Abstract
Liquid dampers are attractive for engineering applications to suppress undesired vibration resulting from wind, wave and earthquake excitation. This is particularly relevant to tuned liquid column dampers due to their high volumetric efficiency, consistent behaviour and nonlinear but quantifiable damping mechanism. The paper investigates instantaneous dynamic parameters of such dampers. A simplified analytical model, numerical simulations and experimental work are undertaken to reveal time-variant behaviour of natural frequency and damping. The major focus is on experimental analysis and wavelet identification. The latter is based on the concept of wavelet ridges and the Crazy Climbers optimisation algorithm.
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References
El-Sayad, M.A., Hanna, S.N., Ibrahim, R.A.: Parametric excitation of nonlinear elastic systems involving hydrodynamic sloshing impact. Nonlinear Dyn. 18(1), 25–50 (1999)
Ikeda, T.: Nonlinear parametric vibrations of an elastic structure with a rectangular liquid tank. Nonlinear Dyn. 33(1), 43–70 (2003)
Saoka, Y., Sakai, F., Takaeda, S., Tamaki, T.: On the suppression of vibrations by tuned liquid column dampers, In: Annual Meeting of JSCE. JSCE, Tokyo (1988)
Sakai, F., Takaeda, S., and Tamaki, T.: Tuned liquid column damper-new type device for suppression of building vibration, In: International Conference on High-Rise Building, pp. 926–31. (1989)
Sakai, F., Takaeda, S., Tamaki, T.: Tuned liquid column dampers (TLCD) for cable-stayed bridges. In: Proceeding, pp. 197–205. Bridges, Specialty Conference Innovation in Cable-Stayed (1991)
Xu, Y.L., Kwok, K.C.S., Samali, B.: The effect of tuned mass dampers and liquid dampers on cross-wind response of tall/slender structures. J. Wind Eng. Ind. Aerodyn. 40(1), 33–54 (1992)
Balendra, T., Wang, C.M., Cheong, H.F.: Effectiveness of tuned liquid column dampers for vibration control of towers. Eng. Struct. 17(9), 668–675 (1995)
Shum, K.M., Xu, Y.L.: Multiple tuned liquid column dampers for reducing coupled lateral and torsional vibration of structures. Eng. Struct. 26(6), 745–758 (2004)
Min, K.-W., Park, E.-C.: Dynamic characteristics of tuned liquid column dampers using shaking table test. Trans. Korean Soc. Noise Vib. Eng. 19(6), 620–627 (2009)
Wu, J.C., Shih, M.H., Lin, Y.Y., Shen, Y.C.: Design guidelines for tuned liquid column damper for structures responding to wind. Eng. Struct. 27(13), 1893–1905 (2005)
Haroun, A.W.M.A., Pires, J.A.: Active orifice control in hybrid liquid column dampers. In: First World Conference on Structural Control, 1, pp. 69–78. (1994)
Sun, L.M., Fujino, Y.: A semi-analytical model for tuned liquid damper (TLD) with wave breaking. J. Fluids Struct. 8(5), 471–488 (1994)
Won, A.Y.J., Pires, J.A., Haroun, M.A.: Stochastic seismic performance evaluation of tuned liquid column dampers. Earthq. Eng. Struct. Dyn. 25(11), 1259–1274 (1996)
Yalla, S.K., Kareem, A.: Optimum absorber parameters for tuned liquid column dampers. J. Struct. Eng. 126(8), 906–915 (2000)
Sadek, F., Mohraz, B., Lew, H.S.: Single- and multiple-tuned liquid column dampers for seismic applications. Earthq. Eng. Struct. Dyn. 27(5), 439–463 (1998)
Reiterer, M., Ziegler, F.: Bi-axial seismic activation of civil engineering structures equipped with tuned liquid column dampers. J. Seismol. Earthq. Eng. 7(1), 45–60 (2005)
Ghosh, A., Basu, B.: Alternative approach to optimal tuning parameter of liquid column damper for seismic applications. J. Struct. Eng. 133(12), 1848 (2007)
