[en] Steel wire ropes are used for numerous industrial applications such as ships, elevators, cranes and bridges. A wire rope consists of numerous thin, steel wires and its geometrical construction can be explained in two steps. First, several wires are wrapped together in a helical shape called a strand. Second, several strands are wrapped together in a helical shape to form the final wire rope. In most cases, each strand is compacted before they are wrapped together to form the final wire rope. Compaction generally reduces contact stresses and thereby, extends ropes’ service life. Not many models have been proposed to predict the compaction process and its influence on the strand’s mechanical behavior during service. This contribution proposes a computationally efficient approach that consists of two elastoplastic mechanical models. The first model, describing the compaction process, is of a 2D plane strain nature and is therefore fast. Subsequently, the 2D geometry and plastic variables predicted by the compaction model are used to generate the initial geometry and initial plastic state of a 3D model, that is subsequently used to describe the strand’s mechanical behavior during service (we limit ourselves to tension). The results of the approach, with and without the mapping of the plastic variables, are compared to experimental measurements and the results without compaction. This is investigated for two real world strands.
Disciplines :
Science des matériaux & ingénierie Ingénierie civile Ingénierie mécanique
Auteur, co-auteur :
CHEN, Li ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Magliulo, Marco; Kiswire International S.A.
BEEX, Lars ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
A mechanical model for compaction of strands in wire ropes
Costello, G.A., Theory of Wire Rope. 1997, Springer-Verlag New York.
Danenko, V.F., Gurevich, L.M., Kushkina, E.Y., Gladskikh, E.B., New applications of compacted steel strands and wire rope. Steel Transl. 46:11 (2016), 757–763.
de Menezes, E.A., Marczak, R.J., Comparative analysis of different approaches for computing axial, torsional and bending stiffnesses of cables and wire ropes. Eng. Struct., 241, 2021, 112487.
Duprez, M., Bordas, S.P.A., Bucki, M., Bui, H.P., Chouly, F., Lleras, V., Lobos, C., Lozinski, A., Rohan, P.-Y., Tomar, S., Quantifying discretization errors for soft tissue simulation in computer assisted surgery: A preliminary study. Appl. Math. Model. 77 (2020), 709–723.
Elata, D., Eshkenazy, R., Weiss, M., The mechanical behavior of a wire rope with an independent wire rope core. Int. J. Solids Struct. 41:5 (2004), 1157–1172.
Erdönmez, C., Computational design of the compacted wire strand model and its behavior under axial elongation. Int. J. Precis. Eng. Manuf. 20:11 (2019), 1957–1968.
Erdönmez, C., Analysis and design of compacted IWRC meshed model under axial strain. Int. J. Mech. Mater. Des. 16:3 (2020), 647–661.
Hesch, C., Khristenko, U., Krause, R., Popp, A., Seitz, A., Wall, W., Wohlmuth, B., Frontiers in mortar methods for isogeometric analysis. Schröder, J., Wriggers, P., (eds.) Non-Standard Discretisation Methods in Solid Mechanics, 2022, Springer International Publishing, Cham, 405–447.
Imrak, C.E., Erdönmez, C., On the problem of wire rope model generation with axial loading. Math. Comput. Appl. 15:2 (2010), 259–268.
Jiang, W., Henshall, J., Walton, J., A concise finite element model for three-layered straight wire rope strand. Int. J. Mech. Sci. 42:1 (2000), 63–86.
Jiang, W., Yao, M., Walton, J., A concise finite element model for simple straight wire rope strand. Int. J. Mech. Sci. 41:2 (1999), 143–161.
Kosec, G., Slak, J., Depolli, M., Trobec, R., Pereira, K., Tomar, S., Jacquemin, T., Bordas, S.P., Abdel Wahab, M., Weak and strong from meshless methods for linear elastic problem under fretting contact conditions. Tribol. Int. 138 (2019), 392–402.
Kumar, K., Goyal, D., Banwait, S.S., Effect of key parameters on fretting behaviour of wire rope: A review. Arch. Comput. Methods Eng. 27:2 (2020), 549–561.
Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity. 2013, Cambridge University Press.
Magliulo, M., Zilian, A., Beex, L.A.A., Contact between shear-deformable beams with elliptical cross sections. Acta Mech. 231:1 (2020), 273–291.
Nemov, A., Boso, D., Voynov, I., Borovkov, A., Schrefler, B., Generalized stiffness coefficients for ITER superconducting cables, direct FE modeling and initial configuration. Cryogenics 50:5 (2010), 304–313.
Pereira, K., Bordas, S., Tomar, S., Trobec, R., Depolli, M., Kosec, G., Abdel Wahab, M., On the convergence of stresses in fretting fatigue. Materials, 9(8), 2016.
Stanova, E., Fedorko, G., Fabian, M., Kmet, S., Computer modelling of wire strands and ropes part I: Theory and computer implementation. Adv. Eng. Softw. 42:6 (2011), 305–315.
Stanova, E., Fedorko, G., Fabian, M., Kmet, S., Computer modelling of wire strands and ropes part II: Finite element-based applications. Adv. Eng. Softw. 42:6 (2011), 322–331.
Systemes, D., Abaqus theory manual. Dessault Systémes, Providence, RI, 2007.
Szade, P., Szot, M., Kubiś, B., Thermoelastic effect in compacted steel wire ropes under uniaxial loading. Quant. InfraRed Thermogr. J. 18:4 (2021), 252–268.
Torgersen, H., Endurance of compacted steel wire ropes. J. Forest Eng. 11:2 (2000), 43–49.
Torkar, M., Arzenšek, B., Failure of crane wire rope. Eng. Fail. Anal. 9:2 (2002), 227–233.
Velinsky, S.A., On the design of wire rope. International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 1988, 315–322, 10.1115/DETC1988-0041.
Wang, X.-Y., Meng, X.-B., Wang, J.-X., Sun, Y.-H., Gao, K., Mathematical modeling and geometric analysis for wire rope strands. Appl. Math. Model. 39:3 (2015), 1019–1032.
Wang, D., Zhang, D., Wang, S., Ge, S., Finite element analysis of hoisting rope and fretting wear evolution and fatigue life estimation of steel wires. Eng. Fail. Anal. 27 (2013), 173–193.
Wikipedia contributors, D., Frenet–serret formulas — Wikipedia, the free encyclopedia. 2022 [Online; accessed 13-May-2022].
Wokem, C.O., Fatigue prediction for strands and wire ropes in tension and bent over sheave wheel. (Ph.D. thesis), 2015, University of Alberta, Canada.
Wu, W., Cao, X., Mechanics model and its equation of wire rope based on elastic thin rod theory. Int. J. Solids Struct. 102–103 (2016), 21–29.
Zeroukhi, Y., Vega, G., Juszczak, E.N., Morganti, F., Komeza, K., 3D electro-mechanical modeling of conductor after stranding and compacting process simulation. Int. J. Appl. Electromagn. Mech. 45 (2014), 123–129 1-4.
