New Approaches for Model Generation and Analysis for Wire Rope

  • Cengiz Erdönmez
  • Cevat Erdem İmrak
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6785)


Independent wire rope cores are composed by helically wrapping a wire strand over a straight wire strand. Outer strand of the wire rope is composed with nested helical geometry which is difficult to model for analysis. In this paper a wire by wire based, a more realistic analysis model determination of an independent wire rope core is defined with the parametric equations of the nested helical geometry. The locations of the single and nested helical wires are created and the meshed model of each wire is constructed separately. Wire rope is assembled and the axial loading model is constructed and analyzed using finite element analysis. The obtained numerical results are compared with the theoretical results. The results have in good agreement and the wire by wire analysis gives insight about the wire loads acting within an independent wire rope core.


Wire strand wire rope independent wire rope core wire rope modeling 


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  1. 1.
    Love, A.E.H.: A treatise on the mathematical theory of elasticity, 4th edn., vol. ch. XVIII-XIX, pp. 381–426. Dover Publications, New York (1944)zbMATHGoogle Scholar
  2. 2.
    Costello, G.A., Sinha, S.K.: Static Behaviour of Wire Rope. Proceedings ASCE, Journal of Engineering Mechanical Division 103(EM6) 103, 1011–1022 (1977)Google Scholar
  3. 3.
    Costello, G.A.: Theory of wire rope. Springer, Heidelberg (1990)CrossRefGoogle Scholar
  4. 4.
    Phillips, J.W., Costello, G.A.: Analysis of wire ropes with internal-wire-rope cores. Transactions of the ASME 52, 510–516 (1985)CrossRefGoogle Scholar
  5. 5.
    Jolicoeur, C., Cardou, A.: A numerical Comparison of current mathematical models of Twisted wire cables under axisymmetric loads. Journal of Energy Resources Technology 113, 241–249 (1991)CrossRefGoogle Scholar
  6. 6.
    Velinsky, S.A.: On the design of wire rope. Transactions of the ASME, Journal of Mechanics, Transmissions, and Automation in Design 111, 382–388 (1989)CrossRefGoogle Scholar
  7. 7.
    Velinsky, S.A., Anderson, G.L., Costello, G.: Wire rope with complex cross sections. Journal of Engineering Mechanics 110(3), 380–391 (1984)CrossRefGoogle Scholar
  8. 8.
    Velinsky, S.A.: General nonlinear theory for complex wire ropes. International Journal of Mechanical Science 27, 497–507 (1985)CrossRefGoogle Scholar
  9. 9.
    Velinsky, S.A.: On the design of wire rope. Transactions of the ASME, Journal of Mechanics, Transmissions, and Automation in Design 111, 382–388 (1989)CrossRefGoogle Scholar
  10. 10.
    Jiang, W.G., Yao, M.S., Walton, J.M.: A concise finite element model for simple straight wire rope strand. Int. Journal of Mechanical Sciences 41, 143–161 (1999)CrossRefzbMATHGoogle Scholar
  11. 11.
    Jiang, W.G., et al.: A concise finite element model for three-layered straight wire rope strand. International Journal of Mechanical Sciences 42, 63–86 (2000)CrossRefzbMATHGoogle Scholar
  12. 12.
    Elata, D., Eshkenazy, R., Weiss, M.P.: The mechanical behavior of a wire rope with an independent wire rope core. Int. Journal of Solids and Structures 41, 1157–1172 (2004)CrossRefzbMATHGoogle Scholar
  13. 13.
    Usabiaga, H., Pagalday, J.M.: Analytical procedure for modelling recursively and wire by wire stranded ropes subjected to traction and torsion loads. International Journal of Solids and Structures 45(21), 5503–5520 (2008)CrossRefzbMATHGoogle Scholar
  14. 14.
    Erdönmez, C., İmrak, C.E.: Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis. Strojniški vestnik - Journal of Mechanical Engineering (2011)Google Scholar
  15. 15.
    İmrak, C.E., Erdönmez, C.: On the problem of wire rope model generation with axial loading. Mathematical and Computational Applications 15(2), 259–268 (2010)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Cengiz Erdönmez
    • 1
  • Cevat Erdem İmrak
    • 2
  1. 1.Computational Science and Engineering ProgramIstanbul Technical University, Institute of InformaticsMaslakTurkey
  2. 2.Faculty of Mechanical Engineering, Mechanical Engineering Department, GümüşsuyuIstanbul Technical UniversityTurkey

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