Debbarma, R., Chakraborty, S., Ghosh, Kumar S.: Optimum design of tuned liquid column dampers under stochastic earthquake load considering uncertain bounded system parameters. Int. J. Mech. Sci. 52(10), 1385–1393 (2010)
Chakraborty, S., Debbarma, R., Marano, G.C.: Performance of tuned liquid column dampers considering maximum liquid motion in seismic vibration control of structures. J. Sound Vib. 331(7), 1519–1531 (2012)
Gao, H., Kwok, K.C.S., Samali, B.: Optimization of tuned liquid column dampers. Eng. Struct. 19(6), 476–486 (1997)
Hitchcock, P.A., Kwok, K.C.S., Watkins, R.D., Samali, B.: Characteristics of liquid column vibration absorbers (LCVA)–I. Eng. Struct. 19(2), 126–134 (1997)
Wu, J.C., Chang, C.H., Lin, Y.Y.: Optimal designs for non-uniform tuned liquid column dampers in horizontal motion. J. Sound Vib. 326(1–2), 104–122 (2009)
Konar, T., Ghosh, A.: Passive control of seismically excited structures by the liquid column vibration absorber. Struct. Eng. Mech. 36(5), 561–573 (2010)
Kareem, A.: Liquid tuned mass dampers: past, present and future. In: Proceedings of the 7th U.S. National Conference on Wind Engineering, Los Angeles, vol. 7. (1993)
Rozas, L., Boroschek, R.L., Tamburrino, A., Rojas, M.: A bidirectional tuned liquid column damper for reducing the seismic response of buildings. Struct. Control Heal. Monit. 23(4), 621–640 (2016)
Chakraborty, S., Debbarma, R.: Stochastic earthquake response control of structures by liquid column vibration absorber with uncertain bounded system parameters. Struct. Saf. 33(2), 136–144 (2011)
Konar, T., Ghosh, A.: Bimodal vibration control of seismically excited structures by the liquid column vibration absorber. J. Vib. Control 19(3), 385–394 (2013)
Battista, R.C., Carvalho, E.M.L., de Souza, Almeida R.: Hybrid fluid-dynamic control devices to attenuate slender structures oscillations. Eng. Struct. 30(12), 3513–3522 (2008)
Al-saif, K.A., Aldakkan, K.A., Foda, M.A.: International journal of mechanical sciences modified liquid column damper for vibration control of structures. Int. J. Mech. Sci. 53(7), 505–512 (2011)
Sarkar, A., Gudmestad, O.T.: Pendulum type liquid column damper (PLCD) for controlling vibrations of a structure–Theoretical and experimental study. Eng. Struct. 49, 221–233 (2013)
Ghosh, A., Basu, B.: Seismic vibration control of short period structures using the liquid column damper. Eng. Struct. 26(13), 1905–1913 (2004)
Ghosh, A., Basu, B.: Effect of soil interaction on the performance of liquid column dampers for seismic applications. Earthq. Eng. Struct. Dyn. 34(11), 1375–1389 (2005)
Ghosh, A., Basu, B.: Seismic vibration control of nonlinear structures using the liquid column damper. J. Struct. Eng. 134(1), 146–153 (2008)
Hochrainer, M.J.: Tuned liquid column damper for structural control. Acta Mech. 175(1–4), 57–76 (2005)
Shum, K.M., Xu, Y.L., Guo, W.H.: Wind-induced vibration control of long span cable-stayed bridges using multiple pressurized tuned liquid column dampers. J. Wind Eng. Ind. Aerodyn. 96(2), 166–192 (2008)
Balendra, T., Wang, C.M., Yan, N.: Control of wind-excited towers by active tuned liquid column damper. Eng. Struct. 23(9), 1054–1067 (2001)
De Souza, S.L.T., Caldas, I.L., Viana, R.L., Balthazar, J.M., Brasil, R.M.L.R.F.: Dynamics of vibrating systems with tuned liquid column dampers and limited power supply. J. Sound Vib. 289(4–5), 987–998 (2006)
Yalla, S.K., Kareem, A.: Semiactive tuned liquid column dampers: experimental study. J. Struct. Eng. 129(7), 960–971 (2003)
Kim, H., Adeli, H.: Wind-induced motion control of 76-story benchmark building using the hybrid damper-TLCD system. J. Struct. Eng. 131, 1794–1802 (2005)
