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Tuned mass-high damping rubber damper on a taut cable

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

Due to their low intrinsic damping, stay cables in cable-stayed bridges are vulnerable to dynamic excitation. The cables have often been exhibiting undesirable 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 a traditionally mechanical damper near the anchorage. Although utilizing this type of damper demonstrates vibrating diminishment in cables, the approach is not the most effective method due to geometric constraints. Tuned Mass Damper (TMD) has been used to overcome the deficiency of the traditional mechanical damper since it can be mounted anywhere along a cable. This paper proposes a new type of damper called the Tuned Mass - High Damping Rubber (TM-HDR) damper for increasing damping ratio of the cable. Oscillation parameters of cable with an attached TM-HDR damper are investigated in detail using an analytical formulation of the complex eigenvalue problem. As a result, optimal parameters of the damper can be evaluated and selected in order to reduce vibrations of cable. In addition, this paper demonstrates the effects of TM-HDR damper by using an example.

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References

  • Bert, C. W. (1973). “Material damping: An introductory review of mathematic measures and experimental technique.” Journal of Sound and Vibration, Vol. 29, No. 2, pp. 129–153, DOI: 10.1016/S0022-460X(73)80131-2.

    Article  MathSciNet  MATH  Google Scholar 

  • Cai, C. S., Wu, W. J., and Araujo, M. (2007). “Cable vibration control with a TMD-MR damper system: Experimental exploration.” Journal of Structural Engineering, Vol. 133, No. 5, pp. 629–637, DOI: 10.1061/(ASCE)0733-9445(2007)133:5(629).

    Article  Google Scholar 

  • Caracoglia, L. and Jones, N. P. (2007). “Damping of taut-cable systems: two dampers on a single stay.” Journal of Engineering Mechanics, Vol. 133, No. 10, pp. 1050–1060, DOI: 10.1061/(ASCE)0733-9399(2007)133:10(1050).

    Article  Google Scholar 

  • Cu, V. H. and Han, B. (2015a). “High damping rubber damper for taut cable vibration reduction.” Australian Journal of Structural Engineering, Vol. 16, No. 4, pp. 283–291, DOI: 10.1080/13287982.2015.1092690.

    Google Scholar 

  • Cu, V. H. and Han, B. (2015b). “A stay cable with viscous damper and tuned mass damper.” Australian Journal of Structural Engineering, Vol. 16, No. 4, pp. 316–323, DOI: 10.1080/13287982.2015.1092693.

    Google Scholar 

  • Cu, V. H., Han, B., and Nguyen, T. N. (2016). “Optimal parameters of viscous damper for hanged cables in arch bridges.” KSCE Journal of Civil Engineering, Vol. 20, No. 2, pp. 847–854, DOI: 10.1007/s12205-015-0771-8.

    Article  Google Scholar 

  • Cu, V. H., Han, B., and Wang, F. (2015). “Damping of a taut cable with two attached high damping rubber dampers.” Structural Engineering and Mechanics, Vol. 55, No. 6, pp. 1261–1278, DOI: 10.12989/sem.2015.55.6.1261.

    Article  Google Scholar 

  • Freyssinet (2005). BaiChay Bridge in Vietnam: Internal dampers-Efficiency estimation & Stay vibration analysis, Design report, Vietnam.

    Google Scholar 

  • Fujino, Y. and Hoang, N. (2008). “Design formulas for damping of a stay cable with a damper.” Journal of Structural Engineering, Vol. 134, No. 2, pp. 269–278, DOI: 10.1061/(ASCE)0733-9445(2008)134:2(269).

    Article  Google Scholar 

  • Fujino, Y., Kimura, K., and Tanaka, H. (2012). Cable vibrations and control methods, Wind Resistant Design of Bridges in Japan (pp. 197–229). Springer, Japan.

    Google Scholar 

  • Hikami, Y. and Shiraishi, N. (1988). “Rain-wind induced vibrations of cables stayed bridges.” Journal of Wind Engineering and Industrial Aerodynamics, Vol. 29, No. 1, pp. 409–418, DOI: 10.1016/0167-6105(88)90179-1.

    Article  Google Scholar 

  • Hoang, N. and Fujino Y. (2008). “Combined damping effect of two dampers on a stay cable.” Journal of Bridge Engineering, Vol. 13, No. 3, pp. 299–303, DOI: 10.1061/(ASCE)1084-0702(2008)13:3(299).

