Experimental investigation and finite element analysis of a four-layered spiral strand bent over a curved support

Abstract Cable saddles are devices used to allow the cable to be continuous over a support. This paper presents the results of experimental and theoretical analyses of the spiral four-layered strand, with a construction of the 1 + 6 + 12 + 18 + 24 (1 × 61) round wires, subjected to tension and bending, where stresses expected to occur at the part of the strand over a saddle are investigated and compared with those under pure tension. In order to precisely model the complex geometry of the strand necessary for its finite element analysis, the geometric parametric equations have been implemented in the CATIA V.5 software to generate the 3D strand mathematical geometric model. To simulate and predict the behaviour of the strand subjected to tension and bending, a 3D model has been implemented in a finite element ABAQUS/Explicit software. An axial tension and bending static test was carried out on a full-size strand specimen that was fully representative from a point of view of used materials, details and anchorages. Comparisons of the resultant stresses in the selected positions of the strand (directly over and closely behind the saddle where the strand was subjected to tension and bending and apart from the saddle where the strand was subjected to pure tension) obtained by the proposed finite element analysis with those obtained by the test were presented. A good agreement between individual approaches was observed. Principally, the required functionality and performance have been implemented in the software and a good agreement with the test results was obtained.

[1]  Xiaolun Huang,et al.  Extension of a cable in the presence of dry friction , 1996 .

[2]  Klaus Feyrer,et al.  Wire Ropes: Tension, Endurance, Reliability , 2007 .

[3]  Michel R. Labrosse,et al.  A finite element model for simple straight wire rope strands , 2000 .

[4]  Ghyslaine McClure,et al.  Application of ADINA to stress analysis of an optical ground wire , 1999 .

[5]  Stanislav Kmet,et al.  Computer modelling of wire strands and ropes Part I: Theory and computer implementation , 2011, Adv. Eng. Softw..

[6]  Mohammed Raoof,et al.  Analysis of Large Diameter Steel Ropes , 1995 .

[7]  C. Jebaraj,et al.  General Thin Rod Model for Preslip Bending Response of Strand , 2000 .

[8]  C. Bert,et al.  Theory of wire rope , 1990 .

[9]  Stanislav Kmet,et al.  Computer modelling of wire strands and ropes part II: Finite element-based applications , 2011, Adv. Eng. Softw..

[10]  Norman Jones,et al.  The response of wire rope strands to axial tensile loads—Part II. Comparison of experimental results and theoretical predictions , 1987 .

[11]  J. Botsis,et al.  Contact Stresses in Multilayered Strands Under Tension and Torsion , 2001 .

[12]  Norman Jones,et al.  Axial–Torsional interactions and wire deformation in 19-wire spiral strand , 1988 .

[13]  Patrice Cartraud,et al.  Analytical modeling of synthetic fiber ropes subjected to axial loads. Part I: A new continuum model for multilayered fibrous structures , 2007 .

[14]  Alain Cardou,et al.  Semicontinuous mathematical model for bending of multilayered wire strands , 1996 .

[15]  W. K. Lee,et al.  An insight into wire rope geometry , 1991 .

[16]  J. Lanteigne,et al.  Theoretical Estimation of the Response of Helically Armored Cables to Tension, Torsion, and Bending , 1985 .

[17]  H. Usabiaga,et al.  Analytical procedure for modelling recursively and wire by wire stranded ropes subjected to traction and torsion loads , 2008 .

[18]  M. Lutchansky Axial Stresses in Armor Wires of Bent Submarine Cables , 1969 .

[19]  C. Chaplin,et al.  Measurement of cyclic bending strains in steel wire rope , 2000 .

[20]  Wg Jiang,et al.  A concise finite element model for three-layered straight wire rope strand , 2000 .

[21]  E. Gaylord,et al.  Design of Steel Structures , 1972 .

[22]  Steven A. Velinsky Discussion: “Closed-Form Analysis for Elastic Deformations of Multilayered Strands” (Kumar, K., and Cochran, Jr., J. E., 1987, ASME J. Appl. Mech., 54, pp. 898–903) , 1988 .

[23]  Wg Jiang,et al.  Statically indeterminate contacts in axially loaded wire strand , 2008 .

[24]  Mohammed Raoof,et al.  PREDICTION OF COUPLED AXIAL/TORSIONAL STIFFNESS COEFFICIENTS OF LOCKED-COIL ROPES , 1998 .

[25]  David Elata,et al.  The mechanical behavior of a wire rope with an independent wire rope core , 2004 .

[26]  I. Páczelt,et al.  Nonlinear contact-theory for analysis of wire rope strand using high-order approximation in the FEM , 2011 .

[27]  Patrice Cartraud,et al.  Validity and limitations of linear analytical models for steel wire strands under axial loading, using a 3D FE model , 2007 .

[28]  R. E. Hobbs,et al.  Changes in wire curvature as a wire rope is bent over a sheave , 1995 .

[29]  J. E. Cochran,et al.  Closed-Form Analysis for Elastic Deformations of Multilayered Strands , 1987 .

[30]  Cengiz Erdönmez,et al.  MODELING AND NUMERICAL ANALYSIS OF THE WIRE STRAND , 2009 .

[31]  Patrice Cartraud,et al.  Analytical modeling of synthetic fiber ropes. Part II: A linear elastic model for 1 + 6 fibrous structures , 2007 .