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Optimal placement and tuning of multiple tuned mass dampers for suppressing multi-mode structural response

  • Warnitchai, Pennung (School of Civil Engineering, Asian Institute of Technology) ;
  • Hoang, Nam (Department of Civil Engineering, The University of Tokyo)
  • Received : 2004.03.27
  • Accepted : 2006.01.10
  • Published : 2006.01.25
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Abstract

The optimal design of multiple tuned mass dampers (multiple TMD's) to suppress multi-mode structural response of beams and floor structures was investigated. A new method using a numerical optimizer, which can effectively handle a large number of design variables, was employed to search for both optimal placement and tuning of TMD's for these structures under wide-band loading. The first design problem considered was vibration control of a simple beam using 10 TMD's. The results confirmed that for structures with widelyspaced natural frequencies, multiple TMD's can be adequately designed by treating each structural vibration mode as an equivalent SDOF system. Next, the control of a beam structure with two closely-spaced natural frequencies was investigated. The results showed that the most effective multiple TMD's have their natural frequencies distributed over a range covering the two controlled structural frequencies and have low damping ratios. Moreover, a single TMD can also be made effective in controlling two modes with closely spaced frequencies by a newly identified control mechanism, but the effectiveness can be greatly impaired when the loading position changes. Finally, a realistic problem of a large floor structure with 5 closely spaced frequencies was presented. The acceleration responses at 5 positions on the floor excited by 3 wide-band forces were simultaneously suppressed using 10 TMD's. The obtained multiple TMD's were shown to be very effective and robust.

Keywords

References

  1. Abe, M. and Igusa, T. (1995), 'Tuned mass dampers for structures with closely-spaced natural frequencies', Earthq. Eng. Struct. Dyn., 24, 247-261 https://doi.org/10.1002/eqe.4290240102
  2. Ayorinde, E.O. and Warburton, G.B. (1980), 'Minimizing structural vibrations with absorbers', Earthq. Eng. Struct. Dyn., 8, 219-236 https://doi.org/10.1002/eqe.4290080303
  3. Bartels, R. H. and Stewart, G. W. (1972), 'Solution of the matrix equation AX + XB=C', Communications of the ACM, 15(9), 820-826 https://doi.org/10.1145/361573.361582
  4. Bryson, A. E. Jr and Ho, Y. C. (1975), Applied Optimal Control, Hemisphere Publishing: Washington DC
  5. Den Hartog, J. P. (1956), Mechanical Vibrations, 4th Ed., McGraw-Hili, New York
  6. G+D Computing Pty Ltd. (2002), Using Strand7, Sydney
  7. Fujino, Y. and Abe, M. (1993), 'Design formulas for tuned mass dampers based on a perturbation technique', Earthq. Eng. Struct. Dyn., 22, 833-854 https://doi.org/10.1002/eqe.4290221002
  8. Igusa, T. and Xu, K. (1990), 'Wide-band response characteristics of multiple subsystems with high modal density', Proceedings of the 2nd International Conference on Stochastic Structural Dynamics, Florida, USA
  9. Hoang, N. and Wamitchai, P. (2005), 'Design of multiple tuned mass dampers by using a numerical optimizer', Earthq. Eng. Struct. Dyn., 34(2), 125-144 https://doi.org/10.1002/eqe.413
  10. Hurty, W. and Rubinstein, M. F. (1964), Dynamics of Structures, Prentice-Hall, Englewood Cliffs, NJ
  11. Rao, S. S. (1996), Engineering Optimization, 3rd Ed., John Wiley & Sons, New York
  12. Setareh, M. and Hanson, R. D. (1992), 'Tuned mass dampers to control floor vibration from humans', J. Struct. Eng., 118(3), 741-761 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:1(1)
  13. Warburton, G. B. and Ayorinde, E. O. (1980), 'Optimal absorber parameters for simple systems', Earthq. Eng. Struct. Dyn., 8, 197-217 https://doi.org/10.1002/eqe.4290080302
  14. Warburton, G. B. (1982), 'Optimal absorber parameters for various combinations of response and excitation parameters', Earthq. Eng. Struct. Dyn., 10, 381-401 https://doi.org/10.1002/eqe.4290100102

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