Inerter-based structural vibration control: A state-of-the-art review

Abstract Structural vibration control has received considerable research attentions in the past few decades, with special emphasis on developing effective, affordable and applicable control systems to protect the structures against natural or man-made hazards. In 2002, a two-terminal mechanical element, dubbed inerter, was proposed based on the force-current analogy, offering many potentials for upgrading conventional structural vibration control systems. Over the past two decades especially in the recent five years, extensive research efforts have been made for the development of inerter-based vibration control systems. This paper aims to provide a state-of-the-art review on the research and development of inerter-based passive vibration control systems and their applications. It begins with the concept and physical realizations of inerter. The mechanical models of inerter are then presented. Subsequently, this paper reviews the applications of inerter in civil engineering and discusses its benefits comparing to conventional vibration control systems. Finally, some discussions are made on the unresolved problems and the possible topics for future studies.

[1]  Neil E. Houghton,et al.  Experimental testing and analysis of inerter devices , 2009 .

[2]  Liyuan Cao,et al.  Tuned tandem mass dampers‐inerters with broadband high effectiveness for structures under white noise base excitations , 2019, Structural Control and Health Monitoring.

[3]  David J. Wagg,et al.  Using an inerter‐based device for structural vibration suppression , 2014 .

[4]  Feng Qian,et al.  Optimal tuned inerter dampers for performance enhancement of vibration isolation , 2019, Engineering Structures.

[5]  Daniel J. Inman,et al.  An electromagnetic inerter-based vibration suppression device , 2015 .

[6]  Neven Alujević,et al.  Passive and active vibration isolation systems using inerter , 2018 .

[7]  Kun Xu,et al.  Using tuned mass damper inerter to mitigate vortex-induced vibration of long-span bridges: Analytical study , 2019, Engineering Structures.

[8]  P. Brzeski,et al.  Experimental study of the novel tuned mass damper with inerter which enables changes of inertance , 2017 .

[9]  Maurizio De Angelis,et al.  Dynamic response of a viscously damped two adjacent degree of freedom system linked by inerter subjected to base harmonic excitation , 2017 .

[10]  B. Hazra,et al.  A shape memory alloy-tuned mass damper inerter system for passive control of linked-SDOF structural systems under seismic excitation , 2021 .

[11]  D. De Domenico,et al.  Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems , 2018, Earthquake Engineering & Structural Dynamics.

[12]  Jian Peng,et al.  Exact H2 optimal solutions to inerter‐based isolation systems for building structures , 2019, Structural Control and Health Monitoring.

[13]  D. Wald,et al.  Response of High-Rise and Base-Isolated Buildings to a Hypothetical Mw 7.0 Blind Thrust Earthquake , 1995, Science.

[14]  Malcolm C. Smith Synthesis of mechanical networks: the inerter , 2002, IEEE Trans. Autom. Control..

[15]  Ruifu Zhang,et al.  Optimal design and seismic performance of tuned fluid inerter applied to structures with friction pendulum isolators , 2020 .

[16]  T. T. Soong,et al.  STRUCTURAL CONTROL: PAST, PRESENT, AND FUTURE , 1997 .

[17]  Malcolm C. Smith,et al.  Design and modelling of a fluid inerter , 2013, Int. J. Control.

[18]  Agathoklis Giaralis,et al.  An inerter‐equipped vibrating barrier for noninvasive motion control of seismically excited structures , 2019, Structural Control and Health Monitoring.

[19]  Hui Li,et al.  Analysis of capability for semi‐active or passive damping systems to achieve the performance of active control systems , 2010 .

[20]  Hirokazu Iemura,et al.  Application of angular‐mass dampers to base‐isolated benchmark building , 2008 .

[21]  Akira Fukukita,et al.  Seismic response control using electromagnetic inertial mass dampers , 2014 .

[22]  D. De Domenico,et al.  Improving the dynamic performance of base‐isolated structures via tuned mass damper and inerter devices: A comparative study , 2018, Structural Control and Health Monitoring.

[23]  Frank Scheibe,et al.  Analytical solutions for optimal ride comfort and tyre grip for passive vehicle suspensions , 2009 .

