OPTIMIZATION OF NON-TRADITIONAL TUNED MASS DAMPER FOR DAMPED STRUCTURES UNDER HARMONIC EXCITATION

Abstract

Tuned mass dampers (TMDs) are used to reduce dynamic vibrations of structures under environmental loads such as wind or seismic excitation. In this paper, the optimum design of nontraditional tuned mass dampers (NT-TMD) attached to a damped main structure under harmonic excitation was investigated. Unlike the traditional TMD, the damping element in NT-TMD is directly connected to the ground. In this study, the effectiveness of NT-TMD on the attenuation of vibrations on the damped main system under harmonic load is investigated. The optimum parameters of the NT-TMD are obtained by using the hybrid pattern search (HPS) technique. According to numerical results, it is seen that non-traditional TMD is more effective than traditional TMD in reducing vibration.

Keywords

• Harmonic excitation
• Optimum design
• Performance
• Tuned mass damper

Harmonik Etki Altındaki Sönümlü Yapılar için Geleneksel Olmayan Ayarlı Kütle Sönümleyicinin Optimizasyonu

Abstract

Ayarlı kütle sönümleyiciler (AKS) rüzgâr ve sismik etkiler gibi çevresel yükler altındaki yapıların titreşimlerinin azaltılmasında kullanılmaktadır. Bu yazıda, harmonik etki altındaki sönümlü bir ana yapıya eklenen geleneksel olmayan ayarlanmış kütle sönümleyicilerin optimum tasarımı araştırılmıştır. Geleneksel AKS’den farklı olarak, sönüm elamanı direk olarak yere bağlanmaktadır. Geleneksel olmayan AKS’nin optimum parametreleri hibrit model arama tekniği kullanılarak elde edilmiştir. Numerik sonuçlar titreşim azaltılmasında geleneksel olmayana AKS’nin geleneksel AKS’ye göre daha etkili olduğu görülmektedir.

Keywords

• Harmonik etki
• Optimum tasarım
• Performans
• Ayarlı kütle sönümleyici

References

1. 1. Amiri, G.G., Razzaghi, S.A.S. and Bagheri, A. (2011) Damage detection in plates based on pattern search and Genetic algorithms, Smart Structures and Systems, 7(2), 117-132. doi: 10.12989/sss.2011.7.2.117
2. 2. Anh, N.D. and Nguyen, N.X. (2014) Design of non-traditional dynamic vibration absorber for damped linear structures, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228, 45-55. doi: 10.1177/0954406213481422
3. 3. Anh, N.D., Nguyen, N.X. and Quan, N.H. (2016) Global-local approach to the design of dynamic vibration absorber for damped structures, Journal and Vibration Control, 22, 1-20. doi: 10.1177/1077546314561282
4. 4. Araz, O. (2020) Effect of detuning conditions on the performance of non-traditional tuned mass dampers under external excitation, Arch. Appl. Mech., 90, 523-532. doi: 10.1007/s00419-019-01623-z
5. 5. Araz, O. and Kahya, V. (2018) Effects of manufacturing type on control performance of multiple tuned mass dampers under harmonic excitation, Journal of Structural Engineering & Applied Mechanics, 1(3), 117–27. doi:10.31462/jseam.2018.03117127
6. 6. Araz, O. and Kahya, V. (2020) Series tuned mass dampers in control of continuous railway bridges, Struct. Eng. Mech., 73(2), 133-141. doi: 10.12989/sem.2020.73.2.133
7. 7. Araz, O. and Kahya, V. (2021) Design of series tuned mass dampers for seismic control of structures using simulated annealing algorithm, Archive of Applied Mechanics, 91, 4343–4359. doi: 10.1007/s00419-021-02013-0
8. 8. Asami, T., Nishihara, O. and Baz, A.M. (2002) Analytical solutions to H∞ and H2 optimization of dynamic vibration absorbers attached to damped linear systems, Journal of Vibration and Acoustics, 124, 284-295. doi: 10.1115/1.1456458

