Structural Engineering and Mechanics

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Static and free vibration analysis of shallow sagging inclined cables

  • Li, Zhi-Jiang (Central South University) ;
  • Li, Peng (China ship development and design center) ;
  • He, Zeng (Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment) ;
  • Cao, Ping (Central South University)
  • Received : 2011.06.15
  • Accepted : 2012.12.01
  • Published : 2013.01.25
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Abstract

Based on link-model, we conducted a static analysis and computation of a three-span suspended cable structure in the present paper, and obtained the static configuration and tension distribution of the cable. Using the link and beam model based on finite element method, we analyzed the vibration modal of three-span suspended cable structure, and compared with the results obtained from ANSYS using link and beam element. The vibration modals of shallow sagging inclined cables calculated from proposed method agrees well with ANSYS results, which validates the proposed method. As a result, the influence of bend stiffness on in-plane natural frequencies is much greater than that on out-of-plane natural frequencies of inclined cables.

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References

  1. Canelas, A. and Sensale, B. (2010), "A boundary knot method for harmonic elastic and viscoelastic problems using single-domain approach", Engineering Analysis with Boundary Elements, 34, 845-855. https://doi.org/10.1016/j.enganabound.2010.05.010
  2. Desai, Y.M., Yu, P. and Popplewell, N. and Shah, A.H. (1995), "Finite element modeling of transmission line galloping", Computers and Structures, 57(3), 407-420. https://doi.org/10.1016/0045-7949(94)00630-L
  3. Desai, Y.M., Yu, P. and Shah, A.H. and Popplewell, N. (1996), "Perturbation based finite element analyses of transmission line galloping", Journal of Sound and Vibration, 191(4), 469-489. https://doi.org/10.1006/jsvi.1996.0135
  4. EI-Attar, M., Ghobarah, A. and Aziz, T.S. (2000), "Non-linear cable response of multiple support periodic excitation", Engineering Structures, 22(10), 1301-1312. https://doi.org/10.1016/S0141-0296(99)00065-6
  5. Hagedorn, P. and Schäfer, B. (1980), "On non-linear free vibrations of an elastic cable", International Journal of Non-Linear Mechanics, 15, 333-340. https://doi.org/10.1016/0020-7462(80)90018-9
  6. Hassan, I.A., Murari, L.G. and Barrington, V.B. (1977), "Free vibrations of cable in three dimensions", Journal of the Structural Division, 103(5), 1127-1136.
  7. Lacarbonara, W. and Pacitti, A. (2008), "Nonlinear modeling of cables with flexural stiffness", Mathematical Problems in Engineering, Vol. 2008, Article ID 370767, 21, doi:10.1155/2008/370767.
  8. Lacarbonara, W., Paolone, A. and Vestroni, F. (2007), "Non-linear modal properties of non-shallow cables", International Journal of Non-Linear Mechanics, 42, 542-554. https://doi.org/10.1016/j.ijnonlinmec.2007.02.013
  9. Nayfeh, A.H. and Balachandran, B. (1989), "Modal interactions in dynamical and structural systems", Journal of Applied Mechanics, 42(2), 175-201. https://doi.org/10.1115/1.3152389
  10. Perkins, N.C and Mote, C.D. (1987), "Three-dimensional vibration of traveling elastic cables", Journal of Sound and Vibration, 114(2), 325-340. https://doi.org/10.1016/S0022-460X(87)80157-8
  11. Perkins, N.C. (1992), "Modal interactions in the non-linear response of elastic cables under parametric/external excitation", International Journal of Non-Linear Mechanics, 27(2), 233-250. https://doi.org/10.1016/0020-7462(92)90083-J
  12. Srinil, N., Rega, G. and Chucheepsakul, S. (2004), "Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables", Journal of Sound and Vibration, 269, 823-852. https://doi.org/10.1016/S0022-460X(03)00137-8
  13. Toge, K. and Hogari, K. (2008), "Effect of cabling on polarization mode dispersion in optical fiber ribbon cables", Optical Fiber Technology, 14, 149-153. https://doi.org/10.1016/j.yofte.2007.09.010
  14. Vassilopoulou, I. and Gantes, C.J. (2010), "Vibration modes and natural frequencies of saddle form cable nets", Computers and Structures, 88, 105-111. https://doi.org/10.1016/j.compstruc.2009.07.002
  15. Wang, L.H. and Zhao, Y.Y. (2009), "Multiple internal resonances and non-planar dynamics of shallow suspended cables to the harmonic excitations", Journal of Sound and Vibration, 319, 1-14. https://doi.org/10.1016/j.jsv.2008.08.020
  16. Yu, Z. and Xu, Y.L. (1999), "Non-linear vibration of cable-damper systems part II: Application and verification", Journal of Sound and Vibration, 225(3), 465-481. https://doi.org/10.1006/jsvi.1999.2204

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