[24]  Qiang Han,et al.  Performance evaluation of inerter‐based dampers for vortex‐induced vibration control of long‐span bridges: A comparative study , 2020, Structural Control and Health Monitoring.

[25]  Hong Hao,et al.  Mitigation of heave response of semi-submersible platform (SSP) using tuned heave plate inerter (THPI) , 2018, Engineering Structures.

[26]  Michele Zilletti,et al.  Feedback control unit with an inerter proof-mass electrodynamic actuator , 2016 .

[27]  H. Hao,et al.  Influences of ground motion parameters and structural damping on the optimum design of inerter-based tuned mass dampers , 2021 .

[28]  Masato Saitoh,et al.  On the performance of gyro‐mass devices for displacement mitigation in base isolation systems , 2012 .

[29]  Ruifu Zhang,et al.  Impact of soil–structure interaction on structures with inerter system , 2018, Journal of Sound and Vibration.

[30]  Agathoklis Giaralis,et al.  Wind-Induced Vibration Mitigation in Tall Buildings Using the Tuned Mass-Damper-Inerter , 2017 .

[31]  P. Brzeski,et al.  Design and identification of parameters of tuned mass damper with inerter which enables changes of inertance , 2018 .

[32]  Raouf A. Ibrahim,et al.  Recent advances in nonlinear passive vibration isolators , 2008 .

[33]  Yozo Fujino,et al.  Optimal tuned mass damper for seismic applications and practical design formulas , 2008 .

[34]  Yoshikazu Araki,et al.  Energy harvesting potential of tuned inertial mass electromagnetic transducers , 2017 .

[35]  H. Hao,et al.  A state-of-the-art review on the vibration mitigation of wind turbines , 2020 .

[36]  Christian Málaga-Chuquitaype,et al.  Seismic protection of rocking structures with inerters , 2018, Earthquake Engineering & Structural Dynamics.

[37]  M. Basili,et al.  A generalized 2-DOF model for optimal design of MDOF structures controlled by Tuned Mass Damper Inerter (TMDI) , 2020 .

[38]  P. Brzeski,et al.  Effects of play and inerter nonlinearities on the performance of tuned mass damper , 2017 .

[39]  Simos A. Evangelou,et al.  Mechanical Steering Compensators for High-Performance Motorcycles , 2007 .

[40]  M.C. Smith,et al.  The missing mechanical circuit element , 2009, IEEE Circuits and Systems Magazine.

[41]  S. Neild,et al.  Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators , 2019, Nonlinear Dynamics.

[42]  Oleg Gendelman,et al.  Energy pumping in nonlinear mechanical oscillators : Part I : Dynamics of the underlying Hamiltonian systems , 2001 .

[43]  Fu-Cheng Wang,et al.  Stability and performance analysis of a full-train system with inerters , 2012 .

[44]  Ruifu Zhang,et al.  Design of structure with inerter system based on stochastic response mitigation ratio , 2018 .

[45]  井上 豊,et al.  ボールネジを用いた制震装置の開発 : その2 制震チューブの減衰性能とその評価法 , 1999 .

[46]  Qinhua Wang,et al.  Wind-induced vibration control and parametric optimization of connected high-rise buildings with tuned liquid-column-damper–inerter , 2021 .

[47]  Daniel Ambrosini,et al.  Improvement of tuned mass damper by using rotational inertia through tuned viscous mass damper , 2013 .

[48]  H. Niu,et al.  Design and dynamic characterization of a large-scale eddy current damper with enhanced performance for vibration control , 2020 .

[49]  Akira Nishitani,et al.  Optimum design for more effective tuned mass damper system and its application to base‐isolated buildings , 2014 .

[50]  C. Málaga-Chuquitaype,et al.  Experimental and numerical assessment of the seismic response of steel structures with clutched inerters , 2019, Soil Dynamics and Earthquake Engineering.

[51]  Hong Hao,et al.  Using multiple tuned mass dampers to control offshore wind turbine vibrations under multiple hazards , 2017 .

[52]  Liqun Chen,et al.  A lever-type nonlinear energy sink , 2018, Journal of Sound and Vibration.