    Article  Google Scholar 

  • Krenk, S. (2000). “Vibrations of a taut cable with an external damper.” Journal of Applied Mechanics, Vol. 67, No. 4, pp. 772–776, DOI: 10.1115/1.1322037.

    Article  MATH  Google Scholar 

  • Kumarasena, S., Jones, N. P., Irwin, P., and Taylor, P. (2007). Windinduced vibration of stay cables, Federal Highway Administration, Publication No. FHWA-RD-05-083.

    Google Scholar 

  • Main, J. A. and Jones, N. P. (2002). “Free vibrations of taut cable with attached damper. I: Linear viscous damper.” Journal of Engineering Mechanics, Vol. 128, No. 10, pp. 1062–1071, DOI: 10.1061/(ASCE)0733-9399(2002)128:10(1062).

    Article  Google Scholar 

  • Marshall, J. D. and Charney, F. A. (2010). “A hybrid passive control device for steel structures, I: Development and analysis.” Journal of Constructional Steel Research, Vol. 66, No. 10, pp. 1278–1286, DOI: 10.1016/j.jcsr.2010.04.005.

    Article  Google Scholar 

  • Matsumoto, M., Shirashi, N., and Shirato, H. (1992). “Rain-wind induced vibration of cables of cable-stayed bridges.” Journal of Wind Engineering and Industrial Aerodynamics, Vol. 44, pp. 2011–2022, DOI: 10.1016/0167-6105(92)90628-N.

    Article  Google Scholar 

  • Nakamura, A., Kasuga, A., and Arai, H. (1997). “The effects of mechanical dampers on stay cables with high-damping rubber.” Construction and Building Materials, Vol. 12, No. 2, pp. 115–123, DOI: 10.1016/S0950-0618(97)00013-5.

    Google Scholar 

  • Pacheco, B., Fujino Y., and Sulekh A. (1993). “Estimation curve for modal damping in stay cables with viscous damper.” Journal of Structural Engineering, Vol. 119, No. 6, pp. 1961–1979, DOI: 10.1061/(ASCE)0733-9445(1993)119:6(1961).

    Article  Google Scholar 

  • PTI Guide Specification (2001). Recommendations for stay cable design, testing and installation, Post-Tensioning Institute Committee on Cable-Stayed Bridges, (4th Ed.).

    Google Scholar 

  • Saito, T., Matsumoto, M., and Kitazawa, M. (1994). “Rain-wind excitation of cables on cable-stayed Higashi-Kobe Bridge and cable vibration control.” Proceedings of the International Conference on Cable-Stayed and Suspension Bridges (AFPC), Deauville, France, Vol. 2, pp. 507–514.

    Google Scholar 

  • Tabatabai, H. and Mehrabi, A. B. (1999). Tuned dampers and cable fillers for supperssion of bridge cable vibrations, Final Report to TRB IDEA Program, Construction Technology Laboratories, Inc, Skokie, Illinois.

    Google Scholar 

  • Takano, H., Ogasawara, M., Ito, N., Shimosato, T., Takeda, K., and Murakami, T. (1997). “Vibrational damper for cables of the Tsurumi Tsubasa Bridge.” Journal of Wind Engineering and Industrial Aerodynamics, Vol. 69-71, pp. 807–818, DOI: 10.1016/S0167-6105(97)00207-9.

    Article  Google Scholar 

  • Wenzel, H. and Tanaka, H. (2006). Samco monitoring glossary, Vienna Consulting Engineers Holding GmbH, Vienna, Austria.

    Google Scholar 

  • Wu, W. J. and Cai, C. S. (2006). “Cable vibration control with a magnetorheological fluid based tuned mass damper.” 10th ASCE Aerospace Division Internatioanal Conference on Egineering, Construction and Operation in Challenging Environments, Earth and space 2006, pp. 1–8.

    Google Scholar 

  • Wu, W. J. and Cai, C. S. (2007). “Theoretical exploration of a taut cable and a TMD system.” Engineering Structures, Vol. 29, No. 6, pp. 962–972, DOI: 10.1016/j.engstruct.2006.07.009.

    Article  Google Scholar 

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Correspondence to Viet Hung Cu.

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Cu, V.H., Han, B. & Pham, D.H. Tuned mass-high damping rubber damper on a taut cable. KSCE J Civ Eng 21, 928–936 (2017). https://doi.org/10.1007/s12205-016-0857-y

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  • DOI: https://doi.org/10.1007/s12205-016-0857-y

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