Wind and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Optimization of multiple tuned mass dampers for large-span roof structures subjected to wind loads

  • Zhou, Xuanyi (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Lin, Yongjian (China Southern Airlines Company Limited Basic Construction Management Division) ;
  • Gu, Ming (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University)
  • Received : 2014.09.17
  • Accepted : 2015.01.12
  • Published : 2015.03.25
⟨ Previous Next ⟩

Abstract

For controlling the vibration of specific building structure with large span, a practical method for the design of MTMD was developed according to the characteristics of structures subjected to wind loads. Based on the model of analyzing wind-induced response of large-span structure with MTMD, the optimization method of multiple tuned mass dampers for large-span roof structures subjected to wind loads was established, in which the applicable requirements for strength and fatigue life of TMD spring were considered. According to the method, the controlled modes and placements of TMDs in MTMD were determined through the quantitative analysis on modal contribution to the wind-induced dynamic response of structure. To explore the characteristics of MTMD, the parametric analysis on the effects of mass ratio, damping ratio, central tuning frequency ratio and frequency range of MTMD, was performed in the study. Then the parameters of MTMD were optimized through genetic algorithm and the optimized MTMD showed good dynamic characteristics. The robustness of the optimized MTMD was also investigated.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation

References

  1. Abe, M. and Fujino, Y. (1994), "Dynamic characterization of multiple tuned mass dampers and some design formulas", Earthq. Eng. Struct. D., 23(8), 813-835. https://doi.org/10.1002/eqe.4290230802
  2. Abe, M. and Igusa, T. (1995), "Tuned mass dampers for structures with closely spaced natural frequencies", Earthq. Eng. Struct. D., 24(2), 247-261. https://doi.org/10.1002/eqe.4290240209
  3. Ahlawat, A.S. and Ramaswamy, A. (2003), "Multiobjective optimal absorber system for torsionally coupled seismically excited structures", Eng. Struct., 25(7), 941-950. https://doi.org/10.1016/S0141-0296(03)00038-5
  4. Avila, S.M. and Goncalves, P.B. (2009), "Optimal configurations of composite multiple mass dampers in tall buildings", J. Brazilian Soc. Mech. Sci. Eng., 31(1), 75-81.
  5. Beasley, D., Martin, R. and Bull, D.(1993), "An overview of genetic algorithms: Part 1. Fundamentals", University computing, 15, 58-58.
  6. Carneiro, R.B., Avila, S.M. and De Brito, J.L.V. (2008), "Parametric study on multiple tuned mass dampers using interconnected masses", Int. J. Struct. Stability Dynam., 8(1), 187-202. https://doi.org/10.1142/S0219455408002600
  7. Carpineto, N., Lacarbonara, W. and Vestroni, F. (2010), "Mitigation of pedestrian-induced vibrations in suspension footbridges via multiple tuned mass dampers", J. Vib. Control, 16(5), 749-776. https://doi.org/10.1177/1077546309350188
  8. Chang, C.C., Gu, M. and Tang, K.H. (2003), "Tuned mass dampers for dual-mode buffeting control of bridges", J. Bridge Eng., 8(4), 237-240. https://doi.org/10.1061/(ASCE)1084-0702(2003)8:4(237)
  9. Chen, S.R., Cai, C.S., Gu, M. and Changrn, C.C. (2003), "Optimal variables of TMDs for multi-mode buffeting control of long-span bridges", Wind Struct., 6(5), 387-402. https://doi.org/10.12989/was.2003.6.5.387
  10. Connor, J.J. (2003), Introduction to structural motion control, N.J., Prentice Hall Pearson Education, Inc..
  11. Daniel, Y., Lavan, O. and Levy, R. (2012), "Multiple-tuned mass dampers for multimodal control of pedestrian bridges", J. Struct. Eng. - ASCE , 138(9), 1173-1178. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000527
  12. Den Hartog, J.P. (1956), Mechanical vibrations, New York: McGraw-Hill.
  13. Desu, N.B, Deb, S.K. and Dutta, A. (2006), "Coupled tuned mass dampers for control of coupled vibrations in asymmetric buildings", Struct. Control Health Monit.,13(5), 897-916. https://doi.org/10.1002/stc.64
  14. GB/T 23935-2009 (2009a), Design of cylindrical helical springs General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, Standardization Administration of the People's Republic of China, SAC, , Standards press of China, Beijing.
  15. GB 50009-2012 (2012), Ministry of Construction of the People's Republic of China, General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, Load code for the design of building structures, China Building Industry Press, Beijing.
  16. Gu, M., Chen, S.R. and Chang, C.C. (2001), "Parametric study on multiple tuned mass dampers for buffeting control of Yangpu Bridge", J. Wind Eng. Ind. Aerod., 89(11-12), 987-1000. https://doi.org/10.1016/S0167-6105(01)00094-0
  17. Gu, M. and Xiang, H.F. (1992), "Optimization of TMD for suppressing buffeting response of long-span bridges", J. Wind Eng. Ind. Aerod., 42(1-3), 1383-1392. https://doi.org/10.1016/0167-6105(92)90146-2
