Smart Structures and Systems

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Designing fuzzy systems for optimal parameters of TMDs to reduce seismic response of tall buildings

  • Ramezani, Meysam (Ministry of Science, Research & Technology, Sadra Institute of Higher Education) ;
  • Bathaei, Akbar (School of Civil Engineering, College of Engineering, University of Tehran) ;
  • Zahrai, Seyed Mehdi (Center of excellence for Engineering and Management of civil Infrastructures, School of Civil Engineering, College of Engineering, The University of Tehran)
  • Received : 2016.02.24
  • Accepted : 2017.06.11
  • Published : 2017.07.25
⟨ Previous Next ⟩

Abstract

One of the most reliable and simplest tools for structural vibration control in civil engineering is Tuned Mass Damper, TMD. Provided that the frequency and damping parameters of these dampers are tuned appropriately, they can reduce the vibrations of the structure through their generated inertia forces, as they vibrate continuously. To achieve the optimal parameters of TMD, many different methods have been provided so far. In old approaches, some formulas have been offered based on simplifying models and their applied loadings while novel procedures need to model structures completely in order to obtain TMD parameters. In this paper, with regard to the nonlinear decision-making of fuzzy systems and their enough ability to cope with different unreliability, a method is proposed. Furthermore, by taking advantage of both old and new methods a fuzzy system is designed to be operational and reduce uncertainties related to models and applied loads. To design fuzzy system, it is required to gain data on structures and optimum parameters of TMDs corresponding to these structures. This information is obtained through modeling MDOF systems with various numbers of stories subjected to far and near field earthquakes. The design of the fuzzy systems is performed by three methods: look-up table, the data space grid-partitioning, and clustering. After that, rule weights of Mamdani fuzzy system using the look-up table are optimized through genetic algorithm and rule weights of Sugeno fuzzy system designed based on grid-partitioning methods and clustering data are optimized through ANFIS (Adaptive Neuro-Fuzzy Inference System). By comparing these methods, it is observed that the fuzzy system technique based on data clustering has an efficient function to predict the optimal parameters of TMDs. In this method, average of errors in estimating frequency and damping ratio is close to zero. Also, standard deviation of frequency errors and damping ratio errors decrease by 78% and 4.1% respectively in comparison with the look-up table method. While, this reductions compared to the grid partitioning method are 2.2% and 1.8% respectively. In this research, TMD parameters are estimated for a 15-degree of freedom structure based on designed fuzzy system and are compared to parameters obtained from the genetic algorithm and empirical relations. The progress up to 1.9% and 2% under far-field earthquakes and 0.4% and 2.2% under near-field earthquakes is obtained in decreasing respectively roof maximum displacement and its RMS ratio through fuzzy system method compared to those obtained by empirical relations.

