Analytical procedure for modelling recursively and wire by wire stranded ropes subjected to traction and torsion loads

International Journal of Solids and Structures

Volumn 45, Issue 21, 2008, Pages 5503-5520

  Usabiaga, H ^a   Pagalday, J M ^a  

^a IK4 IKERLAN   (Spain)

Author keywords

General thin rod theory; Resistance of materials; Strain; Stranded rope; Stress; Wire rope; Wires

Indexed keywords

WIRE ROPE;

GENERAL THIN ROD THEORY; RESISTANCE OF MATERIALS; STRAIN; STRANDED ROPE; STRESS; WIRES;

WIRE;

EID: 51449093061     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.04.009     Document Type: Article

References (25)

1. Andorfer, K., 1983. Die zugkraftverteilung in schwingend beanspruchten geraden drahtseilen. Ph.D. thesis, Techn. Universität Graz.
2. Ashkenazi, R., Weiss, M.P., Elata, D., 2003. Torsion and bending stresses in wires of non-rotating tower crane ropes. In: Oipeec technical meeting: experiences with ropes. OIPEEC, Lenzburg, Suiza, pp. 77-99.
3. Benndorf H. Beiträge zur theorie der drahtseile. Zeitschr. d. öster-reichischen Ingenieur-u. Architektenvereins 56 30 (1904) 433-437
4. Cardou A., and Jolicoeur C. Mechanical models of helical strands. Applied Mechanics Reviews 50 (1997) 1-14
5. Costello G. Theory of Wire Rope (1990), Springer-Verlag, New York
6. Durville, D., 1997. Modélisation du comportement mécanique de câbles métalliques. In: 2ème Colloque National en Calculs de Structures, vol. 1. Presses Académiques de l'Ouest, pp. 139-144.
7. Elata D., Ashkenazi R., and Weiss M. The mechanical behaviour of wire rope with internal wire rope core. International Journal of Solids and Structures 41 (2004) 1157-1172
8. Feyrer K. Wire Ropes: Tension Endurance Reliability. first ed. (2006), Springer
9. Frenet, F., 1852. Sur les courbes à double courbure. Ph.D. thesis, Toulouse.
10. Ghoreishi R., Cartraud P., Davies P., and Messager T. Analytical modeling of synthetic fiber ropes subjected to axial loads. Part I: A new continuum model for multilayered fibrous structures. International Journal of Solids and Structures 44 9 (2007) 2924-2942
11. Ghoreishi S., Messager T., Cartraud P., and Davies P. Validity and limitations of linear analytical models for steel wire strand under axial loading, using a 3d fe model. International Journal of Mechanical Sciences 49 11 (2007) 1251-1261
12. Hobbs R.E., and Nabijou S. Change in wire curvature as a wire is bent over a sheave. Journal of Strain Analysis 30 4 (1995) 271-281
13. Hruska F.H. Calculation of stresses in wire ropes. Wire and Wire Products 26 5 (1951) 766-767 799-801
14. Jiang W., Yao M., and Walton J. A concise finite element model for simple straight wire rope strand. International Journal of Mechanical Science 41 (1999) 143-161
15. Jolicoeur C., and Cardou A. A numerical comparison of current mathematical models of twisted wire cables under axisymmetric loads. ASME Journal of Energy Resources Technology 113 4 (1991) 241-249
16. Knapp R. Helical wire stresses in bent cables. Trans. ASME, J. Offshore Mechanics and Arctic Engineering 110 (1988) 55-61
17. Kreyszig E. Differential Geometry (1991), Dover
18. Lee W.K. An insight into wire rope geometry. Journal of Solid and Structures 28 4 (1991) 471-490
19. Love A. Mathematical Theory of Elasticity (1944), Dover Pub., New York
20. Nawrocki A., and Labrosse M. A finite element model for simple straight wire rope strand. Computers and Structures. 77 (2000) 345-369
21. Ramsey H. Theory of thin rods with application to helical constituent wires in cables. International Journal of Mechanical Science 30 8 (1988) 559-570
22. Schiffner, G., 1986. Spannungen in laufenden drahtseilen. Ph.D. thesis, Universität Stuttgart.
23. Serret J.A. Sur quelques formules relatives à la théorie des courbes à double courbure. Journal de Mathematiques 16 (1851)
24. Utting W., and Jones N. Response of wire rope strands to axial tensile loads. Part I: Experimental results and theoretical predictions. International Journal of Mechanical Science 29 9 (1987) 605-619
25. Velinsky S.A., Andewn G., and Costello G. Wire rope with complex cross sections. ASCE Journal of Engineering Mechanics Division 110 3 (1984) 380-391