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Evaluation of the Dynamic Response of Buildings with TMDs Under Earthquakes

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Abstract

There is ample evidence that TMDs attenuate the vibration response of buildings subject to low-frequency wind loads. The same is not true for broad-banded earthquake loading. This paper investigates the effectiveness of TMDs in attenuation of vibration in buildings submitted to earthquake ground motion. A positional finite element model is developed, and employed to evaluate linear and geometrically nonlinear dynamical responses of building structures with TMDs under earthquakes. It was noted that TMDs tuned to higher frequencies work better at minimizing displacements and oscillation frequency, in contrast to what is popularly believed, that devices tuned to the building’s fundamental frequencies present ideal performance. The linear regimen showed to be sufficient to estimates the displacements of the building and the imposition of earthquake loads as equivalent lateral forces was not representative and does not describe accurately the behavior of the structure. The incorporation of TMDs showed to be very effective in reducing vibrations when the structure is subjected to earthquake loads. However, benefits are only achieved when TMDs are properly designed, and when structural responses are correctly evaluated.

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References

  1. Housner, W., Bergman, A., Caughey, K., et al.: Structural control: past, present, and future. J. Eng. Mech. 9, 897–971 (1997)

    Article  Google Scholar 

  2. Spencer, B., Nagarajaiah, S.: State of the art of structural control. J. Struct. Eng. 7, 845–856 (2003)

    Article  Google Scholar 

  3. Frahm, H.: Device for damping vibration of bodies. US Patent 989958 (1909)

    Google Scholar 

  4. Hartog, D.: Mechanical Vibrations, 4th edn. McGraw-Hill Inc., New York (1956)

    MATH  Google Scholar 

  5. Warburton, G., Ayorinde, E.: Optimum absorber parameters for simples systems. Earthq. Eng. Struct. Dyn. 8, 197–217 (1980)

    Article  Google Scholar 

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

    Article  Google Scholar 

  7. Rana, R., Soong, T.: Parametric study and simplified design of tuned mass dampers. Eng. Struct. 3(20), 193–204 (1998)

    Article  Google Scholar 

  8. Hoang, N., Warnitchai, P.: Design of multiple tuned mass dampers by using a numerical optimizer. Earthq. Eng. Struct. Dyn. 34, 25–144 (2005)

    Article  Google Scholar 

  9. Marian, L., Giaralis, A.: Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems. Probab. Eng. Mech. 38, 156–164 (2015)

    Article  Google Scholar 

  10. Rüdinger, F.: Optimal vibration absorber with nonlinear viscous power law damping and white noise excitation. J. Eng. Mech. 132, 46–53 (2006)

    Article  Google Scholar 

  11. Tubaldi, E., Kougiomtzoglou, I.A.: Nonstationary stochastic response of structural systems equipped with nonlinear viscous dampers under seismic excitation. Earthq. Eng. Struct. Dyn. 44, 121–138 (2014)

    Article  Google Scholar 

  12. Kaynia, J.M., Veneziano, A.M., Biggs, D.: Seismic effectiveness of tuned mass dampers. J. Struct. Div. 107, 1465–1483 (1981)

    Google Scholar 

  13. Parulekar, Y.M., Reddy, G.R.: For seismic response reduction. Int. J. Struct. Stab. Dyn. 9, 151–177 (2009)

    Article  Google Scholar 

  14. Hoang, N., Fujino, Y., Warnitchai, P.: Optimal tuned mass damper for seismic applications and practical design formulas. Eng. Struct. 30, 707–715 (2008)

    Article  Google Scholar 

  15. Soto-brito, R., Ruiz, S.E.: Influence of ground motion intensity on the effectiveness of tuned mass dampers. Earthq. Eng. Struct. Dyn. 1271, 1255–1271 (1999)

    Article  Google Scholar 

  16. Beck, A.T., Kougioumtzoglou, I.A., Santos, K.R.M.: Optimal performance-based design of non-linear stochastic dynamical RC structures subject to stationary wind excitation. Eng. Struct. 78, 145–153 (2014)

    Article  Google Scholar 

  17. Moutinho, C.: An alternative methodology for designing tuned mass dampers to reduce seismic vibrations in buildings structures. Earthq. Eng. Struct. Dyn. 41, 2059–2073 (2012)

    Article  Google Scholar 

  18. Coda, H.B., Greco, M.: A simple FEM formulation for large deflection 2D frame analysis based on position description. Comput. Methods Appl. Mech. Eng. 193, 3541–3557 (2004)

    Article  Google Scholar 

  19. Coda, H.B., Paccola, R.R.: A total-Lagrangian position-based FEM applied to physical and geometrical nonlinear dynamics of plane frames including semi-rigid connections and progressive collapse. Finite Elem. Anal. Des. 91, 1–15 (2014)

    Article  MathSciNet  Google Scholar 

  20. Paultre, P.: Dynamics of Structures, 1st ed. Wiley (2010)

    Google Scholar 

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Correspondence to Rúbia Mara Bosse .

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Bosse, R.M., Beck, A.T. (2019). Evaluation of the Dynamic Response of Buildings with TMDs Under Earthquakes. In: Fleury, A., Rade, D., Kurka, P. (eds) Proceedings of DINAME 2017. DINAME 2017. Lecture Notes in Mechanical Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-91217-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-91217-2_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91216-5

  • Online ISBN: 978-3-319-91217-2

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