TECHNICAL PAPERS
Mar 1, 1999

Low-Tension Cable Dynamics: Numerical and Experimental Studies

Publication: Journal of Engineering Mechanics
Volume 125, Issue 3

Abstract

An efficient and robust numerical method is presented for the dynamic analysis of low-tension cables. The numerical solution strategy is based on finite-difference approximations of differential equations. In a scheme used by other researchers, known as the box scheme, the trapezoidal method is employed in both space and time domains. This scheme, however, gives rise to spurious high-frequency oscillations in cable tension response, as discovered in the research work reported herein. A modified box scheme is proposed to eliminate the problem. To improve computational efficiency, an iterative procedure is used to solve the resulting nonlinear simultaneous equations. A “free-fall” problem of cable dynamics involving low tension and large displacement motion is studied numerically. An experimental program is carried out to verify the accuracy of the numerical solution with regards to cable tension response.

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References

1.
Ablow, C. M., and Schechter, S. ( 1983). “Numerical simulation of undersea cable dynamics.” Oc. Engrg., 10, 443–457.
2.
Atkinson, K. E. ( 1978). An introduction to numerical analysis. Wiley, New York.
3.
Blick, A., and Triantafyllou, M. S. ( 1985). “Nonlinear cable dynamics.” Behaviour of offshore structures, Elsevier Science, Amsterdam, 963–973.
4.
Burgess, J. J. ( 1991). “Modeling of undersea cable installation with a finite difference method.” Proc., 1st Int. Offshore and Polar Engrg. Conf., Vol. II, 222–227.
5.
Burgess, J. J. ( 1992). “Equations of motion of a submerged cable with bending stiffness.” Proc., 11th Int. Conf. on Offshore Mech. and Arctic Engrg., Vol. I, Part A, Offshore Technology, 283–289.
6.
Fried, I. ( 1982). “Large deformation static and dynamic finite element analysis of extensible cables.” Comp. and Struct., 15, 315–319.
7.
Gear, C. W. ( 1971). Numerical initial value problems in ordinary differential equations. Prentice-Hall, Englewood Cliffs, N.J.
8.
Grosenbaugh, M. A., Howell, C. T., and Moxnes, S. ( 1993). “Simulating the dynamics of underwater vehicles with low-tension tethers.” Int. J. Offshore and Polar Engrg., 3, 213–218.
9.
Howell, C. T. ( 1991). “Numerical analysis of 2-D nonlinear cable equations with applications to low-tension problems.” Proc., 1st Int. Offshore and Polar Engrg. Conf., Vol. II, 203–209.
10.
IMSL. ( 1989). Fortran subroutines for mathematical applications. Visual Numerics, Inc., Houston, Tex.
11.
Kahla, N. B. ( 1995). “Dynamics of a single guy cable.” Comp. and Struct., 54(6), 1197–1211.
12.
Keller, H. B. ( 1970). “A new difference scheme for parabolic problems.” Numerical solution of partial differential equation—II, Synspade 1970, University of Maryland, Md., 327–350.
13.
Leonard, J. W., and Recker, W. W. (1972). “Nonlinear dynamics of cables with low initial tension.”J. Engrg. Mech., ASCE, 98, 293–309.
14.
Milinazzo, F., Wilinazzo, M., and Latchman, S. A. ( 1987). “An efficient algorithm for simulating the dynamics of towed cable systems.” Oc. Engrg., 14(6), 513–526.
15.
Perkins, N. C., and Mote, C. D., Jr. ( 1987). “Three-dimensional vibration of travelling elastic cables.” J. Sound and Vibration, 114, 325–340.
16.
Rao, G. V., and Iyengar, R. N. ( 1991). “Seismic response of a long span cable.” Earthquake Engrg. and Struct. Dyn., 20, 243–258.
17.
Simpson, A. ( 1972). “On the oscillatory motions of translating elastic cables.” J. Sound and Vibration, 20, 177–189.
18.
Smith, G. D. ( 1985). Numerical solution of partial differential equations. Clarendon, Oxford, England and New York.
19.
Triantafyllou, M. S., and Howell, C. T. (1992). “Nonlinear impulsive motions of low-tension cables.”J. Engrg. Mech., ASCE, 118, 807–830.
20.
Triantafyllou, M. S., and Howell, C. T. ( 1993a). “Non-linear unstable response of hanging chains.” J. Sound and Vibration, 162, 263–280.
21.
Triantafyllou, M. S., and Howell, C. T. ( 1993b). “The ill-posed problem of a cable in compression.” Int. J. Offshore and Polar Engrg., 3, 168–171.
22.
Triantafyllou, M. S., and Triantafyllou, G. S. ( 1991). “The paradox of the hanging string: An explanation using singular perturbations.” J. Sound and Vibration, 148, 343–351.
23.
Welch, S. M., and Tulin, M. P. ( 1993). “An experimental investigation of the mean and dynamic tensions in towed strumming cables.” Int. J. Offshore and Polar Engrg., 3, 205–212.
24.
Zhang, Y. ( 1998). “Modelling of large displacement motion of elastic cables,” M.Eng. dissertation, National University of Singapore, Singapore.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 3March 1999
Pages: 347 - 354

History

Received: Apr 6, 1998
Published online: Mar 1, 1999
Published in print: Mar 1999

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Authors

Affiliations

Assoc. Prof., Dept. of Civ. Engrg., Nat. Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 119260.
Engr., WY Steel Construction Pte. Ltd., 9A Sungei Kadut Way, Singapore 728779; formerly, Grad. Student, Dept. of Civ. Engrg., Nat. Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 119260.
Assoc. Prof., Dept. of Civ. Engrg., Nat. Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 119260.

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