9. 9. Bagheri, A. and Amini, F. (2013) Control of structures under uniform hazard earthquake excitation via wavelet analysis and pattern search method, Structural Control & Health Monitoring, 20(5), 671-685. doi: 10.1002/stc.510
10. 10. Bakre, S.V. and Jangid, R.S. (2004) Optimum multiple tuned mass dampers for base-excited damped main system, Int. J. Struct. Stab. Dyn., 4(4), 527–542. doi: 10.1142/S0219455404001367
11. 11. Cheung, Y.L. and Wong, W.O. (2009) Design of a non-traditional dynamic vibration absorber (L), Journal of the Acoustical Society of America, 126, 564-567. doi: 10.1121/1.3158917
12. 12. Cheung, Y.L. and Wong, W.O. (2011) H2 optimization of a non-traditional dynamic vibration absorber for vibration control of structures under random force excitation, Journal of Sound and Vibration, 330, 1039-1044. doi: 10.1016/j.jsv.2010.10.031
13. 13. Cheung, Y.L. and Wong, W.O. (2011) H-infinity optimization of a variant design of the dynamic vibration absorber-Revisited and new results, Journal of Sound and Vibration, 330,3901-3912. doi: 10.1016/j.jsv.2011.03.027
14. 14. Dell’Elce, L., Gourc, E. and Kerschen, G. (2018) A robust equal-peak method for uncertain mechanical systems, J. Sound Vib., 414, 97-109. doi: 10.1016/j.jsv.2017.10.038
15. 15. Den Hartog, J.P. (1956) Mechanical Vibrations, McGraw-Hill, New York
16. 16. Esen, İ. and Koç, M.A. (2015) Optimization of a passive vibration absorber for a barrel using the genetic algorithm, Expert Syst. Appl., 42, 894–905. doi: 10.1016/j.eswa.2014.08.038
17. 17. Frahm, H. (1909) Device for Damped Vibration of Bodies. U.S. Patent No. 989958.
18. 18. Fujino, Y. and Abe, M. (1993) Design formulas for tuned mass dampers based on a perturbation technique, Earth. Eng. Struct. Dyn., 22(10), 833-854. doi: 10.1002/eqe.4290221002
19. 19. Jangid, R.S. (1999) Optimum multiple tuned mass dampers for base-excited undamped system, Earthq. Eng. Struct. Dyn., 28(9), 1041-1049. doi: 10.1002/(SICI)1096-9845(199909)28:9<1041::AID-EQE853>3.0.CO;2-E
20. 20. Kahya, V. and Araz, O. (2017) Series tuned mass dampers in train-induced vibration control of railway bridges, Structural Engineering and Mechanics, 61, 453-461. doi: 10.12989/sem.2017.61.4.453
21. 21. Kahya, V. and Araz, O. (2019) A sequential approach based design of multiple tuned mass dampers under harmonic excitation, Sigma Journal of Engineering and Natural Sciences, 37, 225-239.
22. 22. Kahya, V. and Araz, O. (2020) A simple design method for multiple tuned mass dampers in reduction of excessive vibrations of high-speed railway bridges, Journal of the Faculty of Engineering and Architecture of Gazi University, 35(2), 607-618. doi: 10.17341/gazimmfd.493102
23. 23. Karakaya, S. and Soykasap, O. (2009) Buckling optimization of laminated composite plates using genetic algorithm and generalized pattern search algorithm, Structural and Multidisciplinary Optimization, 39(5), 477-486. doi: 10.1007/s00158-008-0344-2
24. 24. Koc, M.A. (2020a) Implementation of a Vibration Absorbers to Euler-Bernoulli Beam and Dynamic Analysis of Moving Car, Academic Platform Journal of Engineering and Science, 8, 523-532. doi: 10.21541/apjes.662708
25. 25. Koc, M.A. (2020b) Fuzzy Logic Control of Vibrations due to Interaction One DOF Vehicle and Flexible Structure with Tuned Mass Damper, Journal of Smart Systems Suspension Research, 1, 1-10.
26. 26. Li, C. (2002) Optimum multiple tuned mass dampers for structures under the ground acceleration based on DDMF and ADMF, Earthquake Engineering and Structural Dynamics, 31, 897-919. doi: 10.1002/eqe.128
