DOI QR코드

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Dry friction losses in axially loaded cables

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

초록

A model of a cable comprising interacting wires with dry friction forces at the interfaces is subjected to a quasi-static cyclic loading. The first cycle of this process, comprising of axial loading, unloading and reloading is investigated analytically. Explicit load-elongation relationships are obtained for all of the above phases of the cycle. An expression for the hysteretic losses is also obtained in an explicit form. It is shown that losses are proportional to the third power of the amplitude of the oscillating axial force, and are in inverse proportion to the interwire friction forces. The results obtained are used to introduce a model of a cable as a solid rod with an equivalent stiffness and damping properties of the rod material. It is shown that the stiffness of the equivalent rod is weakly nonlinear, whereas the viscous damping coefficient is proportional to the amplitude of the oscillation. Some numerical results illustrating the effect of cable parameters on the losses are given.

키워드

참고문헌

  1. Costello, G. A. (1983), "Stresses in multilayered cables", Proc. 2nd Int. Offshore Mech. and Arctic. Engrg., New York, 355-359.
  2. Huang, X. and Vinogradov, O. G. (1992), "Interwire slip and its influence on the dynamic properties of tension cables", 2nd International Offshore and Polar Engineering Conference, Paper No. ISOPE-92-T4-01, San Francisco, USA, June 14-19.
  3. Huang, X. and Vinogradov, O.G. (1994), "Analysis of dry friction hysteresis in a cable under uniform bending", Structual Engineering and Mechanics, 2(1), 63-80. https://doi.org/10.12989/sem.1994.2.1.063
  4. Huang, X. and Vinogradov, O.G. (1996), "Extension of a cable in presence of dry friction", Structural Engineering and Mechanics, 4(3), 313-329. https://doi.org/10.12989/sem.1996.4.3.313
  5. Goodman, L. E. (1959), "A review of progress in analysis of internal slip damping", Structural Damping, Ruzicka, J.E. ed., ASME, New York, 35-48.
  6. Utting, W.S., amd 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
  7. Vinogradov, O. G., Atatekin, I. S. (1986), "Internal friction due to twist in bent cable", J. of Eng. Mech., ASCE, 112(9), 859-873. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:9(859)

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