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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Frahm, H.: Device for damping of bodies. U.S. Patent No: 989,958 (1911)
Ormondroyd, J., Den Hartog, J.P.: The theory of dynamic vibration absorber. T. ASME 50, 9–22 (1928)
Soto, M.G., Adeli, H.: Tuned mass dampers. Arch. Comput. Methods Eng. 20(4), 419–431 (2013)
Den Hartog, J.P.: Mechanical Vibrations, 3rd edn. Mc Graw-Hill, New York (1947)
Warburton, G.B.: Optimum absorber parameters for various combinations of response and excitation parameters. Earthq. Eng. Struct. Dyn. 10, 381–401 (1982)
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)
Chang, C.C.: Mass dampers and their optimal designs for building vibration control. Eng. Struct. 21, 454–463 (1999)
Leung, A.Y.T., Zhang, H.: Particle swarm optimization of tuned mass dampers. Eng. Struct. 31, 715–728 (2009)
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)
Hadi, M.N.S., Arfiadi, Y.: Optimum design of absorber for MDOF structures. J. Struct. Eng.-ASCE 124, 1272–1280 (1998)
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)
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)
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)
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)
Steinbuch, R.: Bionic optimisation of the earthquake resistance of high buildings by tuned mass dampers. J. Bionic Eng. 8, 335–344 (2011)
Bekdaş, G., Nigdeli, S.M.: Estimating optimum parameters of tuned mass dampers using harmony search. Eng. Struct. 33, 2716–2723 (2011)
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)
Bekdaş, G., Nigdeli, S.M.: Mass ratio factor for optimum tuned mass damper strategies. Int. J. Mech. Sci. 71, 68–84 (2013)
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)
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
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)
Farshidianfar, A., Soheili, S.: ABC optimization of TMD parameters for tall buildings with soil structure interaction. Interact. Multiscale Mech. 6, 339–356 (2013)
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)
Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)
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
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-981-10-3728-3_27
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-3727-6
Online ISBN: 978-981-10-3728-3
eBook Packages: EngineeringEngineering (R0)