[53]  Agathoklis Giaralis,et al.  Optimal design of a novel tuned mass-damper–inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems , 2014 .

[54]  Fu-Cheng Wang,et al.  Performance Benefits in Passive Vehicle Suspensions Employing Inerters , 2004 .

[55]  Ruifu Zhang,et al.  Seismic response mitigation of structures with a friction pendulum inerter system , 2019, Engineering Structures.

[56]  A. Giaralis,et al.  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 , 2020, International Journal of Mechanical Sciences.

[57]  P. Brzeski,et al.  Novel type of tuned mass damper with inerter which enables changes of inertance , 2015 .

[58]  Michela Basili,et al.  Modal analysis and dynamic response of two adjacent single-degree-of-freedom systems linked by spring-dashpot-inerter elements , 2018, Engineering Structures.

[59]  Michael J. Brennan,et al.  Inerter-like devices used for vibration isolation: A historical perspective , 2020, J. Frankl. Inst..

[60]  Kohju Ikago,et al.  Seismic control of single‐degree‐of‐freedom structure using tuned viscous mass damper , 2012 .

[61]  Oleg Gendelman,et al.  Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture , 2001 .

[62]  D. De Domenico,et al.  Soil-dependent optimum design of a new passive vibration control system combining seismic base isolation with tuned inerter damper , 2018 .

[63]  Hongping Zhu,et al.  Tuned inerter dampers for civil structures subjected to earthquake ground motions: optimum design and seismic performance , 2019, Engineering Structures.

[64]  David J. Wagg,et al.  Vibration suppression of cables using tuned inerter dampers , 2016 .

[65]  Liang Luo,et al.  An electromagnetic variable inertance device for seat suspension vibration control , 2019, Mechanical Systems and Signal Processing.

[66]  Dookie Kim,et al.  Multiple tuned mass damper for multi-mode vibration reduction of offshore wind turbine under seismic excitation , 2018, Ocean Engineering.

[67]  T. T. Soong,et al.  State-of-the-art review: Active structural control in civil engineering , 1988 .

[68]  Per-Olof Gutman,et al.  New models for backlash and gear play , 1997 .

[69]  Roger M. Goodall,et al.  Passive suspensions incorporating inerters for railway vehicles , 2012 .

[70]  Fu-Cheng Wang,et al.  Vehicle suspensions with a mechatronic network strut , 2011 .

[71]  Takehiko Asai,et al.  Outrigger tuned inertial mass electromagnetic transducers for high-rise buildings subject to long period earthquakes , 2017 .

[72]  Yinlong Hu,et al.  Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution , 2015 .

[73]  H. Hao,et al.  Using inerter-based control device to mitigate heave and pitch motions of semi-submersible platform in the shallow sea , 2020 .

[74]  David J. Wagg,et al.  Design and testing of a frictionless mechanical inerter device using living-hinges , 2019, J. Frankl. Inst..

[75]  H. Hao,et al.  A novel rotational inertia damper for heave motion suppression of semisubmersible platform in the shallow sea , 2019, Structural Control and Health Monitoring.

[76]  Hsiang-Chuan Tsai,et al.  The effect of tuned-mass dampers on the seismic response of base-isolated structures , 1995 .

[77]  Daniel J. Inman,et al.  Assessing the effect of nonlinearities on the performance of a tuned inerter damper , 2017 .

[78]  Hamid Reza Karimi,et al.  Design of inerter-based multi-actuator systems for vibration control of adjacent structures , 2019, J. Frankl. Inst..

[79]  Branislav Titurus,et al.  Model identification methodology for fluid-based inerters , 2018, Mechanical Systems and Signal Processing.

[80]  Armen Der Kiureghian,et al.  Effect of tuned mass damper on displacement demand of base-isolated structures , 2008 .

[81]  Fu-Cheng Wang,et al.  Impact of inerter nonlinearities on vehicle suspension control , 2008 .

[82]  Xiang Shi,et al.  A comparative study of vibration isolation performance using negative stiffness and inerter dampers , 2019, J. Frankl. Inst..

