Abstract
Inerter-based-dampers have received substantial interest from the earthquake engineering community in the last two decades. These typically consist of an inerter, a linear spring and a viscous damper arranged into various possible configurations. In this paper, for the first time, experimental results are presented from shake table tests on a scaled three-storey structure with an inerter-based damper included, in order to suppress vibration amplitudes at the resonant frequencies. In particular two types of device are used to demonstrate the differences between using viscous and hysteretic damping in the inerter-based device. The two different types of experimental dampers were manufactured using eddy current dampers and gel damping material. The inerter was manufactured based on a flywheel design. The experimental results were compared with four analytical models tuned to suppress vibrations in the first resonance; namely the tuned-inerter-damper, the tuned-inerter-hysteretic-damper, the tuned-mass-damper-inerter, and the tuned-mass-hysteretic-damper-inerter. These experimental results confirm the observations made from the models that the suppression of higher resonance peaks is significantly different between the viscous and hysteretic damped inerter-based-dampers. Consequently, it is recommended that future studies exploring the performance of inerter-based seismic mitigation systems pay close attention to the damping mechanisms that are prevalent within the structure.
Similar content being viewed by others
References
Almagirby AA (2016) Understanding Vibration Transmitted to the Human Finger (Doctoral dissertation, University of Sheffield)
Ariga T, Kanno Y, Takewaki I (2006) Resonant behaviour of base-isolated high-rise buildings under long-period ground motions. Struct Design Tall Spec Build 15(3):325–338
Beards CF (1996) Structural vibrations: analysis and damping. Halsted Press
Brzeski P, Lazarek M, Perlikowski P (2017) Experimental study of the novel tuned mass damper with inerter which enables changes of inertance. J Sound Vib 404:47–57
Dai J, Xu ZD, Gai PP (2019) Tuned mass-damper-inerter control of wind-induced vibration of flexible structures based on inerter location. Eng Struct 199:109585
De Angelis M, Giaralis A, Petrini F, Pietrosanti D (2019) Optimal tuning and assessment of inertial dampers with grounded inerter for vibration control of seismically excited base-isolated systems. Eng Struct 196:109250
De Domenico D, Ricciardi G (2018) An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI). Earthq Eng Struct Dyn 47(5):1169–1192
De Domenico D, Ricciardi G (2018) Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems. Earthq Eng Struct Dyn 47(12):2539–2560
De Domenico D, Deastra P, Ricciardi G, Sims ND, Wagg DJ (2019) Novel fluid inerter based tuned mass dampers for optimised structural control of base-isolated buildings. J Franklin Inst 356(14):7626–7649
Deastra P, Wagg D, Sims N, Akbar M (2020) Tuned inerter dampers with linear hysteretic damping. Earthq Eng Struct Dyn 49(12):1216–1235
Deastra P, Wagg DJ, Sims ND (2018) The effect of a tuned-inerter-damper on the seismic response of base-isolated structures. In 16th European Conference on Earthquake Engineering (pp 18-21)
Deastra P, Wagg DJ, Sims ND (2019) The realisation of an inerter-based system using fluid inerter. In Dynamics of Civil Structures, Volume 2 (pp 127-134). Springer, Cham
Deastra P, Wagg DJ, Sims ND (2021) Using a Tuned-Inerto-Viscous-Hysteretic-Damper (TIVhD) for vibration suppression in multi-storey building structures. In IOP Conference Series: Earth and Environmental Science (Vol 708, No 1, p 012012). IOP Publishin
Giaralis A, Petrini F (2017) Wind-induced vibration mitigation in tall buildings using the tuned mass-damper-inerter. J Struct Eng 143(9):04017127
Giaralis A, Taflanidis AA (2018) Optimal tuned mass-damper-inerter (TMDI) design for seismically excited MDOF structures with model uncertainties based on reliability criteria. Struct Control Health Monit 25(2):e2082
Gonzalez-Buelga A, Lazar IF, Jiang JZ, Neild SA, Inman DJ (2017) Assessing the effect of nonlinearities on the performance of a tuned inerter damper. Struct Control Health Monit 24(3):e1879
Hessabi RM, Mercan O, Ozturk B (2017) Exploring the effects of tuned mass dampers on the seismic performance of structures with nonlinear base isolation systems. Earthq Struct 12(3):285–296
