Finite element analysis of spiral strands with different shapes subjected to axial loads

A new mathematical geometric model of spiral oval wire strands is proposed.Concrete forms of derived parametric geometric equations are presented.Results of FE analyses of four spiral strands with different shapes are presented.Responses of round, triangular and oval strands under axial loads are compared.Result ant stress and/or deformation behaviours are discussed. In this paper a new mathematical geometric model of spiral one or two-layered oval wire strands are proposed and an accurate computational two-layered oval strand 3D solid model, which is used for a finite element analysis, is presented. The three dimensional curve geometry of wires axes in the individual layers of the oval strand consists of straight linear and helical segments. The present geometric model fully considers the spatial configuration of individual wires in the right and left hand lay strand. Derived geometric equations were used for the generation of accurate 3D geometric and computational models for different types of strands. This study develops 3D finite element models of two-layer spiral round, triangular and oval strands subjected to axial loads using ABAQUS/Explicit software. Accurate modelling and understanding of their mechanical behaviour is complicated due to the complex contact interactions and conditions that exist between individual spirally wound wires. Comparisons of predicted responses for the strands with different shapes and constructions are presented. Resultant stress and/or deformation behaviours are discussed.

[1]  Stanislav Kmet,et al.  Computer modelling and finite element analysis of spiral triangular strands , 2014, Adv. Eng. Softw..

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

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

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

[5]  S. A. Velinsky,et al.  General nonlinear theory for complex wire rope , 1985 .

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

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

[8]  Ted A. Conway,et al.  Frictional Dissipation in Axially Loaded Simple Straight Strands , 2000 .

[9]  Cengiz Erdönmez,et al.  Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis , 2011 .

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

[11]  C. R. Chaplin,et al.  Wire strain variations in normal and overloaded ropes in tension-tension fatigue and their effect on endurance , 2001 .

[12]  A. Brügger,et al.  Measurement of Strain/Load Transfer in Parallel Seven-wire Strands with Neutron Diffraction , 2010 .

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

[14]  Wg Jiang,et al.  A concise finite element model for pure bending analysis of simple wire strand , 2012 .

[15]  Wei Zhou,et al.  A novel finite element model for single-layered wire strand , 2013 .

[16]  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 .

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

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

[19]  Ivan Argatov,et al.  Response of a wire rope strand to axial and torsional loads: Asymptotic modeling of the effect of interwire contact deformations , 2011 .

[20]  C. R. Chaplin,et al.  Modelling the cabling of rope systems , 2007 .

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

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

[23]  Stephen W. Jones,et al.  Full 3D Finite Element Modelling of Spiral Strand Cables , 2012 .

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

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

[26]  Shirong Ge,et al.  Finite element analysis of hoisting rope and fretting wear evolution and fatigue life estimation of steel wires , 2013 .

[27]  Xiao Yu Wang,et al.  Mathematical modeling and geometric analysis for wire rope strands , 2015 .

[28]  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 .

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

[30]  Patrice Cartraud,et al.  Mechanical modeling of helical structures accounting for translational invariance. Part 1: Static behavior , 2013, International Journal of Solids and Structures.

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

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

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

[34]  Yunan Prawoto,et al.  Wire ropes: Computational, mechanical, and metallurgical properties under tension loading , 2012 .

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