Coupling Behavior of Wire Ropes Subjected to Tensile Impulses
Publication: Journal of Engineering Mechanics
Volume 135, Issue 8
Abstract
To determine the stress state of a wire rope is tedious although analytical solution of a simple rope subjected to static load is available. While facing the problems involving complex ropes, it is usual practice to take approximations based upon the concepts of an average stress state for the constitutive ropes or for every wire. For a statically loaded cable superimposed with a tensile impulse, practically in sudden lifting of a heavy weight, the coupled axial-shearing strain waves in the cable has rarely been studied and explored through analytical approaches. Based on Costello’s force-deformation relationship and elastic wave propagation theory, analysis procedures and results are presented in this paper. Time-dependent coupled axial-torsional displacements and axial-shearing strain waves in a simple straight wire rope, due to a longitudinal impact at one end, are obtained. At the instance of the strike, a pair of coupled primary axial-torsional waves is created and begins to travel in the cable independently with different speed. Meanwhile, a coupling induced secondary torsional wave and an axial wave were observed to travel with the primary axial wave and the primary torsional wave, respectively. Phenomenon such as the traveling, reflections from ends, and intersections of the primary waves as well as the secondary wave are presented. Information provided in this paper would be useful in the study of unexpected overstress and/or fatigue problems.
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Acknowledgments
The writers would like to thank National Science Council of Taiwan for the financial support to the search of this paper under Grant No. NSCTNSC 93-2211-E-005-030.
References
Costello, G. A. (1975). “Radial expansion of impacted helical springs.” J. Appl. Mech., 42, 789–792.
Costello, G. A. (1990). Theory of wire rope, Springer, New York.
Graff, K. F. (1975). Wave motion in elastic solids, Clarendon, Oxford.
Jiang, W. G., and Jones, W. K. (1991). “Forced vibration of coupled extensional-torsional systems.” J. Eng. Mech., 117(5), 1171–1190.
Phillips, J. W., and Costello, G. A. (1977). “Axial impact of twisted wire cables.” J. Appl. Mech., 44, 127–131.
Raoof, M., Huang, Y. P., and Pithia, K. D. (1994). “Response of axially preloaded spiral strands to impact loading.” Comput. Struct., 51(2), 125–135.
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© 2009 ASCE.
History
Received: Oct 25, 2006
Accepted: Feb 19, 2009
Published online: Jul 15, 2009
Published in print: Aug 2009
Notes
Note. Associate Editor: Andrew W. Smyth
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