Ikago K, Saito K, Inoue N (2012) Seismic control of single-degree-of-freedom structure using tuned viscous mass damper. Earthq Eng Struct Dyn 41(3):453–474
Inaudi JA, Makris N (1996) Time-domain analysis of linear hysteretic damping. Earthq Eng Struct Dyn 25(6):529–545
John ED, Wagg DJ (2019) Design and testing of a frictionless mechanical inerter device using living-hinges. J Franklin Inst 356(14):7650–7668
Kamae K, Kawabe H, Irikura K (2004) Strong ground motion prediction for huge subduction earthquakes using a characterized source model and several simulation techniques. In Proceedings of the 13th WCEE
Lazar IF, Neild SA, Wagg DJ (2014) Using an inerter-based device for structural vibration suppression. Earthq Eng Struct Dyn 43(8):1129–1147
Marian L, Giaralis A (2014) Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems. Probab Eng Mech 38:156–164
Mazza F, Labernarda R (2020) Magnetic damped links to reduce internal seismic pounding in base-isolated buildings. Bull Earthq Eng 18(15):6795–6824
Okumura A (2007) Japan Patent Koukai. H09-177875
Papageorgiou C, Houghton NE, Smith MC (2009) Experimental testing and analysis of inerter devices. J Dyn Syst Meas Control, 131(1)
Pietrosanti D, De Angelis M, Basili M (2017) Optimal design and performance evaluation of systems with Tuned Mass Damper Inerter (TMDI). Earthq Eng Struct Dyn 46(8):1367–1388
Pietrosanti D, De Angelis M, Basili M (2020) A generalized 2-DOF model for optimal design of MDOF structures controlled by Tuned Mass Damper Inerter (TMDI). Int J Mech Sci 185:105849
Pietrosanti D, De Angelis M, Giaralis A (2020) Experimental study and numerical modeling of nonlinear dynamic response of SDOF system equipped with tuned mass damper inerter (TMDI) tested on shaking table under harmonic excitation. Int J Mech Sci 184:105762
Pietrosanti D, De Angelis M, Giaralis A (2021) Experimental seismic performance assessment and numerical modelling of nonlinear inerter vibration absorber (IVA)-equipped base isolated structures tested on shaking table. Earthq Eng Struct Dyn 50(10):2732–2753
Radu A, Lazar IF, Neild SA (2019) Performance-based seismic design of tuned inerter dampers. Struct Control Health Monit 26(5):e2346
Saito K, Sugimura Y, Nakaminami S, Kida H, Inoue N (2008) Vibration tests of 1-storey response control system using inertial mass and optimized soft spring and viscous element. J Struct Eng 54:623–634
Saitoh M (2012) On the performance of gyro-mass devices for displacement mitigation in base isolation systems. Struct Control Health Monit 19(2):246–259
Smith MC (2001) Force-controlling mechanical device. US patent 7:303–316
Smith MC (2002) Synthesis of mechanical networks: the inerter. IEEE Trans Autom Control 47(10):1648–1662
Sugimura Y, Goto W, Tanizawa H, Saito K, Nimomiya T (2012) Response control effect of steel building structure using tuned viscous mass damper. In Proceedings of the 15th world conference on earthquake engineering (pp 24-28)
Tsai HC (1995) The effect of tuned-mass dampers on the seismic response of base-isolated structures. Int J Solids Struct 32(8–9):1195–1210
Wagg DJ (2021) A review of the mechanical inerter: historical context, physical realisations and nonlinear applications. Nonlinear Dyn 104:13–34
Wang FC, Hong MF, Lin TC (2011) Designing and testing a hydraulic inerter. Proc Inst Mech Eng Part C J Mech Eng Sci 225(1):66–72
Acknowledgements
The authors would like to thank Mr Mathew J Hall and Mr Michael J Dutchman for their help on the design, manufacturing and testing of the inerter, gel and magnetic dampers.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The first author is funded by the Indonesia endowment fund for education (LPDP). This research also made use of The Laboratory for Verification and Validation (LVV) which was funded by the EPSRC (Grant Numbers EP/R006768/1 and EP/N010884/1), the European Regional Development Fund (ERDF) and the University of Sheffield. The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Deastra, P., Wagg, D.J., Sims, N.D. et al. Experimental shake table validation of damping behaviour in inerter-based dampers. Bull Earthquake Eng 21, 1389–1409 (2023). https://doi.org/10.1007/s10518-022-01376-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-022-01376-1