Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
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Analytic Investigation of Multi-Component Elastic Cables under 3-D Concentrated Static Loads

3차원 정적 집중하중을 받는 복합 탄성 케이블의 정적 해석

  • Choi, Yoon-Rak (School of Naval Architecture and Ocean Engineering, University of Ulsan)
  • 최윤락 (울산대학교 조선해양공학부)
  • Received : 2014.05.16
  • Accepted : 2014.06.17
  • Published : 2014.06.30
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Abstract

An elastic cable with piecewise constant properties under the action of concentrated static loads is studied analytically. Analytic solutions for catenary cables are combined at the discontinuous points caused by the discontinuous elastic properties or concentrated loads. The application of the boundary conditions at both ends of the multi-component cable results in three algebraic non-linear equations for three unknown parameters, which are determined numerically. The solutions for the shape, tension, elongation, and cross-sectional contraction of the cable are expressed in closed forms. Some examples are given for cases of two- and three-dimensional loads.

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References

  1. Berteaux, H.O., 1976. Buoy Engineering. Wiley, New York.
  2. Impollonia, N., Ricciardi, G., Saitta, F., 2011. Statics of Elastic Cables under 3D Point Forces. International Journal of Solids and Structures, 48(9), 1268-1276. https://doi.org/10.1016/j.ijsolstr.2011.01.007
  3. Irvine, H.M., Sinclair, G.B., 1976. The Suspended Elastic Cable under the Action of Concentrated Vertical Loads. International Journal of Solids and Structures, 12(4), 309-317. https://doi.org/10.1016/0020-7683(76)90080-9
  4. Irvine, H.M., 1981. Cable Structures, MIT Press, Cambridge.
  5. Peyrot, A.H., Goulois, A.M., 1979. Analysis of Cable Structures, Computers & Structures, 10(5), 805-813. https://doi.org/10.1016/0045-7949(79)90044-0
  6. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., 1992. Numerical Recipes in Fortran 77. 2nd Edition., Cambridge University Press, New York.
  7. Samset, I., 1985. Winch and Cable Systems. Martinus Nijhoff/Dr W. Junk Publ., Dordrecht, The Netherlands.
  8. Sinclair, G.B., Hodder, S.B., 1981. Exact Solutions for Elastic Cable Systems. International Journal of Solids and Structures, 17(9), 845-854. https://doi.org/10.1016/0020-7683(81)90099-8
  9. Smith, R.J., MacFarlane, C.J., 2001. Statics of a Three Component Mooring Line. Ocean Engineering, 28(7), 899-914. https://doi.org/10.1016/S0029-8018(00)00058-5
  10. Such, M., Jimenez-Octavio, J.R., Carnicero, A., Lopez-Garcia, O., 2009. An Approach Based on the Catenary Equation to Deal with Static Analysis of Three Dimensional Cable Structures. Engineering Structures, 31(90), 2162-2170. https://doi.org/10.1016/j.engstruct.2009.03.018