Rain-Wind-Induced In-Plane and Out-of-Plane Vibrations of Stay Cables
Publication: Journal of Engineering Mechanics
Volume 139, Issue 12
Abstract
A theoretical model of in-plane and out-of-plane rain-wind-induced vibrations (RWIVs) of stay cables is developed in this paper. The proposed scheme models the cable, akin to sectional models of a bridge deck, as a segmental rigid element with two degrees of freedom (DOF) (in plane and out of plane) and the rivulet as a single DOF oscillator. The interaction between the cable surface and the water rivulet is first analyzed by using a wetting theory, which suggests a combined application of linear and Coulomb damping forces between the rivulet and the cable. Based on the model, the response of the combined cable-rivulet system is numerically evaluated. The results show that the in-plane and out-of-plane DOF of the cable are coupled. For the equilibrium of the rivulet on the cable surface, the gravitational and aerodynamic forces on the rivulet have similar time-averaged values with opposite signs. The interaction between the cable surface and the rivulet leads to energy dissipation, which helps to stabilize the rivulet. Like galloping, RWIV appears to be triggered by a sudden drop in the mean aerodynamic force coefficient. However, it is not a divergent type of vibration because the rivulet oscillates on the cable surface and its equilibrium position changes with wind velocity. Finally, the turbulence effect on the RWIVs is investigated. As the longitudinal turbulence intensity approaches 15%, the RWIV abates concomitantly.
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Acknowledgments
This project was jointly supported by the National Natural Science Foundation (50708035) and the Chinese Postdoctoral Science Foundation (20060400873). This study was also supported in part by U.S. National Science Foundation Grant No. 0928282.
References
Cao, D. Q., Tucker, R. W., and Wang, C. (2003). “A stochastic approach to cable dynamics with moving rivulets.” J. Sound Vib., 268(2), 291–304.
Chen, Z. Q., Wang, X. Y., Ko, J. M., Ni, Y. Q., Yang, G., and Hu, J. H. (2004). “MR damping system for mitigating wind-rain induced vibration on Dongting Lake cable-stayed bridge.” Wind Struct., 7(5), 293–304.
Cosentino, N., Flamand, O., and Ceccoli, C. (2003a). “Rain-wind induced vibration of inclined stay cables. Part I: Experimental investigation and physical explanation.” Wind Struct, 6(6), 471–484.
Cosentino, N., Flamand, O., and Ceccoli, C. (2003b). “Rain-wind induced vibration of inclined stay cables. Part II: Mechanical modeling and parameter characterization.” Wind Struct., 6(6), 485–498.
Davenport, A. G. (1968). “The dependence of wind load upon meteorological parameters.” Proc., Int. Research Seminar on Wind Effects on Buildings and Structures, University of Toronto Press, Toronto, 19–82.
de Gennes, P. G. (1985). “Wetting: Statics and dynamics.” Rev. Mod. Phys., 57(3), 827–863.
Deodatis, G. (1996). “Simulation of ergodic multivariate stochastic processes.” J. Eng. Mech., 122(8), 778–787.
Flamand, O. (1995). “Rain-wind induced vibration of cables.” J. Wind Eng. Ind. Aerodyn., 57(2–3), 353–362.
Gu, M., and Du, X. Q. (2005). “Experimental investigation of rain-wind-induced vibration of cables in cable-stayed bridges and its mitigation.” J. Wind Eng. Ind. Aerodyn., 93(1), 79–95.
Gu, M., Du, X. Q., and Li, S. Y. (2009). “Experimental and theoretical simulations on wind–rain-induced vibration of 3-D rigid stay cables.” J. Sound Vib., 320(1–2), 184–200.
Gu, M., Liu, C. J., Xu, Y. L., and Xiang, H. F. (2002). “Response characteristics of wind excited cables with artificial rivulet.” Appl. Math. Mech., 23(10), 1176–1187.
Gu, M., and Lu, Q. (2001). “Theoretical analysis of wind-rain induced vibration of cables of cable-stayed bridges.” Proc., 5th Asia-Pacific Conf. on Wind Engineering, Japan Association for Wind Engineering, Kyoto, Japan, 125–128.
Hikami, Y., and Shiraishi, N. (1988). “Rain-wind induced vibrations of cables stayed bridges.” J. Wind Eng. Ind. Aerodyn., 29(1–3), 409–418.
