Abstract
Friction tuned mass damper (FTMD) as one of the variety passive devices is a combination of the traditional TMD system with dry friction damping. This study presents the seismic vulnerability control of a 10-story steel moment–resisting frames (SMRFs) equipped with an optimized FTMD system. The optimized FTMD system placed in the roof story of the SMRF is first found through minimizing the maximum value of the Park–Ang damage index of stories averaged over seven scaled earthquake excitations. Further, the seismic damage induced by the scaled earthquake excitations is uniformly distributed throughout the height of the SMRF. Then, the seismic assessment of the SMRF with the optimized FTMD is implemented by fragility analysis. Results indicate that the seismic damage over the height of the optimized FTMD-equipped SMRF is uniformly distributed in comparison with that of the uncontrolled SMRF. The seismic fragility assessment also indicates that the optimized FTMD improves the seismic performance of the controlled SMRF compared to that of the uncontrolled SMRF at different damage states.
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References
Abdeddaim M, Djerouni S, Ounis A, Athamnia B, Noroozinejad FE (2022) Optimal design of magnetorheological damper for seismic response reduction of Base-Isolated structures considering Soil-Structure interaction. Structures 38:733–752
American Society of Civil Engineers (2017) Minimum Design Loads and Associated Criteria for Buildings and Other Structures.
Arvind R, Santhi MH (2022) A state of art review on hybrid passive energy dissipating devices. J Vib Eng Technol 10:1931–1954
Bozorgnia Y, Bertero VV (2001) Evaluation of damage potential of recorded earthquake ground motion. Seismol Res Lett 72
Coello Coello CA (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Methods Appl Mech Eng 191:1245–1287
Cosenza E, Manfredi G (2000) Damage indices and damage measures. Prog Struct Mat Eng 2:50–59
Council AT, Agency USFEM (2009) Quantification of building seismic performance factors. US Department of Homeland Security, FEMA
Dolsek M (2009) Incremental dynamic analysis with consideration of modeling uncertainties. Earthq Eng Struct Dyn 38:805–825
Etedali S, Akbari M, Seifi M (2019) MOCS-based optimum design of TMD and FTMD for tall buildings under near-field earthquakes including SSI effects. Soil Dyn Earthq Eng 119:36–50
Gad AG (2022) Particle swarm optimization algorithm and its applications: a systematic review. Arch Comput Methods Eng 29:2531–2561
Gewei Z, Basu B (2011) A study on friction-tuned mass damper: harmonic solution and statistical linearization. J Vib Control 17:721–731
Gharehbaghi S (2018) Damage controlled optimum seismic design of reinforced concrete framed structures. Struct Eng Mech 65:53–68
Ghobarah A, Abou-Elfath H, Biddah A (1999) Response-based damage assessment of structures. Earthq Eng Struct Dyn 28:79–104
Gholizadeh S, Hasançebi O, Eser H, Koçkaya O (2022) Seismic collapse safety based optimization of steel Moment-Resisting frames. Structures 45:329–342
Ghosh S, Datta D, Katakdhond AA (2011) Estimation of the Park-Ang damage index for planar multi-storey frames using equivalent single-degree systems. Eng Struct 33:2509–2524
Gong Y, Xue Y, Xu L (2013) Optimal capacity design of eccentrically braced steel frameworks using nonlinear response history analysis. Eng Struct 48:28–36
Den Hartog JP (1985) Mechanical vibrations. Courier Corporation
He S, Wu QH, Wen JY, Saunders JR, Paton RC (2004) A particle swarm optimizer with passive congregation. Biosystems 78:135–147
Ibarra LF, Medina RA, Krawinkler H (2005) Hysteretic models that incorporate strength and stiffness deterioration. Earthq Eng Struct Dyn 34:1489–1511
Inaudi JA, Kelly JM (1995) Mass damper using friction-dissipating devices. J Eng Mech-Asce 121:142–149
Jalayer F, Cornell CA (2004) A technical framework for probability-based demand and capacity factor design (DCFD) seismic formats. Pacific Earthq Eng Res Center
Jarrahi H, Asadi A, Khatibinia M, Etedali S (2020a) Optimal design of rotational friction dampers for improving seismic performance of inelastic structures. J Build Eng 27:100960
Jarrahi H, Asadi A, Khatibinia M, Etedali S, Samadi A (2020b) Simultaneous optimization of placement and parameters of rotational friction dampers for seismic-excited steel moment-resisting frames. Soil Dyn Earthq Eng 136:106193
Kamgar R, Samea P, Khatibinia M (2018) Optimizing parameters of tuned mass damper subjected to critical earthquake. Struct Design Tall Spec Build 27:e1460
Kaveh A, Zolghadr A (2012) Truss optimization with natural frequency constraints using a hybridized CSS-BBBC algorithm with trap recognition capability. Comput Struct 102–103:14–27
Kennedy J,Eberhart R (1995) Particle swarm optimization. Proceedings of ICNN'95—international conference on neural networks, vol 1944, pp 1942–1948
Khatibinia M, Gholami H, Kamgar R (2018) Optimal design of tuned mass dampers subjected to continuous stationary critical excitation. Int J Dyn Control 6:1094–1104
Khatibinia M, Jalaipour M, Gharehbaghi S (2019) Shape optimization of U-shaped steel dampers subjected to cyclic loading using an efficient hybrid approach. Eng Struct 197:108874
