Research Articles | Challenge Journal of Structural Mechanics

Teaching-learning based optimization for parameter estimation of double tuned mass dampers

Sinan Melih Niğdeli, Gebrail Bekdaş


DOI: https://doi.org/10.20528/cjsmec.2016.11.032
View Counter: Abstract | 1557 times | ‒ Full Article | 335 times |

Full Text:

PDF

Abstract


The classical methods for parameter estimation of tuned mass dampers are well known simple formulations, but these formulations are only suitable for multiple degree of freedom structures by considering a single mode. If special range limitation of tuned mass dampers and inherent damping of the main structure are considered, the best way to estimate the parameters is to use a numerical method. The numerical method must have a good convergence and computation time. In that case, metaheuristic methods are effective on the problem. Generally, metaheuristic method is inspired from a process of life and it is formulated for several steps in order to reach an optimal goal. Differently from the single tuned mass dampers, double tuned mass dampers can be also used for the reduction of vibrations. In civil structures, earthquake excitation is a major source of vibrations. In this study, optimum double tuned mass dampers are investigated for seismic structures by using a wide range of earthquake records for global optimum. As an optimization algorithm, teaching learning based optimization is employed. In this algorithm, the teaching and learning phases of a class are modified for optimization problems. The optimization of double tuned mass damper is more challenging than the single ones since the number of design variable is doubled and the design constraint about the stroke of the both masses must be considered. The proposed method is compared with the existing approaches and the methodology is feasible for parameter estimation of double tuned mass dampers.


Keywords


optimization; teaching-learning based optimization; double tuned mass dampers; stroke capacity; earthquakes

References


Bekdaş G, Nigdeli SM (2011). Estimating optimum parameters of tuned mass dampers using harmony search. Engineering Structures, 33, 2716–2723.

https://doi.org/10.1016/j.engstruct.2011.05.024

Bekdaş G, Nigdel SM (2013). Mass ratio factor for optimum tuned mass damper strategies. International Journal of Mechanical Sciences, 71, 68–84.

https://doi.org/10.1016/j.ijmecsci.2013.03.014

Bekdaş G, Nigdeli SM (2014). Optimization of double tuned mass dampers by using harmony search. The 12th International Conference on Computational Structures Technology, September 2-5, Naples, Italy.

Den Hartog JP (1947). Mechanical Vibrations. McGraw-Hill, New York.

Desu NB, Deb SK, Dutta A (2006). Coupled tuned mass dampers for control of coupled vibrations in symmetric buildings. Structural Control and Health Monitoring, 13, 897–916.

https://doi.org/10.1002/stc.64

Dorigo M, Maniezzo V, Colorni A (1996). The ant system: Optimization by a colony of cooperating agents, IEEE Transactions on Systems Man and Cybernet, B 26, 29–41.

Farshidianfar A, Soheili S (2013a). Ant colony optimization of tuned mass dampers for earthquake oscillations of high-rise structures including soil-structure interaction. Soil Dynamics and Earthquake Engineering, 51, 14-22.

https://doi.org/10.1016/j.soildyn.2013.04.002

Farshidianfar A, Soheili S (2013b). ABC optimization of TMD parameters for tall buildings with soil structure interaction. Interaction and Multiscale Mechanics, 6(4), 339–356.

https://doi.org/10.12989/imm.2013.6.4.339

Farshidianfar A, Soheili S (2013c). Optimization of TMD parameters for earthquake vibrations of tall buildings including soil structure interaction. International Journal of Optimization in Civil Engineering, 3, 409–429.

FEMA P-695 (2009). Quantification of Building Seismic Performance Factors. Federal Emergency Management Agency, Washington DC.

Frahm H (1911). Device for Damping of Bodies. U.S. Patent No: 989, 958.

Geem ZW, Kim JH, Loganathan GV (2001). A new heuristic optimization algorithm: harmony search, Simulation, 76, 60–68.

https://doi.org/10.1177/003754970107600201

Goldberg DE (1989). Genetic Algorithms in Search, Optimization and Machine Learning. Boston MA: Addison Wesley.

Hadi MNS, Arfiadi Y (1998). Optimum design of absorber for MDOF structures. Journal of Structural Engineering-ASCE, 124, 1272–1280.

https://doi.org/10.1061/(ASCE)0733-9445(1998)124:11(1272)

Holland JH (1975). Adaptation in Natural and Artificial Systems. Ann Arbor MI: University of Michigan Press.

