Smart Structures and Systems

  • 제20권4호
  • /
  • Pages.461-472
  • /
  • 2017
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Optimum LCVA for suppressing harmonic vibration of damped structures

  • Shum, K.M. (CLP Power Wind/Wave Tunnel Facility, The Hong Kong University of Science and Technology) ;
  • Xu, Y.L. (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Leung, H.Y. (CLP Power Wind/Wave Tunnel Facility, The Hong Kong University of Science and Technology)
  • 투고 : 2017.03.06
  • 심사 : 2017.09.20
  • 발행 : 2017.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

Explicit design formulae of liquid column vibration absorber (LCVA) for suppressing harmonic vibration of structures with small inherent structural damping are developed in this study. The developed design formulae are also applicable to the design of a tuned mass damper (TMD) and a tuned liquid column damper (TLCD) for damped structures under harmonic force excitation. The optimum parameters of LCVA for suppressing harmonic vibration of undamped structures are first derived. Numerical searching of the optimum parameters of tuned vibration absorber system for suppressing harmonic vibration of damped structure is conducted. Explicit formulae for these optimum parameters are then obtained by a series of curve fitting techniques. The analytical result shows that the control performance of TLCD for reducing harmonic vibration of undamped structure is always better than that of non-uniform LCVA for same mass and length ratios. As for the effects of structural damping on the optimum parameters, it is found that the optimum tuning ratio decreases and the optimum damping ratio increases as the structural damping is increased. Furthermore, the optimum head loss coefficient is inversely proportional to the amplitude of excitation force and increases as the structural damping is increased. Numerical verification of the developed explicit design expressions is also conducted and the developed expressions are demonstrated to be reasonably accurate for design purposes.

