DOI QR코드

DOI QR Code

Equivalent stiffness method for nonlinear analysis of stay cables

  • Xia, G.Y. (School of Civil Engineering and Architecture, Changsha University of Science and Technology) ;
  • Cai, C.S. (School of Civil Engineering and Architecture, Changsha University of Science and Technology)
  • 투고 : 2010.10.21
  • 심사 : 2011.05.25
  • 발행 : 2011.09.10

초록

In the famous equivalent elasticity modulus method proposed by Ernst for the geometrical nonlinear analysis of stay cables, the cable shape was assumed as a parabolic curve, and only a part of the gravity load normal to the chord was taken into account with the other part of gravity load parallel to the chord being ignored. Using the actual catenary curve and considering the entire gravity load of stay cables, the present study has derived the equivalent stiffness method to analyze the sag effect of stay cables in cable-stayed bridges. The derived equivalent stiffness can be degenerated into Ernst's equivalent elasticity modulus method with some approximations. Therefore, the Ernst's method is a special and approximate formulation of the present method. The derived equivalent stiffness provides a theoretical explanation for the famous Ernst's formula.

키워드

참고문헌

  1. Calcada, R., Cunha, A. and Delgado, R. (2005), "Analysis of traffic-induced vibrations in a cable-stayed bridge. Part : numerical modeling and stochastic simulation", J. Bridge Eng., 10(4), 386-397. https://doi.org/10.1061/(ASCE)1084-0702(2005)10:4(386)
  2. Ernst, H.J. (1965), "Der E-Modal von Seilen unter Berücksichtigung des Durchhanges", Der Bauingenieur, 40(2), 52-55.
  3. Gimsing, N.L. (1997), Cable Supported Bridge-concept and Design, John Wiley & Sons Ltd., England.
  4. Jayaraman, H.B. and Knudson, W.C. (1981), "A curved element for the analysis of cable structures", Comput. Struct., 14(3), 325-333. https://doi.org/10.1016/0045-7949(81)90016-X
  5. Tang, J.M., Shen, Z.Y. and Qian, R.J. (1995), "A nonlinear finite element method with five-node curved element for analysis of cable structures", Proceeding of IASS International Symposium, 2, 929-935.
  6. Tang, M.L. (2003), "3D geometric nonlinear analysis of long-span suspension bridge and its software development", Ph.D. Thesis, China Southwest Jiaotong University, 146-158. (in Chinese)
  7. Yang, M.G. and Chen, Z.Q. (2003), "Nonlinear analysis of cable structures using A two-node curved cable element of high precision", Chinese J. Eng. Mech., 20(1), 42-47. (in Chinese)
  8. Yang, Y.B. and Tsay, J.Y. (2008), " Wind-induced aerostatic instability of cable-supported bridges by a two-stage geometric nonlinear analysis", Interact. Mult. Mech., 1(3).
  9. Wang, P.H., Liu, M.Y., Huang, Y.T. and Lin, L.C. (2010), "Influence of lateral motion of cable stays on cablestayed bridges", Struct. Eng. Mech., 34(6).
  10. Wu, Q.X., Takahashi, K. and Chen, B. (2007), "Influence of cable loosening on nonlinear parametric vibrations of inclined cables", Struct. Eng. Mech., 25(2), 219-238. https://doi.org/10.12989/sem.2007.25.2.219
  11. Wu, W.J. and Cai, C.S. (2009), "Comparison of deck-anchored damper and clipped tuned mass damper on cable vibration reduction", Struct. Eng. Mech., 32(6), 741-754. https://doi.org/10.12989/sem.2009.32.6.741
  12. Wu, W.J. and Cai, C.S. (2010), "Cable vibration control with a semiactive MR damper - numerical simulation and experimental verification", Struct. Eng. Mech., 34(5), 611-62. https://doi.org/10.12989/sem.2010.34.5.611

피인용 문헌

  1. Experimental and theoretical behaviour analysis of steel suspension members subjected to tension and bending vol.13, pp.4, 2011, https://doi.org/10.12989/scs.2012.13.4.343