Abstract
The potential application of tuned liquid column damper (TLCD) for suppressing wind-induced vibration of long span bridges is explored in this paper. By installing the TLCD in the bridge deck, a mathematical model for the bridge-TLCD system is established. The governing equations of the system are developed by considering all three displacement components of the deck in vertical, lateral, and torsional vibrations, in which the interactions between the bridge deck, the TLCD, the aeroelastic forces, and the aerodynamic forces are fully reflected. Both buffeting and flutter analyses are carried out. The buffeting analysis is performed through random vibration approach, and a critical flutter condition is identified from flutter analysis. A numerical example is presented to demonstrate the control effectiveness of the damper and it is shown that the TLCD can be an effective device for suppressing wind-induced vibration of long span bridges, either for reducing the buffeting response or increasing the critical flutter wind velocity of the bridge.
Similar content being viewed by others
References
Atalik TS and Utku S (1976) “Stochastic Linearization of Multi-degree-of-freedom Non-linear Systems,” Earthquake Engrg. and Struct. Dyn., 4: 411–420.
Balendra T, Wang CM and Cheong HF (1995), “Effectiveness of Tuned Liquid Column Dampers for Vibration Control of Towers,” Engineering Structures, 17(9): 668–675.
Billah KY and Scanlan RH (1991) “Resonance, Tacoma Narrows Bridge Failure, and Undergraduate Physics Textbooks,” American J. of Physics, 59(2): 118–124.
Brancaleoni F and Brotton DM (1981) “Analysis and Prevention of Suspension Bridge Flutter in Construction,” Earthquake Engrg. and Struct. Dyn., 9: 489–500.
Chang CC, Hsu CT and Swei SM (1998) “Control of Buildings Using Single and Multiple Tuned Liquid Column Dampers,” Struct. Engrg. and Mech., 6(1): 77–93.
Chen AR, Xiang HF and Gu M (1993), “Vortex-induced Vibration Control of Bridges Using TMD,” Proc. 3rd Asia-Pacific Symp. on Wind Engrg., Hong Kong, 235–240.
Dyrbye C and Hansen SO (1997), Wind Loads on Structures, John Wiley & Sons.
Farquharson FB, Smith FC and Vincent GS (1949–1954), “Aerodynamic Stability of Suspension Bridges with Special Reference to the Tacoma Narrows Bridge,” University of Washington, Engineering Experiment Station Bulletin No. 116, Parts I to V.
Fujino Y (1993) “Recent Research and Developments on Wind-induced Vibrations and Control of Bridges in Japan,” Proc. 4th East Asia-Pacific Conf. on Struct. Engrg. & Construct., Seoul, Korea, Vol. I, 43–48.
Fujino Y, Sun LM, Pacheco BM and Chaiseri P (1992), “Tuned Liquid Damper (TLD) for Suppressing Horizontal Motion of Structures,” J. Engrg. Mech., ASCE, 118(10): 2017–2030.
Gu M, Chang CC, Wu W and Xiang HF (1998), “Increase of Critical Flutter Wind Speed of Long-span Bridges Using Tuned Mass Dampers,” J. Wind Engrg. and Induct. Aerodyn., 73:111–123.
Gu M, Xiang HF and Chen AR (1994) “A Practical Method of Passive TMD for Suppressing Wind-induced Vertical Buffeting of Long-span Cable-stayed Bridges and Its Application,” J. Wind Engrg. and Indust. Aerodyn., 51:203–213.
Idelchik IE (1994), Handbook of Hydraulic Rresistance, CRC Press, Inc., 3rd ed.
Iwan WD and Yang IM (1971) “Statistical Linearization for Nonlinear Structures,” J. Engrg. Mech. Div., ASCE, 97:1609–1623.
Kareem A (1983) “Mitigation of Wind Induced Motion of Tall Buildings,” J. Wind Engrg. and Industrial Aerodyn., 11:273–284.
Larose GL, Larsen A and Svensson E (1995), “Modelling of Tuned Mass Dampers for Wind-tunnel Tests on a Full-bridge Aeroelastic Model,” J. Wind Engrg. and Induct. Aerodyn., 54/55, 427–437.
Larsen A (1993), “Vortex-induced Response of Bridges and Control by Tuned Mass Dampers,” Structural Dynamics-EURODYN’93, Moan et al. (eds.), 1003–1010.
Larsen A (1997) “Prediction of Aeroelastic Stability of Suspension Bridges During Erection,” J. Wind Engrg. and Indust. Aerodyn., 72:265–274.
Larsen A, Svensson E and Andersen H (1995), “Design Aspects of Tuned Mass Dampers for the Great Belt East Bridge Approach Spans,” J. Wind Engrg. and Induct. Aerodyn., 54/55, 413–426.
Malhortra PK and Wieland P (1987), “Tuned Mass Damper for Suppressing Wind Effects in a Cable-stayed Bridge,” Proc. Int. Conf. on Cable-stayed Bridges, Bangkok, Thailand, 557–568.
Meirovitch L and Ghosh D (1987) “Control of Flutter in Bridges,” J. Engrg. Mech., ASCE, 113:720–736
Miyata T (1991), “Design Consideration for Wind Effects on Long-span Cable-stayed Bridges,” Cable-Stayed Bridges: Recent Developments and their Future, M. Ito et al. (eds.), Elsevier Science Publishers B. V., 235–256.
