Analysis of Structural Response Reduction to Earthquakes Using a Tuned Mass Damper Inerter (TMDI) System

Authors

  • Ansadilla Niar Sitanggang Program Studi Rekayasa Sipil, Fakultas Teknik, Universitas Esa Unggul
  • Mitsaq Addina Nisa Jurusan Teknik Sipil, Politeknik Negeri Jakarta

DOI:

https://doi.org/10.37253/jcep.v7i1.12227

Keywords:

Inerter, Tuned Mass Damper Inerter, Structural Response, Vibration Control, Earthquake

Abstract

An inerter is a two-terminal mechanical element capable of generating a force proportional to the relative acceleration between its terminals, thereby enhancing the inertial effect in structural systems. The integration of an inerter with a Tuned Mass Damper (TMD) forms a Tuned Mass Damper Inerter (TMDI) system, which has the potential to improve vibration control performance under seismic excitation. This study aims to evaluate the effect of implementing TMDI on the dynamic response of building structures. The optimal design parameters of the TMDI were determined numerically by varying the frequency ratio (f) and damping ratio (ξ) based on the minimization of structural displacement response. The structural model analyzed in this study is a 12-story building equipped with a TMDI connected between the top floor and several lower floors. The analysis was conducted using a 12-story MDOF model based on MATLAB, with parameter optimization performed using the fminimax function and time-history evaluation under several earthquake records. The results show that connecting the TMDI to at least the 6th floor can reduce the structural responses in terms of displacement, acceleration, and velocity by approximately 50%, 41%, and 36%, respectively, compared with the structure without an inerter. In addition to providing greater response reduction, the TMDI system requires a smaller additional mass compared with a conventional TMD. To achieve approximately 20% response reduction, the TMDI requires a mass that is about four times smaller than that required by a TMD.

Downloads

Download data is not yet available.

References

De Domenico, D., & Ricciardi, G. (2018). Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems. Earthquake Engineering and Structural Dynamics, 47(12), 2539–2560. https://doi.org/10.1002/eqe.3098

Felny, F. (2025). Structural Performance Analysis of The BPJN Bengkulu Office Building Using The Response Spectrum Method Based on SNI 1726:2019. Journal of Civil Engineering and Planning, 6(2), 188–199. https://doi.org/10.37253/jcep.v6i2.11292

Giaralis, A., & Petrini, F. (2017). Wind-Induced Vibration Mitigation in Tall Buildings Using the Tuned Mass-Damper-Inerter. Journal of Structural Engineering, 143(9). https://doi.org/10.1061/(asce)st.1943-541x.0001863

Giaralis, A., & Taflanidis, A. A. (2018). Optimal tuned mass-damper-inerter (TMDI) design for seismically excited MDOF structures with model uncertainties based on reliability criteria. Structural Control and Health Monitoring, 25(2). https://doi.org/10.1002/stc.2082

Gutierrez Soto, M., & Adeli, H. (2013). Tuned Mass Dampers. Archives of Computational Methods in Engineering, 20(4), 419–431. https://doi.org/10.1007/s11831-013-9091-7

Ikago, K., Saito, K., & Inoue, N. (2012). Seismic control of single-degree-of-freedom structure using tuned viscous mass damper. Earthquake Engineering and Structural Dynamics, 41(3), 453–474. https://doi.org/10.1002/eqe.1138

Konar, T., & Ghosh, A. (Dey). (2024). Tuned mass damper inerter for seismic control of multi-story buildings: Ten years since inception. In Structures (Vol. 63). Elsevier Ltd. https://doi.org/10.1016/j.istruc.2024.106459

Lazar, I. F., Neild, S. A., & Wagg, D. J. (2014). Using an inerter-based device for structural vibration suppression. Earthquake Engineering and Structural Dynamics, 43(8), 1129–1147. https://doi.org/10.1002/eqe.2390

Ma, R., Bi, K., & Hao, H. (2021). Inerter-based structural vibration control: A state-of-the-art review. In Engineering Structures (Vol. 243). Elsevier Ltd. https://doi.org/10.1016/j.engstruct.2021.112655

Marian, L., & Giaralis, A. (2014). Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems. Probabilistic Engineering Mechanics, 38, 156–164. https://doi.org/10.1016/j.probengmech.2014.03.007

Papageorgiou, C., & Smith, M. C. (2005). Laboratory experimental testing of inerters. Proceedings of the 44th IEEE Conference on Decision and Control, 3351–3356. https://doi.org/10.1109/CDC.2005.1582679

Patsialis, D., Taflanidis, A. A., & Giaralis, A. (2023). Tuned-mass-damper-inerter optimal design and performance assessment for multi-storey hysteretic buildings under seismic excitation. Bulletin of Earthquake Engineering, 21(3), 1541–1576. https://doi.org/10.1007/s10518-021-01236-4

Smith, M. C. (2002). Synthesis of mechanical networks: the inerter. IEEE Transactions on Automatic Control, 47(10), 1648–1662. https://doi.org/10.1109/TAC.2002.803532

Swift, S. J., Smith, M. C., Glover, A. R., Papageorgiou, C., Gartner, B., & Houghton, N. E. (2013). Design and modelling of a fluid inerter. International Journal of Control, 86(11), 2035–2051. https://doi.org/10.1080/00207179.2013.842263

Zhafira, T., Kurniawan, I. B., Purwanto, P., Hidayat, M. F., & Prayuda, H. (2023). The The Structure Analysis of Five Floor Mall Building in Semarang City According to SNI 1726-2019 and SNI 2847-2019. Journal of Civil Engineering and Planning, 4(1), 1–13. https://doi.org/10.37253/jcep.v4i1.6872

Downloads

Published

2026-06-30

Issue

Section

Articles