[83]  Li-Qun Chen,et al.  Nonlinear energy sink with inerter , 2019, Mechanical Systems and Signal Processing.

[84]  David J. Wagg,et al.  A review of the mechanical inerter: historical context, physical realisations and nonlinear applications , 2021, Nonlinear Dynamics.

[85]  Y. M. Parulekar,et al.  PASSIVE RESPONSE CONTROL SYSTEMS FOR SEISMIC RESPONSE REDUCTION: A STATE-OF-THE-ART REVIEW , 2009 .

[86]  Zhilong Huang,et al.  Suppressing Random Response of a Regular Structure by an Inerter-Based Dynamic Vibration Absorber , 2019, Journal of Vibration and Acoustics.

[87]  Liqun Chen,et al.  A nonlinear stiffness and nonlinear inertial vibration isolator , 2020 .

[88]  Yong Wang,et al.  An investigation of the dynamic performance of lateral inerter-based vibration isolator with geometrical nonlinearity , 2019, Archive of Applied Mechanics.

[89]  Hao Wang,et al.  Impact of cable sag on the efficiency of an inertial mass damper in controlling stay cable vibrations , 2019 .

[90]  Steen Krenk,et al.  Resonant inerter based vibration absorbers on flexible structures , 2019, J. Frankl. Inst..

[91]  Meng Wang,et al.  Displacement reduction effect and simplified evaluation method for SDOF systems using a clutching inerter damper , 2018 .

[92]  Songye Zhu,et al.  Dynamic characteristics of stay cables with inerter dampers , 2018, Journal of Sound and Vibration.

[93]  Zili Zhang,et al.  Tuned mass-damper-inerter (TMDI) for suppressing edgewise vibrations of wind turbine blades , 2020, Engineering Structures.

[94]  Martin Leary,et al.  A review of shape memory alloy research, applications and opportunities , 2014 .

[95]  Gian Paolo Cimellaro,et al.  Introduction to Dynamics of Structures and Earthquake Engineering , 2018 .

[96]  Giuseppe Carlo Marano,et al.  Optimal design and seismic performance of Multi‐Tuned Mass Damper Inerter (MTMDI) applied to adjacent high‐rise buildings , 2020, The Structural Design of Tall and Special Buildings.

[97]  Kaan Erkorkmaz,et al.  Accurate tracking controller design for high-speed drives , 2007 .

[98]  Ruifu Zhang,et al.  Mitigation of liquid sloshing in storage tanks by using a hybrid control method , 2016 .

[99]  Agathoklis Giaralis,et al.  Optimal tuned mass‐damper‐inerter (TMDI) design for seismically excited MDOF structures with model uncertainties based on reliability criteria , 2018 .

[100]  Ming Liang,et al.  Vibration suppression using two-terminal flywheel. Part I: Modeling and characterization , 2012 .

[101]  Xilin Lu,et al.  Nonlinear dissipative devices in structural vibration control: A review , 2018, Journal of Sound and Vibration.

[102]  Jinkoo Kim,et al.  Rotational inertia dampers with toggle bracing for vibration control of a building structure , 2007 .

[103]  Ruifu Zhang,et al.  Optimal design of an inerter isolation system considering the soil condition , 2019, Engineering Structures.

[104]  Nong Zhang,et al.  A rotary variable admittance device and its application in vehicle seat suspension vibration control , 2019, J. Frankl. Inst..

[105]  Michael Z. Q. Chen,et al.  Performance evaluation for inerter-based dynamic vibration absorbers , 2015 .

[106]  K. Ikago,et al.  FULL-SCALE DYNAMIC TESTS OF TUNED VISCOUS MASS DAMPER WITH FORCE RESTRICTION MECHANISM AND ITS ANALYTICAL VERIFICATION , 2011 .

[107]  David J. Wagg,et al.  Novel fluid inerter based tuned mass dampers for optimised structural control of base-isolated buildings , 2019, Journal of the Franklin Institute.

[108]  Ruifu Zhang,et al.  Demand‐based optimal design of oscillator with parallel‐layout viscous inerter damper , 2018 .

