Bending Behavior of Helically Wrapped Cables
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VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 131, Issue 5
Abstract
A mesoscale mechanical model of the bending behavior of helically wrapped cables under tension is developed. The model accounts for the nonlinear dissipative behavior of the cable arising from the slippage of wires under friction forces. It is shown that the bending stiffness rapidly diminishes with increasing cable curvature, over a range that can be as large as 2 orders of magnitude. The model can be used to assess the static and dynamic response of helically wrapped cables in such applications as conductors in substations and transmission lines subjected to earthquake effects, where significant changes in the cable curvature may occur.
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Acknowledgments
This paper is based on research supported by the Lifelines Program of the Pacific Earthquake Engineering Research Center funded by the Pacific Gas & Electric Co. and the California Energy Commission. Partial support was also provided by the Earthquake Engineering Research Centers Program of the National Science Foundation under Award No. EEC-9701568. This support is gratefully acknowledged. The writers also wish to thank Eric Fujisaki of PG&E, with whom valuable discussions were held throughout the course of this research.
References
ALCOA (1974). Electrical conductors, Pittsburgh.
Cardou, A., and Jolicoeur, C. (1997). “Mechanical models of helical strands.” Appl. Mech. Rev., 50(1), 1–14.
Costello, G. A. (1978). “Analytical investigation of wire rope.” Appl. Mech. Rev., 31(7), 897–900.
Costello, G. A. (1997). Theory of Wire Rope, 2nd Ed., Springer, New York.
Costello, G. A., and Butson, G. J. (1982). “Simplified bending theory for wire rope.” J. Eng. Mech. Div., 108(2), 219–227.
Flouriot, S., Forest, S., and Remy, L. (2003). “Strain localization phenomena under cyclic loading: application to fatigue of single crystals.” Comput. Mater. Sci., 26, 61–70.
Hong, K.-J. (2003). “Dynamic interaction in cable-connected equipment.” PhD Philosopy dissertation, Univ. of California, Berkeley, Calif.
Hong, K.-J., Der Kiureghian, A., and Sackman, J. L. (2001). “Seismic interaction in cableconnected equipment items.” J. Eng. Mech., 127(11), 1096–1105.
Huang, X., and Vinogradov, O. (1993). “Analysis of dry friction hysteresis in cables under uniform bending.” Proc. of Damping 93, San Francisco, FCA1-FCA20.
Irvine, H. M. (1981). Cable Structures, MIT Press, Cambridge, Mass.
Knapp, R. H. (1988). “Helical wire stresses in bent cables.” J. Offshore Mech. Arct. Eng., 110, 55–61.
Lanteigne, J. (1985). “Theoretical estimation of the response of helically armored cables to tension, torsion and bending.” J. Appl. Mech., 52, 423–432.
Love, A. E. H. (1944). A treatise on the mathematical theory of elasticity, Dover, New York.
Nutbourne, A. W., and Martin, R. R. (1988). Differential geometry applied to curve and surface design, Halsted, New York.
Out, J. M. M., and von Morgen, B. J. (1997). “Slippage of helical rein-forcing on a bent cable.” Eng. Struct., 19(6), 507–515.
Papailiou, K. O. (1995). “Die seilbiegung mit einer durch die innere seibung, dir zugkraft und die seilkrümmung veränderlichen biegesteifigkeit.” PhD thesis No. 11057, Swiss Federal Institute of Technology (ETH), Zürich, Switzerland.
Papailiou, K. O. (1997). “On the bending stiffness of transmission line conductors.” IEEE Trans. Power Deliv., 12(4), 1576–1588.
Raoof, M. (1989). “Free bending tests on large spiral stands.” Proc., Inst. Civ. Eng., Part 2: Research and Theory87, 605–626.
Raoof, M., and Hobbs, R. E. (1984). “The bending of spiral strand and armoured cables close to terminations.” J. Energy Resour. Technol., 106(3), 349–355.
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© 2005 ASCE.
History
Received: May 28, 2004
Accepted: Oct 29, 2004
Published online: May 1, 2005
Published in print: May 2005
Notes
Note. Associate Editor: Majid T. Manzari
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