Keywords

References

  1. Aly, A.M. (2014), "Proposed robust tuned mass damper for response mitigation in buildings exposed to multidirectional wind", Struct. Des. Tall Spec. Build., 23(9), 664-691. https://doi.org/10.1002/tal.1068
  2. Aly, A.M., Zasso, A. and Resta, F. (2011), "On the dynamics of a very slender building under winds: response reduction using MR dampers with lever mechanism", Struct. Des. Tall Spec. Build., 20(5) 539-551. https://doi.org/10.1002/tal.647
  3. Aly, A.M., Zasso, A. and Resta, F. (2012), "Proposed configurations for the use of smart dampers with bracings in tall buildings", Smart Mater. Res., 2012, 1-16.
  4. Bakre S.V. and Jangid R.S. (2007), "Optimal parameters of tuned mass damper for damped main system", Struct Control Health Monit, 14(3) 448-470. https://doi.org/10.1002/stc.166
  5. Bakre, S.V. and Jangid, R.S. (2004), "Optimum multiple tuned mass dampers for base-excited damped main system", Int. J. Struct. Stab. Dynam., 4(4), 527-542. https://doi.org/10.1142/S0219455404001367
  6. Bekdas, G. and Nigdeli, S.M. (2011), "Estimating optimum parameters of tuned mass dampers using harmony search", Eng. Struct., 33(9), 2716-2723. https://doi.org/10.1016/j.engstruct.2011.05.024
  7. Bishop, R.E.D. and Welboum, D.B. (1952), "The problem of the dynamic vibration absorber", Engineering (London), 174, 769.
  8. Brock, J.E. (1946), "A note on the damped vibration absorber", J. Appl. Mech.-ASCE, 13(4), A-284.
  9. Chang, C.C. (1999), "Mass dampers and their optimal designs for building vibration control", Eng Struct., 21(5), 454-463. https://doi.org/10.1016/S0141-0296(97)00213-7
  10. Den Hartog J.P. (1947), Mechanical vibrations, 3rd Ed., New York: McGraw-Hill.
  11. 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
  12. Falcon, K.C., Stone B.J., Simcock, W.D. and Andrew, C. (1967), "Optimization of vibration absorbers: A graphical method for use on idealized systems with restricted damping", J. Mech. Eng. Sci., 9(5), 374-381. https://doi.org/10.1243/JMES_JOUR_1967_009_058_02
  13. Frahm, H. (1911), Device for damping of bodies. US Patent No: 989,958.
  14. Guclu, R. and Yazici, H. (2008), "Vibration control of a structure with ATMD against earthquake using fuzzy logic controllers", J. Sound Vib., 318(1) 36-49. https://doi.org/10.1016/j.jsv.2008.03.058
  15. Hadi, M.N.S. and Arfiadi, Y. (1998), "Optimum design of absorber for MDOF structures", J Struct Eng-ASCE, 124(11), 1272-1280. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:11(1272)
  16. Hoang, N. and Warnitchai, P. (2005), "Design of multiple tuned mass dampers by using a numerical optimizer", Earthq. Eng. Struct. D., 34(2), 125-144. https://doi.org/10.1002/eqe.413
  17. Ioi, T. and Ikeda, K. (1978), "On the dynamic vibration damped absorber of the vibration system", Bull. Japanese Soc. Mech. Eng., 21(151), 64-71. https://doi.org/10.1299/jsme1958.21.64
  18. Kavand, A. and Zahrai, S.M. (2006), "Impact of seismic excitation characteristics on the efficiency of Tuned Liquid Column Dampers (TLCDs)", Earthq. Eng. Eng. Vib., 5(2) 235-243. https://doi.org/10.1007/s11803-006-0639-5
  19. Lee, C.L., Chen, Y.T., Chung, L.L. and Wang, Y.P. (2006), "Optimal design theories and applications of tuned mass dampers", Eng. Struct., 28(1), 43-53. https://doi.org/10.1016/j.engstruct.2005.06.023
  20. Leung, A.Y.T. and Zhang, H. (2009), "Particle swarm optimization of tuned mass dampers", Eng. Struct., 31(3), 715-728. https://doi.org/10.1016/j.engstruct.2008.11.017
  21. Li, C. and Qu, W. (2006), "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
  22. Ormondroyd, J. and Den Hartog J.P. (1928), "The theory of dynamic vibration absorber", Transaction of the ASME, 50, 9-22.
  23. Pourzeynali, S., Lavasani, H.H. and Modarayi, A.H. (2007), "Active control of high rise building structures using fuzzy logic and genetic algorithms", Eng. Struct., 29(3), 346-357. https://doi.org/10.1016/j.engstruct.2006.04.015
  24. Rana, R. and Soong, T.T. (1998), "Parametric study and simplified design of tuned mass dampers", Eng. Struct., 20(3), 193-204. https://doi.org/10.1016/S0141-0296(97)00078-3
  25. 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
  26. Snowdon, J.C. (1959), "Steady-state behavior of the dynamic absorber", J. Acoust. Soc. Am., 31(8), 1096-1103. https://doi.org/10.1121/1.1907832
  27. Taylor, D. (2010), "Smart buildings and viscous dampers a design engineer's perspective", Struct. Des. Tall Spec. Build., 19(4) 369-372. https://doi.org/10.1002/tal.621
  28. Warburton, G.B. (1982), "Optimum absorber parameters for various combinations of response and excitation parameters", Earthq. Eng. Struct. D., 10(3) 381-401. https://doi.org/10.1002/eqe.4290100304
  29. Warburton, G.B. and Ayorinde, E.O. (1980), "Optimum absorber parameters for simple systems", Earthq. Eng. Struct. D., 8(3), 197-217. https://doi.org/10.1002/eqe.4290080302
  30. Zahrai, S.M. and Kavand, A. (2008), "Strong ground motion effects on seismic response reduction by TLCDs", Scientia Iranica., 15(3), 275-285.

Cited by

  1. On nonlinear perturbation analysis of a structure carrying a circular cylindrical liquid tank under horizontal excitation vol.25, pp.5, 2017, https://doi.org/10.1177/1077546318810072