Structural Engineering and Mechanics

  • 제72권6호
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  • Pages.747-762
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  • 2019
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Dynamic characteristics of multiple inerter-based dampers for suppressing harmonically forced oscillations

  • Chen, Huating (Guangdong Provincial Key Laboratory of Earthquake Engineering and Applied Technology, Guangzhou University) ;
  • Jia, Shaomin (College of Civil Engineering, Sichuan Agricultural University) ;
  • He, Xuefeng (Guangdong Provincial Key Laboratory of Earthquake Engineering and Applied Technology, Guangzhou University)
  • 투고 : 2019.03.31
  • 심사 : 2019.08.12
  • 발행 : 2019.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

Based on the ball-screw mechanism, a tuned viscous mass damper (TVMD) has been proposed, which has functions of amplifying physical mass of the system and frequency tuning. Considering the sensitivity of a single TVMD's effectiveness to frequency mistuning like that of the conventional tuned mass damper (TMD) and according to the concept of the conventional multiple tuned mass damper (MTMD), in the present paper, multiple tuned mass viscous dampers (MTVMD) consisting of many tuned mass dampers (TVMD) with a uniform distribution of natural frequencies are considered for attenuating undesirable vibration of a structure. The MTVMD is manufactured by keeping the stiffness and damping constant and varying the mass associated with the lead of the ball-screw type inerter element in the damper. The structure is represented by its mode-generalized system in a specific vibration mode controlled using the mode reduced-order method. Modal properties and fundamental characteristics of the MTVMD-structure system are investigated analytically with the parameters, i.e., the frequency band, the average damping ratio, the tuning frequency ratio, the total number of TVMD and the total mass ratio. It is found that there exists an optimum set of the parameters that makes the frequency response curve of the structure flattened with smaller amplitudes in a wider input frequency range. The effectiveness and robustness of the MTVMD are also discussed in comparison with those of the usual single TVMD (STVMD) and the results shows that the MTVMD is more effective and robust with the same level of total mass.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, Guangzhou University

This work was supported by the National Natural Science Foundation of China (Grant no. 51808154), the National Key R&D Program of China (Grant no.2017YFC0703600) and the Scientific Research Founding for introduced talents of Guangzhou University (Grant no.2809952).

