Seismic Assessment and Optimal Design for Structures with Clutching Inerter Dampers
Publication: Journal of Engineering Mechanics
Volume 146, Issue 4
Abstract
Clutching inerter damper (CID) is an innovative damping device with inherent nonlinearity. In this paper, the description of the CID system is firstly made followed by the analyses of free vibration and harmonic response. Secondly, the equivalent linearization method (ELM) based on statistical linearization is studied to linearize the CID system. Thirdly, the layout of the CID in a multidegree-of-freedom (MDOF) structure is discussed and the ELM is extended to the MDOF structure based on modal reconstruction. Finally, the spectra-based seismic assessment and performance design are discussed via the equivalent linearization system (ELS), which proves to be a simplified way for the assessment and design of structures with CID. Results have shown that the ELS is accurate and convenient to approximate the CID system, and it is suggested that the CID should be mounted in the weak layers of the MDOF structure.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was supported in part by the National Key R&D Program of China No. 2017YFC0703600 and the National Natural Science Foundation of China No. 51678116.
References
Buchholdt, H., and S. Moossavi Nejad. 2012. Structural dynamics for engineers. 2nd ed. London: ICE Publishing.
Clough, R. W., and J. Penzien. 2003. Dynamics of structures. 3rd ed. Berkeley, CA: Computers and Structures.
De Domenico, D., and G. Ricciardi. 2018a. “An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI).” Earthquake Eng. Struct. Dyn. 47 (5): 1169–1192. https://doi.org/10.1002/eqe.3011.
De Domenico, D., and G. Ricciardi. 2018b. “Improving the dynamic performance of base-isolated structures via tuned mass damper and inerter devices: A comparative study.” Struct. Control Health Monit. 25 (10): e2234. https://doi.org/10.1002/stc.2234.
Garrido, H., O. Curadelli, and D. Ambrosini. 2013. “Improvement of tuned mass damper by using rotational inertia through tuned viscous mass damper.” Eng. Struct. 56 (Nov): 2149–2153. https://doi.org/10.1016/j.engstruct.2013.08.044.
Hsu, T.-I., and M. C. Bernard. 1978. “A random process for earthquake simulation.” Earthquake Eng. Struct. Dyn. 6 (4): 347–362. https://doi.org/10.1002/eqe.4290060403.
Hu, Y., M. Z. Chen, Z. Shu, and L. Huang. 2015. “Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution.” J. Sound Vib. 346 (Jun): 17–36. https://doi.org/10.1016/j.jsv.2015.02.041.
Hwang, J.-S., J. Kim, and Y.-M. Kim. 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.
Ikago, K., K. Saito, and N. Inoue. 2012. “Seismic control of single-degree-of-freedom structure using tuned viscous mass damper.” Earthquake Eng. Struct. Dyn. 41 (3): 453–474. https://doi.org/10.1002/eqe.1138.
Kiureghian, A. D., and A. Neuenhofer. 1992. “Response spectrum method for multi-support seismic excitations.” Earthquake Eng. Struct. Dyn. 21 (8): 713–740. https://doi.org/10.1002/eqe.4290210805.
Lazar, I. F. 2014. “Using an inerter-based device for structural vibration suppression.” Earthquake Eng. Struct. Dyn. 43 (8): 1129–1147. https://doi.org/10.1002/eqe.2390.
Lazar, I. F., S. A. Neild, and D. J. Wagg. 2016. “Vibration suppression of cables using tuned inerter dampers.” Eng. Struct. 122 (Sep): 62–71. https://doi.org/10.1016/j.engstruct.2016.04.017.
Li, L., and H. Liang. 2018. “Semiactive control of structural nonlinear vibration considering the MR damper model.” J. Aerosp. Eng. 31 (6): 04018095. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000902.
Li, L., Q. Liang, and H. Qin. 2019. “Equivalent linearization methods for a control system with clutching inerter damper.” Appl. Sci. 9 (4): 688. https://doi.org/10.3390/app9040688.
