Optimization of TMD Parameters in Frequency Domain Including SSI Effect by Means of Recent Metaheuristic Algorithms
Publication: Practice Periodical on Structural Design and Construction
Volume 27, Issue 3
Abstract
This study presents the application of three recent metaheuristic optimization algorithms to design the tuned mass damper (TMD) for a high-rise building structure, taking into account the effect of soil–structure interaction (SSI) in the frequency domain. The algorithms used in this study were grey wolf optimizer (GWO), moth–flame optimization (MFO), and whale optimization algorithm (WOA), and the obtained results were compared with the well-known particle swarm optimization (PSO) and genetic algorithm (GA). The TMD optimization problem was formulated with two objective functions: the and the norms of the top floor displacement. The frequency, the mass, and the damping ratio of the TMD were optimized within defined bounds for a 40-story benchmark structure. Unlike in previous research, the optimization in this study was performed for different mass ratios. First, the efficiency of the obtained optimum parameters was plotted in the frequency domain and then tested in the time domain by presenting the top floor displacement of the same benchmark structure. The time domain analysis was carried out using the El Centro and Petrolia earthquakes as external disturbances. It was found that the optimal TMD parameters are affected by the soil type. The GWO algorithm reached the optimal solutions faster and more efficiently than the other algorithms. GA limitations were pointed out.
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Data Availability Statement
On reasonable request, the authors will provide any or all of the data or code that support the conclusions of this study.
References
Abderazek, H., A. R. Yildiz, and S. Mirjalili. 2020. “Comparison of recent optimization algorithms for design optimization of a cam-follower mechanism.” Knowl.-Based Syst. 191 (Sep): 105237. https://doi.org/10.1016/j.knosys.2019.105237.
Bekdas, G., and S. M. Nigdeli. 2013. “Optimization of tuned mass damper with harmony search.” Metaheuristic Appl. Struct. Infrastruct. 2013 (Jan): 345–371. https://doi.org/10.1016/B978-0-12-398364-0.00014-0.
Bekdaş, G., A. E. Kayabekir, S. M. Nigdeli, and Y. C. Toklu. 2019. “Tranfer function amplitude minimization for structures with tuned mass dampers considering soil-structure interaction.” Soil Dyn. Earthquake Eng. 116 (Jan): 552–562. https://doi.org/10.1016/j.soildyn.2018.10.035.
Bekdaş, G., and S. M. Nigdeli. 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.
Bekdaş, G., S. M. Nigdeli, and X.-S. Yang. 2017. “Metaheuristic based optimization for tuned mass dampers using frequency domain responses.” In Proc., Int. Conf. on Harmony Search Algorithm, 271–279. Berlin: Springer.
Bekdaş, G., S. M. Nigdeli, and X.-S. Yang. 2018. “A novel bat algorithm based optimum tuning of mass dampers for improving the seismic safety of structures.” Eng. Struct. 159 (Mar): 89–98. https://doi.org/10.1016/j.engstruct.2017.12.037.
Den Hartog, J. P. 1956. Mechanical vibrations. 4th ed. New York: McGraw-Hill.
Etedali, S., and M. Shahi. 2021. “A control scheme for AMD in the presence of time-delays and SSI effects for tall buildings.” Struct. Eng. Mech. 79 (2): 267–278. https://doi.org/10.12989/sem.2021.79.2.267.
Farshidianfar, A., and S. Soheili. 2013. “Ant colony optimization of tuned mass dampers for earthquake oscillations of high-rise structures including soil–structure interaction.” Soil Dyn. Earthquake Eng. 51 (3): 14–22. https://doi.org/10.1016/j.soildyn.2013.04.002.
Gholizadeh, S., and M. Ebadijalal. 2018. “Performance based discrete topology optimization of steel braced frames by a new metaheuristic.” Adv. Eng. Software 123 (Sep): 77–92. https://doi.org/10.1016/j.advengsoft.2018.06.002.
Hadi, M. N., and Y. Arfiadi. 1998. “Optimum design of absorber for MDOF structures.” J. Struct. Eng. 124 (11): 1272–1280. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:11(1272).
Jia, F., and L. Jianwen. 2019. “Performance degradation of tuned-mass-dampers arising from ignoring soil-structure interaction effects.” Soil Dyn. Earthquake Eng. 125 (4): 105701. https://doi.org/10.1016/j.soildyn.2019.05.040.
Jiang, T., C. Zhang, H. Zhu, J. Gu, and G. Deng. 2018. “Energy-efficient scheduling for a job shop using an improved whale optimization algorithm.” Mathematics 6 (11): 220. https://doi.org/10.3390/math6110220.
Kamgar, R., P. Samea, and M. Khatibinia. 2018. “Optimizing parameters of tuned mass damper subjected to critical earthquake.” Struct. Des. Tall Spec. Build. 27 (7): e1460. https://doi.org/10.1002/tal.1460.
Kaveh, A., and S. R. Ardebili. 2021. “A comparative study of the optimum tuned mass damper for high-rise structures considering soil-structure interaction.” Period Polytech-Civ. 65 (4): 1036–1049. https://doi.org/10.3311/PPci.18386.
