Skip to main content
Log in

Optimization of tuned mass damper inerter for a high-rise building considering soil-structure interaction

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

The dynamic responses of the buildings and the optimum parameters of tuned mass damper inerter (TMDI) may change significantly when soil-structure interaction (SSI) is considered. Thus, it is necessary to consider the effect of the SSI in the optimization of TMDI. The study aims at proposing a methodology for optimization of TMDI parameters in reducing maximum structural responses of a high-rise building under earthquake considering the SSI effects. The equations of motion for time-domain analysis are derived for obtaining seismic-induced vibrations of a multi-story shear building with TMDI when the SSI is considered. An improved particle swarm optimization (IPSO) is used to obtain the optimum parameters. The aim of the optimization is to reduce the amplitude of the acceleration transfer function (ATF). The effectiveness of the optimally designed TMDI is assessed for twelve earthquake records with different frequency contents. The effect of the different mass ratios (µ), inertance ratios (β) and support conditions on control performance of the TMDI are investigated in detail. Numerical results proved that the SSI effect and the inertance ratio have a significant impact on the optimal design and effectiveness of the TMDI. From the seismic analysis results, it is seen that the controlled displacement response usually increases with the increase in the inertia ratio for both the fixed and flexible foundation, and a lower seismic response is obtained in the building controlled by TMD compared with the TMDI with different inertance ratios.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21

Similar content being viewed by others

References

  1. Lu, Z., Chen, X.Y., Li, X.W., Li, P.Z.: Optimization and application of multiple tuned mass dampers in the vibration control of pedestrian bridges. Struct. Eng. Mech. 62(1), 55–64 (2017)

    Article  Google Scholar 

  2. Araz, O., Kahya, V.: Optimization of multiple tuned mass dampers for a two-span continuous railway bridge via differential evolution algorithm. Structures 39, 29–38 (2022)

    Article  Google Scholar 

  3. Kahya, V., Araz, O.: A simple design method for multiple tuned mass dampers in reduction of excessive vibrations of high-speed railway bridges. J. Faculty Eng. Arch. Gazi Univ. 35(2), 607–618 (2020)

    Google Scholar 

  4. Sadek, F., Mohraz, B., Taylor, A.W., Chung, R.M.: A method of estimating the parameters of tuned mass dampers for seismic applications. Earthq. Eng. Struct. Dyn. 26(6), 617–635 (1997)

    Article  Google Scholar 

  5. Leung, A.Y.T., Zhang, H., Cheng, C.C., Lee, Y.Y.: Particle swarm optimization of TMD by non-stationary base excitation during earthquake. Earthq. Eng. Struct. Dyn. 37(9), 1223–1246 (2008)

    Article  Google Scholar 

  6. Cetin, H., Aydin, E.: A new tuned mass damper design method based on transfer functions. KSCE J. Civ. Eng. 23, 4463–4480 (2019)

    Article  Google Scholar 

  7. Bekdaş, G., Kayabekir, A.C., Nigdeli, S.M., Toklu, Y.C.: Tranfer function amplitude minimization for structures with tuned mass dampers considering soil-structure interaction. Soil Dyn. Earthq. Eng. 116, 552–562 (2019)

    Article  Google Scholar 

  8. Yucel, M., Bekdas, G., Nigdeli, S.M., Sevgen, S.: Estimation of optimum tuned mass damper parameters via machine learning. J. Build. Eng. 26, 100847 (2019)

    Article  Google Scholar 

  9. Araz, O., Kahya, V.: Design of series tuned mass dampers for seismic control of structures using simulated annealing algorithm. Arch. Appl. Mech. 91(10), 4343–4359 (2021)

    Article  Google Scholar 

  10. Araz, O., Ozturk, K.F., Cakir, T.: Effect of different objective functions on control performance of tuned mass damper for a high-rise building considering soil–structure interaction. Arch. Appl. Mech 92, 1413 (2022)

    Article  Google Scholar 

  11. Liu, M.Y., Chiang, W.L., Hwang, J.H., Chu, C.R.: Wind-induced vibration of high-rise building with tuned mass damper including soil-structure interaction. J. Wind Eng. Ind. Aerodyn. 96, 1092–1102 (2008)

    Article  Google Scholar 

  12. Venanzi, I.: Robust optimal design of tuned mass dampers for tall buildings with uncertain parameters. Struct. Multidisc. Optim. 51(1), 239–250 (2015)

    Article  Google Scholar 

  13. Sun, Z., Zou, Z.L., Ying, X.Y., Li, X.Q.: Tuned mass dampers for wind-induced vibration control of Chongqi bridge. J. Bridge Eng. 25(1), 05019013 (2020)

    Article  Google Scholar 

  14. Xu, K., Igusa, T.: Dynamic characteristics of multiple substructures with closely spaced frequencies. Earthq. Eng. Struct. Dyn. 21, 1059–1070 (1992)

    Article  Google Scholar 

  15. Raze, G., Kerschen, G.: H optimization of multiple tuned mass dampers for multimodal vibration control. Comput. Struct. 248, 106485 (2021)

    Article  Google Scholar 

  16. Zuo, L.: Effective and robust vibration control using series multiple tuned-mass dampers. J. Vib. Acoust. 131(3), 031003 (2009)

    Article  Google Scholar 

  17. Kahya, V., Araz, O.: Series tuned mass dampers in train-induced vibration control of railway bridges. Struct. Eng. Mech. 61(4), 453–461 (2017)

    Article  Google Scholar 

  18. Araz, O., Kahya, V.: Series tuned mass dampers in vibration control of continuous railway bridges. Struct. Eng. Mech. 73(2), 133–141 (2020)

