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A numerical and experimental study on dynamics of a towed low tension cable

Authors
Park, H.I.Jung, D.H.Koterayama, W.
Issue Date
2003
Keywords
Cable towing; Drag coefficient; Finite difference method; Low tension; Non-uniform element; Towing experiment; Vortex shedding
Citation
Applied Ocean Research, v.25, no.5, pp 289 - 299
Pages
11
Journal Title
Applied Ocean Research
Volume
25
Number
5
Start Page
289
End Page
299
URI
https://www.kriso.re.kr/sciwatch/handle/2021.sw.kriso/1840
DOI
10.1016/j.apor.2004.02.003
ISSN
0141-1187
1879-1549
Abstract
This paper presents a numerical and experimental investigation into the dynamic behaviour of a towed low tension cable applicable to a towed array sonar system for detecting submarines. In the numerical study, an implicit finite difference algorithm is employed for solving the three-dimensional cable equations. Bending stiffness is considered in order to cope with the low tension problem. Fluid and geometric non-linearities are solved by Newton-Raphson iteration. Block tri-diagonal matrix method is applied for the fast calculation of very large matrices. In order to verify the numerical results and to observe real physical phenomena, an experiment was carried out for a 6 m cable in a deep towing tank. In the experiment, the cable was towed in two different ways; one was towed at a constant speed and the other was towed at a constant speed with top end horizontal oscillations. Cable tension and shear forces were measured at the top end. Numerical results are compared with experimental data. Good agreements are only achieved by employing enhanced drag coefficients due to vortex induced vibrations. It is also found that in the numerical modelling, non-uniform element lengths are necessary to cope with the sharp variation of tension and shear forces near the top fixed end. ? 2004 Elsevier Ltd. All rights reserved.
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