Structural Engineering and Mechanics

  • 제4권3호
  • /
  • Pages.313-329
  • /
  • 1996
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Extension of a cable in the presence of dry friction

  • Huang, Xiaolun (Wittke Waste Equipment, Medicine Hat) ;
  • Vinogradov, Oleg G. (Department of Mechanical Engineering, University of Calgary)
  • 발행 : 1996.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

A mathematical model of a cable as a system of interacting wires with interwire friction taken into account is presented in this paper. The effect of friction forces and the interwire slip on the mechanical properties of tension cables is investigated. It is shown that the slip occurs due to the twisting and bending deformations of wires, and it occurs in the form of micro-slips at the contact patches and macro-slips along the cable. The latter slipping starts near the terminals and propagates towards the middle of the cable with the increase of tension, and its propagation is proportional to the load. As the result of dry friction, the load-elongation characteristics of the cable become quadratic. The energy losses during the extension are shown to be proportional to the cube of the load and in inverse proportion to the friction force, a result qualitatively similar to that for lap joints. Presented examples show that the model is in qualitative agreement with the known experimental data.

키워드

참고문헌

  1. Cappa, P. (1987), "An experimental study of wire strains in an undamaged and damaged steel strand subjected to tensile load", Exp. Mech., Dec., 346-349.
  2. Casey, N.F., and Lee, W. K.(1989), "The fatigue failure of large diameter six strand wire rope", Int. J. Fatigue, 11(2), 78-84. https://doi.org/10.1016/0142-1123(89)90001-7
  3. Chi, M. (1974), "Analysis of multi-wire strands in tension and combinded tension and torsion", Developments in Theoretical and Applied Mechanics, Proceedings of the Seventh Southeastern Conference on Theoretical and Applied Mechanics, 599-639.
  4. Claren, R., and Diana, G. (1969), "Mathematical analysis of transmission line vibration", IEEE Transaction on Power Apparatus and Systems, 88(12), 1741-1767.
  5. Costello, G. A. (1990), Theory of Wire Rope, New York: Springer-Verlag,
  6. Goodman, L.E. (1959), "A review of progress in analysis of interfacial slip damping", Structural Damping, Ruzicka, J.E. ed., ASME, New York, 35-48
  7. Huang, N.C.(1973), "Theories of elastic slender curved rods", ZAMP, 24, 1-19. https://doi.org/10.1007/BF01593995
  8. Huang, N. C. (1978), "Finite extension of an elastic strand with a central core", J. of Applied Mechanics, ASME, 44, 852-858.
  9. Huang, X. and Vinogradov, O.G. (1992), "Interwire slip and its influence on the dynamic properties of tension cables", 2nd Int. Offshore and Polar Engineering Conference, Paper No.ISOPE-92-T5-01, San Francisco, June 14-19.
  10. Huang, X., and Vinogradov, O. (1994), "Analysis of dry friction hysteresis in a cable under uniform bending", Structural Engineering and Mechanics, 2(1), 63-80. https://doi.org/10.12989/sem.1994.2.1.063
  11. LeClair, R. A. and Costello, G. A. (1988), "Axial, bending and torsional loading of stand with friction", J. of Offshore Mech. and Arctic. Engrg. , ASME, 110, 38-42. https://doi.org/10.1115/1.3257121
  12. Love, A. E. H. (1944), A treatise on the mathematical theory of elasticity, New York: Dover Publications.
  13. Knapp, R.H. (1979), "Derivation of a new stiffness matrix for helically armoured cable considering tension and torsion", Int. J. Numer. Mech. Engrg., 14, 515-529. https://doi.org/10.1002/nme.1620140405
  14. Kumar, K., and Cochran, J.E. Jr. (1987), "Closed-form analysis for elastic deformation of multilayered strands", J. of Applied Mechanics, ASME, 54, 898-903. https://doi.org/10.1115/1.3173136
  15. Machida, S., and Durelli, A. J. (1973), "Response of a strand to axial torsional displacements", J. of Mech. Eng. Sci., 15, 241-251. https://doi.org/10.1243/JMES_JOUR_1973_015_045_02
  16. Phillips, J. W., and Costello, G. A. (1973), "Contact stresses in twisted wire cables", J. of Eng. Mech., ASCE, 99, 331-341.
  17. Pipes, L. A. (1936), "Cable and damper vibration studies", AIEE Transactions, 55, 600-614.
  18. Pivovarov, I. and Vinogradov, O. G. (1985), "The Phenomenon of damping in stranded cables", Proceedings of 26th SDM Conference, Part 2, Orlando, U.S.A., 232-237.
  19. Ramsey, H. (1990), "Analysis of interwire friction in multilayered cables under uniform extension and twisting", Int. J. Mech. Sci., 32(8), 709-716. https://doi.org/10.1016/0020-7403(90)90011-7
  20. Utting, W. S., and Jones, N. (1987), "The response of wire rope strands to axial tensile loads part I: Experimental results and theoretical predictions", Int. J. Mech. Sci., 29(9), 605-619. https://doi.org/10.1016/0020-7403(87)90033-6
  21. Vinogradov, O. and Huang, X. (1991), "Dry friction losses in an axially deformed stranded cable", 1991 ASME Pressure Vessel & Piping Conference, PVP-Vol. 211, San Diego, USA, June 23-27.
  22. Vinogradov, O., and Atatekin, I.S. (1986), "Internal friction due to twist in bent cable", J. of Engrg. Mech., ASCE, 112(9), 859-873. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:9(859)
  23. Vranish, J. M. (1990), "Advanced mechanisms for robotics", NASA Conference Publication, 3109, 1, Technology 2000, November 27-28.
  24. Yu, A. (1952), "Vibration damping of stranded cable", Proc. Soc. Exp. Stress Analysis, 9, 141-158.

피인용 문헌

  1. Computer modelling of wire strands and ropes part II: Finite element-based applications vol.42, pp.6, 2011, https://doi.org/10.1016/j.advengsoft.2011.02.010
  2. Experimental investigation and finite element analysis of a four-layered spiral strand bent over a curved support vol.57, 2013, https://doi.org/10.1016/j.engstruct.2013.09.019
  3. Dry friction losses in axially loaded cables vol.4, pp.3, 1996, https://doi.org/10.12989/sem.1996.4.3.330
  4. Contact force and mechanical loss of multistage cable under tension and bending vol.32, pp.5, 2016, https://doi.org/10.1007/s10409-016-0590-2
  5. Mechanical analysis of second order helical structure in electrical cable vol.44, pp.5, 2007, https://doi.org/10.1016/j.ijsolstr.2006.06.045
  6. Non-linear rheology of tension structural element under single and variable loading history Part I: Theoretical derivations vol.18, pp.5, 2004, https://doi.org/10.12989/sem.2004.18.5.565
  7. An analytical study on the static vertical stiffness of wire rope isolators vol.30, pp.1, 2016, https://doi.org/10.1007/s12206-015-1232-5
  8. Non-linear rheology of tension structural element under single and variable loading history Part II: Creep of steel rope - examples and parametrical study vol.18, pp.5, 2004, https://doi.org/10.12989/sem.2004.18.5.591
  9. Frictional Dissipation in Axially Loaded Simple Straight Strands vol.126, pp.6, 2000, https://doi.org/10.1061/(ASCE)0733-9399(2000)126:6(641)
  10. Load Transfer and Recovery Length in Parallel Wires of Suspension Bridge Cables vol.137, pp.4, 2011, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000220
  11. An investigation on stressing and breakage response of a prestressing strand using an efficient finite element model vol.123, 2016, https://doi.org/10.1016/j.engstruct.2016.05.030