Sakamoto, D., Oshima, N., Fukuda, T.: Tuned sloshing damper using electro-rheological fluid. Smart Mater. Struct. 10(5), 963–969 (2001)
Ni, Y.Q., Ying, Z.G., Wang, J.Y., Ko, J.M., Spencer, B.F.: Stochastic optimal control of wind-excited tall buildings using semi-active MR-TLCDs. Probabilist. Eng. Mech. 19(3), 269–277 (2004)
Wang, J.Y., Ni, Y.Q., Ko, J.M., Spencer, B.F.: Magneto-rheological tuned liquid column dampers (MR-TLCDs) for vibration mitigation of tall buildings: modelling and analysis of open-loop control. Comput. Struct. 83(25–26), 2023–2034 (2005)
Colwell, S., Basu, B.: Tuned liquid column dampers in offshore wind turbines for structural control. Eng. Struct. 31(2), 358–368 (2009)
Ghosh, A.: A study on liquid dampers for aseismic design of structures. PhD Thesis, Jadavpur University, India, (2003)
Denman, H.H.: Time-translation invariance for certain dissipative classical systems. Am. J. Phys. 36(6), 516–519 (1968)
Cvetićanin, L.: Oscillator with strong quadratic damping force. Publ. l’Institut Math. 85(99), 119–130 (2009)
Worden, K., Tomlinson, G.R.: Nonlinearity in Structural Dynamics. IOP Publishing Ltd, Bristol (2001)
Smith, C.B., Wereley, N.M.: Nonlinear Damping Identification from Transient Data. AIAA J. 37(12), 1625–1632 (1999)
Den Hartog, J.P.: Mechanical Vibrations, vol. 4. Addison-Wesley Reading, Boston (1985)
Yang, Y., Peng, Z.K., Dong, X.J., Zhang, W.M., Meng, G.: Nonlinear time-varying vibration system identification using parametric time-frequency transform with spline kernel. Nonlinear Dyn. 85(3), 1679–1694 (2016)
Staszewski, W. J.: Wavelets for Mechanical and Structural Damage Identification. In: Polish Academy of Sciences, IMP PAN, (2000)
Staszewski, W.J.: Identification of damping in mdof systems using time-scale decomposition. J. Sound Vib. 203(2), 283–305 (1997)
Staszewski, W.J.: Identification of non-linear systems using multi-scale ridges and Skeletons of the wavelet transform. J. Sound Vib. 214(4), 639–658 (1998)
Staszewski, W.J., Wallace, D.M.: Wavelet-based frequency response function for time-variant systems-an exploratory study. Mech. Syst. Signal Process. 47(1–2), 35–49 (2014)
Carmona, R., Hwang, W.L., Torrésani, B.: Practical Time-Frequency Analysis: continuous wavelet and Gabor transforms, with an implementation in S, vol. 9. Academic Press, Incorporated, New York (1998)
Carmona, R.A., Hwang, W.L., Torrésani, B.: Multiridge detection and time-frequency reconstruction. IEEE Trans. Signal Process. 47(2), 480–492 (1999)
Feldman, M.: Non-linear system vibration analysis using Hilbert transform-I. Free vibration analysis method Freevib. Mech. Syst. Signal Process. 8(2), 119–127 (1994)
Feldman, M.: Hilbert Transform Applications in Mechanical Vibration, vol. 25. John Wiley and Sons, London (2011)
Inman, D.J.: Engineering Vibration, vol. 3. Prentice Hall Upper Saddle River, Upper Saddle River (2001)
Ruzzene, M., Fasana, A., Garibaldi, L., Piombo, B.: Natural frequencies and dampings identification using wavelet transform: application to real data. Mech. Syst. Signal Process. 11(2), 207–218 (1997)
Acknowledgements
The work presented in this paper was supported by funding from the WELCOME research Project No. 2010-3/2, sponsored by the Foundation for Polish Science (Innovative Economy, National Cohesion Programme, EU).
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Dziedziech, K., Staszewski, W.J., Ghosh, A. et al. Characterisation of instantaneous dynamic parameters in vibration analysis of tuned liquid column dampers. Nonlinear Dyn 90, 717–731 (2017). https://doi.org/10.1007/s11071-017-3690-z
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DOI: https://doi.org/10.1007/s11071-017-3690-z