Abstract
In this chapter, an optimization methodology for tuning of tuned mass dampers (TMDs) on seismic structures was presented for two different objectives such as reducing the displacement of first story and absolute acceleration of top story of the structure. A metaheuristic method; harmony search (HS) was employed for optimization according to the time history analyses of structure under several earthquake excitations. Harmony search inspires musical performances in order to find optimum design variables according to optimization objective. Step by step, the methodology of the optimization process is explained in the chapter. The method was applied to find an optimum TMD for a seven story shear building and the optimum results were compared for the two cases considering displacement objective and acceleration objective. According to the results, optimum TMDs for both objectives are effective on both displacements and accelerations. But for acceleration objective, a small benefit for accelerations can be seen although the optimum mass of TMD is very heavy according to displacement objective.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Frahm H (1911) Device for damping of bodies. U.S. Patent No: 989,958
Ormondroyd J, Den Hartog JP (1928) The theory of dynamic vibration absorber. T. ASME 50:9–22
Miyamoto HK, Gilani ASJ, Gündoğdu YZG (2011) Innovative seismic retrofit of an iconic building with mass damper. Seventh national conference on earthquake engineering, Istanbul, Turkey, 30 May–3 June
Den Hartog JP (1947) Mechanical vibrations. McGraw-Hill, New York
Warburton GB (1982) Optimum absorber parameters for various combinations of response and excitation parameters. Earthq Eng Struct Dyn 10:381–401
Sadek F, Mohraz B, Taylor AW, Chung RM (1997) A method of estimating the parameters of tuned mass dampers for seismic applications. Earthq Eng Struct Dyn 26:617–635
Chang CC (1999) Mass dampers and their optimal designs for building vibration control. Eng Struct 21:454–463
Leung AYT, Zhang H (2009) Particle swarm optimization of tuned mass dampers. Eng Struct 31:715–728
Leung AYT, Zhang H, Cheng CC, Lee YY (2008) Particle swarm optimization of TMD by non-stationary base excitation during earthquake. Earthq Eng Struct Dyn 37:1223–1246
Hadi MNS, Arfiadi Y (1998) Optimum design of absorber for MDOF structures. J Struct Eng ASCE 124:1272–1280
Marano GC, Greco R, Chiaia B (2010) A comparison between different optimization criteria for tuned mass dampers design. J Sound Vib 329:4880–4890
Singh MP, Singh S, Moreschi LM (2002) Tuned mass dampers for response control of torsional buildings. Earthq Eng Struct Dyn 31:749–769
Desu NB, Deb SK, Dutta A (2006) Coupled tuned mass dampers for control of coupled vibrations in asymmetric buildings. Struct Control Health Monit 13:897–916
Pourzeynali S, Lavasani HH, Modarayi AH (2007) Active control of high rise building structures using fuzzy logic and genetic algorithms. Eng Struct 29:346–357
Steinbuch R (2011) Bionic optimisation of the earthquake resistance of high buildings by tuned mass dampers. J Bionic Eng 8:335–344
Bekdaş G, Nigdeli SM (2011) Estimating optimum parameters of tuned mass dampers using harmony search. Eng Struct 33:2716–2723
Bekdaş G, Nigdeli SM (2013) Optimization of tuned mass damper with harmony search. In: Gandomi AH, Yang X-S, Alavi AH, Talatahari S (eds) Metaheuristic applications in structures and infrastructures. Elsevier, Chapter 14
Bekdaş G, Nigdeli SM (2013) Mass ratio factor for optimum tuned mass damper strategies. Int J Mech Sci 71:68–84
Nigdeli SM, Bekdaş G (2013) Optimum tuned mass damper design for preventing brittle fracture of RC buildings. Smart Struct Syst 12(2):137–155
Nigdeli SM and Bekdaş G (2014) Optimization of TMDs for different objectives. In: An international conference on engineering and applied sciences optimization, Kos Island, Greece, 4–6 June
Farshidianfar A, Soheili S (2013) 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
Farshidianfar A, Soheili S (2013) ABC optimization of TMD parameters for tall buildings with soil structure interaction. Interact Multiscale Mech 6:339–356
Farshidianfar A, Soheili S (2013) Optimization of TMD parameters for earthquake vibrations of tall buildings including soil structure interaction. Int J Optim Civil Eng 3:409–429
Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks. Perth, Nov 27–Dec 1, pp 1942–1948
Holland JH (1975) Adaptat Nat Artif Syst. University of Michigan Press, Ann Arbor MI
Goldberg DE (1989) Genetic algorithms in search. Optimization and machine learning, Addison Wesley, Boston
Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76:60–68
Dorigo M, Maniezzo V, Colorni A (1996) The ant system: optimization by a colony of cooperating agents. IEEE Trans Syst Man Cybernet B 26:29–41
Lee KS, Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput Methods Appl Mech Eng 194:3902–3933
Lee KS, Geem ZW, Lee SH, Bae KW (2005) The harmony search heuristic algorithm for discrete structural optimization. Eng Optim 37:663–684
Geem ZW (2008) Novel derivative of harmony search algorithm for discrete design variables. Appl Math Comput 199:223–230
Yang X-S (2008) Nature-inspired metaheuristic algorithms. Luniver Press, Bristol
The MathWorks Inc (2010) MATLAB R2010a. Natick, MA, USA
Peer (2005) Pacific earthquake engineering resource center: NGA database. University of California, Berkeley. http://peer.berkeley.edu/nga
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Nigdeli, S.M., Bekdaş, G. (2015). Design of Tuned Mass Dampers via Harmony Search for Different Optimization Objectives of Structures. In: Lagaros, N., Papadrakakis, M. (eds) Engineering and Applied Sciences Optimization. Computational Methods in Applied Sciences, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-319-18320-6_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-18320-6_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18319-0
Online ISBN: 978-3-319-18320-6
eBook Packages: EngineeringEngineering (R0)