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DOI QR Code

Performance of double-tuned mass dampers in controlling structural vibrations

  • Mohammed, Fasil (Civil and Environmental Engineering Department, King Fahd University of Petroleum and Minerals) ;
  • R., Sajeeb (Department of Civil Engineering, TKM College of Engineering) ;
  • Nizar A., Assi (Department of Civil and Environmental Engineering, Birzeit University) ;
  • Muhammad K., Rahman (Interdisciplinary Research Center for Construction and Building Materials, KFUPM)
  • 투고 : 2021.12.16
  • 심사 : 2022.12.16
  • 발행 : 2023.01.25

초록

Structural vibrations generated by earthquakes and wind loads can be controlled by varying the structural parameters such as mass, stiffness, damping ratio, and geometry and providing a certain amount of passive or active reaction forces. A Double-Tuned Mass Dampers (DTMDs) system, which is simple and more effective than the conventional single tuned mass damper (TMD) system for vibration mitigation is presented. Two TMDs tuned to the first two natural frequencies were used to control vibrations. Experimental investigations were carried out on a three degrees-of-freedom frame model to investigate the effectiveness of DTMDs systems in controlling displacements, accelerations, and base shear. Numerical models were developed and validated against the experimental results. The validation showed a good match between the experimental and numerical results. The validated model was employed to investigate the behavior of a five degrees-of-freedom shear building structure, wherein mass dampers with different mass ratios were considered. The effectiveness of the DTMDs system was investigated for harmonic, seismic, and white noise base excitations. The proposed system was capable of significantly reducing the story displacements, accelerations, and base shears at the first and second natural frequencies, as compared to conventional single TMD.

키워드

과제정보

The authors would like to express their gratitude and appreciation to the Civil and Environmental Engineering Department at KFUPM, the Department of Civil Engineering at TKM College of Engineering, and the Department of Civil and Environmental Engineering at Birzeit University.