Kennedy J, Eberhart RC (1995). Particle swarm optimization. Proceedings of IEEE International Conference on Neural Networks No. IV, Perth Australia; November 27-December 1, 1942–1948.

https://doi.org/10.1109/icnn.1995.488968

Leung AYT, Zhang H, Cheng CC and Lee YY (2008). Particle swarm optimization of TMD by non-stationary base excitation during earthquake. Earthquake Engineering and Structural Dynamics, 37, 1223–1246.

https://doi.org/10.1002/eqe.811

Leung AYT and Zhang H (2009). Particle swarm optimization of tuned mass dampers. Engineering Structures, 31, 715-728.

https://doi.org/10.1016/j.engstruct.2008.11.017

Li C, Zhu B (2006). Estimating double tuned mass dampers for structures underground acceleration using a novel optimum criterion. Journal of Sound and Vibration, 298, 280–297.

https://doi.org/10.1016/j.jsv.2006.05.018

Marano GC, Greco R, Chiaia B (2010). A comparison between different optimization criteria for tuned mass dampers design. Journal of Sound and Vibration, 329, 4880-4890.

https://doi.org/10.1016/j.jsv.2010.05.015

Miranda JC (2005). On tuned mass dampers for reducing the seismic response of structures. Earthquake Engineering and Structural Dynamics, 34, 847–865.

https://doi.org/10.1002/eqe.461

Miranda JC (2012). System intrinsic, damping maximized, tuned mass dampers for seismic applications. Structural Control Health Monitoring, 19, 405–416.

https://doi.org/10.1002/stc.440

Nigdeli SM, Bekdaş G (2013). Optimum tuned mass damper design for preventing brittle fracture of RC buildings. Smart Structures and Systems, 12(2), 137–155.

https://doi.org/10.12989/sss.2013.12.2.137

Nigdeli SM, Bekdaş G (2015a). Teaching-Learning-Based optimization for estimating tuned mass damper parameters. 3rd International Conference on Optimization Techniques in Engineering (OTENG '15), November 7–9, Rome, Italy.

Nigdeli SM, Bekdaş G (2015b). Multi objective optimization of double tuned mass dampers considering maximum stroke capacity. International Conference on Engineering Vibration, September 7–10, Ljubljana, Slovenia.

Ormondroyd J, Den Hartog JP (1928). The theory of dynamic vibration absorber. Transactions of the American Society of Mechanical Engineers, 50, 9–22.

Pourzeynali S, Lavasani HH, Modarayi AH (2007). Active control of high rise building structures using fuzzy logic and genetic algorithms. Engineering Structures, 29, 346-357.

https://doi.org/10.1016/j.engstruct.2006.04.015

Rao RV, Savsani VJ, Vakharia DP (2011). Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems. Computer-Aided Design, 43(3), 303–315.

https://doi.org/10.1016/j.cad.2010.12.015

Rao R, Patel V (2012). An elitist teaching-learning-based optimization algorithm for solving complex constrained optimization problems. International Journal of Industrial Engineering Computations, 3(4), 535–560.

https://doi.org/10.5267/j.ijiec.2012.03.007

Sadek F, Mohraz B, Taylor AW, Chung RM (1997). A method of estimating the parameters of tuned mass dampers for seismic applications. Earthquake Engineering and Structural Dynamics, 26, 617–635.

https://doi.org/10.1002/(SICI)1096-9845(199706)26:6<617::AID-EQE664>3.0.CO;2-Z

Salvi J, Rizzi E (2014). Optimum tuning of Tuned Mass Dampers for frame structures under earthquake excitation. Structural Control Health Monitoring, 22(4), 707–725.

https://doi.org/10.1002/stc.1710

Steinbuch R (2011). Bionic optimisation of the earthquake resistance of high buildings by tuned mass dampers. Journal of Bionic Engineering, 8, 335–344.

https://doi.org/10.1016/S1672-6529(11)60036-X

Singh MP, Singh S, Moreschi LM (2002). Tuned mass dampers for response control of torsional buildings. Earthquake Engineering and Structural Dynamics, 31, 749–769.

https://doi.org/10.1002/eqe.119

Tigli OF (2012). Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads. Journal of Sound and Vibration, 331(13), 3035–3049.

https://doi.org/10.1016/j.jsv.2012.02.017

Tributsch A, Adam C (2012). Evaluation and analytical approximation of Tuned Mass Damper performance in an earthquake environment. Smart Structures and Systems, 10(2), 155–179.

https://doi.org/10.12989/sss.2012.10.2.155

Warburton GB, (1982). Optimum absorber parameters for various combinations of response and excitation parameters. Earthquake Engineering and Structural Dynamics, 10, 381–401.

https://doi.org/10.1002/eqe.4290100304

---

Peer-review under responsibility of the organizing committee of ACE2016.


Refbacks

  • There are currently no refbacks.