Technical Papers
Dec 7, 2017

Galloping Analysis of a Stay Cable with an Attached Viscous Damper Considering Complex Modes

Publication: Journal of Engineering Mechanics
Volume 144, Issue 2

Abstract

The use of viscous dampers to mitigate cable vibrations on cable-stayed bridges is very popular. A viscous damper attached to a stay cable results in complex mode shapes. Such complexity could affect the dynamic stability of the cable under wind action, yet it is neglected in conventional galloping analysis. A general framework to investigate the problem of galloping of a stay cable with an attached viscous damper is therefore developed. Aerodynamic forces on the complex modes are considered, including aeroelastic coupling between the modes. A numerical example for an ice-accreted stay cable with a damper shows that conventional galloping analysis overestimates the critical wind speed for galloping occurrence. The complexity of the mode shapes gives rise to the cable being more unstable than ignoring it by treating the mode shapes as real.

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Acknowledgments

The authors gratefully acknowledge the support of the research by the Newton Fund under the U.K. Royal Academy of Engineering Newton Research Collaboration Programme, Grant NRCP/1415/292. The first author is grateful to the Industrial University of Ho Chi Minh City for supporting this research.

References

Caetano, E. D. S. (2007). Cable vibrations in cable-stayed bridges, International Association for Bridge and Structural Engineering, Zurich, Switzerland.
Carassale, L., Freda, A., and Piccardo, G. (2005). “Aeroelastic forces on yawed circular cylinders: Quasi-steady modeling and aerodynamic instability.” Wind Struct. Int. J., 8(5), 373–388.
Carne, T. G. (1981). “Guy cable design and damping for vertical axis wind turbines.”, Sandia National Laboratory, Albuquerque, NM.
Den Hartog, J. P. (1932). “Transmission line vibration due to sleet.” Trans. Am. Inst. Electr. Eng., 51(4), 1074–1076.
Fujino, Y., Kimura, K., and Tanaka, H. (2012). Wind resistant design of bridges in Japan, Springer, New York.
Gjelstrup, H., Georgakis, C. T., and Larsen, A. (2012). “An evaluation of iced bridge hanger vibrations through wind tunnel testing and quasi-steady theory.” Wind Struct. Int. J., 15(5), 385–407.
Glauert, H. (1919). “The rotation of an aerofoil about a fixed axis.”, British Advisory Committee for Aeronautics, London, 443–447.
Hurty, W., and Rubinstein, M. (1964). Dynamics of structures, Prentice-Hall, Englewood Cliffs, NJ.
Igusa, T., Der Kiureghian, A., and Sackman, J. L. (1984). “Modal decomposition method for stationary response of non-classically damped systems.” Earthquake Eng. Struct. Dyn., 12(1), 121–136.
Jones, K. F. (1992). “Coupled vertical and horizontal galloping.” J. Eng. Mech., 92–107.
Krenk, S. (2000). “Vibrations of a taut cable with an external damper.” J. Appl. Mech., 67(4), 772–776.
Krenk, S. (2004). “Complex modes and frequencies in damped structural vibrations.” J. Sound Vib., 270(4–5), 981–996.
Luongo, A., and Piccardo, G. (2005). “Linear instability mechanisms for coupled translational galloping.” J. Sound Vib., 288(4–5), 1027–1047.
Luongo, A., and Zulli, D. (2014). “Aeroelastic instability analysis of NES-controlled systems via a mixed multiple scale/harmonic balance method.” J. Vib. Control, 20(13), 1985–1998.
Luongo, A., Zulli, D., and Piccardo, G. (2008). “Analytical and numerical approaches to nonlinear galloping of internally resonant suspended cables.” J. Sound Vib., 315(3), 375–393.
Macdonald, J. H. G., and Larose, G. L. (2006). “A unified approach to aerodynamic damping and drag/lift instabilities, and its application to dry inclined cable galloping.” J. Fluids Struct., 22(2), 229–252.
Macdonald, J. H. G., and Larose, G. L. (2008a). “Two-degree-of-freedom inclined cable galloping. I: General formulation and solution for perfectly tuned system.” J. Wind Eng. Ind. Aerodyn., 96(3), 291–307.
Macdonald, J. H. G., and Larose, G. L. (2008b). “Two-degree-of-freedom inclined cable galloping. II: Analysis and prevention for arbitrary frequency ratio.” J. Wind Eng. Ind. Aerodyn., 96(3), 308–326.
Main, J. A., and Jones, N. P. (2002). “Free vibrations of taut cable with attached damper. I: Linear viscous damper.” J. Eng. Mech., 1062–1071.
Nguyen, C. H., Freda, A., Solari, G., and Tubino, F. (2015). “Aeroelastic instability and wind-excited response of complex lighting poles and antenna masts.” Eng. Struct., 85, 264–276.
Nielsen, S. R. K., and Krenk, S. (2003). “Whirling motion of a shallow cable with viscous dampers.” J. Sound Vib., 265(2), 417–435.
Nikitas, N., and Macdonald, J. H. G. (2014). “Misconceptions and generalisations of the Den Hartog galloping criterion.” J. Eng. Mech., 04013005.
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.
Piccardo, G. (1993). “A methodology for the study of coupled aeroelastic phenomena.” J. Wind Eng. Ind. Aerodyn., 48(2–3), 241–252.
Richardson, A. S. (1988). “Predicting galloping amplitudes.” J. Eng. Mech., 716–723.
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. Eng., 37A, 789–798.
Veletsos, A. S., and Ventura, C. E. (1986). “Modal analysis of non-classically damped linear systems.” Earthquake Eng. Struct. Dyn., 14(2), 217–243.
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, 119–128.
Yu, B. P., Desai, Y. M., Popplewell, N., and Shah, A. H. (1993a). “Three-degree-of-freedom model for galloping. II: Solutions.” J. Eng. Mech., 2426–2448.
Yu, B. P., Desai, Y. M., Shah, A. H., and Popplewell, N. (1993b). “Three-degree-of-freedom model for galloping. I: Formulation.” J. Eng. Mech., 2404–2425.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 144Issue 2February 2018

History

Received: Mar 29, 2017
Accepted: Aug 2, 2017
Published online: Dec 7, 2017
Published in print: Feb 1, 2018
Discussion open until: May 7, 2018

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Authors

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Lecturer, Dept. of Civil Engineering, Industrial Univ. of Ho Chi Minh City, 12 Nguyen Van Bao, Go Vap, Ho Chi Minh City 700000, Vietnam (corresponding author). ORCID: https://orcid.org/0000-0002-7008-8373. E-mail: [email protected]
John H. G. Macdonald, Ph.D. [email protected]
Reader, Dept. of Civil Engineering, Univ. of Bristol, Queen’s Bldg., University Walk, Bristol BS8 1TR, U.K. E-mail: [email protected]

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