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The Dynamical Behaviour of a Flexible Cable in a Uniform Flow Field

Published online by Cambridge University Press:  07 June 2016

R. R. Huffman  and
Joseph Genin
R. R. Huffman
Affiliation:
Whirlpool Corporation, Benton Harbor, Michigan
Joseph Genin
Affiliation:
Purdue University, Lafayette, Indiana
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Summary

A non-linear mathematical model for the study of the dynamics of an extensible cable subjected to aerodynamic forces generated by a uniform flow field is formulated. Solutions are found considering large displacement caused by suddenly applied loads (i.e., gusts, shock waves, turbulence) for a range of flow speeds and cable lengths. Transition from overdamped to oscillatory motion is observed when flow speed and cable length are increased and decreased respectively. The stability of the system is discussed.

Type
Research Article
Information
Aeronautical Quarterly , Volume 22 , Issue 2 , May 1971 , pp. 183 - 195
Copyright
Copyright © Royal Aeronautical Society. 1971

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References

1. Glauert, H. The stability of a body towed by a light wire. ARC R & M 1312, 1930.Google Scholar
2. Phillips, W. H. Theoretical analysis of oscillations of a towed cable. NACA TN 1796, 1949.Google Scholar
3. Etkin, B. and Mackworth, J. C. Aerodynamic instability of non-lifting bodies towed beneath an aircraft. Institute of Aerophysics, University of Toronto, UTIA TN 65, 1963.Google Scholar
4. Genin, J. Towed vehicle systems. School of Aeronautics, Astronautics, and Engineering Sciences, Purdue University, Report 66-7, 1966.Google Scholar
5. Genin, J. and Cannon, T. C. Equilibrium configuration and tensions of a flexible cable in a uniform flow field. AIAA Journal of Aircraft, Vol. 4, p. 200, May-June 1967.Google Scholar
6. Relf, E. F. and Powell, C. H. Tests on smooth and stranded wires inclined to the wind direction and a comparison of results on stranded wires in air and water. ARC R & M 307, 1917.Google Scholar
7. Surry, J. Experimental investigation of the characteristics of flow about curved circular cylinders. Institute for Aerospace Studies, University of Toronto, UTIAS TN 89, April 1965.Google Scholar
8. Payne, P. R. On the steady state forces acting upon an inclined cylinder or cable at subcritical Reynolds numbers. Working Paper No. 16903, Wyle Laboratories, Rockville, Maryland, May 1968.Google Scholar
9. Courant, R and Hilbert, D. Methods of Mathematical Physics, Vol. II, Interscience Publishers, New York, 1962.Google Scholar
10. Ralston, A. and Wilf, H. S. Mathematical Methods for Digital Computers, Wiley, New York, 1960.Google Scholar
11. Huffman, R. The dynamical behaviour of an extensible cable in a uniform flow field (An investigation of the towed vehicle problem). PhD Thesis, Purdue University, January 1969.Google Scholar
12. Paidoussis, M. P. Stability of towed totally submerged flexible cylinders. Journal of Fluid Mechanics, Vol. 34, Part 2, pp. 273-297, 1968.Google Scholar