Finding Optimum Parameters of Passive Tuned Mass Damper by PSO, WOA, and Hybrid PSO-WOA (HPW) Algorithms

Document Type : Regular Article

Authors

1 Assistant Professor, Department of Civil Engineering, K.N. Toosi University of Technology, Tehran, Iran

2 Ph.D. Candidate, Department of Civil Engineering, K.N. Toosi University of Technology, Tehran, Iran

3 Ph.D. Student, Department of Civil Engineering, K.N. Toosi University of Technology, Tehran, Iran

Abstract

Using a tuned mass damper (TMD) is one of the passive methods of controlling structural vibrations. This energy absorption system has a mass, a spring, and a damper attaching to the main structure and vibrating with it, reducing the dynamic response of the structure by preventing the intensification. Therefore, finding optimal parameters is one of the main essential issues in the study and design of tuned mass dampers. This study investigates the optimization of parameters of an adjusted mass damper to reduce the displacement and relative response of a multi-story structural system equipped with this damper. For this purpose, a 10-story frame with similar properties on each floor and a 10-story frame with different properties on each floor were modeled under seismic loading in OpenSees software. The optimum parameters were extracted by Matlab software, using the particle swarm optimization (PSO) algorithm, whale optimization algorithm (WOA), and the combination of these two algorithms (Hybrid PSO-WOA) and state space equations controlled the results. Comparing the results with the methods presented by other researchers showed that the proposed methods have good performance and are recommended as approximate and rapid methods for the optimal design of these dampers.

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[1]     Frahm H. Device for damping vibrations of bodies. 989,958, 1911.
[2]     Ormondroyd J. Theory of the dynamic vibration absorber. Trans ASME 1928;50:9–22.
[3]     Hartog DJP. Mechanical vibrations. McGraw-Hill Book Company; 1956.
[4]     Warburton GB, Ayorinde EO. Optimum absorber parameters for simple systems. Earthq Eng Struct Dyn 1980;8:197–217.
[5]     Warburton GB. Optimum absorber parameters for various combinations of response and excitation parameters. Earthq Eng Struct Dyn 1982;10:381–401.
[6]     Villaverde R, Koyama LA. Damped resonant appendages to increase inherent damping in buildings. Earthq Eng Struct Dyn 1993;22:491–507.
[7]     Mashayekhi M, Harati M, Estekanchi HE. Development of an alternative PSO-based algorithm for simulation of endurance time excitation functions. Eng Reports 2019:1–15. https://doi.org/10.1002/eng2.12048.
[8]     Ghasemof A, Mirtaheri M, Mohammadi RK, Mashayekhi MR. Multi-objective optimal design of steel MRF buildings based on life-cycle cost using a swift algorithm. Structures, vol. 34, Elsevier; 2021, p. 4041–59.
[9]     Mashayekhi M, Estekanchi HE, Vafai H. Optimal objective function for simulating endurance time excitations. Sci Iran 2020;27:1728–39. https://doi.org/10.24200/sci.2018.5388.1244.
[10]   Holland J. Adaptation in natural and artificial systems 1975.
[11]   Golberg DE. Genetic algorithms in search, optimization, and machine learning. Addion Wesley 1989;1989:36.
[12]   Kennedy J, Eberhart R. Particle swarm optimization. Proc. IEEE Int. Conf. Neural Netw. IV, 1942–1948., vol. 4, IEEE; 1995, p. 1942–8. https://doi.org/10.1109/ICNN.1995.488968.
[13]   Zong Woo Geem, Joong Hoon Kim, Loganathan GV. A New Heuristic Optimization Algorithm: Harmony Search. Simulation 2001;76:60–8. https://doi.org/10.1177/003754970107600201.
[14]   Kaveh A, Talatahari S. A novel heuristic optimization method: charged system search. Acta Mech 2010;213:267–89.
[15]   Babaei M, Taghaddosi N, Seraji N. Optimal Design of MR Dampers Using NSGA-II Algorithm. J Soft Comput Civ Eng 2023;7:72–92.
[16]   Ghiasi V, Alborzi Moghadam M, Koushki M. Optimization of Invasive Weed for Optimal Dimensions of Concrete Gravity Dams. J Soft Comput Civ Eng 2022;6:95–111. https://doi.org/10.22115/scce.2022.340697.1432.
[17]   Hadi MNS, Arfiadi Y. Optimum design of absorber for MDOF structures. J Struct Eng 1998;124:1272–80.
[18]   Lee C-L, Chen Y-T, Chung L-L, Wang Y-P. Optimal design theories and applications of tuned mass dampers. Eng Struct 2006;28:43–53.
[19]   Bekdaş G, Nigdeli SM. Estimating optimum parameters of tuned mass dampers using harmony search. Eng Struct 2011;33:2716–23.
[20]   Araz O, Elias S, Kablan F. Seismic-induced vibration control of a multi-story building with double tuned mass dampers considering soil-structure interaction. Soil Dyn Earthq Eng 2023;166:107765.
[21]   Chowdhury S, Banerjee A, Adhikari S. The optimal design of dynamic systems with negative stiffness inertial amplifier tuned mass dampers. Appl Math Model 2023;114:694–721.
[22]   Khatibinia M, Akbari S, Yazdani H, Gharehbaghi S. Damage-based optimal control of steel moment-resisting frames equipped with tuned mass dampers. J Vib Control 2023:10775463221149462.
[23]   Domizio M, Garrido H, Ambrosini D. Single and multiple TMD optimization to control seismic response of nonlinear structures. Eng Struct 2022;252:113667.
[24]   Chopra AK. Dynamics of structures: Theory and applications to earthquake engineering. 4 edition. Pearson; 1995.
[25]   Mirjalili S, Lewis A. The Whale Optimization Algorithm. Adv Eng Softw 2016;95:51–67. https://doi.org/10.1016/j.advengsoft.2016.01.008.
[26]   Kaveh A, Mohammadi S, Hosseini OK, Keyhani A, Kalatjari VR. Optimum parameters of tuned mass dampers for seismic applications using charged system search. Iran J Sci Technol Trans Civ Eng 2015;39:21.
[27]   FEMA P 695. Quantification of building seismic performance factors 2009.
[28]   Sadek F, Mohraz B, Taylor AW, Chung RM. A method of estimating the parameters of tuned mass dampers for seismic applications. Earthq Eng Struct Dyn 1997;26:617–35.