Structural Engineering and Mechanics

  • 제50권1호
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  • Pages.37-52
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  • 2014
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Determination of cable force based on the corrected numerical solution of cable vibration frequency equations

  • Dan, Danhui (Department of Bridge engineering, Tongji University) ;
  • Chen, Yanyang (Department of Bridge engineering, Tongji University) ;
  • Yan, Xingfei (Shanghai Urban Construction Design and Research Institute)
  • 투고 : 2012.06.10
  • 심사 : 2014.02.01
  • 발행 : 2014.04.10
⟨ 이전 논문 다음 논문 ⟩

초록

The accurate determination of cable tension is important to the monitoring of the condition of a cable-stayed bridge. When applying a vibration-based formula to identify the tension of a real cable under sag, stiffness and boundary conditions, the resulting error must not be overlooked. In this work, by resolving the implicit frequency function of a real cable under the above conditions numerically, indirect methods of determining the cable force and a method to calculate the corresponding cable mode frequency are investigated. The error in the tension is studied by numerical simulation, and an empirical error correction formula is presented by fitting the relationship between the cable force error and cable parameters ${\lambda}^2$ and ${\xi}$. A case study on two real cables of the Shanghai Changjiang Bridge shows that employing the method proposed in this paper can increase the accuracy of the determined cable force and reduce the computing time relative to the time required for the finite element model.

키워드

참고문헌

  1. Irvine, H.M. (1991), Cable Structures, Dover Publications, New York
  2. Kim, B.H., Park, T., Shin, H.Y. and Yoon, T.Y. (2007), "A comparative study of the tension estimation methods for cable supported bridges", Int. J. Steel Struct., 7(1), 77-84.
  3. Nam, H. and Nghia, N.T. (2011), "Estimation of cable tension using measured natural frequencies", Proceedings of the 12th East Asia-Pacific Conference on Structural Engineering and Construction (EASEC), Hong Kong.
  4. Geier, R.G., Roeck, D. and Flesch, R. (2006) "Accurate cable force determination using ambient vibration measurements", Struct. Infrastr. Eng., 2(1), 43-52. https://doi.org/10.1080/15732470500253123
  5. Marcelo, A.C. and Carlos, A.P. (2008), "Determination of the axial force on stay cables accounting for their bending stiffness and rotational end restraints by free vibration tests", J. Sound Vib., 317(1-2), 127-141. https://doi.org/10.1016/j.jsv.2008.02.048
  6. Choi, D.H. and Park, W.S. (2011), "Tension force estimation of extradosed bridge cables oscillating nonlinearly under gravity effects", Int. J. Steel Struct., 11(3), 383-394. https://doi.org/10.1007/s13296-011-3012-0
  7. Mehrabi, A.B. and Tabatabai, H. (1998), "Unified finite difference formulation for free vibration of cables", J. Struct. Eng., ASCE, 124(11), 1313-1322. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:11(1313)
  8. Wang, R., Gan, Q., Huang, Y. and Ma, H. (2011), "Estimation of tension in cables with intermediate elastic supports using finite-element method", J. Bridge Eng., 16(5), 675-678. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000192
  9. Zui, H., Shinke, T. and Namita, Y.H. (1996), "Practical formulas for estimation of cable tension by vibration method", J. Struct. Eng., ASCE, 122(6), 651-656. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:6(651)
  10. Ren, W.X., Chen, G. and Hu, W.H. (2005), "Empirical formulas to estimate cable tension by cable fundamental frequency", Struct. Eng. Mech., 20(3), 363-380. https://doi.org/10.12989/sem.2005.20.3.363
  11. Fang, Z. and Wang, J. (2012), "Practical formula for cable tension estimation by vibration method", J. Bridge Eng., 17(1), 161-164. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000200
  12. Chen, C.C., Wu, W.H., Huang, C.H. and Lai, G.> (2013), "Determination of stay CABLE FORCE based on effective vibration length accurately estimated from multiple measurements", Smart Struct. Syst., 11(4), 411-433. https://doi.org/10.12989/sss.2013.11.4.411
  13. Kim, B.H. and Park, T. (2007). "Estimation of cable tension force using the frequency-based system identification method", J. Sound Vib., 304(3-5), 660-676. https://doi.org/10.1016/j.jsv.2007.03.012
  14. Zhang, P. (2010), "Cable force identification based on corrected numerical resolution of cable frequency functions", Tongji University Master's Degree Thesis.,12-14. (in Chinese)
  15. Ricciardi, G. and Saitta, F. (2008), "A continuous vibration analysis model for cables with sag and bending stiffness", Eng. Struct., 30(5), 1459-1472. https://doi.org/10.1016/j.engstruct.2007.08.008
  16. Caetano, E.D.S. (2007). "Cable vibrations in cable-stayed bridges", Vol. 9, IABSE.
  17. Yim, J.S., Wang, M.L., Shin, S.W., Yun, C.B., Jung, H.J., Kim, J.T. and Eem, S.H. (2013), "Field application of elasto-magnetic stress sensors for monitoring of CABLE tension FORCE in CABLE-stayed bridges", Smart Struct. Syst., 12(3), 465-482. https://doi.org/10.12989/sss.2013.12.3_4.465

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  11. Autonomous main-cable vibration monitoring using wireless smart sensors for large-scale three-pylon suspension bridges: A case study vol.39, pp.3, 2020, https://doi.org/10.1177/1461348418813760