This article introduces the basic principles of four kinds of inerters applied for structural vibration control including a traditional inertial mass damper and ideal clutch inerter damper. The clutch inerter damper with all damping (clutch inerter damper_all damped) and clutch inerter damper with partial damping (clutch inerter damper_part damped) are distinguished in detail. First, a series of energy indexes are defined for further analysis. Second, the control effect of displacement for the uncontrolled structure and the four inerter-based single-degree-of-freedom systems are compared. Finally, considering the total input energy (E1) and the invalid damping energy (ECID_ric) as the effective indexes, combined with a large number of numerical simulation results, the variation rules of the two energy indexes with respect to two key parameters (inertia mass ratio and additional damping) are summarized, and the optimal parameters are proposed. The effectiveness of the optimal value is verified by displacement comparison.
AkiyamaH (1985) Earthquake-resistant Limit-State Design for Buildings. Tokyo: University of Tokyo Press.
2.
AlujevićNČakmakDWolfH, et al. (2018) Passive and active vibration isolation systems using inerter. Journal of Sound and Vibration418: 163–183.
3.
BakhshiAArakiHShimazuT (1998) Evaluation of performance of a suspension isolation system subjected to strong ground motion. Earthquake Engineering and Structural Dynamics27: 1096–9845.
4.
BrzeskiPLazarekMPerlikowskiP, et al. (2017) Experimental study of the novel tuned mass damper with inerter which enables changes of inertance. Journal of Sound and Vibration404: 47–57.
5.
ChenMPapageorgiouCScheibeF, et al. (2009) The missing mechanical circuit element. IEEE Circuits and Systems Magazine. 9(1): 10–26.
6.
ChenMZQHuYLiC, et al. (2015) Performance benefits of using inerter in semiactive suspensions. IEEE Transactions on Control Systems Technology23(4): 1571–1577.
7.
DattaTK (2003) A state-of-the-art review on active control of structures. ISET Journal of Earthquake Technology40(1): 1–17.
8.
ElwoodKNiitE (2004) The use of power for the characterization of earthquake ground motions. In: Proceedings of the 13th world conference on earthquake engineering, Vancouver, B.C., Canada, 1–6 August 2004, pp. 574–587.
9.
FrankSSmithMC (2009) Analytical solutions for optimal ride comfort and tyre grip for passive vehicle suspensions. Vehicle System Dynamics47(10): 1229–1252.
10.
FujiiK (1987) Damper using liquid sloshing motion-tuned sloshing damper. In: Summaries of technical papers of annual meeting architectural institute of Japan, 1483–1484.
11.
Gonzalez-BuelgaAClareLRNeildSA, et al. (2015) An electromagnetic inerter-based vibration suppression device. Smart Material Structures24(5): 055015.
12.
HiroshiA (1985) Earthquake-Resistant-Limit-State Design for Buildings. Leeds: University of Tokyo Press.
13.
HousnerGW (1956) Limit design of structures to resist earthquakes. In: Proceedings of the first world conference on earthquake engineering, Berkeley, CL, 1 January 1956.
14.
HousnerGW (1959) Behavior of structures during earthquake. Journal of the Engineering Mechanics Division85(4): 109–129.
15.
HousnerGWJenningsPC (1964) Generation of artificial earthquakes. Journal of the Engineering Mechanics Division90(1): 113–123.
16.
HrovatDBarakPRabinsM (1983) Semiactive versus passive or active tuned mass dampers for structural control. Journal of Engineering Mechanics109(3): 691–705.
17.
IkagoKSaitoKInoueN (2012) Seismic control of single-degree-of-freedom structure using tuned viscous mass damper. Earthquake Engineering & Structural Dynamics41(3): 453–474.
18.
KellyJMSkinnerRIHeineAJ (1972) Mechanics of energy absorption in special devices for use in earthquake resistant structures. Bulletin of the New Zealand Society for Earthquake Engineering5(3): 63–88.
19.
LazarIFNeildSAWaggDJ (2014) Using an inerter-based device for structural vibration suppression. Earthquake Engineering & Structural Dynamics43(8): 1129–1147.
20.
LestuzziPBachmannH (2007) Displacement ductility and energy assessment from shaking table tests on RC structural walls. Engineering Structures29(8): 1708–1721.
21.
LuLDuanYFSpencerBFJ, et al. (2017) Inertial mass damper for mitigating cable vibration. Structural Control and Health Monitoring24(10): 1–12.
22.
LuoJY (2013) Research and analysis on high-rise building with panel-type viscoelastic dampers. Master Thesis, Guangzhou University, China.
23.
MaTF (2017) Study on shock absorbing performance of metal dampers and viscous dampers. Master Thesis: Jiangsu University of Science and Technology, China.
24.
MakrisNKampasG (2016) Seismic protection of structures with supplemental rotational inertia. Journal of Engineering Mechanics142(11): 04016089.
25.
