Optimum Absorber Parameters for Tuned Liquid Column Dampers
Publication: Journal of Structural Engineering
Volume 126, Issue 8
Abstract
Tuned liquid column dampers (TLCDs) are a class of tuned liquid dampers that impart indirect damping to the primary structure through oscillations of the liquid column in a U-shaped container. The energy dissipation in the water column results from the passage of the liquid through an orifice with inherent head-loss characteristics. The overall damping in a TLCD depends on the head-loss coefficient and the velocity of the oscillating liquid, and it is nonlinear due to the quadratic damping term. Using the TLCD theory and the equivalent linearization scheme, a new approach has been developed that helps to compute the optimum head-loss coefficient for a given level of wind or seismic excitation in a single step, without resorting to iterations. The optimal damping coefficient and tuning ratio of a TLCD using a single degree of freedom system under the white noise and a set of filtered white noise excitations representing wind and seismic loadings is presented. Optimum values of damping have also been investigated for multiple TLCDs. An example is presented to demonstrate the performance of multiple TLCDs in controlling multiple modes under wind excitation.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abé, M., Kimura, S., and Fujino, Y. (1996). “Control laws for semi-active tuned liquid column damper with variable orifice opening.” Proc., 2nd Int. Workshop on Struct. Control, International Association for Structural Control, Hong Kong.
2.
Balendra, T., Wang, C. M., and Cheong, H. F. (1995). “Effectiveness of tuned liquid column dampers for vibration control of towers.” Engrg. Struct., 17(9), 668–675.
3.
Bergman, L. A., McFarland, D. M., Hall, J. K., Johnson, E. A., and Kareem, A. (1989). “Optimal distribution of tuned mass dampers in wind sensitive structures.” Proc., 5th Int. Conf. on Struct. Safety and Reliability, ASCE, New York.
4.
Blevins, R. D. (1984). Applied fluid dynamics handbook, Van Nostrand Reinhold, New York.
5.
Clough, R. W., and Penzien, J. (1993). Dynamics of structures, 2nd Ed., McGraw-Hill, New York.
6.
Den Hartog, J. P. (1956). Mechanical vibrations, 4th Ed., McGraw-Hill, New York.
7.
Gao, H., Kwok, K. C. S., and Samali, B. (1987). “Optimization of tuned liquid column dampers.” Engrg. Struct., 19(6), 476–486.
8.
Grace, A. (1992). MATLAB optimization toolbox user's guide, Math-Works Inc., Natick.
9.
Gurley, K., and Kareem, A. (1994). “On the analysis and simulation of random processes utilizing higher order spectra and wavelet transforms.” Proc., 2nd Int. Conf. on Computational Stochastic Mech., Balkema, Amsterdam.
10.
Ioi, T., and Ikeda, K. (1978). “On the dynamic vibration damped absorber of the vibration system.” Bull. Japanese Soc. of Mech. Engrg., Tokyo, 21(151), 64–71.
11.
Kareem, A. (1981). “Wind-excited response of buildings in higher modes.”J. Struct. Div., ASCE, 107(4), 701–706.
12.
Kareem, A. (1983). “Mitigation of wind induced motion of tall buildings.” J. Wind Engrg. and Industrial Aerodynamics, 11, 273–284.
13.
Kareem, A. (1984). “Model for predicting the across wind response of buildings.” Engrg. Structures, 6, 136–141.
14.
Kareem, A. (1993). “Liquid tuned mass dampers: Past, present and future.” Proc., 7th U.S. Nat. Conf. on Wind Engrg., Wind Engineering Research Council, Vol. I.
15.
Kareem, A., and Kline, S. (1995). “Performance of multiple mass dampers under random loading.”J. Struct. Engrg., ASCE, 121(2), 348–361.
16.
Kijewski, T., Kareem, A., and Tamura, Y. (1998). “Overview of methods to mitigate the response of wind-sensitive structures.” Proc., Struct. Engrs. World Congr., Elsevier.
17.
Li, Y., and Kareem, A. (1990). “Recursive modeling of dynamic systems.”J. Engrg. Mech., ASCE, 116(3), 660–679.
18.
McNamara, R. J. (1977). “Tuned mass dampers for buildings,”J. Struct. Div., ASCE, 103(9), 1785–1798.
19.
Rana, R., and Soong, T. T. (1998). “Parametric study and simplified design of tuned mass dampers.” Engrg. Struct., 20(3), 193–204.
20.
Randall, S. E., Halsted, D. M., and Taylor, D. L. (1981). “Optimum vibration absorbers for linear damped systems.” J. Mech. Des., 103, 908–913.
21.
Roberts, J. B., and Spanos, P. D. (1990). Random vibration and statistical linearization, Wiley, New York.
22.
Sakai, F., and Takaeda, S. (1989). “Tuned liquid column damper—New type device for suppression of building vibrations.” Proc., Int. Conf. on High Rise Build., Nanjing, China, 926–931.
23.
Soong, T. T., and Dargush, G. F. (1997). Passive energy dissipation systems in structural engineering, Wiley, New York.
24.
Warburton, G. B. (1982). “Optimal absorber parameters for various combination of response and excitation parameters.” Earthquake Engrg. and Struct. Dyn., 10, 381–401.
25.
Warburton, G. B., and Ayorinde, E. O. (1980). “Optimum absorber parameters for simple systems.” Earthquake Engrg. and Struct. Dyn., 8, 197–217.
26.
Xu, Y. L., Samali, B., and Kwok, K. C. S. (1992). “Control of along-wind response of structures by mass and liquid dampers.”J. Engrg. Mech., ASCE, 118(1), 20–39.
27.
Yalla, S. K., and Kareem, A. (1998). “Optimal parameters for TLCDs.” Tech. Rep. No. NDCE 98-002, Dept. of Civ. Engrg. and Geological Sci., University of Notre Dame, Notre Dame, Ind.
28.
Yalla, S. K., Kareem, A., and Kantor, J. C. (1998). “Semi-active control strategies for tuned liquid column dampers to reduce wind and seismic response of structures.” Proc., 2nd World Conf. on Struct. Control.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 126 • Issue 8 • August 2000
Pages: 906 - 915
History
Received: Feb 17, 1999
Published online: Aug 1, 2000
Published in print: Aug 2000
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.