Wind and Structures

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Tuned mass dampers for torsionally coupled systems

  • Pansare, A.P. (Department of Civil Engineering, Indian Institute of Technology Bombay) ;
  • Jangid, R.S. (Department of Civil Engineering, Indian Institute of Technology Bombay)
  • Received : 2002.05.21
  • Accepted : 2002.05.02
  • Published : 2003.02.25
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Abstract

The steady state response of a torsionally coupled system with tuned mass dampers (TMDs) to external wind-induced harmonic excitation is presented. The torsionally coupled system is considered as one-way eccentric system. The eccentricity considered in the system is accidental eccentricity only. The performance of single tuned mass damper (TMD) optimally designed without considering the torsion is investigated for the torsionally coupled system and found that the effectiveness of a single TMD is significantly reduced due to torsion in the system. However, the design of TMD system without considering the torsion is only justified for torsionally stiff systems. Further, the optimum parameters of a single TMD considering the accidental eccentricity are obtained using numerical searching technique for different values of uncoupled torsional to lateral frequency ratio and aspect ratio of the system. The optimally designed single TMD system is found to be less effective for torsionally coupled system in comparison to uncoupled system. This is due to the fact that a torsionally coupled system has two natural frequencies of vibration, as a result, at least two TMDs are required which can control both lateral and torsional response of the system. The optimum damper parameters of different alternate arrangements such as (i) two identical TMDs placed at opposite corners, (ii) two independent TMDs and (iii) four TMDs are evaluated for minimum response of the system. The comparative performance of the above TMDs arrangements is also studied for both torsionally coupled and uncoupled systems. It is found that four TMDs arrangement is quite effective solution for vibration control of torsionally coupled system.

Keywords

References

  1. Abe, M. and Fujino, Y. (1994), "Dynamic characterization of multiple tuned mass dampers and some design formulae", Earthquake Eng. Struct. Dyn., 23, 813-835. https://doi.org/10.1002/eqe.4290230802
  2. Brock, J.E. (1946), "A note on the damped vibration absorber", J. Appl. Mech., ASME, A, 284.
  3. Den Hartog, J.P. (1956), Mechanical Vibrations, McGraw-Hill: 4th edition, NY.
  4. Fujino, Y. and Abe, M. (1993), "Design formulas for tuned mass dampers based on a perturbation technique", Earthquake Eng. Struct. Dyn., 22, 833-854. https://doi.org/10.1002/eqe.4290221002
  5. Fur, L.-S., Yang, H.T.Y. and Ankireddi, S. (1996), "Vibration control of tall buildings under seismic and wind loads", J. Struct. Eng., ASCE, 122, 948-957. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:8(948)
  6. Housner, G.W., Bergman, L.A., Caughey, T.K., Chassiakos, A.G., Claus, R.O., Masri, S.F., Skelton, R.E., Soong, T.T., Spencer, B.F. and Yao, J.T.P. (1997), "Structural control: Past, present, and future", J. Eng. Mech., ASCE, 123, 897-971. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  7. Iwanami, K. and Seto, K. (1984), "Optimum design of dual tuned mass dampers with their effectiveness", Proc. of JSME(C), 50, 44-52. https://doi.org/10.1299/kikaic.50.44
  8. Jangid, R.S. (1995), "Dynamic characteristics of structures with multiple tuned mass dampers", Struct. Eng. Mech., An Int. J., 3, 497-509. https://doi.org/10.12989/sem.1995.3.5.497
  9. Jangid, R.S. (1999), "Optimum multiple tuned mass dampers for base-excited undamped system", Earthquake Eng. Struct. Dyn., 28, 1041-1049. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<1041::AID-EQE853>3.0.CO;2-E
  10. Kwok, K.C.S. (1984), "Damping increase in building with tuned mass damper", J. Eng. Mech., ASCE, 110, 1645-1649. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:11(1645)
  11. Tsai, H.-C. and Lin, G.-C. (1994), "Explicit formulae for optimum absorber parameters for force-excited and viscously damped system", J. Sound Vib., 176, 585-596. https://doi.org/10.1006/jsvi.1994.1400
  12. Thompson, A.G. (1981), "Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system", J. Sound Vib., 77, 403-415. https://doi.org/10.1016/S0022-460X(81)80176-9
  13. Uniform Building Code, International Conference of Building Officials, Whittier, CA, 1997.
  14. Warburton, G.B. and Ayorinde, E.O. (1980), "Optimum absorber parameters for simple systems", Earthquake Eng. Structural Dyn., 8, 197-217. https://doi.org/10.1002/eqe.4290080302
  15. Warburton, G.B. (1982), "Optimum absorber parameters for various combinations of response and excitation parameters", Earthquake Eng. Struct. Dyn., 10, 381-401. https://doi.org/10.1002/eqe.4290100304
  16. Weisher, K.B. (1979), "Tuned mass dampers to reduce building wind motion", ASCE Convention and Exposition, Preprint 3510, ASCE New York.
  17. Xu, K. and Igusa, T. (1992), "Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthquake Eng. Struct. Dyn., 21, 1059-1070. https://doi.org/10.1002/eqe.4290211203
  18. Yamaguchi, H. and Harnpornchai, N. (1993), "Fundamental characteristics of multiple tuned mass dampers for suppressing harmonically forced oscillations", Earthquake Eng. Struct. Dyn., 22, 51-62. https://doi.org/10.1002/eqe.4290220105

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