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An innovative design method for nonlinear tuned mass damper

  • Li, Luyu (School of Civil Engineering, Dalian University of Technology) ;
  • Du, Yongjia (School of Civil Engineering, Dalian University of Technology)
  • Received : 2018.02.09
  • Accepted : 2018.04.11
  • Published : 2018.06.25
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Abstract

The commonly used TMD design method in the project assumes the TMD has pure linearity. However, in real engineering TMD will exhibit nonlinear behaviors. Without considering the nonlinearity of TMD, the control effect of the TMD that is designed by the linear design method, may be worse and even enlarge the structural response. In this paper, based on the previous study results of nonlinear TMD, the improved design method for engineering application is proposed. The linear design method and the improved design method are compared. Taking the best parameter obtained by the improved design method is less than or equal to 90% of that obtained by the original design method as the dividing line. The critical nonlinear coefficient, reaching which value the improved design method needs to be used, is given. Finally, numerical simulations on two engineering examples are conducted to proof the results.

Keywords

Acknowledgement

Supported by : National Science Foundation of China

References

  1. Alexander, N.A. and Schilder, F (2009), "Exploring the performance of a nonlinear tuned mass damper", J. Sound Vib., 319, 445-462. https://doi.org/10.1016/j.jsv.2008.05.018
  2. Bert, C.W., Egle, D.M. and Wilkins, D.J. (1990), "Optimal design of a nonlinear dynamic absorber", J. Sound Vib., 137, 347-352. https://doi.org/10.1016/0022-460X(90)90802-7
  3. Chen, Y. and Xu, Y. (2014), "Vibration suppression analysis for a tall structure attached with a nonlinear energy sink absorber", J. Vib. Shock, 33(9), 27-32.
  4. Den Hartog, J.P. (1947), Mechanical Vibrations, McGraw-Hill Inc., New York, State of New York, America.
  5. Djemal, F., Chaari, F., Dion, J.L. et al. (2015), "Performance of a nonlinear dynamic vibration absorbers", Mechanics, 31(3), 345-353.
  6. Eason, R.P. (2015), "Steady-state response attenuation of a linear oscillator nonlinear absorber system by using an adjustable-length pendulum in series: Numerical and experimental results", J. Sound Vib., 344, 332-344. https://doi.org/10.1016/j.jsv.2015.01.030
  7. Fallahpasand, S., Dardel, M., Pashaei, M.H. et al. (2015), "Investigation and optimization of nonlinear pendulum vibration absorber for horizontal vibration suppression of damped system", Struct. Des. Tall Spec. Build., 24(14), 873-893. https://doi.org/10.1002/tal.1216
  8. Gendelman, O.V., Sapsis, T., Vakakis, A.F. et al. (2011), "Enhanced passive targeted energy transfer in strongly nonlinear mechanical oscillators", J. Sound Vib., 330(1), 1-8. https://doi.org/10.1016/j.jsv.2010.08.014
  9. Habib, G., Detroux, T., Viguie, R. et al. (2015), "Nonlinear generalization of Den Hartog's equal-peak method", Mech. Syst. Signal Pr., 52, 17-28.
  10. Kareem, A. and Kline, S. (1995), "Performance of multiple mass dampers under random loading", J. Struct Eng., 121(2), 348-361. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:2(348)
  11. Kwok, K.C.S. and Samali, B. (1995), "Performance of tuned mass dampers under wind loads", Eng. Struct., 17(9), 655-667. https://doi.org/10.1016/0141-0296(95)00035-6
  12. Li, L. and Cui, P. (2017), "Novel design approach of a nonlinear tuned mass damper with duffing stiffness", J. Eng. Mech.- ASCE, 143(4), 1-8.
  13. Lin, J., Wu, X., Gong, J., Chen, A., Gao, J., Cui, X. and Chen, G. (2009), "Key technology for structural construction of Guangzhou New TV Tower", Build. Constr., 31(11), 935-937.
  14. Luo, J., Wierschem, N., Fahnestock, L. et al. (2014), "Realization of a strongly nonlinear vibration-mitigation device using elastomeric bumpers", Am. Soc. Civil Engineers, 140(5), 1-11. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000793
  15. Quinn, D.D., Hubbard, S., Wierschem, N. et al. (2012), "Equivalent modal damping, stiffening and energy exchanges in multi-degree-of-freedom systems with strongly nonlinear attachments", Proc. Inst. Mech. Eng., 226(2), 122-146.
  16. Tsai, H.C. and Lin, G.C. (1993), "Optimum tuned mass damper for minimizing steady-state response of support-excited and damped systems", Earthq. Eng. Struct. D., 22, 957-973. https://doi.org/10.1002/eqe.4290221104
  17. Wang, J., Wierschem, N., Liu, X.L. et al. (2015), "Experimental study of track nonlinear energy sinks for dynamic response reduction", Eng. Struct., 94, 9-15. https://doi.org/10.1016/j.engstruct.2015.03.007
  18. Wang, Q., Wang, J.G. and Zhang, M.X. (2009), "Numerical simulation of stochastic wind velocity field and wind vibration control of high-rise building structures", J. Architect. Civil Eng., 2, 32-37.
  19. Warburton, G.B. (1982), "Optimum absorber parameters for various combinations of response and excitation parameters", Earthq. Eng. Struct. D., 10, 381-401. https://doi.org/10.1002/eqe.4290100304
  20. Wu, J. and Chen, G.D. (2000), "Optimization of multiple tuned mass dampers for seismic response reduction", Proceeding of the American Control Conference, Chicago, America, June.
  21. Yao, J.T.P. (1972), "Concept of structural control", J. Struct. Div. - ASCE, 98, 1567-1574.
  22. Zuo, L. and Nayfeh, S. (2004), "Minimax optimization of multi-degree-freedom tuned-mass dampers", J. Sound Vib., 272(3), 893-908. https://doi.org/10.1016/S0022-460X(03)00500-5