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Materials and Structures

, Volume 49, Issue 7, pp 2701–2713 | Cite as

Damping properties of FRP cables for long-span cable-stayed bridges

  • Yaqiang Yang
  • Xin Wang
  • Zhishen Wu
  • Changhai Peng
Original Article

Abstract

In this study, the damping properties of carbon fiber reinforced polymer (CFRP) and basalt fiber reinforced polymer (BFRP) cable potentially applied in long-span cable-stayed bridges were simulated and evaluated based on experimental data and theoretical derivations. The modal shapes were first identified according to a previous dynamic test on FRP cables, based on which the modal damping ratios of the in-plane vibration were estimated by the structural damping model of mode-dependence. Meanwhile, the modal damping ratios of the out-of-plane vibration were evaluated by the combined Rayleigh and frequency independent damping (CRFID) model. The results show that (1) the modified equation for the modal damping ratio validated by the results of in-plane vibration of the steel cable can be used for modeling the damping ratios of FRP cables, (2) the coefficients of dynamic strain damping energy of CFRP and BFRP cables were derived by backward calculating and fitting the experimental data, which can represent the damping difference among each material, and (3) the modal damping ratios of the out-of-plane modes of different stayed cables were fitted by the CRFID model and show good agreement with the test results.

Keywords

FRP cables Super long-span cable-stayed bridge Model dynamic test Dynamic strain Modal shape 

Notes

Acknowledgments

The authors gratefully acknowledge the financial support provided by the National Key Basic Research Program of China, 973 Program (No. 2012CB026200), the National Science Foundation of China (NSFC, 51378109) and the National High Technology Research and Development Program of China (No. 2012AA03A204).