Khatibinia M, Ahrari A, Gharehbaghi S, Sarafrazi SR (2021) An efficient approach for optimum shape design of steel shear panel dampers under cyclic loading. Smart Struct Syst Int J 27:547–557
Khatibinia M, Akbari S, Yazdani H, Gharehbaghi S (2024) Damage-based optimal control of steel moment-resisting frames equipped with tuned mass dampers. J Vib Control 30:659–672
Kim S-Y, Lee C-H (2020) Analysis and optimization of multiple tuned mass dampers with coulomb dry friction. Eng Struct 209:110011
Kunnath SK, Reinhorn AM, Lobo RF (1992) IDARC Version 3.0: a program for the inelastic damage analysis of reinforced concrete structures
Léger P, Kervégant G, Tremblay R (2010) Incremental dynamic analysis of nonlinear structures: selection of input ground motions, vol 1, pp 311–320
Lignos DG, Kolios D, Miranda E (2010) Fragility assessment of reduced beam section moment connections. J Struct Eng 136:1140–1150
Louroza MA, Roitman N, Magluta C (2005) Vibration reduction using passive absorption system with Coulomb damping. Mech Syst Signal Process 19:537–549
Mander JB, Dhakal RP, Mashiko N, Solberg KM (2007) Incremental dynamic analysis applied to seismic financial risk assessment of bridges. Eng Struct 29:2662–2672
McKenna F (2011) OpenSees: a framework for earthquake engineering simulation. Comput Sci Eng 13:58–66
Mohebbi M, Joghataie A (2012) Designing optimal tuned mass dampers for nonlinear frames by distributed genetic algorithms. Struct Design Tall Spec Build 21:57–76
Nasr A, Mrad C, Nasri R (2018) Friction tuned mass damper optimization for structure under harmonic force excitation. Struct Eng Mech 65
Park YJ, Ang AHS (1985) Mechanistic seismic damage model for reinforced concrete. J Struct Eng 111:722–739
Park Y-J, Ang AH-S, Wen YK (1985) Seismic damage analysis of reinforced concrete buildings. J Struct Eng 111:740–757
Pisal AY, Jangid RS (2016) Dynamic response of structure with tuned mass friction damper. Int J Adv Struct Eng 8:363–377
Pujades LG, Vargas-Alzate YF, Barbat AH, González-Drigo JR (2015) Parametric model for capacity curves. Bull Earthq Eng 13:1347–1376
Reinhorn A, Roh H, Sivaselvan M, Kunnath S, Valles RE, Madan A, Li C, Lobo R, Park YJ (2009) IDARC 2D Version 7.0: a program for the inelastic damage analysis of structures
Ricciardelli F, Vickery BJ (1999) Tuned vibration absorbers with dry friction damping. Earthq Eng Struct Dyn 28:707–723
Shayesteh Bilondi MR, Yazdani H, Khatibinia M (2018) Seismic energy dissipation-based optimum design of tuned mass dampers. Struct Multidiscip Optim 58:2517–2531
Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In Proceedings of IEEE international conference on evolutionary computation. IEEE world congress on computational intelligence (Cat. No.98TH8360), pp 69–73
Tell S, Leander J, Andersson A, Ülker-Kaustell M (2021) Probability-based evaluation of the effect of fluid viscous dampers on a high-speed railway bridge. Struct Infrastruct Eng 17:1730–1742
Tirca L, Chen L, Tremblay R (2015) Assessing collapse safety of CBF buildings subjected to crustal and subduction earthquakes. J Constr Steel Res 115:47–61
Vamvatsikos D, Cornell CA (2002) Incremental dynamic analysis. Earthq Eng Struct Dyn 31:491–514
Warburton GB (1982) Optimum absorber parameters for various combinations of response and excitation parameters. Earthq Eng Struct Dyn 10:381–401
Warburton GB, Ayorinde EO (1980) Optimum absorber parameters for simple systems. Earthq Eng Struct Dyn 8:197–217
Williams MS, Sexsmith RG (1995) Seismic damage indices for concrete structures: a state-of-the-art review. Earthq Spectra 11:319–349
Wong KK (2008) Seismic energy dissipation of inelastic structures with tuned mass dampers. J Eng Mech 134:163–172
Wong KKF, Chee YL (2004) Energy dissipation of tuned mass dampers during earthquake excitations. Struct Design Tall Spec Build 13:105–121
Wong KK, Johnson J (2009) Seismic energy dissipation of inelastic structures with multiple tuned mass dampers. J Eng Mech 135:265–275
Zhang R, Wang W, Alam MS (2022a) Seismic evaluation of friction spring-based self-centering braced frames based on life-cycle cost. Earthq Eng Struct Dyn 51:3393–3415
Zhang R, Wang W, Fang C (2022b) Evaluation of a full-scale friction spring-based self-centering damper considering cumulative seismic demand. J Struct Eng 148:04021281
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All authors contributed to the study’s conception and design. Material preparation, data collection and analysis were performed by M. Khatibinia and F. S. Moosavi Nezhad. The first draft of the manuscript was written by Sh. Bijari and S. Gharehbaghi, and all authors commented on previous versions of the manuscript. M. Khatibinia read and approved the final manuscript.
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Khatibinia, M., Bijari, S., Nezhad, F.S.M. et al. Seismic Vulnerability Control of Steel Moment–Resisting Frames Using Optimum Friction Tuned Mass Damper. Iran J Sci Technol Trans Civ Eng (2024). https://doi.org/10.1007/s40996-024-01453-2
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DOI: https://doi.org/10.1007/s40996-024-01453-2