani M, Alipour Mansourkhani A, Davani M, “Resistance of eccentric braced steel frames against progressive collapse and overload factor”, Structures, 2024, 70, 107933. https://doi.org/10.1016/j.istruc.2024.107933
Standard No. 2800, “Iranian code of practice for seismic resistant design of buildings”, Edition 4, 2016.
Tai Y, Cheng L, Liu L, Bao H, Wang S, “Optimal design and performance analysis of a tuned negative-stiffness inerter mass damper for vibration control systems”, Structures, 2025, 73, 108163. https://doi.org/10.1016/j.istruc.2024.108163
Tran NA, Anh ND, Nguyen NL, Bui HL, Cao HQ, “Passive or active control of an actual building under earthquakes using rolling rim-type TMD: A comparative study”, Soil Dynamics and Earthquake Engineering, 2026, 200, 109828. https://doi.org/10.1016/j.soildyn.2025.109828
Tran NA, Bui HL, “Rolling tuned mass damper for vibration control of building structures subjected to earthquakes: A comparative study”, Soil Dynamics and Earthquake Engineering, 2025, 194, 109376. https://doi.org/10.1016/j.soildyn.2025.109376
Uniform Building Code (UBC), “International conference of building officials”, Whittier, Calif, 1994.
Uniform Building Code (UBC), “International conference of building officials”, Whittier, Calif, 1997.