MálagaCCMenendezVCThiersMR (2019) Experimental and numerical assessment of the seismic response of steel structures with clutched inerters. Soil Dynamics and Earthquake Engineering121(6): 200–211.
26.
MarianLGiaralisA (2014) Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems. Probabilistic Engineering Mechanics38: 156–164.
27.
MckevittWEAndersonDLNathanND, et al. (1980) Hysterestic energy spectra in seismic design. In: Proceedings of the 7th world conference on earthquake engineering, Istanbul, Turkey, 26–38 March 1980.
28.
MileckiA (2001) Investigation and control of magneto-rheological fluid dampers. International Journal of Machine Tools & Manufacture41(3): 379–391.
29.
MulyoHPHirokazuIAkiraI, et al. (2008) Application of angular-mass dampers to base-isolated benchmark building. Structural Control and Health Monitoring15: 737–745.
30.
NakamuraYFukukitaATamuraK, et al. (2014) Seismic response control using electromagnetic inertial mass dampers. Earthquake Engineering & Structural Dynamics43(4): 507–527.
31.
NieJMZhangXLJiangHB, et al. (2012) Research on the inerter structure. Machine Design and Research28(1): 29–32.
32.
OuJP (2003) Structural Vibration Control Active, Semi-active and Intelligent Control. Beijing: Science Press.
33.
OuJPHeZWuB, et al. (1999) Seismic damage performance-baced design of reinforced concrete structures. Earthquake Engineering and Engineering Vibration19(001): 21–30.
34.
OuJPWuBLongX (1998) Aseismic design methods of passive energy dissipation systems. Earthquake Engineering and Engineering Vibration18(002): 202–209.
35.
PallASMarshC (1982) Response of friction damped braced frames. Journal of the Structural Division108(6): 17175.
36.
PanZD (2013) Research on Seismic Performance and Damage of TMD System Based on Energy Theory. Master Thesis, Guangzhou University, China.
37.
PapageorgiouCSmithMC (2006) Positive real synthesis using matrix inequalities for mechanical networks: application to vehicle suspension. IEEE Transactions on Control Systems Technology14(3): 423–435.
38.
ParulekarYMReddyGR (2009) Passive response control systems for seismic response reduction: a state-of-the-art review. International Journal of Structural Stability and Dynamics9(01): 151–177.
39.
SkinnerRRobinsonWH, et al. (1993) An Introduction to Seismic Isolation. Chichester: Wiley.
40.
SmithMC (2002) Force-controlling mechanical device. US patent 7316303B2.
41.
SmithMC (2002a) Synthesis of mechanical networks: the inerter. IEEE Transactions on Automatic Control47(10): 1648–1662.
42.
SmithMCWangFC (2004) Performance benefits in passive vehicle suspensions employing inerters. Vehicle System Dynamics42(4): 235–257.
43.
SoongTTSpencerBFJr (2002) Supplemental energy dissipation: state-of-the-art and state-of-the-practice. Engineering Structures24(3): 243–259.
44.
SwiftSJSmithMCGloverAR, et al. (2013) Design and modelling of a fluid inerter. International Journal of Control86(11): 2035–2051.
45.
SymansMDConstantinouMC (1999) Semi-active control systems for seismic protection of structures: a state-of-the-art review. Engineering Structures21(6): 469–487.
46.
TsaiCSTsaiKC (1994) TPEA device as seismic damper for high-rise buildings. Journal of Engineering Mechanics121(10): 1075–1081.
47.
TsaiKCChenHWHongCP, et al. (1993) Design of steel triangular plate energy absorbers for seismic-resistant construction. Earthquake Spectra9(3): 505–528.
48.
UangCBerteroVV (1990) Evaluation of seismic energy in structures. Earthquake Engineering & Structural Dynamics19(1): 77–90.
49.
WangFCHongMFLinTC (2011) Designing and testing a hydraulic inerter. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science225(1): 66–72.
50.
WangMSunFF (2018) Displacement reduction effect and simplified evaluation method for SDOF systems using a clutching inerter damper. Earthquake Engineering & Structural Dynamics47(7): 1651–1672.
51.
WuMLTanPYeM (2009) Review on structural vibration control methods in construction engineering. Journal of Water Resources and Architectural Engineering7(004): 19–26.
52.
YaoJTP (1972) Concept of structural control. ASCE Journal of the Structural Division98(7): 1567–1574.
53.
ZhaoGRazeGPaknejadA, et al. (2019) Active tuned inerter-damper for smart structures and its optimisation. Mechanical Systems and Signal Processing129: 470–478.
54.
ZhangSYJiangJZNeildS (2017) Optimal configurations for a linear vibration suppression device in a multi-storey building. Structural Control and Health Monitoring24(3): e1887.
55.
ZillettiM (2016) Feedback control unit with an inerter proof-mass electrodynamic actuator. Journal of Sound and Vibration369: 16–28.