Kaveh, A., M. Ghafari, and Y. Gholipour. 2017. “Optimal seismic design of 3D steel moment frames: Different ductility types.” Struct. Multidiscip. Optim. 56 (6): 1353–1368. https://doi.org/10.1007/s00158-017-1727-z.
Leung, A. Y. T., and H. Zhang. 2009. “Particle swarm optimization of tuned mass dampers.” Eng. Struct. 31 (3): 715–728. https://doi.org/10.1016/j.engstruct.2008.11.017.
Leung, A. Y. T., H. Zhang, C. C. Cheng, and Y. Y. Lee. 2008. “Particle swarm optimization of TMD by non-stationary base excitation during earthquake.” Earthquake Eng. Struct. Dyn. 37 (9): 1223–1246. https://doi.org/10.1002/eqe.811.
Li, C., and Y. Liu. 2004. “Ground motion dominant frequency effect on the design of multiple tuned mass dampers.” J. Earthquake Eng. 8 (1): 89–105. https://doi.org/10.1080/13632460409350482.
Liu, M.-Y., W.-L. Chiang, J.-H. Hwang, and C.-R. Chu. 2008. “Wind-induced vibration of high-rise building with tuned mass damper including soil–structure interaction.” J. Wind Eng. Ind. Aerodyn. 96 (6–7): 1092–1102. https://doi.org/10.1016/j.jweia.2007.06.034.
Marano, G. C., R. Greco, and B. Chiaia. 2010. “A comparison between different optimization criteria for tuned mass dampers design.” J. Sound Vib. 329 (23): 4880–4890. https://doi.org/10.1016/j.jsv.2010.05.015.
McNamara, R. J. 1977. “Tuned mass dampers for buildings.” J. Struct. Div. 103 (9): 1785–1798. https://doi.org/10.1061/JSDEAG.0004721.
Mirjalili, S. 2015. “Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm.” Knowl.-Based Syst. 89 (3): 228–249. https://doi.org/10.1016/j.knosys.2015.07.006.
Mirjalili, S., and A. Lewis. 2016. “The whale optimization algorithm.” Adv. Eng. Software 95 (Apr): 51–67. https://doi.org/10.1016/j.advengsoft.2016.01.008.
Mirjalili, S., S. M. Mirjalili, and A. Lewis. 2014. “Grey wolf optimizer.” Adv. Eng. Software 69 (Mar): 46–61. https://doi.org/10.1016/j.advengsoft.2013.12.007.
Pourzeynali, S., H. Lavasani, and A. Modarayi. 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.
Sadek, F., B. Mohraz, A. W. Taylor, and R. M. Chung. 1997. “A method of estimating the parameters of tuned mass dampers for seismic applications.” Earthquake Eng. Struct. Dyn. 26 (6): 617–635. https://doi.org/10.1002/(SICI)1096-9845(199706)26:6%3C617::AID-EQE664%3E3.0.CO;2-Z.
Salvi, J., F. Pioldi, and E. Rizzi. 2018. “Optimum tuned mass dampers under seismic soil-structure interaction.” Soil Dyn. Earthquake Eng. 114 (2): 576–597. https://doi.org/10.1016/j.soildyn.2018.07.014.
Singh, M. P., S. Singh, and L. M. Moreschi. 2002. “Tuned mass dampers for response control of torsional buildings.” Earthquake Eng. Struct. Dyn. 31 (4): 749–769. https://doi.org/10.1002/eqe.119.
Soheili, S., H. Zoka, and M. Abachizadeh. 2021. “Tuned mass dampers for the drift reduction of structures with soil effects using ant colony optimization.” Adv. Struct. Eng. 24 (4): 771–783. https://doi.org/10.1177/1369433220969023.
Tsai, H. C., and G. C. Lin. 1993. “Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems.” Earthquake Eng. Struct. Dyn. 22 (11): 957–973. https://doi.org/10.1002/eqe.4290221104.
Warburton, G. 1981. “Optimum absorber parameters for minimizing vibration response.” Earthquake Eng. Struct. Dyn. 9 (3): 251–262. https://doi.org/10.1002/eqe.4290090306.
Warburton, G. 1982. “Optimum absorber parameters for various combinations of response and excitation parameters.” Earthquake Eng. Struct. Dyn. 10 (3): 381–401. https://doi.org/10.1002/eqe.4290100304.
Warburton, G., and E. Ayorinde. 1980. “Optimum absorber parameters for simple systems.” Earthquake Eng. Struct. Dyn. 8 (3): 197–217. https://doi.org/10.1002/eqe.4290080302.
Wu, J., G. Chen, and M. Lou. 1999. “Seismic effectiveness of tuned mass dampers considering soil–structure interaction.” Earthquake Eng. Struct. Dyn. 28 (11): 1219–1233. https://doi.org/10.1002/(SICI)1096-9845(199911)28:11%3C1219::AID-EQE861%3E3.0.CO;2-G.
Zakian, P. 2019. “Meta-heuristic design optimization of steel moment resisting frames subjected to natural frequency constraints.” Adv. Eng. Software 135 (Aug): 102686. https://doi.org/10.1016/j.advengsoft.2019.102686.
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Received: Aug 2, 2021
Accepted: Feb 21, 2022
Published online: Apr 8, 2022
Published in print: Aug 1, 2022
Discussion open until: Sep 8, 2022
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Cited by
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