  18. Hwang, J.S., Kim, H., Moon, D.H. and Park, H.G. (2011), "Control of floor vibration and noise using multiple tuned mass dampers", Noise Control Eng. J., 59(6), 652-659. https://doi.org/10.3397/1.3659708
  19. Jangid, R.S. and Datta, T.K. (1997), "Performance of Multiple Tuned Mass dampers for torsionally coupled system", Earthq. Eng. Struct. D., 26(3), 307-317. https://doi.org/10.1002/(SICI)1096-9845(199703)26:3<307::AID-EQE639>3.0.CO;2-8
  20. Kareem, A. and Kline, S. (1995), "Performance of multiple mass dampers under random loading", J. Struct. Eng. - ASCE, 121(2), 348-361. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:2(348)
  21. Kwon, S.D. and Park, K.S. (2004), "Suppression of bridge flutter using tuned mass dampers based on robust performance design", J. Wind Eng. Ind. Aerod., 92(11), 919-934. https://doi.org/10.1016/j.jweia.2004.05.006
  22. Lewandowski, R. and Grzymislawska, J. (2009), "Dynamic analysis of structures with multiple tuned mass dampers", J. Civil Eng. Management , 15(1), 77-86. https://doi.org/10.3846/1392-3730.2009.15.77-86
  23. Li, C.X. (2000), "Performance of multiple tuned mass dampers for attenuating undesirable oscillations of structures under the ground acceleration", Earthq. Eng. Struct. D., 29(9), 1405-1421. https://doi.org/10.1002/1096-9845(200009)29:9<1405::AID-EQE976>3.0.CO;2-4
  24. Li, C.X. and Liu, Y.X. (2002a), "Further characteristics for multiple tuned mass dampers", J. Struct. Eng. - ASCE, 128(10), 1362-1365. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:10(1362)
  25. Li, C.X. (2002b), "Optimum multiple tuned mass dampers for structures under the ground acceleration based on DDMF and ADMF", Earthq. Eng. Struct. D., 31(4), 897-919. https://doi.org/10.1002/eqe.128
  26. Li, C.X. and Zhu, B.L. (2006a), "Estimating double tuned mass dampers for structures under ground acceleration using a novel optimum criterion", J. Sound Vib., 298(1-2), 280-297. https://doi.org/10.1016/j.jsv.2006.05.018
  27. Li, C.X. and Qu, W.L. (2006b), "Optimum properties of multiple tuned mass dampers for reduction of translational and torsional response of structures subject to ground acceleration", Eng. Struct., 28(4), 472-494. https://doi.org/10.1016/j.engstruct.2005.09.003
  28. Li, Q.A., Fan, J.S., Nie, J.G., Li, Q.W. and Chen, Y. (2010), "Crowd-induced random vibration of footbridge and vibration control using multiple tuned mass dampers", J. Sound Vib., 329(19), 4068-4092. https://doi.org/10.1016/j.jsv.2010.04.013
  29. Lin, Y.J. (2013), Wind-induced vibration control of large span roof structure with MTMD, Master Dissertation, Tongji University, Shanghai.(written in Chinese)
  30. Moon, K.S.(2010), "Vertically distributed multiple tuned mass dampers in tall buildings: performance analysis and preliminary design", Struct. Des. Tall Spec., 19(3), 347-366.
  31. Mott, R.L.(2013), Machine elements in mechanical design (5th Edition). Publisher: Prentice Hall.
  32. Nguyen, T.H., Saidi, I., Gad, E.F., Wilson, J.L. and Haritos, N. (2012), "Performance of distributed multiple viscoelastic tuned mass dampers for floor vibration applications", Adv. Struct. Eng., 15(3), 547-562. https://doi.org/10.1260/1369-4332.15.3.547
  33. Park, J. and Reed, D.(2001), "Analysis of uniformly and linearly distributed mass dampers under harmonic and earthquake excitation", Eng. Struct., 23(7), 13.
  34. Patil, V.B. and Jangid, R.S. (2011), "Optimum Multiple Tuned Mass Dampers for the Wind Excited Benchmark Building", J. Civil Eng. Management, 17(4), 540-557. https://doi.org/10.3846/13923730.2011.619325
  35. Singh, M.P., Singh, S. and Moreschi, L.M. (2002), "Tuned mass dampers for response control of torsional buildings", Earthq. Eng. Struct. D., 31(4), 749-769. https://doi.org/10.1002/eqe.119
  36. Ubertini, F.( 2010), "Prevention of suspension bridge flutter using multiple tuned mass dampers", Wind Struct., 13(3), 235-256. https://doi.org/10.12989/was.2010.13.3.235
  37. Wang, J.F. and Lin, C.C. (2005), "Seismic performance of multiple tuned mass dampers for soil-irregular building interaction systems" , Int. J. Solids Struct., 42(20), 5536-5554. https://doi.org/10.1016/j.ijsolstr.2005.02.042
  38. Warburton, G.B. (1982), "Optimum absorber parameters for various combinations of response and excitation parameters", Earthq. Eng. Struct. D., 10, 381-402. https://doi.org/10.1002/eqe.4290100304
  39. Xu, K. and Igusa, T. (1992), "Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthq. Eng. Struct. D., 21, 1059-1070. https://doi.org/10.1002/eqe.4290211203
  40. Zheng, G., Ni, Y.Q., Li, H., et al. (2002), "Parameter optimization of multi-TMDs for wind-excited vibration suppression of tall buildings", Adv. Build. Technol., Vols I and Ii, Proceedings, 1025-1032.
  41. Zhou, X.Y. and Gu, M. (2010), "An approximation method for computing the dynamic responses and equivalent static wind loads of large-span roof structures", Int. J. Struct. Stability Dynam., 10(5), 1141-1165. https://doi.org/10.1142/S0219455410003944

