Efficiency of an External Damper in Two-Cable Hybrid Systems
Publication: Journal of Bridge Engineering
Volume 23, Issue 2
Abstract
External dampers are commonly used on site to control excessive cable vibrations on cable-stayed bridges. The optimum damper size and the corresponding maximum attainable damping ratio of a damped cable can be predicted using existing design tools, such as the universal damping estimation curve. However, because an external damper is typically installed very close to the cable anchorage on the bridge deck, its effectiveness in suppressing vibrations of relatively long cables would be limited. The hybrid system solution can overcome this limitation by interconnecting a damped cable with its neighboring ones with transverse crossties to enhance its in-plane stiffness. However, when a single damped cable becomes a part of a hybrid system, its bending stiffness and sag would be altered, thus having an impact on the optimum damper size and the maximum achievable damping ratio. The current study evaluated how the configuration change of a damped cable from an isolated one to be a part of a hybrid system would affect its damping property. After a brief review of an analytical model of two-cable hybrid systems, a parametric study to investigate how variation in the crosstie stiffness and the spacing between the crosstie and the damper would influence the damping property of a hybrid system is presented. Damping estimation equations for predicting the optimum damper size and the corresponding maximum attainable damping ratio of two-cable hybrid systems are presented. The validity and applicability of the proposed damping estimation equations were examined using 12 symmetric and 12 asymmetric two-cable hybrid systems, the system parameters of which were taken as the same as those on real cable-stayed bridges. Results show that the proposed damping estimation equations can provide satisfactory prediction of the optimum damper size and the corresponding maximum achievable damping ratio for two-cable hybrid systems having different system properties and layouts. Numerical examples are presented to illustrate the application of the proposed damping estimation equations in the practical design of hybrid systems.
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Acknowledgments
The authors are grateful to the Natural Sciences and Engineering Research Council of Canada (NSERC) for supporting this project.
References
Ahmad, J. (2016). “In-plane dynamic behaviour of conventional and hybrid cable network systems on cable-stayed bridges.” Ph.D. thesis,Dept. of Civil and Environmental Engineering,Univ. of Windsor,Windsor, ON, Canada.
Ahmad, J., and Cheng, S. (2013). “Effect of cross-link stiffness on the in-plane free vibration behaviour of a two-cable network.” Eng. Struct.,52, 570–580.
Ahmad, J., and Cheng, S. (2015). “Analytical study on in-plane free vibration of a cable network with straight alignment rigid cross-ties.” J. Vib. Control,21(7), 1299–1320.
Ahmad, J., Cheng, S., and Ghrib, F. (2014). “An analytical approach to evaluate damping property of orthogonal cable networks.” Eng. Struct.,75, 225–236.
Ahmad, J., Cheng, S., and Ghrib, F. (2016). “Effect of the number of cross-tie lines on the in-plane stiffness and modal behavior classification of orthogonal cable networks with multiple lines of transverse flexible cross-ties.” J. Eng. Mech., 04015106.
Caracoglia, L., and Jones, N. P. (2005a). “In-plane dynamic behavior of cable networks. Part 1: Formulation and basic solutions.” J. Sound Vib.,279(3–5), 969–991.
Caracoglia, L., and Jones, N. P. (2005b). “In-plane dynamic behavior of cable networks. Part 2: Prototype prediction and validation.” J. Sound Vib.,279(3–5), 993–1014.
Caracoglia, L., and Jones, N. P. (2007a). “Passive hybrid technique for the vibration mitigation of systems of interconnected stays.” J. Sound Vib.,307(3–5), 849–864.
Caracoglia, L., and Jones, N. P. (2007b). “Damping of taut-cable systems: Two dampers on a single stay.” J. Eng. Mech., 1050–1060.
Caracoglia, L., and Zuo, D. (2009). “Effectiveness of cable networks of various configurations in suppressing stay-cable vibration.” Eng. Struct.,31(12), 2851–2864.
Cheng, S., Darivandi, N., and Ghrib, F. (2010). “The design of an optimal viscous damper for a bridge stay cable using energy-based approach.” J. Sound Vib.,329(22), 4689–4704.
Ehsan, F., and Scanlan, R. H. (1989). “Damping stay cables with ties.” Proc., 5th US-Japan Bridge Workshop,Public Works Research Institute,Tsukuba, Japan, 203–217.
Fournier, J. A., and Cheng, S. (2014). “Impact of damper stiffness and damper support stiffness on the efficiency of a linear viscous damper in controlling stay cable vibrations.” J. Bridge Eng., 04013022.
Fujino, Y., and Hoang, N. (2008). “Design formulas for damping of a stay cable with a damper.” J. Struct. Eng., 269–278.
