Frictional Dissipation in Axially Loaded Simple Straight Strands
Publication: Journal of Engineering Mechanics
Volume 126, Issue 6
Abstract
In this paper, an analytical investigation is made of the frictional damping properties of axially loaded metallic cables made from one layer of wires helically wrapped around a central wire. Our efforts are focused on the quantity of energy dissipated through friction due to the motions between wires when a cable is loaded. Although the local interwire pivoting drives the response of the cables studied, a first linear model is built where pivoting is allowed, but friction is not taken into account. Then, a law of friction is established and linearized to extend the linear model into a tractable piecewise linear hysteretic one. Through a variety of examples, it appears that the energy dissipated in friction over a load cycle is very small compared to other sources of dissipation, because axially loaded simple straight strands do not experience fretting-induced failures, except close to terminations. It is also shown that modifying the design of such cables is not expected to significantly improve their damping properties.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Blakeborough, A., and Cullimore, M. S. G. (1984). “An analysis of fretting and friction in a wire strand.” Proc., 3rd Industry of Offshore Mech. and Arctic Engrg. Symp., Part 2, 206–210.
2.
Costello, G. (1990). Theory of wire rope. Springer.
3.
Fang, J., and Lyons, G. J. (1996). “Structural damping of tensioned pipes with reference to cables.” J. Sound and Vibration, 193(4), 891–907.
4.
Hobbs, M., and Raoof, R. E. (1984). “Hysteresis in bridge strand.” Proc., Instn. Civ. Engrs., Part 2, Vol. 77, 445–464.
5.
Huang, N. C. (1978). “Finite tension of an elastic strand with a central core.” J. Appl. Mech., 45(December), 852–858.
6.
Huang, X., and Vinogradov, O. G. (1996a). “Extension of a cable in the presence of dry friction.” Struct. Engrg. and Mech., 4(3), 313–329.
7.
Huang, X., and Vinogradov, O. G. (1996b). “Dry friction losses in axially loaded cables.” Struct. Engrg. and Mech., 4(3), 330–344.
8.
Johnson, K. L. (1985). Contact mechanics. Cambridge University Press.
9.
Kawashima, S., and Kimura, H. ( 1952). “Measurement of the internal friction of metal wires and metal wire ropes through the longitudinal vibrations.” Memoirs of the Facu. of Engrg., Kyushu University, Vol. 27, 119–130.
10.
Labrosse, M. ( 1998). “Contribution à l'étude du rôle du frottement sur le comportement et la durée de vie des câbles.” PhD dissertation, École Central de Nantes–Université de Nantes, Nantes, France.
11.
Love, A. E. H. (1952). A treatise on the mathematical theory of elasticity. Dover, New York.
12.
Nawrocki, A. ( 1997). “Contribution à la modélisation des câbles par éléments finis.” PhD dissertation, École Centrale de Nantes–Université de Nantes, Nantes, France.
13.
Nawrocki, A., and Labrosse, M. ( 1997). “A finite element model for strand cables.” Innovation in computer methods for civil and structural engineering, Civil-Comp Press, 1–11.
14.
Pipes, L. A. (1936). “Cable and damper vibration studies.” AIEE Trans., 55, 600–614.
15.
Ramsey, H. (1990). “Analysis of interwire friction in multilayered cables under uniform extension and twisting.” Int. J. Mech. Sci., 32(8), 709–716.
16.
Raoof, M. (1991). “Axial fatigue life prediction of structural cables from first principles.” Proc., Instn. Civ. Engrs., Part 2, Vol. 91, 19–38.
17.
Utting, W. S., and Jones, N. (1987). “The response of wire rope strands to axial tensile loads.” Int. J. Mech. Sci., 29(9), Part I, 605–619; Part II, 621–636.
18.
Velinsky, S. A. (1985). “General non linear theory for complex wire rope.” Int. J. Mech. Sci., 27, 497–507.
Information & Authors
Information
Published In
History
Received: Feb 17, 1999
Published online: Jun 1, 2000
Published in print: Jun 2000
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.