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Effect of detuning conditions on the performance of non-traditional tuned mass dampers under external excitation

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Abstract

The tuned mass damper (TMD) is a widely used passive control device which is attached to a main system to suppress undesired vibration. In this paper, a non-traditional form of TMD system is investigated. Unlike the traditional TMD configuration, the considered TMD system has a linear viscous damper connecting the absorber mass directly to the ground instead of the main mass. There have been some studies on the optimization design of the non-traditional TMD (NT-TMD) for undamped main structures. Those studies have indicated that the NT-TMD provides better performance than the traditional TMD does. When there is a frequency shifting in the structural frequency or tuning frequency of TMD, to the best knowledge of the authors, there has been no study on the performance of the NT-TMD. The main idea of the study is to investigate the effect of frequency detuning on the control performance of the NT-TMD. The optimum parameters of the NT-TMD system and corresponding effectiveness are obtained for different mass ratios of the NT-TMD system. The numerical results indicate that the NT-TMD with high mass ratio provides better robustness to the changes in the target frequency ratio than the traditional TMD.

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References

  1. Frahm, H.: Device for damped vibration of bodies. US Patent No. 989,958 (1909)

  2. Ormondroyd, J., Den Hartog, J.P.: The theory of the dynamic vibration absorber. Trans. Am. Soc. Mech. Eng. 50(7), 9–22 (1928)

    Google Scholar 

  3. Den Hartog, J.P.: Mechanical Vibrations. McGraw-Hill, New York (1956)

    MATH  Google Scholar 

  4. Asami, T., Nishihara, O., Baz, A.M.: Analytical solutions to \(\text{ H }_{\infty }\) and \(\text{ H }_{{2}}\) optimization of dynamic vibration absorbers attached to damped linear systems. J. Vib. Acoust. 124, 284–295 (2002)

    Article  Google Scholar 

  5. Lee, C.L., Chen, Y.T., Chung, L.L., Wang, Y.P.: Optimal design theories and applications of tuned mass dampers. Eng. Struct. 28, 43–53 (2006)

    Article  Google Scholar 

  6. Ghosh, A., Basu, B.: A closed-form optimal tuning criterion for TMD in damped structures. Struct. Control Health Monit. 14, 681–692 (2007)

    Article  Google Scholar 

  7. Marano, G.C., Greco, R.: Optimization criteria for tuned mass dampers for structural vibration control under stochastic excitation. J. Vib. Control 17, 679–688 (2011)

    Article  MathSciNet  Google Scholar 

  8. Brown, B., Singh, T.: Minimax design of vibration absorbers for linear damped systems. J. Sound Vib. 330, 2437–2448 (2011)

    Article  Google Scholar 

  9. Tigli, O.F.: Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads. J. Sound Vib. 331, 3035–3049 (2012)

    Article  Google Scholar 

  10. Dell’Elce, L., Gourc, E., Kerschen, G.: A robust equal-peak method for uncertain mechanical systems. J. Sound Vib. 414, 97–109 (2018)

    Article  Google Scholar 

  11. Mrabet, E., Guedri, M., Ichchou, M.N., Ghanmi, S., Soula, M.: A new reliability based optimization of tuned mass damper parameters using energy approach. J. Vib. Control 24, 153–170 (2018)

    Article  MathSciNet  Google Scholar 

  12. Ren, M.Z.: A variant design of the dynamic vibration absorber. J. Sound Vib. 245, 762–770 (2001)

    Article  Google Scholar 

  13. Liu, K., Liu, J.: The damped dynamic vibration absorbers: revisited and new result. J. Sound Vib. 284, 1181–1189 (2005)

    Article  Google Scholar 

  14. Wong, W.O., Cheung, Y.L.: Optimal design of a damped dynamic vibration absorber for vibration control of structure excited by ground motion. Eng. Struct. 30, 282–286 (2008)

    Article  Google Scholar 

  15. Cheung, Y.L., Wong, W.O.: Design of a non-traditional dynamic vibration absorber \((L)\). J. Acoust. Soc. Am. 126, 564–567 (2009)

    Article  Google Scholar 

  16. Cheung, Y.L., Wong, W.O.: \(\text{ H }_{{2}}\) optimization of a non-traditional dynamic vibration absorber for vibration control of structures under random force excitation. J. Sound Vib. 330, 1039–1044 (2011)

    Article  Google Scholar 

  17. Cheung, Y.L., Wong, W.O.: \(H\)-infinity optimization of a variant design of the dynamic vibration absorber—revisited and new results. J. Sound Vib. 330, 3901–3912 (2011)

    Article  Google Scholar 

  18. Yuan, M., Liu, K., Sadhu, A.: Simultaneous vibration suppression and energy harvesting with a non-traditional vibration absorber. J. Intell. Mater. Syst. Struct. 29, 1748–1763 (2018)

    Article  Google Scholar 

  19. Liu, K., Coppola, G.: Optimal design of damped dynamic vibration absorber for damped primary systems. Trans. Can. Soc. Mech. Eng. 34, 119–135 (2010)

    Article  Google Scholar 

  20. Chun, S., Lee, Y., Kim, T.H.: \(\text{ H }_{\infty }\) optimization of dynamic vibration absorber variant for vibration control of damped linear systems. J. Sound Vib. 335, 55–65 (2015)

    Article  Google Scholar 

  21. Anh, N.D., Nguyen, N.X.: Research on the design of non-traditional dynamic vibration absorber for damped structures under ground motion. J. Mech. Sci. Technol. 30, 593–602 (2016)

    Article  MathSciNet  Google Scholar 

  22. Anh, N.D., Nguyen, N.X., Quan, N.H.: Global-local approach to the design of dynamic vibration absorber for damped structures. J. Vib. Control 22, 3182–3201 (2016)

    Article  MathSciNet  Google Scholar 

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  1. Department of Civil Engineering, Faculty of Engineering and Natural Sciences, Gümüşhane University, 29100, Gümüşhane, Turkey

    Onur Araz

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  1. Onur Araz
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Araz, O. Effect of detuning conditions on the performance of non-traditional tuned mass dampers under external excitation. Arch Appl Mech 90, 523–532 (2020). https://doi.org/10.1007/s00419-019-01623-z

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