Extensible Cable Network Analysis through a Nonlinear Optimization Code

  • J. P. Coyette
  • P. Guisset
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 26)


Cable networks are geometrically highly nonlinear structures. This paper presents an elegant way to find the equilibrium shape of extensible cable networks by minimization of total potential energy. Both theoritical and practical aspects of the method are described below. Some applications are presented, including cases with special boundary conditions such as unilateral contact without friction. Finally, it is shown how a dynamic analysis can be performed and some information about the developed software is given.


Total Potential Energy Equilibrium Shape Unilateral Contact Special Boundary Condition Cable Network 
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  1. Christiansen, H., and M. Stephenson (1983). MOVIE-BYU A general purpo-computer graphics system, Brigham Young University.Google Scholar
  2. Fried, I. (1982). Large deformation static and dynamic finite element analysis of extensible cables. Comput. Structures, 15, 315–319.MathSciNetMATHCrossRefGoogle Scholar
  3. Hughes, T.J.R., and W.K. Liu (1978). Implicit-explicit finite elements in transient analysis : implementation and numerical examples. J. Appl. Mech., 45, 375–378.ADSMATHCrossRefGoogle Scholar
  4. Lewis, W.J., and al. (1984). Dynamic relaxation analysis of the nonlinear static response of pretensioned cable roofs. Comput. Structures, 18, 989–997.MATHCrossRefGoogle Scholar
  5. Murtagh, B.A., and M.A. Saunders (1978). Large scale linearly constrained optimization. Math. Prog., 14, 41–72.MathSciNetMATHCrossRefGoogle Scholar
  6. Murtagh, B.A., and M.A. Saunders (1983). MINOS 5–0 User’s Guide, Technical report SOL 83–20, Standford University.Google Scholar
  7. Peyrot, A.H., and A.M. Goulois (1979). Analysis of cable structures. Comput. Structures, 10, 805–813.CrossRefGoogle Scholar
  8. Washizu, K. (1982). Variational Methods in Elasticity and Plasticity. Pergamon Press, London.MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1987

Authors and Affiliations

  • J. P. Coyette
    • 1
  • P. Guisset
    • 1
  1. 1.Civil Engineering DepartmentUniversité de LouvainLouvain-la-NeuveBelgium

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