Journal of Theoretical
and Applied Mechanics

56, 4, pp. 951-960, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.951

Model construction and experimental verification of the equivalent elastic modulus of a double-helix wire rope

Hong Yue Chen, Kun Zhang, Yang Xi Bai, Ying Ma, Han Zhong Deng
To accurately describe mechanical properties of a complex wire rope, a double-helix wire
rope is used as an example in this study. According to the spatial structure characteristics
of the central helical line of each wire rope, the spatial configuration curve for the double-
-helix wire rope is obtained by using differential geometry theory. On the basis of this curve,
the mathematical model of the equivalent elastic modulus of the wire rope is developed,
and the elastic modulus of a 6×7+IWS wire rope is measured using a universal tensile
testing machine. The experimental results are compared with the predicted results to verify
correctness of the elastic modulus prediction of the double-helix wire rope.
Keywords: mechanical properties, wire rope, double-helix wire rope, spatial configuration curve, equivalent elastic modulus

References


Bai C.C., 2011, Simulation and Finite Element Analysis of the Steel-Cord Conveyer Belt on Frag-

mentation, Shanghai: East China University of Science and Technology, 16-18

Elata D., Eshkenazy R., Weiss M.P., 2004, The mechanical behavior of a wire rope with an

independent wire rope core, International Journal of Solids and Structures, 41, 5-6, 1157-1172

Erdönmez C., Erdem Imrak C., 2009, Modeling and numerical analysis of the wire strand,

Journal of Naval Science and Engineering, 5, 1, 30-38

GB8918-2006, National Standards of Steel Wire Rope (Steel wire ropes for important purpose)

GBT228-2002, National Standards of Metallic materials -Tensile Specimens (Metallic materials –

Tensile testing at ambient temperature)

GBT24191-2009, Steel wire ropes – determination of the actual modulus of elasticity

Hobbs R., Nabijou S., 1995, Changes in wire curvature as a wire rope is bent over a sheave,

Journal of Strain Analysis for Engineering Design, 30, 4, 271-281

Hu Y., Hu Z., Ma H., Yan P., Liu Y., 2016, Finite element simulation of axial elastic characteristics

of wire rope with one round strand layer, IEEE International Conference on Computer

Supported Cooperative Work in Design, 16-19

Jolicoeur C., Cardou A., 1991, A numerical comparison of current mathematical models of

twisted wire cables under axisymmetric loads, Journal of Energy Resources and Technology, 113,

, 241-249

Jolicoeur C., Cardou A., 1996, Semi continuous mathematical for bending of multilayered wire

strands, Journal of Engineering Mechanics, 122, 7, 643-650

Liang Q.X., Li C., Sun J., 2011, Numerical simulation of knotted wire rope with finite element

method, Journal of Taiyuan University Science and Technology, 32, 3, 232-234

Liu Y.H., 2014, Research on Inherent Properties and Mechanical Performances of Wire Rope,

Shanxi: Taiyuan University of Technology

Ma Q., 2014, Performance Analysis of Wire Rope Vibration Absorber, Beijing: Beijing University

of Chemical Technology, 17-27

Ma W., Zhu Z.C., Peng Y.X., Chen G.A., 2015, Computer-aided modeling of wire ropes bent

over a sheave, Advance in Engineering Software, 90, C, 11-21

Machida S., Durelli A.J., 1973, Response of a strand to axial and torsional displacements,

Journal of Mechanical Engineering Science, 15, 4, 241-251

Nabijou S., Hobbs R., 1995, Relative movements within wire ropes bent over sheaves, Journal

of Strain Analysis for Engineering Design, 30, 2, 155-165

Prawoto Y., Mazlan R.B., 2012, Wire ropes: computational, mechanical, and metallurgical

properties under tension loading, Computational Materials Science, 56, 174-178

Sathikh S., Moorthy M., Krishnan M., 1996, Symmetric linear elastic model for helical wire

strands under axisymmetric loads, Journal of Strain Analysis for Engineering Design, 31, 5,

-399

Stanov´a E., 2013, Geometric model of the rope created of oval strands, Transport and Logistics,

-7

Stanov´a E., Fedorko G., Fabian M., Kmet S., 2011, Computer modeling of wire stands

and ropes. Part 1: Theory and computer implementation, Advance in Engineering Software, 42, 6,

-315

Wang X.Y., Meng X.B., Wang J.X., Sun Y.H., Gao K., 2015, Mathematical modeling and

geometric analysis for wire rope strands, Applied Mathematical Modelling, 39, 3-4, 1019-1032

Wang Y.J., Li Z.Q., Song X.H., 2004, Theoretical computer and analysis affecting factors on

stranded wire’s elastic module, Journal of Wuhan University of Technology, 26, 4, 80-82

Wu J., Kou Z.M., Liu Y.H., Wu G.X., 2014, Distribution of equivalent stresses and deformations

for 6 strand warrington-seale rope with an independent wire rope core, Journal of China Coal

Society, 39, 11, 2340-2347

Wu W.G., Cao X., 2016, Mechanics model and its equation of wire rope based on elastic thin

rod theory, International Journal of Solids and Structures, 102, 21-29

Xu G.L., Ruan W.J., Wang H., Yang Q.P., 2015, Estimation of 3D effective elastic modulus

for fiber multidirectional filament-wound tube, Journal of Materials Science and Engineering, 31,

, 55-59

Xu G.L., Yang Q.P., Ruan W.J., Wang H., 2012, Estimation and experiment of 3D effective

elastic modulus for fiber hybrid tube considering hybrid effects, Acta Materiae Compositae Sinica,

, 4, 204-209