Cited by

  1. Floor acceleration control of super-tall buildings with vibration reduction substructures vol.26, pp.16, 2017, https://doi.org/10.1002/tal.1343
  2. Parametric study of pendulum type dynamic vibration absorber for controlling vibration of a two DOF structure vol.13, pp.1, 2015, https://doi.org/10.12989/eas.2017.13.1.051
  3. Response surface methodology based multi-objective optimization of tuned mass damper for jacket supported offshore wind turbine vol.63, pp.3, 2015, https://doi.org/10.12989/sem.2017.63.3.303
  4. Analytical Method for Designing the Tuned Mass Damper Based on the Complex Stiffness Theory vol.43, pp.4, 2015, https://doi.org/10.1007/s40996-018-0222-0
  5. LMI based criterion for reinforced concrete frame structures vol.9, pp.4, 2020, https://doi.org/10.12989/acc.2020.9.4.407
  6. Advanced controller design for AUV based on adaptive dynamic programming vol.5, pp.3, 2015, https://doi.org/10.12989/acd.2020.5.3.233
  7. Parametric optimization of an inerter-based vibration absorber for wind-induced vibration mitigation of a tall building vol.31, pp.3, 2020, https://doi.org/10.12989/was.2020.31.3.241
  8. System simulation and synchronization for optimal evolutionary design of nonlinear controlled systems vol.26, pp.6, 2015, https://doi.org/10.12989/sss.2020.26.6.797
  9. Modified algorithmic LMI design with applications in aerospace vehicles vol.8, pp.1, 2015, https://doi.org/10.12989/aas.2021.8.1.069
  10. Optimized AI controller for reinforced concrete frame structures under earthquake excitation vol.11, pp.1, 2021, https://doi.org/10.12989/acc.2021.11.1.001
  11. Smart structural control and analysis for earthquake excited building with evolutionary design vol.79, pp.2, 2015, https://doi.org/10.12989/sem.2021.79.2.131
  12. Novel seismic-progressive collapse resilient super-tall building system vol.41, pp.None, 2021, https://doi.org/10.1016/j.jobe.2021.102790
  13. A Study on Nonlinear Dynamic Response of the Large-Span Roof Structure with Suspended Substructure vol.13, pp.12, 2021, https://doi.org/10.3390/sym13122397