참고문헌

  1. Abe, M. and Fujino, Y. (1994), "Dynamic characterization of multiple tuned mass dampers and some design formulas", Earthq. Eng. Struct. Dyn., 23(8), 813-835. https://doi.org/10.1002/eqe.4290230802.
  2. Chen, M.Z.Q., Hu, Y.L., Huang, L.X. and Chen, G.R. (2014), "Influence of inerter on natural frequencies of vibration systems", J. Sound Vib., 333(7), 1874-1887. https://doi.org/10.1016/j.jsv.2013.11.025.
  3. Chen, M.Z.Q., Papageorgiou, C., Scheibe F, Wang, F.C. and Smith, M.C. (2009), "The missing mechanical circuit element", IEEE Circuits Syst. Mag., 9(1), 10-26. https://doi.org/10.1109/MCAS.2008.931738.
  4. Chen, H.T., Tan, P., Ma, H.T. and Zhou, F.L. (2017), "Response spectrum analysis considering non-classical damping in the baseisolated benchmark building", Struct. Eng. Mech., 64(4), 473-485. https://doi.org/10.12989/sem.2017.64.4.473.
  5. Den Hartog, J.P. (1985), Mechanical Vibrations. (4th Edition), Dover, New York, USA.
  6. Evangelou, S., Limebeer, D.J., Sharp, R. and Smith, M.C. (2007), "Mechanical steering compensators for high-performance motorcycles", J. Appl. Mech. ASME, 74(2), 332-346. https://doi:10.1115/1.2198547.
  7. Giaralis, A. and Taflanidis, A. (2017), "Optimal tuned massdamper- inerter (TMDI) design for seismically excited MDOF structures with model uncertainties based on reliability criteria", Struct. Control Health Monitor., 25(2), https://doi.org/10.1002/stc.2082.
  8. Giaralis, A. and Petrini, F. (2017), "Wind-induced vibration mitigation in tall buildings using the tuned mass-damperinerter", J. Struct. Eng. ASCE, 143(9). https://doi.org/10.1061/(ASCE)ST.1943-541X.0001863.
  9. Hu, Y.L. and Chen, M.Z.Q. (2015), "Performance evaluation for inerter-based dynamic vibration absorbers", Int. J. Mech. Sci., 99:297-307. https://doi.org/10.1016/j.ijmecsci.2015.06.003.
  10. Hwang, J.S., Kim, J. and Kim, Y.M. (2007), "Rotational inertia dampers with toggle bracing for vibration control of a building structure", Eng. Struct., 29(6), 1201-8. https://doi.org/10.1016/j.engstruct.2006.08.005.
  11. Ikago, K., Saito, K. and Inoue, N. (2012a), "Seismic control of single‐degree‐of‐freedom structure using tuned viscous mass damper", Earthq. Eng. Struct. Dyn., 41(3), 453-474. https://doi.org/10.1002/eqe.1138.
  12. Ikago, K., Sugimura, Y., Saito, K. and Inoue, N. (2012b), "Modal response characteristics of a multiple-degree-of-freedom structure incorporated with tuned viscous mass dampers", J. Asian Architect. Build. Eng., 11(2), 375-382. https://doi.org/10.3130/jaabe.11.375.
  13. Jin, X.L., Chen, M.Z.Q. and Huang, Z.L. (2016), "Minimization of the beam response using inerter-based passive vibration control configurations", Int. J. Mech. Sci., 119, 1-29. https://doi.org/10.1016/j.ijmecsci.2016.10.007.
  14. Kim, S. and Lee, C. (2018), "Optimum design of linear multiple tuned mass dampers subjected to white-noise base acceleration considering practical configurations", Eng. Struct., 171(15), 516-528. https://doi.org/10.1016/j.engstruct.2018.06.002.
  15. Lazar, I.F., Neild, S.A. and Wagg, D.J. (2014), "Using an inerterbased device for structural vibration suppression", Earthq. Eng. Struct. Dyn., 43(8), 1129-1147. https://doi:10.1002/eqe.2390.
  16. Lazar, I.F., Neild, S.A. and Wagg, D.J. (2016), "Vibration suppression of cables using tuned inerter dampers", Eng. Struct., 122, 62-71. https://doi.org/10.1016/j.engstruct.2016.04.017.
  17. Li, C.X. (2002), "Optimum multiple tuned mass dampers for structures under the ground acceleration based on DDMF and ADMF", Earthq. Eng. Struct. Dyn., 31(4), 897-919. https://doi.org/10.1002/eqe.128.
  18. Liu, Y.H., Wu, J.B. and Dona, M. (2018), "Effectiveness of fluidviscous dampers for improved seismic performance of interstorey isolated buildings", Eng. Struct., 169, 276-292. https://doi.org/10.1016/j.engstruct.2018.05.031.
  19. Marian, L. and Giaralis, A. (2014), "Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems", Probabilist. Eng. Mech., 38, 156-164. https://doi.org/10.1016/j.probengmech.2014.03.007.
  20. Shen, Y.J., Chen, L., Yang, X.F., Shi, D.H and Yang, J. (2016), "Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension", J. Sound Vib., 361(20), 148-58. https://doi.org/10.1016/j.jsv.2015.06.045.
  21. Smith, M.C. (2002), "Synthesis of mechanical networks: the inerter", IEEE T. Automat. Contr., 47(10), 1648-1662. https://doi.org/10.1109/TAC.2002.803532.
  22. Soong, T.T. and Costantinou, M.C. (1994), Passive and Active Structural Vibration Control in Civil Engineering. Wien, New York.
  23. Sun, L.M., Hong, D.X. and Chen, L. (2017), "Cables interconnected with tuned inerter damper for vibration mitigation", Eng. Struct., 151(15), 57-67. https://doi.org/10.1016/j.engstruct.2017.08.009.
  24. Takewaki, I., Murakami, S., Yoshitomi, S. and Tsuji, M. (2012), "Fundamental mechanism of earthquake response reduction in building structures with inertial dampers", Struct. Control Health Monitor., 19(6), 590-608. https://doi.org/10.1002/stc.457.
  25. Wang, F.C., Hong, M.F. and Lin, T.C. (2010), "Designing and testing a hydraulic inerter", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 225(1), 66-72. https://doi.org/10.1243/09544062JMES2199.
  26. Wang, F.C., Liao, M.K., Liao, B.H., Su, W.J. and Chan, H.A. (2009), "The performance improvements of train suspension systems with mechanical networks employing inerters", Vehicle Syst. Dyn., 47(7), 805-30. https://doi.org/10.1080/00423110802385951.
  27. Wang, F.C. and Su, W.J. (2014), "Vibration control of an optical table employing mechatronic inerter networks", J. Vib. Contr., 22(1), 224-234. https://doi.org/10.1177/1077546314528365.
  28. Wang, F.C., Chen, C., Liao, M.K. and Hong, M.F. (2007), "Performance analyses of building suspension control with inerters", Proceedings of the 46th IEEE conference on decision and control. New Orleans, LA, USA.
  29. Wen, Y.K., Chen, Z.Q. and Hua, X.G. (2017), "Design and evaluation of tuned inerter-based dampers for the seismic control of MDOF structures", J. Struct. Eng. ASCE, 143(4), https://doi.org/10.1061/(ASCE)ST.1943-541X.0001680.
  30. Xu, K.M. and Igusa, T. (1992), "Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthq. Eng. Struct. Dyn., 21(12), 1059-1070. https://doi.org/10.1002/eqe.4290211203.
  31. Xin, D., Yuance, L. and Michael, Z.Q.C. (2015), "Application of inerter to aircraft landing gear suspension", The 34th Chinese Control Conference, Hangzhou, China.
  32. Yamaguchi, H. and Harnpornchai, N. (1993), "Fundamental characteristics of multiple tuned mass dampers for suppressing harmonically forced oscillations", Earthq. Eng. Struct. Dyn., 22(1), 51-62. https://doi.org/10.1002/eqe.4290220105.
  33. Zuo, H.R., Bi K.M. and Hao, H. (2017), "Using multiple tuned mass dampers to control offshore wind turbine vibrations under multiple hazards", Eng. Struct., 141(15), 303-315. https://doi.org/10.1016/j.engstruct.2017.03.006.
  34. Zhang, S., Lewis, T., Jiang, J. and Neild, S. (2016), "Passive vibration suppression using multiple inerter-based devices for a multi-storey building structure", Proceedings of the 6th European Conference on Structural Control, Sheffield, United Kingdom.

피인용 문헌

  1. Input energy spectra and energy characteristics of the hysteretic nonlinear structure with an inerter system vol.76, pp.6, 2019, https://doi.org/10.12989/sem.2020.76.6.709