Giaccu, G. F., Barbiellini, B., and Caracoglia, L. (2015a). “Stochastic unilateral free vibration of an in-plane cable network.” J. Sound Vib.,340, 95–111.
Giaccu, G. F., Barbiellini, B., and Caracoglia, L. (2015b). “Parametric study on the nonlinear dynamics of a three-stay cable network under stochastic free vibration.” J. Eng. Mech., 04014166.
Hoang, N., and Fujino, Y. (2007). “Analytical study on bending effects in a stay cable with a damper.” J. Eng. Mech., 1241–1246.
Huang, L. (2011). “Experimental study on bridge stay cable vibration mitigation using external viscous damper.” M.S. thesis,Dept. of Civil and Environmental Engineering,Univ. of Windsor,Windsor, ON, Canada.
Huang, Z., and Jones, N. P. (2011). “Damping of taut-cable systems: Effects of linear elastic spring support.” J. Eng. Mech., 512–518.
Kovacs, I. (1982). “Zurfrage der seilschwingungen und der seildampfung.” Bautechnik,10, 325–332 (in German).
Krenk, S. (2000). “Vibrations of a taut cable with an external damper.” J. Appl. Mech.,67(4), 772–776.
Krenk, S., and Høgsberg, J. R. (2005). “Damping of cables by a transverse force.” J. Eng. Mech., 340–348.
Krenk, S., and Nielsen, S. R. K. (2002). “Vibrations of a shallow cable with a viscous damper.” Proc. R. Soc. London, Ser. A,458(2018), 339–357.
Main, J. A., and Jones, N. P. (2003). “Influence of rubber bushings on stay-cable damper effectiveness.” Proc., 5th Int. Symp. on Cable Dynamics,Association of Engineers from the Montefiore Electrical Institute (AIM),Liège, Belgium, 445–452.
Pacheco, B. M., Fujino, Y., and Sulekh, A. (1993). “Estimation curve for modal damping in stay cables with viscous damper.” J. Struct. Eng., 1961–1979.
Sun, L., Shi, C., Zhou, H., and Cheng, W. (2004). “A full-scale experiment on vibration mitigation of stay cable.” Proc., IABSE Symp., Shanghai 2004: Metropolitan Habitats and Infrastructure,International Association for Bridge and Structural Engineering,Zurich, Switzerland, 31–36.
Tabatabai, H. and Mehrabi, A. B. (1998). “Non-destructive bridge evaluation technology: Bridge stay cable condition assessment.” Final Rep. Prepared for Federal Highway Administration,Construction Technology Laboratories,Skokie, IL.
Tabatabai, H., and Mehrabi, A. B. (2000). “Design of mechanical viscous dampers for stay cables.” J. Bridge Eng., 114–123.
Takano, H., Ogasawara, M., Ito, N., Shimosato, T., Takeda, K., and Murakami, T. (1997). “Vibrational damper for cables of the Tsurumi Tsubasa Bridge.” J. Wind Eng. Ind. Aerodyn.,69–71, 807–818.
Uno, K., Kitagawa, S., Tsutsumi, H., Inoue, A., and Nakaya, S. (1991). “A simple method of designing cable vibration dampers of cable-stayed bridges.” J. Struct. Engrg. Jap. Soc. Civ. Eng.,6(1), 167–178.
Xu, Y. L., and Yu, Z. (1998). “Mitigation of three-dimensional vibration of inclined sag cable using discrete oil dampers—II. Application.” J. Sound Vib.,214(4), 675–693.
Xu, Y. L., and Zhou, H. J. (2007). “Damping cable vibration for a cable-stayed bridge using adjustable fluid dampers.” J. Sound Vib.,306(1–2), 349–360.
Yoneda, M., and Maeda, K. (1989). “A study on practical estimation method for structural damping of stay cable with damper.” Proc., Canada-Japan Workshop on Bridge Aerodynamics,National Research Council of Canada,Ottawa, Canada, 119–128.
Zhou, H. (2005). “Analytical and experimental studies on vibration control of stay cables.” Ph.D. thesis,Tongji Univ.,Shanghai, China.
Zhou, H., Yang, X., Sun, L., and Xing, F. (2015). “Free vibrations of a two-cable network with near-support dampers and a cross-link.” Struct. Control Health Monit.,22(9), 1173–1192.
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Published In
Journal of Bridge Engineering
Volume 23 • Issue 2 • February 2018
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Feb 20, 2017
Accepted: Aug 21, 2017
Published online: Dec 8, 2017
Published in print: Feb 1, 2018
Discussion open until: May 8, 2018
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