A Nonlinear Cable Bracing Inerter System for Vibration Control

A Nonlinear Cable Bracing Inerter System for Vibration Control

Xinlei Ban, Songtao Xue, Jianfei Kang, Kohju Ikago, Liyu Xie

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Abstract. This study proposes a nonlinear cable model for the cable-bracing inerter system (CBIS). In a CBIS, cables are introduced to connect inerter systems and the structure for translation-to-rotation conversion. This CBIS employs an inerter element, a nonlinear cable bracing element and an additional damping element to utilize their synergy benefits. This paper aims to investigate the control effect of the nonlinear CBIS for high-rise buildings that are represented as bending-shear type models. First, a nonlinear inerter system is incorporated into a single-degree-of-freedom (SDOF) system and the mechanical model is proposed. An optimum design method is then developed for a high-rise building system equipped with a CBIS and the time-history analyses are conducted to validate the control effect of the CBIS. It is concluded that the employment of a CBIS can substantially improve the structural performance. A genetic algorithm can be used to obtain optimal parameters of a CBIS, thereby more effectively reducing the dynamic response of high-rise buildings.

Nonlinear Cable Bracing, Inerter System, Bending-Shear Model, Vibration Mitigation, Optimization Design

Published online 2/20/2021, 9 pages
Copyright © 2021 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Xinlei Ban, Songtao Xue, Jianfei Kang, Kohju Ikago, Liyu Xie, A Nonlinear Cable Bracing Inerter System for Vibration Control, Materials Research Proceedings, Vol. 18, pp 170-178, 2021

DOI: https://doi.org/10.21741/9781644901311-20

The article was published as article 20 of the book Structural Health Monitoring

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

[1] K. Ikago, K. Saito, N. Inoue, Seismic control of single-degree-of-freedom structure using tuned viscous mass damper, Earthq. Eng. Struct. Dyn. 41 (2012) 453-474. https://doi.org/10.1002/eqe.1138
[2] R.F. Zhang, Z.P. Zhao, C. Pan, K. Ikago, S.T. Xue, Damping enhancement principle of inerter system, Struct. Control Health Monit. (2020). https://doi.org/10.1002/stc.2523
[3] M.Z.Q. Chen, Y. Hu, L. Huang, G. Chen, Influence of inerter on natural frequencies of vibration systems, J. Sound. Vib. 333 (2014) 1874-1887. https://doi.org/10.1016/j.jsv.2013.11.025
[4] Z.P. Zhao, R. F. Zhang, Z. Lu, A particle inerter system for structural seismic response mitigation, J. Frankl. Inst. 356 (2019) 7669-7688. https://doi.org/10.1016/j.jfranklin.2019.02.001
[5] Q.J. Chen, Z.P. Zhao, R.F. Zhang, C. Pan, Impact of soil–structure interaction on structures with inerter system, J. Sound. Vib. 433 (2018) 1-15. https://doi.org/10.1016/j.jsv.2018.07.008
[6] S. Kawamata, Development of a vibration control system of structures by means of mass pumps. Institute of Industrial Science, University of Tokyo, Tokyo, Japan, 1973.
[7] T. Arakaki, H. Kuroda, F. Arima, Y. Inoue, K. Baba, Development of seismic devices applied to ball screw: Part 1 basic performance test of rd-series, J. Archit. Build. Sci. 5 (1999) 239-244. https://doi.org/10.3130/aijt.5.239_1
[8] J.S. Hwang, J. Kim, Y.M. Kim, Rotational inertia dampers with toggle bracing for vibration control of a building structure, Eng. Struct. 29 (2007) 1201-1208. https://doi.org/10.1016/j.engstruct.2006.08.005
[9] S.E. Landsberger, A minimal, minimal linkage: the tension-compression parallel link manipulator, Robotics Mechatron Manufact. Syst. 2 (1993) 81-88. https://doi.org/10.1016/B978-0-444-89700-8.50017-8
[10] M. Kurata, R.T. Leon, R. DesRoches, Rapid seismic rehabilitation strategy: concept and testing of cable bracing with couples resisting damper, J. Struct. Eng. 138 (2012) 354-362. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000401
[11] H. Kida, K. Kakemoto, N. Hori, K. Ikago, N. Inoue, Control of bending behavior of high rise buildings by tuned viscous mass dampers installed in the vertical direction by support members with nonlinear stiffness properties. Part 3. Study on 3D frame model, AIJ Annual Convention (2020).
[12] L.Y. Xie, X.L. Ban, S.T. Xue, K. Ikago, J.F. Kang, H.S. Tang, Theoretical study on a cable-bracing inerter system for seismic mitigation, Appl. Sci. 9 (2019) 4096. https://doi.org/10.3390/app9194096
[13] X.L. Ban S.T. Xue, K. Ikago, Optimal design of a cable-bracing inerter system containing asymmetric supporting spring stiffness, AIJ Annual Convention (2020).
[14] T. Itou, Feasibility study on a tuned hydraulic inerter-damper with large apparent mass incorporated into super high-rise structure, Tohoku University (2019).