Structural Engineering and Mechanics

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Damping of a taut cable with two attached high damping rubber dampers

  • Cu, Viet Hung (School of Civil Engineering, Beijing Jiaotong University) ;
  • Han, Bing (School of Civil Engineering, Beijing Jiaotong University) ;
  • Wang, Fang (Engineering Management Center, China Railway Corporation)
  • Received : 2014.12.07
  • Accepted : 2015.09.15
  • Published : 2015.09.25
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Abstract

Due to their low intrinsic damping, stay cables in cable-stayed bridges have often exhibited unanticipated and excessive vibrations which result in increasing maintenance frequency and disruption to normal operations of the entire bridges. Mitigation of undesired cable vibration can be achieved by attaching an external damping device near the anchorage. High Damping Rubber (HDR) dampers have many advantages such as compact size, better aesthetics, easy maintenance, temperature stability, and cost benefits; therefore, they have been widely used to increase cable damping. Although a single damper has been shown to reduce cable vibrations, it is not the most effective method due to geometric constraints. This paper proposes the use of two HDR dampers to improve effectiveness and robustness in suppressing cable vibration. Oscillation parameters of the cable-dampers system were investigated in detail by modeling the stay cable as a taut string and each HDR damper as complex-valued impedance and by using an analytical formulation of the complex eigenvalue problem. The problem of two HDR dampers arbitrarily located along a cable is solved and the solution is discussed. Asymptotic formulas to calculate the damping ratios of the cable with two HDR dampers installed near the anchorage(s) are proposed and compared with the exact solutions. Further, a design example is presented in order to justify the methodology. The results of this study show that when the two HDR dampers are installed close to each other on the same end of the cable, some interaction between the dampers leads to reduced damping ratio. When the dampers are on the opposite ends of the cable, they are effective in increasing damping ratio and can provide better vibration reduction to multiple modes.

Keywords

References

  1. Bert, C.W. (1973), "Material damping: An introductory review of mathematic measures and experimental technique", J. Sound Vib., 29(2), 129-153. https://doi.org/10.1016/S0022-460X(73)80131-2
  2. Caracoglia, L. and Jones, N.P. (2007), "Damping of taut-cable systems: two dampers on a single stay", J. Eng. Mech., 133(10), 1050-1060. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:10(1050)
  3. Caetano, E. (2007), Cable vibrations in cable-stayed bridges, Structural Engineering Documents, SED 9, IABSE-AIPC-IVBH, Zurich, Switzerland.
  4. Freyssinet (2005), BaiChay Bridge in Vietnam: Internal dampers - Efficiency estimation & Stay vibration analysis.
  5. Fujino, Y. and Hoang, N. (2008), "Design formulas for damping of a stay cable with a damper", J. Struct. Eng., 134(2), 269-278. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:2(269)
  6. Fujino, Y., Kimura, K. and Tanaka, H. (2012), Cable Vibrations and Control Methods, In Wind Resistant Design of Bridges in Japan, Springer Japan.
  7. Wenzel, H. and Tanaka, H. (2006), Samco Monitoring glossary, Vienna Consulting Engineers Holding GmbH, Vienna, Austria.
  8. Hikami, Y. and Shiraishi, N. (1988), "Rain-wind induced vibrations of cables stayed bridges", J. Wind Eng. Indus. Aerod., 29(1), 409-418. https://doi.org/10.1016/0167-6105(88)90179-1
  9. Hoang, N. and Fujino, Y. (2008), "Combined damping effect of two dampers on a stay cable", J. Bridge Eng., 13(3), 299-303. https://doi.org/10.1061/(ASCE)1084-0702(2008)13:3(299)
  10. Huang, Z. and Jones, N.P. (2011), "Damping of taut-cable systems: Effects of linear elastic spring support", J. Eng. Mech., 137(7), 512-518. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000252
  11. Jung, S.S., Kim, Y.T., Lee, Y.B., Shin, S.H., Kim, D. and Kim, H.C. (2006), "Measurement of the resonance frequency, the loss factor, and the dynamic young's modulus in structural steel and polycarbonate by using an acoustic velocity sensor", J. Korean Phys. Soc., 49(5), 1961-1966.
  12. Krenk, S. (2000), "Vibrations of a taut cable with an external damper", J. Appl. Mech., 67(4), 772-776. https://doi.org/10.1115/1.1322037
  13. Kumarasena, S., Jones, N.P., Irwin, P. and Taylor, P. (2007), Wind-induced vibration of stay cables, Federal Highway Administration, Publication No. FHWA-RD-05-083.
  14. Main, J.A. and Jones, N.P. (2002a), "Free vibrations of taut cable with attached damper. I: Linear viscous damper", J. Eng. Mech., 128(10), 1062-1071. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1062)
  15. Main, J.A. and Jones, N.P. (2002b), "Free vibrations of taut cable with attached damper. II: Nonlinear damper", J. Eng. Mech., 128(10), 1072-1081. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1072)
  16. Main, J.A. and Jones, N.P. (2003), "Influence of rubber bushings on stay cable damper effectiveness", Proceedings of the Fifth International Symposium on Cable Dynamics, Santa Margherita Ligure, Italy.
  17. Marshall, J.D. and Charney, F.A. (2010), "A hybrid passive control device for steel structures, I: Development and analysis", J. Constr. Steel Res., 66(10), 1278-1286. https://doi.org/10.1016/j.jcsr.2010.04.005
  18. Matsumoto, M., Shirashi, N. and Shirato, H. (1992), "Rain-wind induced vibration of cables of cable-stayed bridges", J. Wind Eng. Indus. Aerod., 44, 2011-2022.
  19. Nakamura, A., Kasuga, A. and Arai, H. (1997), "The effects of mechanical dampers on stay cables with high-damping rubber", Constr. Build. Mater., 12(2), 115-123. https://doi.org/10.1016/S0950-0618(97)00013-5
  20. Pacheco, B., Fujino, Y. and Sulekh, A. (1993), "Estimation curve for modal damping in stay cables with viscous damper", J. Eng. Mech., 119(6), 1961-1979.
  21. PTI Guide Specification (2001), Recommendations for stay cable design, testing and installation, Fourth Edition, Post-Tensioning Institute Committee on Cable-Stayed Bridges.
  22. 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. Indus. Aerod., 69-71, 807-818. https://doi.org/10.1016/S0167-6105(97)00207-9
  23. Zhou, H., Sun, L. and Xing, F. (2014), "Free vibration of taut cable with a damper and a spring", Struct. Control Hlth. Monit., 21(6), 996-1014. https://doi.org/10.1002/stc.1628

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