27. 27. Liu, K. and Liu, J. (2005) The damped dynamic vibration absorbers: revisited and new result, Journal of Sound and Vibration, 284, 1181-1189. doi: 10.1016/j.jsv.2004.08.002
28. 28. Liu, K. and Coppola, G. (2010) Optimal design of damped dynamic vibration absorber for damped primary systems, Transactions of the Canadian Society for Mechanical Engineering, 34, 119-135. doi: 10.1139/tcsme-2010-0008
29. 29. Marano, G.C. and Greco, R. (2011) Optimization criteria for tuned mass dampers for structural vibration control under stochastic excitation, Journal and Vibration Control, 17, 679-688.doi: 10.1177/1077546310365988
30. 30. Marano, G.C., Greco, R., Trentadue, F. and Chiaia, B. (2007) Constrained reliability-based optimization of linear tuned mass dampers for seismic control, Int. J. Solids Struct., 44(22-23), 7370-7388. doi: 10.1016/j.ijsolstr.2007.04.012
31. 31. Mate, N.U., Bakre, S.V. and Jaiswal, O.R. (2017) Seismic pounding response of singled-degree-of-freedom elastic and inelastic structures using passive tuned mass damper, International Journal of Civil Engineering, 15, 991-1005. doi: 10.1007/s40999-017-0178-7
32. 32. Matta, E. (2015) Seismic effectiveness of tuned mass dampers in a life-cycle cost perspective, Earthquakes and Structures, 9(1), 73-91. doi: 10.12989/eas.2015.9.1.073
33. 33. Mrabet, E., Guedri, M., Ichchou, M.N., Ghanmi, S. and Soula, M. (2018) A new reliability based optimization of tuned mass damper parameters using energy approach, Journal and Vibration Control, 24, 153-170. doi: 10.1177/1077546316636361
34. 34. Nigdeli S.M. and Bekdas, G. (2014) Optimum tuned mass damper approach for adjacent structures, Earthquakes and Structures, 7(6), 1071-1091. doi: 10.12989/eas.2014.7.6.1071
35. 35. Ormondroyd, J. and Den Hartog, J.P. (1928) The theory of the dynamic vibration absorber, Transactions of ASME Journal of Applied Mechanics, 50, 9-22.
36. 36. Ren, M.Z. (2001) A variant design of the dynamic vibration absorber, Journal of Sound and Vibration, 245, 762-770. doi: 10.1006/jsvi.2001.3564
37. 37. Ruge, G. and Wagner, N. (2020) Design of tuned mass dampers for damped structures with uncertain excitation, Bautechnik, 97, 737-743. doi: 10.1002/bate.202000024
38. 38. Tsai, H.C. (1995) The effect of tuned-mass dampers on the seismic response of base-isolated structures, Int. J. Solids Struct., 32(8–9), 1195–1210. doi: 10.1016/0020-7683(94)00150-U
39. 39. Yazdi, H.A., Saberi, H. and Hatemi, F. (2016) Designing optimal tuned mass dampers using improved harmony search algorithm, Adv. Struct. Eng., 19(10), 1620-1636. doi: 10.1177/1369433216646018
40. 40. Yucel, M., Bekdaş, G., Nigdeli, S.M. and Sevgen, S. (2019) Estimation of optimum tuned mass damper parameters via machine learning, J. Build. Eng., 26, 100847. doi: 10.1016/j.jobe.2019.100847
41. 41. Yuan, M., Liu, K. and Sadhu, A. (2018) Simultaneous vibration suppression and energy harvesting with a non-traditional vibration absorber, Journal Intelligent Material Systems and Structures, 29, 1748-1763. doi: 10.1177/1045389X17754263
42. 42. Warburton, G.B. (1982) Optimum absorber parameters for various combinations of response and excitation parameters, Earthq. Eng. Struct. Dyn., 10(3), 381–401. doi: 10.1002/eqe.4290100304
43. 43. Wetter, M. and Polak, E. (2005) Building design optimization using a convergent pattern search algorithm with adaptive precision simulations, Energy and Buildings, 37(6), 603-612.doi: 10.1016/j.enbuild.2004.09.005
44. 44. Wong W.O. and Cheung, Y.L. (2008) Optimal design of a damped dynamic vibration absorber for vibration control of structure excited by ground motion, Engineering Structures, 30,282-286. doi: 10.1016/j.engstruct.2007.03.007