A combined control strategy using tuned liquid dampers to reduce displacement demands of base-isolated structures: a probabilistic approach

Abstract

This paper investigates a hybrid structural control system using tuned liquid dampers (TLDs) and lead-rubber bearing (LRB) systems for mitigating earthquake-induced vibrations. Furthermore, a new approach for taking into account the uncertainties associated with the steel shear buildings is proposed. In the proposed approach, the probabilistic distributions of the stiffness and yield properties of stories of a set of reference steel moment frame structures are derived through Monte-Carlo sampling. The approach is applied to steel shear buildings isolated with LRB systems. The base isolation systems are designed for different target base displacements by minimizing a relative performance index using Genetic Algorithm. Thereafter, the base-isolated structures are equipped with TLDs and a combination of the base and TLD properties is sought by which the maximum reduction occurs in the base displacement without compromising the performance of the system. In addition, the effects of TLD properties on the performance of the system are studied through a parametric study. Based on the analyses results, the base displacement can be reduced 23% by average, however, the maximum reduction can go beyond 30%.

Keywords

tuned liquid damper / lead-rubber bearing system / probabilistic framework / steel shear building / relative performance index / Monte-Carlo sampling

References

[1] Yang T T Y, Li Y. Performance assessment of innovative seismic resilient steel knee braced frame. Frontiers of Structural and Civil Engineering, 2016, 10(3): 291–302

[2] Dong B, Ricles J M, Sause R. Seismic performance of steel MRF building with nonlinear viscous dampers. Frontiers of Structural and Civil Engineering, 2016, 10(3): 254–271

[3] Chou C C, Chung P T, Wu T H, Beato A R O. Validation of a steel dual-core self-centering brace (DC-SCB) for seismic resistance: from brace member to one-story one-bay braced frame tests. Frontiers of Structural and Civil Engineering, 2016, 10(3): 303–311

[4] Heidari A H, Etedali S, Javaheri-Tafti M R. A hybrid LQR-PID control design for seismic control of buildings equipped with ATMD. Frontiers of Structural and Civil Engineering, 2018, 12(1): 44–57

[5] Chey M H, Chase J G, Mander J B, Carr A J. Aseismic smart building isolation systems under multi-level earthquake excitations: Part II, energy-dissipation and damage reduction. Frontiers of Structural and Civil Engineering, 2015, 9(3): 297–306

[6] Chey M H, Chase J G, Mander J B, Carr A J. Aseismic smart building isolation systems under multi-level earthquake excitations: Part I, conceptual design and nonlinear analysis. Frontiers of Structural and Civil Engineering, 2015, 9(3): 286–296

[7] Chey M H, Chase J G, Mander J B, Carr A J. Innovative seismic retrofitting strategy of added stories isolation system. Frontiers of Structural and Civil Engineering, 2013, 7(1): 13–23

[8] Toopchi‐Nezhad H, Tait M J, Drysdale R G. Testing and modeling of square carbon fiber‐reinforced elastomeric seismic isolators. Structural Control and Health Monitoring, 2008, 15(6): 876–900

[9] Xu Z D, Huang X H, Guo Y F, Wang S A. Study of the properties of a multi-dimensional earthquake isolation device for reticulated structures. Journal of Constructional Steel Research, 2013, 88: 63–78

[10] Lee D, Constantinou M C. Quintuple friction pendulum isolator: Behavior, modeling, and validation. Earthquake Spectra, 2016, 32(3): 1607–1626

[11] Castaldo P, Tubaldi E. Influence of FPS bearing properties on the seismic performance of base‐isolated structures. Earthquake Engineering & Structural Dynamics, 2015, 44(15): 2817–2836

[12] CastaldoP, Amendola G, and PalazzoB. Seismic fragility and reliability of structures isolated by friction pendulum devices: Seismic reliability‐based design (SRBD). Earthquake Engineering & Structural Dynamics, 2016, 46: 425–446

[13] Castaldo P, Palazzo B, Della Vecchia P. Seismic reliability of base-isolated structures with friction pendulum bearings. Engineering Structures, 2015, 95: 80–93

[14] CastaldoP, Palazzo B, and Ferrentino T. Seismic reliability‐based ductility demand evaluation for inelastic base‐isolated structures with friction pendulum devices. Earthquake Engineering & Structural Dynamics, 2016, 125: 349–363

[15] Castaldo P, Palazzo B, Della Vecchia P. Life-cycle cost and seismic reliability analysis of 3D systems equipped with FPS for different isolation degrees. Engineering Structures, 2016, 125: 349–363

[16] Tubaldi E, Ragni L, Dall’Asta A, Ahmadi H, Muhr A. Stress softening behaviour of HDNR bearings: modelling and influence on the seismic response of isolated structures. Earthquake Engineering & Structural Dynamics, 2017, 46(12): 2033–2054

[17] Tubaldi E, Mitoulis S A, Ahmadi H, Muhr A. A parametric study on the axial behaviour of elastomeric isolators in multi-span bridges subjected to horizontal seismic excitations. Bulletin of Earthquake Engineering, 2016, 14(4): 1285–1310