Kaimal, J. C., Wyngaard, J. C., Izumi, Y., and Coté, O. R. (1972). “Spectral characteristics of surface-layer turbulence.” J. R. Meteorolog. Soc., 98(417), 563–589.
Li, H., Chen, W. L., Xu, F., Li, F. C., and Ou, J. P. (2010). “A numerical and experimental hybrid approach for the investigation of aerodynamic forces on stay cables suffering from rain-wind induced vibration.” J. Fluids Struct., 26(7–8), 1195–1215.
Li, S. Y., Chen, Z. Q., and Gu, M. (2008). “Coupled motion between stay cables and rivulets in rain-wind induced vibration.” J. Vib. Shock, 27(10), 1–5 (in Chinese).
Li, S. Y., and Gu, M. (2006). “Numerical simulations of flow around stay cables with and without fixed artificial rivulets.” Proc., 4th Int. Symp. on Computational Wind Engineering, Japan Association for Wind Engineering, Yokohama, Japan, 307–310.
Li, S. Y., and Gu, M. (2007). “A theoretical model of rain-wind induced vibration of three-dimensional continuous stay cable with quasi-moving rivulet.” Proc., 12th Int. Conf. on Wind Engineering, Australasian Wind Engineering Society, Carns, Australia, 887–894.
Li, Y., and Kareem, A. (1993). “Simulation of multivariate random processes: Hybrid DFT and digital filtering approach.” J. Eng. Mech., 119(5), 1078–1098.
Matsumoto, M., Saitoh, T., Kitazawa, M., Shirato, H., and Nishizaki, T. (1995). “Response characteristics of rain-wind induced vibration of stay-cables of cable-stayed bridges.” J. Wind Eng. Ind. Aerodyn., 57(2–3), 323–333.
Matsumoto, M., Shiraishi, N., and Shirato, H. (1992). “Rain-wind induced vibration of cables of cable-stayed bridges.” J. Wind Eng. Ind. Aerodyn., 43(1–3), 2011–2022.
Matsumoto, M., Shirato, H., Yagi, T., Goto, M., Sakai, S., and Ohya, J. (2003). “Field observation of the full-scale wind-induced cable vibration.” J. Wind Eng. Ind. Aerodyn., 91(1–2), 13–26.
Peil, U., and Nahrath, N. (2003). “Modeling of rain-wind induced vibrations.” Wind Struct., 6(1), 41–52.
Peil, U., Nahrath, N., and Dreyer, O. (2003). “Modeling of rain-wind induced vibrations.” Proc., 11th Int. Conf. on Wind Engineering, American Association of Wind Engineering, Lubbock, TX, 389–396.
Rocchi, D., and Zasso, A. (2002). “Vortex shedding from a circular cylinder in a smooth and wired configuration: Comparison between 3D LES simulation and experimental analysis.” J. Wind Eng. Ind. Aerodyn., 90(4–5), 475–489.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures, 3rd Ed., Wiley, New York.
Taylor, I. J., and Robertson, A. C. (2011). “Numerical simulation of the airflow-rivulet interaction associated with the rain-wind induced vibration phenomenon.” J. Wind Eng. Ind. Aerodyn., 99(9), 931–944.
van der Burgh, A. H. P., and Hartono (2004). “Rain-wind-induced vibrations of a simple oscillator.” Int. J. Non-linear Mech., 39(1), 93–100.
Watson, S. C., and David, S. (1988). “Cables in trouble.” Civ. Eng., 58(4), 38–41.
Wilde, K., and Witkowski, W. (2003). “Simple model of rain-wind-induced vibrations of stayed cables.” J. Wind Eng. Ind. Aerodyn., 91(7), 873–891.
Xu, Y. L., and Wang, L. Y. (2003). “Analytical study of wind-rain-induced cable vibration: SDOF model.” J. Wind Eng. Ind. Aerodyn., 91(1–2), 27–40.
Yamaguchi, H. (1990). “Analytical study on growth mechanism of rain vibration of cables.” J. Wind Eng. Ind. Aerodyn., 33(1–2), 73–80.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 139 • Issue 12 • December 2013
Pages: 1688 - 1698
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Dec 28, 2011
Accepted: Feb 22, 2013
Published online: Feb 25, 2013
Published in print: Dec 1, 2013
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