Bending Energy Dissipation of Simplified Single-Layer Stranded Cable
Publication: Journal of Engineering Mechanics
Volume 124, Issue 8
Abstract
A model of a simplified single-layer stranded cable is developed to compute the bending energy dissipated by friction between strand components and to compare it to the experimental values derived from tests on overhead transmission line conductors in free-field condition. It is assumed that wire-core contact exists and that wire-wire contact in the layer, if ever present, is frictionless. Wire diameter is small compared to core diameter, and an uniform axial stress state is assumed. The relative displacement between wire and core is determined according to the theory of contact mechanics. Two types of strand deflections are examined: (1) Uniform curvature; or (2) sinusoidal deflections. The energy dissipated by friction is computed on the basis of two regimes: (1) Partial slip; and (2) gross sliding regimes. The theoretical dissipated energy results are provided on a parametric basis and are compared to the results of two models using “rigid-plastic” Coulomb friction law.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Claren, R., and Diana, G. (1969). “Mathematical analysis of transmission line vibration.”Trans. IEEE, Power Apparatus and Systems, Inst. of Electrical and Electronics Engrs., New York, Pas-88(12), 1747–1771.
2.
Deresiewicz, H.(1957). “Oblique contact of nonspherical elastic bodies.”J. Appl. Mech., 24, 623–624.
3.
Hardy, C. (1990). “Analysis of self-damping characteristics of stranded cables in transverse vibrations.”Proc. of CSME Mech. Engrg., Forum, Canadian Soc. for Mech. Engrg., Ottawa, Canada, Vol. 1, 117–122.
4.
Hardy, C., and Leblond, A. (1992). “Comparison of conductor self-damping measurements.” CIGRE 1992 General Session, Study Committee 22 Overhead Lines, Conférence Internationale Des Grands Réseaux Electriques, Paris, France.
5.
Hobbs, R. E., and Raoof, M. (1982). “Interwire slippage and fatigue prediction in stranded cables for TLP tethers.”Proc., 3rd Int. Conf. on Behaviour of offshore structures, C. Chryssostomiolis and J. J. Connor, eds., Vol. 2, Hemisphere Publishing/McGraw-Hill, New York, N.Y., 77–99.
6.
Hruska, F. H. (1952a). “Radial forces in wire ropes.”Wire and Wire Products, 27(May), 459–463.
7.
Hruska, F. H. (1952b). “Calculation of stresses in wire ropes.”Wire and Wire Products, 26(Sept.), 766–767, 799–801.
8.
Kraus, M., and Hagedorn, P.(1991). “Aeolian vibrations: Wind energy input evaluated from measurements on air energized transmission line.”IEEE Transactions on Power Delivery, 6(3), 1264–1270.
9.
Lutchansky, M.(1969). “Axial stresses in armored wires of bent submarine cables.”J. of Engrg. for Industry, ASME, 91, 687–693.
10.
Mindlin, R. D.(1949). “Compliance of elastic bodies in contact.”J. of Appl. Mech., 16, 259–268.
11.
Mindlin, R. D., Mason, W. P., Osmer, T. F., Deresiewicz, H. (1952). “Effects of an oscillating tangential force on the contact surfaces of elastic spheres.”Proc., 1st U.S. Nat. Congr. on Appl. Mech., ASME, New York, 203–208.
12.
Noiseux, D. U. (1991). “Similarity laws of the internal damping of stranded cables in transverse vibration.”Proc., IEEE Power Engrg. Soc., Transport and Distribution Conf., Inst. of Electrical and Electronics, New York, 817–823.
13.
Roark, R. J., and Young, W. C. (1975). Formulas for stresses and strains, 5th Ed., McGraw-Hill Inc., New York, N.Y., 516–517.
14.
Seppa, T. (1971). “Self-damping measurements and energy balance of ASCR Drake.”IEEE Winter Power Meeting, Paper No. 71 CP 161 PWR, Inst. of Electrical and Electronics Engrs., New York, 1–8.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Aug 1, 1998
Published in print: Aug 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.