Li, L., G. Song, M. Singla, and Y.-L. Mo. 2015. “Vibration control of a traffic signal pole using a pounding tuned mass damper with viscoelastic materials (ii): Experimental verification.” J. Vib. Control 21 (4): 670–675. https://doi.org/10.1177/1077546313488407.
Lin, W., G. Song, and S. Chen. 2017. “PTMD control on a benchmark TV tower under earthquake and wind load excitations.” Appl. Sci. 7 (4): 425. https://doi.org/10.3390/app7040425.
Liu, M., P. Zhou, and H. Li. 2018. “Novel self-centering negative stiffness damper based on combination of shape memory alloy and prepressed springs.” J. Aerosp. Eng. 31 (6): 04018100. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000926.
Lu, L., Y. F. Duan, B. F. Spencer, X. Lu, and Y. Zhou. 2017. “Inertial mass damper for mitigating cable vibration.” Struct. Control Health Monit. 24 (10): e1986. https://doi.org/10.1002/stc.1986.
Makris, N., and G. Kampas. 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.
Marian, L., and A. Giaralis. 2015. “Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems.” Probab. Eng. Mech. 38 (Oct): 156–164. https://doi.org/10.1016/j.probengmech.2014.03.007.
Pradono, M. H., H. Iemura, A. Igarashi, and A. Kalantari. 2008. “Application of angular-mass dampers to base-isolated benchmark building.” Struct. Control Health Monit. 15 (5): 737–745. https://doi.org/10.1002/stc.270.
Qian, H., H. Li, and G. Song. 2016. “Experimental investigations of building structure with a superelastic shape memory alloy friction damper subject to seismic loads.” Smart Mater. Struct. 25 (12): 125026. https://doi.org/10.1088/0964-1726/25/12/125026.
Roberts, J. B., and P. D. Spanos. 1990. Random vibration and statistical linearization. Chichester, UK: Wiley.
Shinozuka, M., and G. Deodatis. 1991. “Simulation of stochastic processes by spectral representation.” Appl. Mech. Rev. 44 (4): 191. https://doi.org/10.1115/1.3119501.
Smith, M. C. 2002. “Synthesis of mechanical networks: The inerter.” IEEE Trans. Autom. Control 47 (10): 1648–1662. https://doi.org/10.1109/TAC.2002.803532.
Song, G. B., P. Zhang, L. Y. Li, M. Singla, D. Patil, H. N. Li, and Y. L. Mo. 2016. “Vibration control of a pipeline structure using pounding tuned mass damper.” J. Eng. Mech. 142 (6): 04016031. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001078.
Wang, H., L. Li, G. Song, J. B. Dabney, and T. L. Harman. 2015. “A new approach to deal with sensor errors in structural controls with MR damper.” Smart Struct. Syst. 16 (2): 329–345. https://doi.org/10.12989/sss.2015.16.2.329.
Wang, M., and F. Sun. 2018. “Displacement reduction effect and simplified evaluation method for SDOF systems using a clutching inerter damper.” Earthquake Eng. Struct. Dyn. 47 (7): 1651–1672. https://doi.org/10.1002/eqe.3034.
Wen, Y., Z. Chen, and X. Hua. 2017. “Design and evaluation of tuned inerter-based dampers for the seismic control of MDOF structures.” J. Struct. Eng. 143 (4): 04016207. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001680.
Zhang, P., G. Song, H.-N. Li, and Y.-X. Lin. 2013. “Seismic control of power transmission tower using pounding TMD.” J. Eng. Mech. 139 (10): 1395–1406. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000576.
Zhao, N., C. Lu, M. Chen, N. Luo, and C. Liu. 2018. “Parametric study of pounding tuned mass damper based on experiment of vibration control of a traffic signal structure.” J. Aerosp. Eng. 31 (6): 04018108. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000942.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 146 • Issue 4 • April 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Feb 23, 2019
Accepted: Aug 21, 2019
Published online: Feb 11, 2020
Published in print: Apr 1, 2020
Discussion open until: Jul 11, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.