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A finite element model for independent wire rope core with double helical geometry subjected to axial loads

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Abstract

Due to the complex geometry of wires within a wire rope, it is difficult to model and analyse independent wire rope core accurately (IWRC). In this paper, a more realistic three-dimensional modelling approach and finite element analysis of wire ropes are explained. Single helical geometry is enough to model simple straight strand while IWRC has a more complex geometry by inclusion of double helical wires in outer strands. Taking the advantage of the double helical wires, three-dimensional IWRCs modelling is applied for both right regular lay and lang lay IWRCs. Wire-by-wire based results are gathered by using the proposed modelling and analysis method under various loading conditions. Illustrative examples are given for those show the accuracy and the robustness of the present FE analysis scheme with considering frictional properties and contact interactions between wires. FE analysis results are compared with the analytical and available test results and show reasonable agreement with a simpler and more practical approach.

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References

  • Cartraud P, Messager T 2006 Computational homogenization of periodic beam-like structures. Int. J. Solids and Struct. 43(4): 686–696

    Article  MathSciNet  MATH  Google Scholar 

  • Costello G A, Sinha S K 1977 Static behaviour of wire rope. Proceedings ASCE, J. Eng. Mech. Div. 103(No.EM6): 1011–1022

    Google Scholar 

  • Costello G A 1990 Theory of wire rope. Berlin: Springer, pp. 44–57

    Google Scholar 

  • Elata D, Eshkenazy R, Weiss M P 2004 The mechanical behavior of a wire rope with an independent wire rope core. Int. J. Solids and Struct. 41: 1157–1172

    Article  MATH  Google Scholar 

  • Fekr M R, McClure G, Farzaneh M 1999 Application of ADINA to stress analysis of an optical ground wire. Computers and Struct. 72: 301–316

    Article  MATH  Google Scholar 

  • Ghoreishi S R, Messager T, Cartraud P, Davies P 2007 Validity and limitations of linear analytical models for steel wire strands under axial loading, using a 3D FE model. Int. J. Mech. Sci. 49: 1251–1261

    Article  Google Scholar 

  • İmrak C E, Erdönmez C 2010 On the problem of wire rope model generation with axial loading. Mathemat. Computational Applications 15(2): 259–268

    MATH  Google Scholar 

  • Jiang W G, Henshall J L 1999 The analysis of termination effects in wire strand using finite element method. J. Strain Anal. 34: 1, 31–38

    Article  Google Scholar 

  • Jiang W G, Henshall J L, Walton J M 2000 A concise finite element model for three-layered straight wire rope strand. Int. J. Mech. Sci. 42: 63–86

    Article  MATH  Google Scholar 

  • Jiang W G, Yao M S, Walton J M 1999 A concise finite element model for simple straight wire rope strand. Int. J. Mech. Sci. 41: 143–61

    Article  MATH  Google Scholar 

  • Jiang W-G, Warby M K, Henshall J L 2008 Statically indeterminate contacts in axially loaded wire strand. Eur. J. Mech. A/Solids 27: 69–78

    Article  MATH  Google Scholar 

  • Jolicoeur C, Cardou A 1991 A numerical Comparison of current mathematical models of Twisted wire cables under axisymmetric loads. J. Energy Resourc. Technol. 113: 241–249

    Article  Google Scholar 

  • Love A E H 1944 A treatise on the mathematical theory of elasticity. 4th ed., New York: Dover Publications, Chapter XVIII-XIX, pp. 381–426

  • Messager T, Cartraud P 2008 Homogenization of helical beam-like structures: application to single-walled carbon nanotubes. Computational Mech. 41(2): 335–346

    Article  MATH  Google Scholar 

  • Nawrocki A, Labrosse M 2000 A finite element model for simple straight wire rope strands. Computers and Struct. 77: 345–359

    Article  Google Scholar 

  • Phillips J W, Costello G A 1985 Analysis of wire ropes with internal-wire-rope cores. Trans. ASME 52: 510–516

    Article  Google Scholar 

  • Usabiaga H, Pagalday J M 2008 Analytical procedure for modelling recursively and wire by wire stranded ropes subjected to traction and torsion loads. Int. J. Solids and Struct. 45(21): 5503–5520

    Article  MATH  Google Scholar 

  • Utting W S, Jones N 1987 The response of wire rope strands to axial tensile loads: Part I. and Part II. Experimental results and theoretical predictions. Int. J. Mech. Sci. 29(9): 605–619, 29(9): 621–636

    Article  Google Scholar 

  • Velinsky S A, Anderson G L, Costello G A 1984 Wire rope with complex cross sections. J. Eng. Mech. 110(3): 380–391

    Article  Google Scholar 

  • Velinsky S A 1985 General nonlinear theory for complex wire ropes. Int. J. Mech. Sci. 27: 497–507

    Article  Google Scholar 

  • Velinsky S A 1989 On the design of wire rope. Trans. ASME, J. Mech., Transmissions, and Automation in Design 111: 382–388

    Article  Google Scholar 

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Correspondence to CENGIZ ERDONMEZ.

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ERDONMEZ, C., IMRAK, C.E. A finite element model for independent wire rope core with double helical geometry subjected to axial loads. Sadhana 36, 995–1008 (2011). https://doi.org/10.1007/s12046-011-0053-1

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  • DOI: https://doi.org/10.1007/s12046-011-0053-1

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