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Metaheuristic Based Optimization for Tuned Mass Dampers Using Frequency Domain Responses

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Abstract

The usage of tuned mass dampers is a practical technique for civil structures under undesired vibrations. Since earthquake or other excitations have random vibration with various frequencies, frequency domain responses of structures can be used in tuning of mass dampers. By the minimization of transfer function of the structure, the amplitude corresponding to the response frequency of the structure is minimized. Thus, the passive control of the structure is provided. The optimization problem is non-linear since the existence of inherent damping of the structure, possible solution range of tuned mass damper (TMD) and multiple modes of multiple degree of freedom structures. For that reason, three metaheuristic algorithms such as harmony search, flower pollination algorithm and teaching learning based optimization are compared in mean of performance and computation effort. All algorithms are feasible with significant possible advantages.

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References

  1. Frahm, H.: Device for damping of bodies. U.S. Patent No: 989,958 (1911)

    Google Scholar 

  2. Ormondroyd, J., Den Hartog, J.P.: The theory of dynamic vibration absorber. T. ASME 50, 9–22 (1928)

    Google Scholar 

  3. Soto, M.G., Adeli, H.: Tuned mass dampers. Arch. Comput. Methods Eng. 20(4), 419–431 (2013)

    Article  Google Scholar 

  4. Den Hartog, J.P.: Mechanical Vibrations, 3rd edn. Mc Graw-Hill, New York (1947)

    MATH  Google Scholar 

  5. Warburton, G.B.: Optimum absorber parameters for various combinations of response and excitation parameters. Earthq. Eng. Struct. Dyn. 10, 381–401 (1982)

    Article  Google Scholar 

  6. Sadek, F., Mohraz, B., Taylor, A.W., Chung, R.M.: A method of estimating the parameters of tuned mass dampers for seismic applications. Earthq. Eng. Struct. D. 26, 617–635 (1997)

    Article  Google Scholar 

  7. Chang, C.C.: Mass dampers and their optimal designs for building vibration control. Eng. Struct. 21, 454–463 (1999)

    Article  Google Scholar 

  8. Leung, A.Y.T., Zhang, H.: Particle swarm optimization of tuned mass dampers. Eng. Struct. 31, 715–728 (2009)

    Article  Google Scholar 

  9. Leung, A.Y.T., Zhang, H., Cheng, C.C., Lee, Y.Y.: Particle swarm optimization of TMD by non-stationary base excitation during earthquake. Earthq. Eng. Struct. Dyn. 37, 1223–1246 (2008)

    Article  Google Scholar 

  10. Hadi, M.N.S., Arfiadi, Y.: Optimum design of absorber for MDOF structures. J. Struct. Eng.-ASCE 124, 1272–1280 (1998)

    Article  Google Scholar 

  11. Marano, G.C., Greco, R., Chiaia, B.: A comparison between different optimization criteria for tuned mass dampers design. J. Sound Vib. 329, 4880–4890 (2010)

    Article  Google Scholar 

  12. Singh, M.P., Singh, S., Moreschi, L.M.: Tuned mass dampers for response control of torsional buildings. Earthq. Eng. Struct. Dyn. 31, 749–769 (2002)

    Article  Google Scholar 

  13. Desu, N.B., Deb, S.K., Dutta, A.: Coupled tuned mass dampers for control of coupled vibrations in asymmetric buildings. Struct. Control Health monit. 13, 897–916 (2006)

    Article  Google Scholar 

  14. Pourzeynali, S., Lavasani, H.H., Modarayi, A.H.: Active control of high rise building structures using fuzzy logic and genetic algorithms. Eng. Struct. 29, 346–357 (2007)

    Article  Google Scholar 

  15. Steinbuch, R.: Bionic optimisation of the earthquake resistance of high buildings by tuned mass dampers. J. Bionic Eng. 8, 335–344 (2011)

    Article  Google Scholar 

  16. Bekdaş, G., Nigdeli, S.M.: Estimating optimum parameters of tuned mass dampers using harmony search. Eng. Struct. 33, 2716–2723 (2011)

    Article  Google Scholar 

  17. Bekdaş, G., Nigdeli, S.M.: Optimization of tuned mass damper with harmony search. In: Gandomi, A.H., Yang, X.-S., Alavi, A.H., Talatahari, S. (eds.) Metaheuristic Applications in Structures and Infrastructures. Elsevier, Amsterdam (2013)

    Google Scholar 

  18. Bekdaş, G., Nigdeli, S.M.: Mass ratio factor for optimum tuned mass damper strategies. Int. J. Mech. Sci. 71, 68–84 (2013)

    Article  Google Scholar 

  19. Nigdeli, S.M., Bekdaş, G.: Optimum tuned mass damper design for preventing brittle fracture of RC buildings. Smart Struct. Syst. 12(2), 137–155 (2013)

    Article  Google Scholar 

  20. Nigdeli, S.M., Bekdaş, G.: Optimization of TMDs for different objectives. In: An International Conference on Engineering and Applied Sciences Optimization, Kos Island, Greece, 4–6 June 2014

    Google Scholar 

  21. Farshidianfar, A., Soheili, S.: Ant colony optimization of tuned mass dampers for earthquake oscillations of high-rise structures including soil-structure interaction. Soil Dyn. Earthq. Eng. 51, 14–22 (2013)

    Article  Google Scholar 

  22. Farshidianfar, A., Soheili, S.: ABC optimization of TMD parameters for tall buildings with soil structure interaction. Interact. Multiscale Mech. 6, 339–356 (2013)

    Article  Google Scholar 

  23. Farshidianfar, A., Soheili, S.: Optimization of TMD parameters for earthquake vibrations of tall buildings including soil structure interaction. Int. J. Optim. Civ. Eng. 3, 409–429 (2013)

    Google Scholar 

  24. Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)

    Article  Google Scholar 

  25. Yang, X.-S.: Flower pollination algorithm for global optimization. In: Durand-Lose, J., Jonoska, N. (eds.) UCNC 2012. LNCS, vol. 7445, pp. 240–249. Springer, Heidelberg (2012). doi:10.1007/978-3-642-32894-7_27

    Chapter  Google Scholar 

  26. Rao, R.V., Savsani, V.J., Vakharia, D.P.: Teaching-learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput. Aided Des. 43(3), 303–315 (2011)

    Article  Google Scholar 

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Correspondence to Gebrail Bekdaş .

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Bekdaş, G., Nigdeli, S.M., Yang, XS. (2017). Metaheuristic Based Optimization for Tuned Mass Dampers Using Frequency Domain Responses. In: Del Ser, J. (eds) Harmony Search Algorithm. ICHSA 2017. Advances in Intelligent Systems and Computing, vol 514. Springer, Singapore. https://doi.org/10.1007/978-981-10-3728-3_27

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  • DOI: https://doi.org/10.1007/978-981-10-3728-3_27

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