Abstract
Shake table tests instantly submit structural models to seismic excitation and evaluate their overall performance. However, inconsistencies in the amplified seismic output will undoubtedly exist, and the desired signals cannot be precisely achieved. The ability to accurately estimate and analyze system harmonics is necessary for building control filters that hinder harmonic levels in the signals. This paper initially focuses on studying key techniques such as time integration algorithms, filtering techniques, and metaheuristic optimization methods to understand their applications and their implementation in shake tables. Then, a hybrid algorithm that has the capability of regulating the weights of the unknown parameter of the harmonic signal arising in the table is formulated. A simulation and experimental study are carried out, and the developed algorithm is also compared to the artificial bee colony (ABC) algorithm, particle swarm optimization (PSO) algorithm, and modified ant bee colony-recursive least squares (MABC-RLS) algorithm and studied in terms of performance. Finally, future research and application challenges are discussed and underlined.
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Cetin H, Aydin E, Ozturk B (2017) Optimal damper allocation in shear buildings with tuned mass dampers and viscous dampers. Int J Earthq Impact Eng 2(2):89–120. https://doi.org/10.1504/IJEIE.2017.089038
Chen C, Ricles JM (2009) Analysis of actuator delay compensation methods for real-time testing. Eng Struct 31(11):2643–2655. https://doi.org/10.1016/j.engstruct.2009.06.012
Chen C, Ricles JM (2012) Analysis of implicit HHT-α integration algorithm for real-time hybrid simulation. Earthq Eng Struct Dyn 41(5):1021–1041. https://doi.org/10.1002/eqe.1172
George TA, Bones D (1991) Harmonic power flow determination using the fast fourier transform. IEEE Trans Power Deliv 6(2):530–535. https://doi.org/10.1109/61.131107
He Z, Ma C, Wang X, Li L, Wang Y, Zhao Y, Guo H (2014) “A Modified artificial bee colony algorithm based on search space division and disruptive selection strategy. In: Zong F (ed) Mathematical probability and engineering. Hindawi Publishing Corporation, London, p 432654. https://doi.org/10.1155/2014/432654
Hou ZS, Wang Z (2013) From model-based control to data-driven control: Survey, classification and perspective. Inf Sci 235:3–35
Kabalci Y, Kockanat S, Kabalci E (2018) A modified ABC algorithm approach for power system harmonic estimation problems. Electr Power Syst Res 154:160–173. https://doi.org/10.1016/j.epsr.2017.08.019
Karaboga D, Ozturk C (2011) A novel clustering approach: Artificial bee colony (ABC) algorithm. Appl Soft Comput 11(1):652–657
Kockanat S, Karaboga N (2015) A novel 2D-ABC adaptive filter algorithm: a comparative study. Digit Signal Process A Rev J 40(1):140–153. https://doi.org/10.1016/j.dsp.2015.02.010
Lee SK, Park EC, Min KW, Park JH (2007) Real-time substructuring technique for the shaking table test of upper substructures. Eng Struct 29(9):2219–2232. https://doi.org/10.1016/j.engstruct.2006.11.013
Liang X, Mosalam KM, Günay S (2016) Direct integration algorithms for efficient nonlinear seismic response of reinforced concrete highway bridges. J Bridg Eng 21(7):04016041. https://doi.org/10.1061/(asce)be.1943-5592.0000895
Lu Z, Ji TY, Tang WH, Wu QH (2008) Optimal harmonic estimation using a particle swarm optimizer. IEEE Trans Power Deliv 23(2):1166–1174. https://doi.org/10.1109/TPWRD.2008.917656
Lu J, Xie H, Hu L, Yang H, Chen Y (2021) Variable-parameter feedforward control for centrifuge shaking table based on nonlinear frequency characteristic model. Mech Syst Signal Process 161:108011. https://doi.org/10.1016/j.ymssp.2021.108011
Masoumnezhad M, Jamali A, Nariman-Zadeh N (2015) Optimal design of symmetrical/asymmetrical sigma-point Kalman filter using genetic algorithms. Trans Inst Meas Control 37(3):425–432. https://doi.org/10.1177/0142331214543092
