Abstract
Inerter-based passive control devices have great potential to efficiently mitigate damage to structures subjected to earthquakes as they can provide large added mass effects, while having a relatively small physical mass. The added mass effect of inerters is typically achieved through the conversion of translational motion to the rotation of a flywheel. In a clutch inerter damper (CID), energy transferred to the flywheel cannot transfer back to the structure. Despite this potentially advantageous behavior, few studies have considered the seismic performance of structures with CIDs. As a result, the effect of the device parameters (i.e., effective mass and damping), the ability of the device to delay yielding and collapse of the structure, and the relative effectiveness of the device in far-field and near-field earthquakes, which more often include a dominant pulse, are uncertain. This paper addresses these gaps in knowledge through a numerical study of SDOF structures. The numerical model considers the nonlinear behavior of the structure in addition to nonlinear behavior of the CID. Incremental dynamic analyses were performed with suites of recorded earthquake ground motions. The results of these analyses showed that the CID is typically significantly more effective than a comparable viscous damper. Also, while performance differences were observed for different earthquake types, the median performance is broadly similar. Overall, this work shows the CID is capable of delaying the onset of yielding and collapse and otherwise mitigating the effects of a wide range of types of seismic excitation; thus, further investigation on its use is warranted.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Change history
06 January 2023
A Correction to this paper has been published: https://doi.org/10.1007/s10518-022-01586-7
References
Asai T, Watanabe Y (2017) Outrigger tuned inertial mass electromagnetic transducers for high-rise buildings subject to long period earthquakes. Eng Struct 153:404–410. https://doi.org/10.1016/j.engstruct.2017.10.040
Di Egidio A, Pagliaro S, Fabrizio C (2021) Combined use of rocking walls and inerters to improve the seismic response of frame structures. J Eng Mech 147(5):04021016. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001920
FEMA (2009) Quantification of building seismic performance factors. Federal Emergency Management Agency
Garrido H, Curadelli O, Ambrosini D (2013) Improvement of tuned mass damper by using rotational inertia through tuned viscous mass damper. Eng Struct 56:2149–2153. https://doi.org/10.1016/j.engstruct.2013.08.044
Hampel FR (1974) The influence curve and its role in robust estimation. J Am Stat Assoc 69(346):383–393
Hu Y, Chen MZQ (2015) Performance evaluation for inerter-based dynamic vibration absorbers. Int J Mech Sci 99:297–307. https://doi.org/10.1016/j.ijmecsci.2015.06.003
Hwang J-S, Kim J, Kim Y-M (2007) Rotational inertia dampers with toggle bracing for vibration control of a building structure. Eng Struct 29(6):1201–1208. https://doi.org/10.1016/j.engstruct.2006.08.005
Ibarra LF, Krawinkler H (2005) Global collapse of frame structures under seismic excitations. Stanford University, Stanford
Ibarra LF, Medina RA, Krawinkler H (2005) Hysteretic models that incorporate strength and stiffness deterioration. Earthq Eng Struct Dyn 34(12):1489–1511. https://doi.org/10.1002/eqe.495
Ikago K, Saito K, Inoue N (2012) Seismic control of single-degree-of-freedom structure using tuned viscous mass damper: the tuned viscous mass damper. Earthq Eng Struct Dyn 41(3):453–474. https://doi.org/10.1002/eqe.1138
Javidialesaadi A, Wierschem NE (2019) Energy transfer and passive control of single-degree-of-freedom structures using a one-directional rotational inertia viscous damper. Eng Struct 196:109339. https://doi.org/10.1016/j.engstruct.2019.109339
Lazar IF, Neild SA, Wagg DJ (2014) Using an inerter-based device for structural vibration suppression: using an inerter-based device for structural vibration suppression. Earthq Eng Struct Dyn 43(8):1129–1147. https://doi.org/10.1002/eqe.2390
Li L, Liang Q (2020) Seismic assessment and optimal design for structures with clutching inerter dampers. J Eng Mech 146(4):04020016. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001732
Li L, Liang Q, Qin H (2019) Equivalent linearization methods for a control system with clutching inerter damper. Appl Sci 9(4):688. https://doi.org/10.3390/app9040688