[18] Cancellara D, De Angelis F. Seismical protection properties of high damping rubber bearing and lead rubber bearing base isolation systems for multi-storey RC buildings. Applied Mechanics and Materials, 2012, 234: 90–95

[19] Cancellara D, De Angelis F. Nonlinear dynamic analysis for multi-storey RC structures with hybrid base isolation systems in presence of bi-directional ground motions. Composite Structures, 2016, 154: 464–492

[20] Cancellara D, De Angelis F. Assessment and dynamic nonlinear analysis of different base isolation systems for a multi-storey RC building irregular in plan. Computers & Structures, 2017, 180: 74–88

[21] Palazzo B, Petti L. Combined control strategy: base isolation and tuned mass damping. ISET Journal of Earthquake Technology, 1999, 36(2–4): 121–137

[22] Taniguchi T, Der Kiureghian A, Melkumyan M. Effect of tuned mass damper on displacement demand of base-isolated structures. Engineering Structures, 2008, 30(12): 3478–3488

[23] Olson D E, Reed D A. A nonlinear numerical model for sloped‐bottom tuned liquid dampers. Earthquake Engineering & Structural Dynamics, 2001, 30(5): 731–743

[24] Gardarsson S, Yeh H, Reed D. Behavior of sloped-bottom tuned liquid dampers. Journal of Engineering Mechanics, 2001, 127(3): 266–271

[25] Fujino Y, Sun L, Pacheco B M, Chaiseri P. Tuned liquid damper (TLD) for suppressing horizontal motion of structures. Journal of Engineering Mechanics, 1992, 118(10): 2017–2030

[26] Sun L M, Fujino Y, Pacheco B M, Chaiseri P. Modelling of tuned liquid damper (TLD). Journal of Wind Engineering and Industrial Aerodynamics, 1992, 43(1–3): 1883–1894

[27] Chen W, Haroun M A, Liu F. Large amplitude liquid sloshing in seismically excited tanks. Earthquake Engineering & Structural Dynamics, 1996, 25(7): 653–669

[28] Sun L M, Fujino Y, Chaiseri P, Pacheco B M. The properties of tuned liquid dampers using a TMD analogy. Earthquake Engineering & Structural Dynamics, 1995, 24(7): 967–976

[29] Tait M J. Modelling and preliminary design of a structure-TLD system. Engineering Structures, 2008, 30(10): 2644–2655

[30] Yu J, Wakahara T, Reed D A. A non-linear numerical model of the tuned liquid damper. Earthquake Engineering & Structural Dynamics, 1999, 28(6): 671–686

[31] Ruiz R O, Lopez-Garcia D, Taflanidis A A. An efficient computational procedure for the dynamic analysis of liquid storage tanks. Engineering Structures, 2015, 85: 206–218

[32] Lee S K, Park E C, Min K W, Lee S H, Chung L, Park J H. Real-time hybrid shaking table testing method for the performance evaluation of a tuned liquid damper controlling seismic response of building structures. Journal of Sound and Vibration, 2007, 302(3): 596–612

[33] Sorkhabi A A, Malekghasemi H, Mercan O. Dynamic behaviour and performance evaluation of tuned liquid dampers (TLDs) using real-time hybrid simulation. In: Proceedings of the ASCE Structures Congress. Chicago: American Society of Civil Engineers (ASCE), 2012, 2153–2162

[34] Banerji P, Murudi M, Shah A H, Popplewell N. Tuned liquid dampers for controlling earthquake response of structures. Earthquake Engineering & Structural Dynamics, 2000, 29(5): 587–602

[35] Tait M J, Deng X. The performance of structure‐tuned liquid damper systems with different tank geometries. Structural Control and Health Monitoring, 2010, 17(3): 254–277

[36] Ashasi-Sorkhabi A, Malekghasemi H, Ghaemmaghami A, Mercan O. Experimental investigations of tuned liquid damper-structure interactions in resonance considering multiple parameters. Journal of Sound and Vibration, 2017, 388: 141–153

[37] Samanta A, Banerji P. Earthquake vibration control using sloshing liquid dampers in building structures. Journal of Earthquake and Tsunami, 2012, 6(1): 1250002

[38] Love J S, Tait M J. Multiple tuned liquid dampers for efficient and robust structural control. Journal of Structural Engineering, 2015, 141(12): 04015045

[39] Wang J, Gui Y, Zhu F, Jin F, Zhou M. Real-time hybrid simulation of multi‐story structures installed with tuned liquid damper. Structural Control and Health Monitoring, 2016, 23(7): 1015–1031

[40] Love J S, Tait M J, Toopchi-Nezhad H. A hybrid structural control system using a tuned liquid damper to reduce the wind induced motion of a base isolated structure. Engineering Structures, 2011, 33(3): 738–746