Ou G, Prakash A, and Dyke SJ (2014) A modified runge-kutta integration method for computational delay in Real Time Hybrid Simulation. NCEE 2014 10th US national conference of earthquake engineering DOI: https://doi.org/10.4231/D3GH9B945
Ozturk B, Cetin H, Aydin E (2022) Optimum vertical location and design of multiple tuned mass dampers under seismic excitations. Structures 41:1141–1163. https://doi.org/10.1016/j.istruc.2022.05.014
Ozturk B, Cetin H, Dutkiewicz M, Aydin E, Noroozinejad FE (2022) On the efficacy of a novel optimized tuned mass damper for minimizing dynamic responses of cantilever beams. Appl Sci 12(15):1215487. https://doi.org/10.3390/app12157878
Ray PK, Subudhi B (2012) BFO optimized RLS algorithm for power system harmonics estimation. Appl Soft Comput 12(8):1965–1977. https://doi.org/10.1016/j.asoc.2012.03.0083
Silva CE, Gomez D, Maghareh A, Dyke SJ, Spencer BF (2020) Benchmark control problem for real-time hybrid simulation. Mech Syst Signal Process 135:106381. https://doi.org/10.1016/j.ymssp.2019.106381
Singh S, Santosh KS, Kumari D, Sinha N, Goswami AK, Sinha N (2018) Gravity search algorithm hybridized recursive least square method for power system harmonic estimation. Eng Sci Technol Int J 20:874
Tagawa Y, Kajiwara K (2007) Controller development for the E-defense shaking table. Proc Inst Mech Eng Part I J Syst Control Eng 221(2):171–181. https://doi.org/10.1243/09596518JSCE331
Wang T, Zhou H, Zhang X, Ran T (2018) Stability of an explicit time-integration algorithm for hybrid tests, considering stiffness hardening behavior. Earthq Eng Eng Vib 17(3):595–606. https://doi.org/10.1007/s11803-018-0465-6
Wang Z, Ning X, Xu G, Zhou H, Wu B (2019) High performance compensation using an adaptive strategy for real-time hybrid simulation. Mech Syst Signal Process 133:106262. https://doi.org/10.1016/j.ymssp.2019.106262
Yang XS (2010) A new metaheuristic bat-inspired algorithm. In: González JR, Pelta DA, Cruz C, Terrazas G, Krasnogor N (eds) Nature inspired cooperative strategies for optimization (NICSO 2010). Springer, Berlin, pp 65–74
Yao J, Di D, Jiang G, Gao S, Yan H (2013) Identification of acceleration harmonic for an electro-hydraulic servo shaking table based on Kalman filter. Trans Inst Meas Control 35(8):986–996. https://doi.org/10.1177/0142331213475926
Yao J, Yan H, Xiao R, Di D, Jiang G, Gao S, Yu H (2015) Sinusoidal acceleration harmonic estimation using the extended Kalman filter for an electro-hydraulic servo shaking table. J Vib Control 21(8):1566–1579. https://doi.org/10.1177/1077546313499392
Yao J, Yu H, Dietz M, Xiao R, Chen S, Wang T, Niu Q (2017) Acceleration harmonic estimation for a hydraulic shaking table by using particle swarm optimization. Trans Inst Meas Control 39(5):738–747. https://doi.org/10.1177/0142331215619975
Yao J, Wan Z, Fu Y, Sheng T, Yang M (2018) An artificial bee colony algorithm for solving hydraulic shaking table acceleration harmonic estimation problem. Internoise 2018 47th Int Congr Expo Noise Control Eng Impact Noise Control Eng 45:1–5
Yuan M, Ji H, Zhou W, Ohayon R (2013) Active control of sound transmission using a hybrid/blind decentralized control approach. J Vib Control 21:14785. https://doi.org/10.1177/1077546313514758
Acknowledgements
The authors are grateful to the NIT, Raipur Management for their support in completing this research. Also, thanks to those directly or indirectly involved and helped in this study.
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All authors contributed to the study conception and design. Test setup, programming and analysis are performed by R.B.M. The first draft of the manuscript is written by R.B.M. and authors G.B., U.K.D. commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Malathy, R.B., Bhat, G. & Dewangan, U.K. A Hybrid Algorithm for Acceleration Harmonic Estimation and Elimination in Shake Table. Iran J Sci Technol Trans Civ Eng 47, 3663–3680 (2023). https://doi.org/10.1007/s40996-023-01235-2
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DOI: https://doi.org/10.1007/s40996-023-01235-2