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Nonlinear Characteristic of a Tuned Liquid Column Damper under Various Excitation Amplitude

가진입력의 크기에 따른 동조액체기둥감쇠기의 비선형 특성

  • Published : 2009.11.20

Abstract

The objective of this study is to investigate design parameters of a tuned liquid column damper(TLCD), which is affected by various excitation amplitude, through shaking table test. Design parameters of a TLCD are examined based on the equivalent tuned mass damper(TMD) model of a TLCD, in which the nonlinear damping of a TLCD is transposed to equivalent viscous damping. Shaking table test is carried out for a TLCD specimen subjected to harmonic waves with various amplitude. Transfer functions are ratios of liquid displacement of TLCD and control force produced by a TLCD, respectively, with respect to the acceleration excited by a shaking table. They are derived based on the equivalent TMD model of a TLCD. Then, the variation of design parameters according to the excitation amplitude is examined by comparing analytical transfer functions with experimental ones. Finally, the dissipation energy due to the damping of a TLCD, which is experimentally observed from the shaking table test, is examined according to the excitation amplitude. Comparisons between test results and analytical transfer functions showed that natural frequencies of TLCD and the ratio of the liquid mass in a horizontal column to the total liquid mass do not depend on the excitation amplitude, while the damping ratio of a TLCD increases with larger excitation amplitude.

Keywords

References

  1. Sun, L. M., Fujino, Y., Pacheco, B. M. and Chairseri, P., 1992, 'Modeling of Tuned Liquid Damper(TLD),' Journal of Wind Engineering and Industrial Aerodynamics, 41-44, pp. 1883-1894
  2. Reed, D., Yeh, H., Yu, J. K. and Gardarsson, S., 1998, 'Tuned Liquid Dampers under Large Amplitude Excitation,' Journal of Wind Engineering and Industrial Aerodynamics, 74-76, pp. 923-930 https://doi.org/10.1016/S0167-6105(98)00084-1
  3. Soong, T. T. and Dargush, G. F., 1997, 'Passive Energy Dissipation Systems in Structural Enginnering,' JOHN WILEY & SONS, New York
  4. Yu, J. K., Wakahara, T. and Reed, D. A., 1999, 'A Non-linear Numerical Model of The Tuned Liquid Damper,' Earthquake Engineering and Structural Dynamics, Vol. 28, pp. 671-686 https://doi.org/10.1002/(SICI)1096-9845(199906)28:6<671::AID-EQE835>3.0.CO;2-X
  5. Yalla, S. K., 2001, 'Liquid Dampers for Mitigation of Structural Response : Theoretical Develoment and Experimental Validation,' Doctoral dissertation, Department of Civil Engineering and Geological Sciences, University of Notre Dame
  6. Olson, D. E. and Reed, D. A., 2001, 'A Nonlinear Numerical Model for Sloped-bottom Tuned Liquid Dampers,' Earthquake Engineering and Strucural Dynamics, Vol. 30, pp. 731-743 https://doi.org/10.1002/eqe.34
  7. Woo, S. S., Lee, S. H., Choi, K. Y., Chung, L. and Park, T. W., 2008, 'Nonlinear Characteristics Evaluation of Tuned Liquid Damper with White Noise Amplitude,' Journal of the Computational Structural Engineering Institute of Korea, Vol. 21, No. 2, pp. 135-143
  8. Sakai, F., Takaeda, S. and Tamaki, T., 1989, 'Tunes Liquid Column Damper-new Type Device for Suppression of Building Vibration,' Proc. International Conference on High-rise Building, pp. 926-931
  9. You, K. P., You, J. Y., Song, C. H. and Kim, Y. M., 2009, 'A Study on the Orifice Damping Characteristics of Tuned Liquid Column Damper with Various Excitation Amplitude,' Journal of The Architectural Institute of Korea : Structure & Construction, Vol. 25, No. 6, pp. 41-48
  10. Min, K. W. and Park, E. C., 2009, 'Dynamic Characteristics of Tuned Liquid Using Shaking Table Test,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 19, No. 6, pp. 620-627 https://doi.org/10.5050/KSNVN.2009.19.6.620
  11. Caughey, T. K., 1963, 'Equivalent Linearization Techniques,' Journal of Acoustical Society of America, Vol. 35, No. 11, pp. 1706-1711 https://doi.org/10.1121/1.1918794
  12. Iwan, W. D. and Yang, I., 1972, 'Application of Statistical Linearization Techniques to Non-linear Multi-degree of Freedom Systems,' Journal of Applied Mechanics, Vol. 39, No. 2, pp. 545~550 https://doi.org/10.1115/1.3422714
  13. Wen, Y. K., 1980, 'Equivalent Linearization for Hysteretic Systems under Random Excitation,' Journal of Applied Mechanics, Vol. 47, pp. 150-154 https://doi.org/10.1115/1.3153594
  14. Xu, Y. L., Samali, B. and Kwok, K. C. S., 1992, 'Control of Along-wind Response of Structures by Mass and Liquid Dampers,' Journal of Engineering Mechanics, Vol. 118, No. 1, pp. 20-39 https://doi.org/10.1061/(ASCE)0733-9399(1992)118:1(20)
  15. Chang, C. C. and Hsu, C. T., 1998, 'Control Performance of Liquid Column Vibration Absorbers,' Engineering Structures, Vol. 20, No. 7, pp. 580-586 https://doi.org/10.1016/S0141-0296(97)00062-X
  16. Yalla, S. K. and Kareem, A., 2000, 'Optimum Absorber Parameters for Tuned Liquid Column Dampers,' ASCE Journal of Structural Engineering, Vol. 126, No. 8, pp. 906-915 https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(906)
  17. Gao, H., Kwok, K. C. S. and Samali, B., 1997, 'Optimization of Tuned Liquid Column Dampers,' Engineering Structures, Vol. 19, No. 6, pp. 476-486 https://doi.org/10.1016/S0141-0296(96)00099-5
  18. 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,' Engineering Structures, Vol. 27, No. 13, pp. 1893-1905 https://doi.org/10.1016/j.engstruct.2005.05.009
  19. The MathWorks, Inc., 2007, 'Real-time Windows Target 3 User's Guide, MATLABSIMULINK, The MathWorks, Inc
  20. Chopra, A. K., 1995, 'Dynamics of Structures : Theory and Applications to Earthquake Engineering,' Prentice Hall