Seismic responses of adjacent bridge structures coupled by tuned inerter damper

Abstract This paper proposes using a tuned inerter damper (TID) system to mitigate the potential pounding and unseating damages between the adjacent bridge structures under severe earthquakes. The control effectiveness of the proposed method is investigated both in the frequency and time domains. For comparison, the models and responses of the adjacent bridge structures without control and controlled by the traditional viscous dampers that are modelled by a Kelvin system or a Maxwell system are also developed and calculated. The analytical results reveal that the TID system can achieve almost the same or even better control effectiveness compared to the conventional viscous dampers with a much smaller additional damping. The proposed method can provide a good alternative to control the excessive relative motions between the adjacent bridge structures.

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

[2]  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.

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

[4]  B. Hazra,et al.  Study on wind-induced vibration control of linked high-rise buildings by using TMDI , 2020 .

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

[6]  Hengjia Zhu,et al.  Optimum parameters of Maxwell model-defined dampers used to link adjacent structures , 2005 .

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

[8]  Hong Hao,et al.  Devices for protecting bridge superstructure from pounding and unseating damages: an overview , 2017 .

[9]  Ruifu Zhang,et al.  Demand-Based Optimal Design of Storage Tank with Inerter System , 2017 .

[10]  Nawawi Chouw,et al.  Required separation distance between decks and at abutments of a bridge crossing a canyon site to avoid seismic pounding , 2009 .

[11]  Shigeki Unjoh,et al.  IMPACT OF HANSHIN/AWAJI EARTHQUAKE ON SEISMIC DESIGN AND SEISMIC STRENGTHENING OF HIGHWAY BRIDGES , 1997 .

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

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

[14]  Shehata E. Abdel Raheem Pounding mitigation and unseating prevention at expansion joints of isolated multi-span bridges , 2009 .

[15]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

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

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

[18]  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.

[19]  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 .

[20]  M. De Angelis,et al.  Optimal design and performance evaluation of systems with Tuned Mass Damper Inerter (TMDI) , 2017 .

[21]  Billie F. Spencer,et al.  Viscous inertial mass damper (VIMD) for seismic responses control of the coupled adjacent buildings , 2021 .

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

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

[24]  Xinguang Ge,et al.  Equivalent damping of SDOF structure with Maxwell damper , 2018, Earthquake Engineering and Engineering Vibration.

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

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

[27]  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.

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

[29]  Haijun Zhang,et al.  Particle swarm optimization of TMD by non‐stationary base excitation during earthquake , 2008 .

[30]  S. Neild,et al.  Vibration suppression for monopile and spar‐buoy offshore wind turbines using the structure‐immittance approach , 2020, Wind Energy.

[31]  K. Dai,et al.  Seismic response mitigation of a wind turbine tower using a tuned parallel inerter mass system , 2019, Engineering Structures.

[32]  A. Kiureghian,et al.  Response spectrum method for multi‐support seismic excitations , 1992 .

[33]  Agathoklis Giaralis,et al.  Use of inerter devices for weight reduction of tuned mass-dampers for seismic protection of multi-story building: the Tuned Mass-Damper-Interter (TMDI) , 2016, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[34]  Timothy Wayne Mays Seismic Design of Lightweight Metal Building Systems , 2001 .

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

[36]  Reginald DesRoches,et al.  Comparison between Shape Memory Alloy Seismic Restrainers and Other Bridge Retrofit Devices , 2007 .

[37]  Masanobu Shinozuka,et al.  Viscoelastic Dampers at Expansion Joints for Seismic Protection of Bridges , 2000 .

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

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

[40]  Zifa Wang A preliminary report on the Great Wenchuan Earthquake , 2008 .

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

[42]  Hui Li,et al.  Experimental study of a highway bridge with shape memory alloy restrainers focusing on the mitigation of unseating and pounding , 2012, Earthquake Engineering and Engineering Vibration.

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

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

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

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

[47]  B. F. Spencer,et al.  Design criteria for dissipative devices in coupled oscillators under seismic excitation , 2018 .

[48]  Anne S. Kiremidjian,et al.  Statistical Analysis of Bridge Damage Data from the 1994 Northridge, CA, Earthquake , 1999 .

[49]  M. Alam,et al.  Displacement-Based Seismic Design of Steel, FRP, and SMA Cable Restrainers for Isolated Simply Supported Bridges , 2018, Journal of Bridge Engineering.

[50]  Torajiro Fujiwara,et al.  Damage to railway earth structures and foundations caused by the 2011 off the Pacific Coast of Tohoku Earthquake , 2012 .

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

[52]  Songye Zhu,et al.  Seismic performance of benchmark base‐isolated bridges with superelastic Cu–Al–Be restraining damping device , 2009 .

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

[54]  Zhihao Wang,et al.  Optimum design of viscous inerter damper targeting multi-mode vibration mitigation of stay cables , 2021, Engineering Structures.

[55]  Masanobu Shinozuka,et al.  Energy dissipating restrainers for highway bridges , 2000 .

[56]  Nawawi Chouw,et al.  Significance of SSI and non-uniform near-fault ground motions in bridge response II: Effect on response with modular expansion joint , 2008 .

[57]  Hamid Reza Karimi,et al.  Advanced computational design of shared tuned mass-inerter dampers for vibration control of adjacent multi-story structures , 2017 .

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

[59]  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.

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

[61]  Roberto T. Leon,et al.  FULL-SCALE TESTS OF SEISMIC CABLE RESTRAINER RETROFITS FOR SIMPLY SUPPORTED BRIDGES , 2003 .

[62]  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.

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

[64]  Hong Hao,et al.  Modelling and simulation of spatially varying earthquake ground motions at sites with varying conditions , 2012 .

[65]  Nawawi Chouw,et al.  STATE-OF-THE-ART REVIEW ON SEISMIC INDUCED POUNDING RESPONSE OF BRIDGE STRUCTURES , 2013 .