References

  1. 1.
    Kawashima K, Unjoh S, Tunomoto M (1993) Estimation of damping ratio of cable-stayed bridges for seismic design. J Struct Eng 119(4):1015–1031CrossRefGoogle Scholar
  2. 2.
    Kim JT, Stubbs N (1995) Model-uncertainty impact and damage-detection accuracy in plate girder. J Struct Eng 121(10):1409–1417CrossRefGoogle Scholar
  3. 3.
    Ko JM, Zheng G, Chen Z, Ni Y-Q (1994) Field vibration tests of bridge stay cables incorporated with magnetorheological (MR) dampers. In: Proceedings of SPIE’s 9th annual international symposium on smart structures and materials, International Society for Optics and Photonics, pp 30–40Google Scholar
  4. 4.
    Meier U (2012) Carbon fiber reinforced polymer cables: Why? Why not? What if? Arab J Sci Eng 37(2):399–411CrossRefGoogle Scholar
  5. 5.
    Meier U (1987) Proposal for a carbon fibre reinforced composite bridge across the Strait of Gibraltar at its narrowest site. Proc Inst Mech Eng Part B 201(2):73–78CrossRefGoogle Scholar
  6. 6.
    Meier U, Farshad M (1996) Connecting high-performance carbon-fiber-reinforced polymer cables of suspension and cable-stayed bridges through the use of gradient materials. J Comput Aided Mater Des 3(1–3):379–384CrossRefGoogle Scholar
  7. 7.
    Meier U, Meier H, Kim P (1998) Anchorage device for high-performance fiber composite cables. Google PatentsGoogle Scholar
  8. 8.
    Ni Y, Ko J, Zheng G (1999) Free and forced vibration of large-diameter sagged cables taking into account bending stiffness. Adv Steel Struct 1:513–520Google Scholar
  9. 9.
    Noisternig JF (2000) Carbon fibre composites as stay cables for bridges. Appl Compos Mater 7(2–3):139–150CrossRefGoogle Scholar
  10. 10.
    Pandey A, Biswas M, Samman M (1991) Damage detection from changes in curvature mode shapes. J Sound Vib 145(2):321–332CrossRefGoogle Scholar
  11. 11.
    Pisani MA (2000) Long-term behaviour of beams prestressed with aramid fibre cables: part 1: a general method. Eng Struct 22(12):1641–1650CrossRefGoogle Scholar
  12. 12.
    SASAKI I, NISHIZAKI I (2012) Tensile load relaxation of FRP cable system during long-term exposure tests. In: Proceedings of submitted to the 6th international conference on FRP composites in civil engineering (CICE2012)Google Scholar
  13. 13.
    Tsuji M, Kanou I (1980) Damping of wire ropes. In: Proceedings of 13 th annual conference of construction consultant association, pp 73–86Google Scholar
  14. 14.
    Wang X, Shi J, Liu J, Yang L, Wu Z (2014) Creep behavior of basalt fiber reinforced polymer tendons for prestressing application. Mater Des 59:558–564CrossRefGoogle Scholar
  15. 15.
    Wang X, Wu G, Wu Z, Dong Z, Xie Q (2014) Evaluation of prestressed basalt fiber and hybrid fiber reinforced polymer tendons under marine environment. Mater Des 64:721–728CrossRefGoogle Scholar
  16. 16.
    Wang X, Wu Z (2010) Evaluation of FRP and hybrid FRP cables for super long-span cable-stayed bridges. Compos Struct 92(10):2582–2590CrossRefGoogle Scholar
  17. 17.
    Wang X, Wu Z (2010) Integrated high-performance thousand-metre scale cable-stayed bridge with hybrid FRP cables. Compos B 41(2):166–175CrossRefGoogle Scholar
  18. 18.
    Wang X, Wu Z (2011) Modal damping evaluation of hybrid FRP cable with smart dampers for long-span cable-stayed bridges. Compos Struct 93(4):1231–1238CrossRefGoogle Scholar
  19. 19.
    Wang X, Wu Z (2011) Vibration control of different FRP cables in long-span cable-stayed bridge under indirect excitations. J Earthq Tsunami 5(02):167–188CrossRefGoogle Scholar
  20. 20.
    Wang X, Wu Z, Wu G, Zhu H, Zen F (2013) Enhancement of basalt FRP by hybridization for long-span cable-stayed bridge. Compos B 44(1):184–192CrossRefGoogle Scholar
  21. 21.
    Wang X, Xu P, Wu Z, Shi J (2015) A novel anchor method for multi-tendon FRP cable: concept and FE study. Compos Struct 120:552–564CrossRefGoogle Scholar
  22. 22.
    Wu Z, Wang X, Iwashita K, Sasaki T, Hamaguchi Y (2010) Tensile fatigue behaviour of FRP and hybrid FRP sheets. Compos B 41(5):396–402CrossRefGoogle Scholar
  23. 23.
    Wu Z, Wang X, Wu G (2010) Basalt FRP composite as reinforcements in infrastructure. In: Proceedings of 17th annual international conference on composites nano engineering (ICCE-17)Google Scholar
  24. 24.
    Xie X, Nakamura H, Maeda K, Zhang Z-C, Enomoto T (2010) Theoretical analysis and experimental test on damping characteristics of CFRP stay cables. Eng Mech 3:034Google Scholar
  25. 25.
    Xie X, Zhang H, Yonggang S (2008) Study on characteristics of modal damping of steel and CFRP stay cables. Eng Mech 25(3):151–157Google Scholar
  26. 26.
    Yamaguchi H, Fujino Y (1987) Modal damping of flexural oscillation in suspended cables. Struct Eng 4(2):413–421Google Scholar
  27. 27.
    Yamaguchi H, Ito M (1997) Mode-dependence of structural damping in cable-stayed bridges. J Wind Eng Ind Aerodyn 72:289–300CrossRefGoogle Scholar
  28. 28.
    Yamaguchi H, Jayawardena L (1992) Analytical estimation of structural damping in cable structures. J Wind Eng Ind Aerodyn 43(1):1961–1972CrossRefGoogle Scholar
  29. 29.
    Yang Y, Wang X, Wu Z (2014) Experimental study of vibration characteristics of FRP cables for long-span cable-stayed bridges. Journal of Bridge Engineering 20(4):1–10MathSciNetGoogle Scholar
  30. 30.
    Zhang X, Chen A (2010) Kilometer-scale cable stayed bridge-structural system, performance and design, vol 6. China Communication Press, BeijingGoogle Scholar

Copyright information

© RILEM 2015

Authors and Affiliations

  • Yaqiang Yang
    • 1
  • Xin Wang
    • 1
    • 2
  • Zhishen Wu
    • 1
    • 2
  • Changhai Peng
    • 3
  1. 1.National and Local Unified Engineering Research Center for Basalt Fiber Production and Application Technology, International Institute for Urban Systems EngineeringSoutheast UniversityNanjingChina
  2. 2.Key Laboratory of C & PC Structures Ministry of EducationSoutheast UniversityNanjingChina
  3. 3.School of ArchitectureSoutheast UniversityNanjingChina

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