A SEQUENTIAL APPROACH BASED DESIGN OF MULTIPLE TUNED MASS DAMPERS UNDER HARMONIC EXCITATION

This study evaluates the response reduction effect of single-degree-of-freedom (SDOF) primary systems with multiple tuned mass dampers (MTMDs) under harmonic excitation. To design MTMD, TMD properties are re-calibrated based on the natural frequencies of the system on which the number of TMDs is one less than the current system. This is a sequential approach that does not require any iteration for each step. Instead it requires starting from the case with single TMD, and then increasing the numbers of TMDs one more at a time until the desired number is reached. Using the obtained design parameters, the effectiveness and robustness of the MTMDs are studied in comparison to MTMDs designed by previous works available in the literature. As a result, the proposed design procedure produces an effective multiple tuned mass damper to be utilized in a SDOF system under harmonic excitation. Additionally, the proposed approach provides a simple way to design the MTMD system than the traditional optimization methods, thus it significantly reduces the computation effort in the design process.

Keywords:

Harmonic excitation, optimal parameters, robustness analysis tuned mass dampers, vibration control.,

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[1] Xu, K., Igusa, T. (1992) Dynamic characteristics of multiple substructures with closely spaced frequencies. Earthquake Engineering and Structural Dynamics, 21, 1059-1070.
[2] Rana, R., Soong, T.T. (1998) Parametric study and simplified design of tuned mass dampers. Engineering Structures, 20, 193-204.
[3] Frahm, H. (1909) Device for damped vibration of bodies, U.S. Patent no. 989958.
[4] Den Hartog, J.P. (1956) Mechanical Vibrations, New York: McGraw-Hill.
[5] Warburton, G.B. (1982) Optimal absorber parameters for various combinations of response and excitation parameters. Earthquake Engineering and Structural Dynamics, 10, 381-401.
[6] Asami, T., Nishihara, O., Baz, A.M. (2002) Analytical solutions to and optimization of dynamic vibration absorbers attached to damped linear systems. Journal of Vibration and Acoustics, 124, 284-295.
[7] Ghosh, A., Basu, B. (2007) A closed-form optimal tuning criterion for TMD in damped structures. Structural Control and Health Monitoring, 14, 681-692.
[8] Brown, B., Singh, T. (2011) Minimax design of vibration absorbers for linear damped systems. Journal of Sound and Vibration, 330, 2437-2448.
[9] Anh, N.D., Nguyen, N.X. (2012) Extension of equivalent linearization method to design of TMD for linear damped systems. Structural Control and Health Monitoring, 19, 565-573.
[10] Yu, H., Gillot, F., Ichchou, M. (2013) Reliability based robust design optimization for tuned mass damper in passive vibration control of deterministic/uncertain structures. Journal of Sound and Vibration, 332, 2222-2238.
[11] Chun, S., Lee, Y., Kim, T.H. (2015) optimization of dynamic vibration absorber variant for vibration control of damped linear systems. Journal of Sound and Vibration, 335, 55-65.
[12] Dell’Elce, L., Gourc, E., Kerschen, G. (2018) A robust equal-peak method for uncertain mechanical systems. Journal of Sound and Vibration, 414, 97-109.
[13] Farshidianfar, A., Soheili, S. (2013) 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.
[14] Salvi, J., Rizzi, E. (2016) Closed-form optimum tuning formulas for passive tuned mass dampers under benchmark excitations. Smart Structures and Systems, 17, 231-256.
[15] Yazdi, H.A., Saberi, H., Saberi, H., Hatami, F. (2016) Designing optimal tuned mass dampers using improved harmony search algorithm. Advances in Structural Engineering, 19, 1620-1636.
[16] Bekdaş, G., Nigdeli, S.M. (2017) Metaheuristic based optimization of tuned mass dampers under earthquake excitation by considering soil-structure interaction. Soil Dynamics and Earthquake Engineering, 92, 443-461.
[17] Zuo, H., Bi, K., Hao, H. (2017) Using multiple tuned mass dampers to control offshore wind turbine vibrations under multiple hazards. Engineering Structures, 141, 303-315.
[18] Bozer, A., Özsarıyıldız, Ş.S. (2018) Free parameter search of multiple tuned mass dampers by using artificial bee colony algorithm. Structural Control & Health Monitoring, 25, 1-13.

Sigma Mühendislik ve Fen Bilimleri Dergisi-Cover

ISSN: 1304-7191
Yayın Aralığı: Yılda 4 Sayı
Yayıncı: Yıldız Teknik Üniversitesi

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