키워드

참고문헌

  1. Bigdeli, Y. and Kim, D. (2016), "Damping effects of the passive control devices on structural vibration control: TMD, TLC and TLCD for varying total masses", KSCE J. Civil Eng., 20(1), 301-308. https://doi.org/10.1007/s12205-015-0365-5
  2. Bigdeli, Y. and Kim, D. (2017), "Development of energy based Neuro-Wavelet algorithm to suppress structural vibration", Struct. Eng. Mech., 62(2), 237-246. https://doi.org/10.12989/sem.2017.62.2.237
  3. Brock, J.E. (1946), "A note on the damped vibration absorber", J. Appl. Mech., 68, A-284.
  4. Chang, C.C. (1999), "Mass dampers and their optimal designs for building vibration control", Eng. Struct., 21(5), 454-463. https://doi.org/10.1016/S0141-0296(97)00213-7
  5. Cheng, C.W., Lee, H.H. and Luo Y.T. (2015), "Experimental study of controllable MR-TLCD applied to the mitigation of structure vibration", Smart Struct. Syst., 15(6), 1481-1501. https://doi.org/10.12989/sss.2015.15.6.1481
  6. Den Hartog, J.P. (1985), Mechanical Vibrations, Dover Publications, New York.
  7. Di Matteo, A., Di Paola, M. and Pirrotta, A. (2006), "Innovative modeling of tuned liquid column damper controlled structures", Smart Struct. Syst., 18(1), 117-138. https://doi.org/10.12989/SSS.2016.18.1.117
  8. Di Matteo, A., Lo Iacono, F. and Navarra, G. (2014), "Experimental validation of a direct pre-design formula for TLCD", Eng. Struct., 75, 528-538. https://doi.org/10.1016/j.engstruct.2014.05.045
  9. Di Matteo, A., Lo Iacono, F., Navarra, G. and Pirrotta, A. (2015), "Innovative modeling of tuned liquid column damper motion", Commun. Nonlinear Sci. Numer. Simul., 23, 229-244. https://doi.org/10.1016/j.cnsns.2014.11.005
  10. Di Matteo, A., Lo Iacono, F., Navarra, G. and Pirrotta, A. (2015), "Optimal tuning of tuned liquid column damper systems in random vibration by means of an approximate formulation", Meccanica, 50, 795-808. https://doi.org/10.1007/s11012-014-0051-6
  11. Diana, G., Resta, F., Sabato, D. and Tomasini, G. (2013), "Development of a methodology for damping of tall buildings motion using TLCD devices", Wind Struct., 17(6), 629-646. https://doi.org/10.12989/was.2013.17.6.629
  12. Gao, H., Kwok, K.C.S. and Samali, B. (1997), "Optimization of tuned liquid column dampers", Eng. Struct., 19(6), 476-486. https://doi.org/10.1016/S0141-0296(96)00099-5
  13. Ghosh, A. and Basu, B. (2007a), "Alternative approach to optimal tuning parameter of liquid column damper for seismic applications", J. Struct. Eng. - ASCE, 133(12), 1848-1852. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:12(1848)
  14. Ghosh, A. and Basu, B. (2007b), "A closed-form optimal tuning criterion for TMD in damped structures", Struct. Control Health Monit., 14(4), 681-692. https://doi.org/10.1002/stc.176
  15. Hitchcock, P.A., Kwok, K.C.S. and Watkins, R.D. (1997), "Characteristics of liquid column vibration absorbers (LCVA) -I", Eng. Struct., 19(2), 126-134. https://doi.org/10.1016/S0141-0296(96)00042-9
  16. Ioi, T. and Ikeda, K. (1978), "On the dynamic vibration damped absorber of the vibration system", Bull. JSME, 21, 64-71. https://doi.org/10.1299/jsme1958.21.64
  17. Konar, T. and Ghosh, A. (2010), "Passive control of seismically excited structures by the liquid column vibration absorber", Struct. Eng. Mech., 36(5), 561-573. https://doi.org/10.12989/sem.2010.36.5.561
  18. Lee, H.H. and Juang, H.H. (2012), "Experimental study on the vibration mitigation of offshore tension leg platform system with UWTLCD", Smart Struct. Syst., 9(1), 71-104. https://doi.org/10.12989/sss.2012.9.1.071
  19. Lee, S.K., Lee, H.R. and Min, K.W. (2012), "Experimental verification on nonlinear dynamic characteristic of a tuned liquid column damper subjected to various excitation amplitudes", Struct. Des. Tall Spec. Build., 21(5), 374-388. https://doi.org/10.1002/tal.606
  20. Liu, K. and Liu, J. (2005), "The damped dynamic vibration absorbers: Revisited and new result", J. Sound Vib., 284(3-5), 1181-1189. https://doi.org/10.1016/j.jsv.2004.08.002
  21. Min, K.W., Kim, Y.W. and Kim, J. (2015), "Analytical and experimental investigations on performance of tuned liquid column dampers with various orifices to wind-excited structural vibration", J. Wind Eng. Ind. Aerod., 139, 62-69. https://doi.org/10.1016/j.jweia.2015.01.014
  22. Ormondroyd, J. and Den Hartog, J.P. (1928), "The theory of the dynamic vibration absorber", T. ASME, 50, 9-22.
  23. Shum, K.M. (2009), "Closed form optimal solution of a tuned liquid column damper for suppressing harmonic vibration of structures", Eng. Struct., 31(1), 84-92. https://doi.org/10.1016/j.engstruct.2008.07.015
  24. Shum, K.M. (2015), "Tuned vibration absorbers with nonlinear viscous damping for damped structures under random load", J. Sound Vib., 346, 70-80. https://doi.org/10.1016/j.jsv.2015.02.003
  25. Shum, K.M., Kwok, K.C.S. and Hitchcock, P.A. (2011), "Closedform optimum liquid column vibration absorber parameters for base-excited damped structures", Adv. Struct. Eng., 14(3), 497-505.
  26. Taflanidis, A.A., Beck, J.L. and Angelides, D.C. (2007), "Robust reliability-based design of liquid column mass dampers under earthquake excitation using an analytical reliability approximation", Eng. Struct., 29(12), 3525-3537. https://doi.org/10.1016/j.engstruct.2007.08.004
  27. Tsai, H.C. and Lin, G.C. (1993), "Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems", Earthq. Eng. Struct. D., 22(11), 957-973. https://doi.org/10.1002/eqe.4290221104
  28. Warburton, G.B. (1982), "Optimal absorber parameters for various combinations of response and excitation parameters", Earthq. Eng. Struct. D., 10(3), 381-401. https://doi.org/10.1002/eqe.4290100304
  29. Wu, J.C. and Shen, Y.C. (2004), "Optimal parameters of tuned liquid column damper design for damped sdof wind-excited structures", Proceedings of the 3rd European conference on structural control, Vienna, Austria, 12-15 July 2004.
  30. Wu, J.C., Chang, C.H. and Lin Y.Y. (2009), "Optimal designs for non-uniform tuned liquid column dampers in horizontal motion", J. Sound Vib., 326, 104-122 https://doi.org/10.1016/j.jsv.2009.04.027
  31. Wu, J.C., Shih, M.H., Lin, Y.Y. and Shen, Y.C. (2005), "Design guidelines for tuned liquid column damper for structures responding to wind", Eng. Struct., 27(13), 1893-1905. https://doi.org/10.1016/j.engstruct.2005.05.009
  32. Wu, J.C., Wang, Y.P. and Chen Y.H. (2012), "Design tables and charts for uniform and non-uniform tuned liquid column dampers in harmonic pitching motion", Smart Struct. Syst., 9(2), 165-188. https://doi.org/10.12989/sss.2012.9.2.165
  33. Xu, Y.L., Samali, B. and Kwok, K.C.S. (1992), "Control of alongwind response of structures by mass and liquid dampers", J. Eng. Mech., 118(1), 20-39. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:1(20)
  34. Yalla, S.K. and Kareem, A. (2000), "Optimum absorber parameters for tuned liquid column dampers", J. Struct. Eng. -ASCE, 126(8), 906-915. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(906)