[41] Warnitchai P, Pinkaew T. Modelling of liquid sloshing in rectangular tanks with flow-dampening devices. Engineering Structures, 1998, 20(7): 593–600

[42] Badawy M F, Msekh M A, Hamdia K M, Steiner M K, Lahmer T, Rabczuk T. Hybrid nonlinear surrogate models for fracture behavior of polymeric nanocomposites. Probabilistic Engineering Mechanics, 2017, 50: 64–75

[43] Hamdia K M, Ghasemi H, Zhuang X, Alajlan N, Rabczuk T. Sensitivity and uncertainty analysis for flexoelectric nanostructures. Computer Methods in Applied Mechanics and Engineering, 2018, 337: 95–109

[44] Hamdia K M, Msekh M A, Silani M, Vu-Bac N, Zhuang X, Nguyen-Thoi T, Rabczuk T. Uncertainty quantification of the fracture properties of polymeric nanocomposites based on phase field modeling. Composite Structures, 2015, 133: 1177–1190

[45] Hamdia K M, Silani M, Zhuang X, He P, Rabczuk T. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 2017, 206(2): 215–227

[46] Vu-Bac N, Lahmer T, Keitel H, Zhao J, Zhuang X, Rabczuk T. Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations. Mechanics of Materials, 2014, 68: 70–84

[47] Son Y K, Savage G J. Optimal probabilistic design of the dynamic performance of a vibration absorber. Journal of Sound and Vibration, 2007, 307(1–2): 20–37

[48] Yu H, Gillot F, Ichchou M. Reliability based robust design optimization for tuned mass damper in passive vibration control of deterministic/uncertain structures. Journal of Sound and Vibration, 2013, 332(9): 2222–2238

[49] Debbarma R, Chakraborty S, Kumar Ghosh S. Optimum design of tuned liquid column dampers under stochastic earthquake load considering uncertain bounded system parameters. International Journal of Mechanical Sciences, 2010, 52(10): 1385–1393

[50] Scruggs J T, Taflanidis A A, Beck J L. Reliability‐based control optimization for active base isolation systems. Structural Control and Health Monitoring, 2006, 13(2–3): 705–723

[51] Mazzoni S, McKenna F, Scott M H, Fenves G. OpenSees users manual, 2004

[52] JCSS. Probabilistic Model Code. Denmark: 2001

[53] Gupta A, Krawinkler H. Seismic Demands for the Performance Evaluation of Steel Moment Resisting Frame Structures. California: Stanford University, 1999

[54] Hall J F. Parameter Study of the Response of Moment-Resisting Steel Frame Buildings to Near-Source Ground Motions. California: California Institute of Technology, 1995

[55] Vu-Bac N, Silani M, Lahmer T, Zhuang X, Rabczuk T. A unified framework for stochastic predictions of mechanical properties of polymeric nanocomposites. Computational Materials Science, 2015, 96: 520–535

[56] Vu-Bac N, Lahmer T, Zhang Y, Zhuang X, Rabczuk T. Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs). Composites. Part B, Engineering, 2014, 59: 80–95

[57] Vu-Bac N, Rafiee R, Zhuang X, Lahmer T, Rabczuk T. Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters. Composites. Part B, Engineering, 2015, 68: 446–464

[58] Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

[59] Pre-standard F. Commentary for the Seismic Rehabilitation of Buildings. Report FEMA-356, 2000.

[60] FEMA. Global Topics Report on the Prestandard and Commentary for the Seismic Rehabilitation of Buildings. 2000

[61] Haldar A, Mahadevan S. Probability, reliability, and statistical methods in engineering design. Bautechnik, 2000, 77(5): 379

[62] Sivaselvan M V, Reinhorn A M. Hysteretic models for deteriorating inelastic structures. Journal of Engineering Mechanics, 2000, 126(6): 633–640

[63] Somerville P G. Development of Ground Motion Time Histories for Phase 2 of the FEMA/SAC Steel Project. SAC Joint Venture, 1997

[64] American Society of Civil Engineers. Minimum Design Loads for Buildings and Other Structures (ASCE/SEI 7-10). American Society of Civil Engineers, 2010

[65] Christopoulos C, Filiatrault A, Bertero V V. Principles of Passive Supplemental Damping and Seismic Isolation. Pavia: Iuss press, 2006

[66] Vu-Bac N, Duong T X, Lahmer T, Zhuang X, Sauer R A, Park H S, Rabczuk T. A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures. Computer Methods in Applied Mechanics and Engineering, 2018, 331: 427–455

[67] Houck C R, Joines J, Kay M G. A genetic algorithm for function optimization: a Matlab implementation. NCSU-IE TR, 1995, 95(9): 1–10

[68] Shoaei P. Effects of tuned liquid dampers on displacement demand of base-isolated structures subjected to seismic excitation. Thesis for the Master’s Degree. Tehran: Sharif University of Technology, 2017

Acknowledgment

The authors would like to thank Dr. Ahmadizadeh and Dr. Mahsuli at Sharif University of Technology for their fruitful comments and their support during this study.

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