[109]  Nicos Makris,et al.  Seismic protection of structures with supplemental rotational inertia , 2016 .

[110]  Agathoklis Giaralis,et al.  Risk-informed optimization of the tuned mass-damper-inerter (TMDI) for the seismic protection of multi-storey building structures , 2018, Engineering Structures.

[111]  Qingjun Chen,et al.  Interaction of Two Adjacent Structures Coupled by Inerter-based System considering Soil Conditions , 2020, Journal of Earthquake Engineering.

[112]  Yi Tang,et al.  Seismic response control of adjacent high-rise buildings linked by the Tuned Liquid Column Damper-Inerter (TLCDI) , 2020 .

[113]  Liqun Chen,et al.  An inertial nonlinear energy sink , 2019, Journal of Sound and Vibration.

[114]  Chiara Masnata,et al.  Assessment of the tuned mass damper inerter for seismic response control of base‐isolated structures , 2020, Structural Control and Health Monitoring.

[115]  Qiao Gao,et al.  The missing mem-inerter and extended mem-dashpot found , 2020 .

[116]  Ruifu Zhang,et al.  A tuned liquid inerter system for vibration control , 2019 .

[117]  Yinlong Hu,et al.  Comfort-oriented vehicle suspension design with skyhook inerter configuration , 2017 .

[118]  Kohju Ikago,et al.  Modal Response Characteristics of a Multiple-Degree-Of-Freedom Structure Incorporated with Tuned Viscous Mass Dampers , 2012 .

[119]  Xugang Hua,et al.  Design and Evaluation of Tuned Inerter-Based Dampers for the Seismic Control of MDOF Structures , 2016 .

[120]  Billie F. Spencer,et al.  Inertial mass damper for mitigating cable vibration , 2017 .

[121]  Ruifu Zhang,et al.  Optimal design based on analytical solution for storage tank with inerter isolation system , 2020 .

[122]  T. T. Soong,et al.  Supplemental energy dissipation: state-of-the-art and state-of-the- practice , 2002 .

[123]  Hong Hao,et al.  Heave motion mitigation of semi-submersible platform using inerter-based vibration isolation system (IVIS) , 2020 .

[124]  Oya Mercan,et al.  Investigations of the application of gyro-mass dampers with various types of supplemental dampers for vibration control of building structures , 2016 .

[125]  Fu-Cheng Wang,et al.  The performance improvements of train suspension systems with mechanical networks employing inerters , 2009 .

[127]  D. De Domenico,et al.  An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI) , 2018 .

[128]  Hongping Zhu,et al.  Vibration mitigation of stay cables using electromagnetic inertial mass dampers: Full-scale experiment and analysis , 2019 .

[129]  Jiamei Nie,et al.  The mem-inerter: A new mechanical element with memory , 2018 .

[130]  Simon A Neild,et al.  Optimal design of a pair of vibration suppression devices for a multi‐storey building , 2019, Structural Control and Health Monitoring.

[131]  Yinlong Hu,et al.  Load mitigation for a barge-type floating offshore wind turbine via inerter-based passive structural control , 2018, Engineering Structures.

[132]  D. Inman,et al.  An electromagnetic vibration absorber with harvesting and tuning capabilities , 2015 .

[133]  W.K.S. Tang,et al.  Suppressing electromagnetic interference in direct current converters , 2009, IEEE Circuits and Systems Magazine.

[134]  Hongping Zhu,et al.  Mechanical and energy-harvesting model for electromagnetic inertial mass dampers , 2019, Mechanical Systems and Signal Processing.

[135]  Nicholas E. Wierschem,et al.  An inerter-enhanced nonlinear energy sink , 2019, Mechanical Systems and Signal Processing.

[136]  Alexander F. Vakakis,et al.  Inducing Passive Nonlinear Energy Sinks in Vibrating Systems , 2001 .

[137]  Malcolm C. Smith,et al.  The Inerter: A Retrospective , 2020, Annu. Rev. Control. Robotics Auton. Syst..

[138]  Hamid Reza Karimi,et al.  Parameter optimization of an inerter-based isolator for passive vibration control of Michelangelo’s Rondanini Pietà , 2018 .

