A mathematical model for the motion of a towed pipeline bundle

Manson, N.M. and Wilson, S.K. and Duffy, B.R.; Di Bucchianico, A. and Mattheij, R.M.M. and Peletier, M.A. and Di Bucchianico, A. and Mattheij, R.M.M. and Peletier, M.A., eds. (2006) A mathematical model for the motion of a towed pipeline bundle. In: Mathematics in Industry. Mathematics in Industry, 8 . Springer, pp. 610-615. ISBN 978-3-540-28072-9 (https://doi.org/10.1007/3-540-28073-1)

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Abstract

A simple mathematical model for the motion of a pipeline bundle being towed using the Controlled Depth Tow Method (CDTM) is constructed and analysed. When the forces exerted by the sea on the bundle are neglected the model predicts that the bundle is neutrally stable and that its motion involves two different timescales. When these forces are not neglected the model predicts that the bundle will always be stable if the tension in the bundle at its downstream end is sufficiently large.

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