Miyata T, Yamada H and Kazama K (1997), “Discussion on Aeroelastic Detail and Control in the Flutter Occurrences of Long-span Bridges,” J. Wind Engrg. and Induct. Aerodyn., 69–71, 839–849.
Narita N and Yokoyama K (1991), “A Summarized Account of Damping Capacity and Measures Against Wind Action in Cable-stayed Bridges in Japan,” Cable-Stayed Bridges: Recent Developments and their Future, M. Ito et al.. (eds.), Elsevier Science Publishers B. V., 257–278.
NMI (1977), “Reports on the Aerodynamic Stability of the Humber Bridge in Erection Conditions,” NMI 89/0353 and NMI 89/0361.
Nobuto J, Fujino Y and Ito M (1988), “A Study on the Effectiveness of T.M.D. to Suppress a Coupled Flutter of Bridge Deck,” Proc. JSCE, No. 398/I-10, 413–416.
Rocard Y (1957), Dynamic Instability, Crosby, Lockwood and Son, London.
Sakai F, Takaeda S and Tamaki T (1989), “Tuned Liquid Column Damper — New Type Device for Suppression of Building Vibration,” Proc. int. Conf. on High-rise Buildings, Nanjing, China, 926–931.
Sakai F, Takaeda S and Tamaki T (1991), “Tuned Liquid Column Damper (TLCD) for Cable-stayed Bridges,” Proc. Specialty Conf. on Innovation in Cable-Stayed Bridges, Fukuoka, Japan, 197–205.
Samali B and Kwok KCS (1994), “Vibration Control Systems for Civil Engineering Structures in Australia — Actual Installations and State-of-the-art Research,” Proc. 2nd Int. Conf. on Motion and Vibration Control, Yokohama, Japan, k22–k35.
Samali B, Lee P and Kwok KCS (1992), “Wind-induced Vibration Control of Tall Buildings with Tuned Liquid Column Dampers,” Proc. 1st Int. Conf. on Motion and Vibration Control, Yokohama, Japan, 182–187.
Sarkar PP, Jones NP and Scanlan RH (1994), “Identification of Aeroelastic Parameters of Flexible Bridges,” J. Engrg. Mech. Div., ASCE, 120(8):1718–1742.
Scanlan RH (1992), “Wind Dynamics of Long-span Bridges,” Aerodynamics of Large Bridges, Larsen A. (ed.), Balkema, Rotterdam, 47–57.
Scanlan RH (1996) “Aerodynamics of Cable-supported Bridges,” J. Construct. Steel Res., 39(1):51–68.
Scanlan RH and Tomko JJ (1971) “Airfoil and Bridge Deck Flutter Derivatives,” J. Engrg. Mech. Div., ASCE, 97(EM6):1717–1737.
Simiu E and Scanlan RH (1996), Wind Effects on Structures: Fundamentals and Applications to Design, John Wiley & Sons, Inc., 3rd ed.
Soong TT and Dargush GF (1997), Passive Energy Dissipation Systems in Structural Engineering, John Wiley & Sons Ltd.
Tamura Y (1997), “Application of Damping Devices to Suppress Wind-induced Responses of Buildings,” Proc. 2nd European & African Conf. on Wind Engrg., Genova, Italy, 45–60.
Vincent GS (1958), “Golden Gate Bridge Vibration Studies,” J. Struct. Div., ASCE, 84(ST6), Paper 1817.
Wallace AAC (1985) “Wind Influence on Kessock Bridge,” Engrg. Struct., 7(1):18–22.
Wardlaw RL (1991), “Cable Supported Bridges Under Wind Action,” Cable-Stayed Bridges: Recent Developments and their Future, M. Ito et al. (eds.), Elsevier Science Publishers B. V., 213–234.
Wardlaw RL (1992), “The Improvement of Aerodynamic Performance,” Aerodynamics of Large Bridges, Larsen A. (ed.), Balkema, Rotterdam, 59–70.
Won AYJ, Pires JA and Haroun MA (1996), “Stochastic Seismic Performance Evaluation of Tuned Liquid Column Dampers,” Earthquake Engrg. and Structural Dyn., 25:1259–1274.
Xu YL, Samali B and Kwok KCS (1992) “Control of Along-wind Response of Structures by Mass and Liquid Dampers,” J. Engrg. Mech., ASCE, 118(1):20–39.
Xue SD (1999), “Torsional Vibration Control of Suspension Bridge Decks Using Tuned Liquid Column Damper,” Ph.D. thesis, The Hong Kong Polytechnic University, Hong Kong.
Xue SD, Ko JM and Xu YL (2000) “Tuned Liquid Column Damper for Suppressing Pitching Motion of Structures,” Engineering Structures, 22(11):1538–1551.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xue, S., Ko, J.M. & Xu, Y.L. Wind-induced vibration control of bridges using liquid column damper. Earthq. Engin. Engin. Vib. 1, 271–280 (2002). https://doi.org/10.1007/s11803-002-0072-3
Issue Date:
DOI: https://doi.org/10.1007/s11803-002-0072-3