[139]  Liqun Chen,et al.  Dynamic performance analysis of a mixed‐connected inerter‐based quasi‐zero stiffness vibration isolator , 2020, Structural Control and Health Monitoring.

[140]  Agathoklis Giaralis,et al.  Optimal tuned mass-damper-inerter (TMDI) design in wind-excited tall buildings for occupants’ comfort serviceability performance and energy harvesting , 2020, Engineering Structures.

[141]  Maurizio De Angelis,et al.  Defective two adjacent single degree of freedom systems linked by spring-dashpot-inerter for vibration control , 2019, Engineering Structures.

[142]  Oreste S. Bursi,et al.  Optimal design and novel configuration of a locally resonant periodic foundation (LRPF) for seismic protection of fuel storage tanks , 2019, Engineering Structures.

[143]  Zhao-Dong Xu,et al.  Tuned mass-damper-inerter control of wind-induced vibration of flexible structures based on inerter location , 2019, Engineering Structures.

[144]  Liqun Chen,et al.  Elimination of multimode resonances of composite plate by inertial nonlinear energy sinks , 2020 .

[145]  F-C Wang,et al.  Designing and testing a hydraulic inerter , 2011 .

[146]  Agathoklis Giaralis,et al.  Multi-objective optimal design of inerter-based vibration absorbers for earthquake protection of multi-storey building structures , 2019, J. Frankl. Inst..

[148]  Takeru Igusa,et al.  Vibration Control Using Multiple Tuned Mass Dampers , 1994 .

[149]  H. Hao,et al.  A novel rotational inertia damper for amplifying fluid resistance: Experiment and mechanical model , 2021 .

[150]  Liyuan Cao,et al.  Performance of multiple tuned mass dampers-inerters for structures under harmonic ground acceleration , 2020 .

[151]  Zhan Shu,et al.  Passive vehicle suspensions employing inerters with multiple performance requirements , 2014 .

[152]  S. Evangelou,et al.  Control of motorcycle steering instabilities , 2006, IEEE Control Systems.

[153]  P. Gonçalves,et al.  On the dynamics of a vibration isolator with geometrically nonlinear inerter , 2018 .

[154]  Qinhua Wang,et al.  Inerter-based tuned liquid column damper for seismic vibration control of a single-degree-of-freedom structure , 2020 .

[155]  井上 豊,et al.  ボールネジを用いた制震装置の開発 : その1 制震チューブ・制震ディスクの性能試験 , 1999 .

[156]  Hui Gao,et al.  Vibration control of a stay cable with a rotary electromagnetic inertial mass damper , 2019 .

[157]  Lin Chen,et al.  Cables interconnected with tuned inerter damper for vibration mitigation , 2017 .

[158]  Ali Kaveh,et al.  Statistical seismic performance assessment of tuned mass damper inerter , 2020, Structural Control and Health Monitoring.

[159]  Xiaofeng Yang,et al.  Performance investigation of vehicle suspension system with nonlinear ball-screw inerter , 2016 .

[160]  Agathoklis Giaralis,et al.  Optimal tuning and assessment of inertial dampers with grounded inerter for vibration control of seismically excited base-isolated systems , 2019, Engineering Structures.

[161]  Yoshikazu Araki,et al.  Structural control with tuned inertial mass electromagnetic transducers , 2018 .

[162]  Ming Liang,et al.  Design and analysis of a shock absorber with variable moment of inertia for passive vehicle suspensions , 2015 .

[163]  Yoshikazu Araki,et al.  Experimental characterization and performance improvement evaluation of an electromagnetic transducer utilizing a tuned inerter , 2019, Journal of Vibration and Control.

[164]  Jun Dai,et al.  Optimal design of tuned mass damper inerter with a Maxwell element for mitigating the vortex-induced vibration in bridges , 2021 .

[165]  Min Liu,et al.  Negative stiffness characteristics of active and semi‐active control systems for stay cables , 2008 .

[166]  B. Fitzgerald,et al.  Vibration control of spar‐type floating offshore wind turbine towers using a tuned mass‐damper‐inerter , 2019, Structural Control and Health Monitoring.