    Google Scholar 

  19. Cheung, Y.L., Wong, W.O.: H2 optimization of a non-traditional dynamic vibration absorber for vibration control of structures under random force excitation. J. Sound Vib. 330, 1039–1044 (2011)

    Article  Google Scholar 

  20. Araz, O.: Effect of detuning conditions on the performance of non-traditional tuned mass dampers under external excitation. Arch. Appl. Mech. 90(3), 523–532 (2020)

    Article  Google Scholar 

  21. Anh, N.D., Nguyen, N.X., Hoa, L.T.: Design of three-element dynamic vibration absorber for damped linear structures. J. Sound Vib. 332(19), 4482–4495 (2013)

    Article  Google Scholar 

  22. Wang, W., Yang, Z., Hua, X., Chen, Z., Wang, X., Song, G.: Evaluation of a pendulum pounding tuned mass damper for seismic control of structures. Eng. Struct. 28, 111554 (2021)

    Article  Google Scholar 

  23. Giaralis, A., Taflanidis, A.A.: Reliability-based design of tuned mass-damper-inerter (TMDI) equipped multi-storey frame buildings under seismic excitation. In: 12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP12, Canada, 12–15 July 2015

  24. Marian, L., Giaralis, A.: The tuned mass-damper-inerter for harmonic vibrations suppression, attached mass reduction, and energy harvesting. Smart Struct. Syst. 19(6), 665–678 (2017)

    Google Scholar 

  25. Pietrosanti, D., De Angelis, M., Basili, M.: Optimal design and performance evaluation of systems with tuned mass damper inerter (TMDI). Earthq. Eng. Struct. Dyn. 46(8), 1367–1388 (2017)

    Article  Google Scholar 

  26. Giaralis, A., Taflanidis, A.A.: Optimal tuned mass dampe-inerter (TMDI) design for seismically excited MDOF structures with model uncertinties based on reliability criteria. Struct Control Health Monit 25(2), e2082 (2018)

    Article  Google Scholar 

  27. Ruiz, R., Taflanidis, A.A., Giaralis, A., Lopez-Garcia, D.: Risk-informed optimization of the tuned mass-damper-inerter (TMDI) for the seismic protection of multi-storey building structures. Eng. Struct. 177, 836–850 (2018)

    Article  Google Scholar 

  28. Taflanidis, A.A., Giaralis, A., Patsialis, D.: Multi-objective optimal design of inerter-based vibration absorbers for earthquake protection of multi-storey building structures. J. Franklin Ins. 356, 7754–7784 (2019)

    Article  MATH  Google Scholar 

  29. Lara-Valencia, L.A., Farbiarz-Farbiarz, Y., Valencia-Gonz´alez, Y.: Design of a tuned mass damper inerter (TMDi) based on an exhaustive search optimization for structural control of buildings under seismic excitations. Shock Vib. 2020, 8875268 (2020)

    Google Scholar 

  30. Wang, Z., Giaralis, A.: Enhanced motion control performance of the tuned mass damper inerter through primary structure shaping. Struct. Control Health Monit. 28(8), e2756 (2021)

    Article  Google Scholar 

  31. Patsialis, D., Taflanidis, A.A., Giaralis, A.: Tuned‑mass‑damper‑inerter optimal design and performance assessment for multi‑storey hysteretic buildings under seismic excitation. Bull. Earthq. Eng. (2021). https://doi.org/10.1007/s10518-021-01236-4

  32. Caicedo, D., Lara-Valencia, L., Blandon, J., Graciano, C.: Seismic response of high-rise buildings through metaheuristic-based optimization using tuned mass dampers and tuned mass dampers inerter. J. Build. Eng. 34, 101927 (2021)

    Article  Google Scholar 

  33. Kennedy, J., Eberhart, R.C.: Particle swarm optimization. Proc. Conf. IEEE on Neural Networks 4, 1942–1948 (1995)

    Article  Google Scholar 

  34. Datta, T.K.: Seismic Analysis of Structures. Wiley, New York (2010)

    Book  Google Scholar 

  35. Marian, L.: The tuned mass damper inerter for passive vibration control and energy harvesting in dynamically excited structural systems, Doctoral thesis. City University London (2016)

    Google Scholar 

  36. Golnargesi, S., Shariatmadar, H., Razavi, H.M.: Seismic control of buildings with active tuned mass damper through interval type-2 fuzzy logic controller including soil–structure interaction. Asian J. Civil Eng. 19, 177–188 (2018)

    Article  Google Scholar 

  37. Liu, S., Lu, Z., Li, P., Ding, S., Wan, Fei: Shaking table test and numerical simulation of eddy-current tuned mass damper for structural seismic control considering soil-structure interaction. Eng. Struct. 212, 110531 (2020)

    Article  Google Scholar 

  38. Den Hartog, J.P.: Mechanical Vibrations. McGraw-Hill, New York (1956)

    MATH  Google Scholar 

  39. Warburton, G.B.: Optimum absorber parameters for various combinations of response and excitation parameters. Earthq. Eng. Struct. Dyn. 10(3), 381–401 (1982)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Onur Araz.

Ethics declarations

Conflict of interest

The author declares no potential conflicts of interest and also received no financial support for the research, authorship, and/or publication of this article.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Araz, O. Optimization of tuned mass damper inerter for a high-rise building considering soil-structure interaction. Arch Appl Mech 92, 2951–2971 (2022). https://doi.org/10.1007/s00419-022-02217-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-022-02217-y

Keywords

Navigation