Internal Friction due to Wire Twist in Bent Cable
Publication: Journal of Engineering Mechanics
Volume 112, Issue 9
Abstract
A static and a quasi‐static cyclic bending of a cantilever cable is considered in order to investigate the friction losses in cables. It is assumed that slippage due to twisting of wires is a source of internal friction. Slippage takes place within finite segments along the wire. It starts near the clamp and then propagates along the cable with the increase in load. The load‐deflection characteristic becomes essentially nonlinear after the load exceeds some critical magnitude below which there is no slippage. Two types of hysteretic loops are investigated: (1) Local, characterizing losses in a wire cross section; and (2) global, associated with the point of load application. It is shown that the local loop is symmetrical and closed and that a unique correspondence exists between a load versus twisting characteristic of a wire in a simple bending and friction losses in this cross section in a cyclic bending. Similar correspondence between global characteristics of a cable is introduced. Numerical results for a one lay cable are given.
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References
1.
Claren, R., and Diana, G., “Dynamic Strain Distribution on Loaded Stranded Cables,” IEEE Transactions on Power Apparatus and Systems, Pas—88, Vol. 11, 1969, pp. 1678–1686.
2.
Claren, R., and Diana, G., “Mathematical Analysis of Transmission Line Vibration,” IEEE Transactions on Power Apparatus and Systems, Pas—88, Vol. 12, 1969, pp. 1741–1767.
3.
Costello, G. A., and Phillips, J. W., “A More Exact Theory for Twisted Wire Cables,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. 10, Oct., 1974, pp. 1056–1059.
4.
Costello, G. A., and Phillips, W., “Effective Modulus of Twisted Wire Cables,” Journal of the Engineering Mechanics Division, ASCE, Vol. 102, No. 2, Feb., 1976, pp. 171–181.
5.
Costello, G. A., and Butson, G. J., “Simplified Bending Theory for Wire Rope,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, No. 4, Apr., 1982, pp. 219–227.
6.
Huang, N. C., “Finite Extension of an Elastic Strand with a Central Core,” Journal of Applied Mechanics, Transactions ASME, Vol. 45, Dec., 1978, pp. 852–858.
7.
Machida, S., and Durelli, A. J., “Response of a Strand to Axial and Torsional Displacements,” International Journal of Mechanical Engineering Science, Vol. 15, No. 4, 1973, pp. 241–251.
8.
Phillips, J. W., and Costello, G. A., “Contact Stresses in Twisted Wire Cables,” Journal of the Engineering Mechanics Division, ASCE, Vol. 99, No. 2, Feb., 1973, pp. 331–341.
9.
Pivovarov, I., and Vinogradov, O. G., “The Phenomenon of Damping in Stranded Cables,” Proceedings, 26th SDM Conference, Part 2, Orlando, Fla., Apr. 15‐17, 1985, pp. 232–237.
10.
Sturm, R. G., “Vibration of Cables and Dampers—I,” AIEE Transactions, Vol. 55, May, 1936, pp. 455–465.
11.
Sturm, R. G., “Vibration of Cables and Dampers—‐2,” AIEE Transactions, Vol. 55, June, 1936, pp. 673–688.
12.
Vinogradov, O. G., and Atatekin, I. S., “Structural Damping in Vibrating Cable,” Proceedings, CANCAM 83, May 30–June 3, 1983, Saskatoon, Canada, pp. 107–108.
13.
Vinogradov, O. G., and Atatekin, I. S., “Structural Damping of Stranded Cable,” Mathematical Modelling in Science and Technology, Proceedings, 4th International Conference on Mathematical Modelling, Zurich, Switzerland, Aug. 15–17, 1983, pp. 537–541.
14.
Wagner, H., Ramamurti, B., Sastry, R. V. R., and Hartmann, K., “Dynamics of Stockbridge Dampers,” Journal of Sound and Vibration, Vol. 30, No. 2, 1973, pp. 207–220.
15.
Yu, A., “Vibration Damping of Stranded Cable,” Proceedings, Society of Experimental Stress Analysis, Vol. 9, No. 2, 1952, pp. 141–158.
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Copyright © 1986 ASCE.
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Published online: Sep 1, 1986
Published in print: Sep 1986
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