참고문헌

  1. Brownjohn, J.M.W., Carden, E.P., Goddard, C.R. and Oudin, G. (2010), "Real-time performance monitoring of tuned mass damper system for a 183m reinforced concrete chimney", J. Wind Eng. Ind. Aerodyn., 98(3), 169-179. https://doi.org/10.1016/j.jweia.2009.10.013.
  2. Chen, D., Huang, S., Huang, C., Liu, R. and Ouyang, F. (2021), "Passive control of jacket-type offshore wind turbine vibrations by single and multiple tuned mass dampers", Mar. Struct., 77, 102938. https://doi.org/10.1016/j.marstruc.2021.102938.
  3. Chen, G. and Wu, J. (2001), "Optimal placement of multiple tune mass dampers for seismic structures", J. Struct. Eng., 127(9), 1054-1062. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:9(1054).
  4. Chey, M.H. and Kim, J.U. (2012), "Parametric control of structural responses using an optimal passive tuned mass damper under stationary Gaussian white noise excitations", Front. Struct. Civil Eng., 6(3), 267-280. https://doi.org/10.1007/s11709-012-0170-x.
  5. Chopra, A.K. (1995), Dynamics of Structures Theory and Applications to Earthquake Engineering, 1st Edition, Prentice-Hall International, Englewood Cliffs, New Jersey, NJ, USA.
  6. Connor, J. (2002), Introduction to Structural Motion Control, 1st Edition, Prentice Hall, Upper Saddle River, NJ, USA.
  7. Earthquakes (2021), Western Pacific Health Topics, World Health Organization (WHO). www.who.int/westernpacific/health-topics/earthquakes.
  8. Elias, S., Matsagar, V. and Datta, T.K. (2016), "Effectiveness of distributed tuned mass dampers for multi-mode control of chimney under earthquakes", Eng. Struct., 124, 1-16. https://doi.org/10.1016/j.engstruct.2016.06.006.
  9. Frahm, H. (1909), "Device for damping vibrations of bodies", U.S. Patent US989958A.
  10. 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., 123(9), 897-971. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897).
  11. Hussan, M., Rahman, M.S., Sharmin, F., Kim, D. and Do, J. (2018), "Multiple tuned mass damper for multi-mode vibration reduction of offshore wind turbine under seismic excitation", Ocean Eng., 160, 449-460. https://doi.org/10.1016/j.oceaneng.2018.04.041.
  12. Iwanami, K. and Seto, K. (1984), "Optimum design of dual tuned mass dampers and their effectiveness", JPN Soc. Mech. Eng., 50(1), 44-52.
  13. Kang, Y., Peng, L., Pan, P., Xiao, G. and Wang, H. (2021), "Shaking table test and numerical analysis of a coal-fired power plant equipped with large mass ratio multiple tuned mass damper (LMTMD)", J. Build. Eng., 43, 102852. https://doi.org/10.1016/j.jobe.2021.102852.
  14. 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).
  15. Kim, S.Y. and Lee, C.H. (2018), "Optimum design of linear multiple tuned mass dampers subjected to white-noise base acceleration considering practical configurations", Eng. Struct., 171, 516-528. https://doi.org/10.1016/j.engstruct.2018.06.002.
  16. Kim, S.Y. and Lee, C.H. (2020), "Analysis and optimization of multiple tuned mass dampers with coulomb dry friction", Eng. Struct., 209, 110011. https://doi.org/10.1016/j.engstruct.2019.110011.
  17. Lin, G.L., Lin, C.C., Li, Y.H. and Lin, T.T. (2022), "Theoretical and experimental analysis of an electromagnetic seismic isolation system", Eng. Struct., 250, 113411. https://doi.org/10.1016/j.engstruct.2021.113411.
  18. Lourenco, R. (2011), "Design, construction and testing of an adaptive pendulum tuned mass damper", M.Sc. Thesis, University of Waterloo, Ontario.
  19. Nagarajaiah, S. and Sonmez, E. (2007), "Structures with semiactive variable stiffness single/multiple tuned mass dampers", J. Struct. Eng., 133(1), 67-77. https://doi.org/10.1061/(asce)0733-9445(2007)133:1(67).
  20. Pardalopoulos, S.I. and Manolis, G.D. (2021), "An engineering approach for evaluating the dynamic response of acceleration-sensitive secondary systems in flexible structures", Earthq. Eng. Struct. Dyn., 50(7), 1989-2009. https://doi.org/10.1002/eqe.3438.
  21. Petrini, F., Giaralis, A. and Wang, Z. (2020), "Optimal tuned mass-damper-inerter (TMDI) design in wind-excited tall buildings for occupants' comfort serviceability performance and energy harvesting", Eng. Struct., 204, 109904. https://doi.org/10.1016/j.engstruct.2019.109904.
  22. Rakicevic, Z.T., Bogdanovic, A., Jurukovski, D. and Nawrotzki, P. (2012), "Effectiveness of tune mass damper in the reduction of the seismic response of the structure", Bull. Earthq. Eng., 10(3), 1049-1073. https://doi.org/10.1007/s10518-012-9341-3.
  23. Setareh, M., Ritchey, J.K., Baxter, A.J. and Murray, T.M. (2006), "Pendulum tuned mass dampers for floor vibration control", J. Perform. Constr. Facil., 20(1), 64-73. https://doi.org/10.1061/(ASCE)0887-3828(2006)20:1(64).
  24. Takewaki, I. (2013), Critical Excitation Methods in Earthquake Engineering, 2nd Edition, Butterworth-Heinemann, Oxford, England.
  25. Tedesco, J.W., McDougal, W.G. and Allen, R.C. (1999), Structural Dynamics: Theory and Applications, 1st Edition, Addison Wesley Longman, Menlo Park, California, USA.
  26. Vakakis, A.F. and Paipetis, S.A. (1986), "The effect of a viscously damped dynamic absorber on a linear multi-degree-of-freedom system", J. Sound Vib., 105(1), 49-60. https://doi.org/10.1016/0022-460X(86)90219-1.
  27. Warburton, G.B. (1982), "Optimum absorber parameters for various combinations of response and excitation parameters", Earthq. Eng. Struct. Dyn., 10(3), 381-401. https://doi.org/10.1002/EQE.4290100304.
  28. Weather-related disasters increase over past 50 years, causing more damage but fewer deaths (2021), ReliefWeb, New York City, USA. https://reliefweb.int/report/world/weather-related-disasters-increase-over-past-50-years-causing-more-damage-fewer-deaths.
  29. Wong, K.K. and Johnson, J. (2009), "Seismic energy dissipation of inelastic structures with multiple tuned mass dampers", J. Eng. Mech., 135(4), 265-275. https://doi.org/10.1061/(asce)0733-9399(2009)135:4(265).
  30. Zheng, L. and Zhang, X. (2017), Modeling and Analysis of Modern Fluid Problems, Academic Press.
  31. Zucca, M., Longarini, N., Simoncelli, M. and Aly, A.M. (2021), "Tuned mass damper design for slender masonry structures: A framework for linear and nonlinear analysis", Appl. Sci., 11(8), 3425. https://doi.org/10.3390/app11083425.