Lignos DG, Krawinkler H (2011) Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading. J Struct Eng 137(11):1291–1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376
Ma R, Bi K, Hao H (2021) Inerter-based structural vibration control: a state-of-the-art review. Eng Struct 243:112655. https://doi.org/10.1016/j.engstruct.2021.112655
Makris N, Kampas G (2016) Seismic protection of structures with supplemental rotational inertia. J Eng Mech 142(11):04016089. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001152
Makris N, Moghimi G (2019) Displacements and forces in structures with inerters when subjected to earthquakes. J Struct Eng 145(2):04018260. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002267
Málaga-Chuquitaype C, Menendez-Vicente C, Thiers-Moggia R (2019) Experimental and numerical assessment of the seismic response of steel structures with clutched inerters. Soil Dyn Earthq Eng 121:200–211. https://doi.org/10.1016/j.soildyn.2019.03.016
McKenna F, Fenves GL, Filippou FC, Contributors (2021) Open system for earthquake engineering simulation. University of California, Berkeley
Moghimi G, Makris N (2021) Seismic response of yielding structures equipped with inerters. Soil Dyn Earthq Eng 141:106474. https://doi.org/10.1016/j.soildyn.2020.106474
Smith MC (2002) Synthesis of mechanical networks: the inerter. IEEE Trans Autom Control 47(10):1648–1662. https://doi.org/10.1109/TAC.2002.803532
Smith MC (2020) The inerter: a retrospective. Annu Rev Control Robot Auton Syst 3(1):361–391. https://doi.org/10.1146/annurev-control-053018-023917
Sugimura Y, Goto W, Tanizawa H, Saito K, Ninomiya T, Nagasaku T (2012) Response control effect of steel building structure using tuned viscous mass damper. In: Proc. 15th World Conf. Earthq. Eng. Lisbon, Portugal
Talley PC, Javidialesaadi A, Wierschem NE, Denavit MD (2021) Evaluation of steel building structures with inerter-based dampers under seismic loading. Eng Struct 242:112488. https://doi.org/10.1016/j.engstruct.2021.112488
Thiers-Moggia R, Málaga-Chuquitaype C (2019) Seismic protection of rocking structures with inerters. Earthq Eng Struct Dyn 48(5):528–547. https://doi.org/10.1002/eqe.3147
Thiers-Moggia R, Málaga-Chuquitaype C (2020) Seismic control of flexible rocking structures using inerters. Earthq Eng Struct Dyn 49(14):1519–1538. https://doi.org/10.1002/eqe.3315
Thiers-Moggia R, Málaga-Chuquitaype C (2021) Performance-based seismic design and assessment of rocking timber buildings equipped with inerters. Eng Struct 248:113164. https://doi.org/10.1016/j.engstruct.2021.113164
Vamvatsikos D, Cornell CA (2002) Incremental dynamic analysis. Earthq Eng Struct Dyn 31(3):491–514. https://doi.org/10.1002/eqe.141
Wagg DJ (2021) A review of the mechanical inerter: historical context, physical realisations and nonlinear applications. Nonlinear Dyn 104(1):13–34. https://doi.org/10.1007/s11071-021-06303-8
Wang M, Sun F (2018) Displacement reduction effect and simplified evaluation method for SDOF systems using a clutching inerter damper. Earthq Eng Struct Dyn 47(7):1651–1672. https://doi.org/10.1002/eqe.3034
Wang F-C, Hong M-F, Chen C-W (2010) Building suspensions with inerters. Proc Inst Mech Eng Part C J Mech Eng Sci 224(8):1605–1616. https://doi.org/10.1243/09544062JMES1909
Zhao Z, Zhang R, Wierschem NE, Jiang Y, Pan C (2021) Displacement mitigation–oriented design and mechanism for inerter-based isolation system. J Vib Control 27(17 18):1991–2003. https://doi.org/10.1177/1077546320951662
Zheng Y-L, Li L-Y, Zhang T-J (2021) Energy analysis and optimization of inerter-based systems. J Vib Control 28(9 10):985–997. https://doi.org/10.1177/1077546320987730
Funding
This material is based upon work supported by the National Science Foundation under Grant No. 1944513. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Author information
Authors and Affiliations
Contributions
PCT: Methodology, Software, Investigation, Writing—Reviewing and Editing. ATS: Writing—Original Draft, Reviewing and Editing. NEW: Writing—Reviewing and Editing, Supervision, Conceptualization. MDD: Writing—Reviewing and Editing, Supervision, Conceptualization, Software.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conficts 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
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Talley, P.C., Sarkar, A.T., Wierschem, N.E. et al. Performance of structures with clutch inerter dampers subjected to seismic excitation. Bull Earthquake Eng 21, 1577–1598 (2023). https://doi.org/10.1007/s10518-022-01514-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-022-01514-9