A mathematical model for the motion of a towed pipeline bundle

N.M. Manson, S.K. Wilson, B.R. Duffy, A. Di Bucchianico (Editor), R.M.M. Mattheij (Editor), M.A. Peletier (Editor)

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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.
LanguageEnglish
Title of host publicationMathematics in Industry
Subtitle of host publicationProgress in Industrial Mathematics at ECMI 2004
EditorsA. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier
PublisherSpringer
Pages610-615
Number of pages6
Volume8
ISBN (Print)978-3-540-28072-9
DOIs
Publication statusPublished - 9 Jan 2006

Publication series

NameMathematics in Industry
PublisherSpringer

Fingerprint

Bundle
Mathematical Model
Motion
Predict
Time Scales
Model

Keywords

  • controlled depth tow method
  • pipeline bundle
  • forces
  • force models

Cite this

Manson, N. M., Wilson, S. K., Duffy, B. R., Di Bucchianico, A. (Ed.), Mattheij, R. M. M. (Ed.), & Peletier, M. A. (Ed.) (2006). A mathematical model for the motion of a towed pipeline bundle. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004 (Vol. 8, pp. 610-615). (Mathematics in Industry). Springer. https://doi.org/10.1007/3-540-28073-1
Manson, N.M. ; Wilson, S.K. ; Duffy, B.R. ; Di Bucchianico, A. (Editor) ; Mattheij, R.M.M. (Editor) ; Peletier, M.A. (Editor). / A mathematical model for the motion of a towed pipeline bundle. Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. editor / A. Di Bucchianico ; R.M.M. Mattheij ; M.A. Peletier. Vol. 8 Springer, 2006. pp. 610-615 (Mathematics in Industry).
@inproceedings{237362ae57da498f84071d126e268d57,
title = "A mathematical model for the motion of a towed pipeline bundle",
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.",
keywords = "controlled depth tow method, pipeline bundle, forces, force models",
author = "N.M. Manson and S.K. Wilson and B.R. Duffy and {Di Bucchianico}, A. and R.M.M. Mattheij and M.A. Peletier",
year = "2006",
month = "1",
day = "9",
doi = "10.1007/3-540-28073-1",
language = "English",
isbn = "978-3-540-28072-9",
volume = "8",
series = "Mathematics in Industry",
publisher = "Springer",
pages = "610--615",
editor = "{Di Bucchianico}, A. and R.M.M. Mattheij and M.A. Peletier",
booktitle = "Mathematics in Industry",

}

Manson, NM, Wilson, SK, Duffy, BR, Di Bucchianico, A (ed.), Mattheij, RMM (ed.) & Peletier, MA (ed.) 2006, A mathematical model for the motion of a towed pipeline bundle. in A Di Bucchianico, RMM Mattheij & MA Peletier (eds), Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. vol. 8, Mathematics in Industry, Springer, pp. 610-615. https://doi.org/10.1007/3-540-28073-1

A mathematical model for the motion of a towed pipeline bundle. / Manson, N.M.; Wilson, S.K.; Duffy, B.R.; Di Bucchianico, A. (Editor); Mattheij, R.M.M. (Editor); Peletier, M.A. (Editor).

Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. ed. / A. Di Bucchianico; R.M.M. Mattheij; M.A. Peletier. Vol. 8 Springer, 2006. p. 610-615 (Mathematics in Industry).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

TY - GEN

T1 - A mathematical model for the motion of a towed pipeline bundle

AU - Manson, N.M.

AU - Wilson, S.K.

AU - Duffy, B.R.

A2 - Di Bucchianico, A.

A2 - Mattheij, R.M.M.

A2 - Peletier, M.A.

A2 - Di Bucchianico, A.

A2 - Mattheij, R.M.M.

A2 - Peletier, M.A.

PY - 2006/1/9

Y1 - 2006/1/9

N2 - 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.

AB - 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.

KW - controlled depth tow method

KW - pipeline bundle

KW - forces

KW - force models

U2 - 10.1007/3-540-28073-1

DO - 10.1007/3-540-28073-1

M3 - Conference contribution book

SN - 978-3-540-28072-9

VL - 8

T3 - Mathematics in Industry

SP - 610

EP - 615

BT - Mathematics in Industry

PB - Springer

ER -

Manson NM, Wilson SK, Duffy BR, Di Bucchianico A, (ed.), Mattheij RMM, (ed.), Peletier MA, (ed.). A mathematical model for the motion of a towed pipeline bundle. In Di Bucchianico A, Mattheij RMM, Peletier MA, editors, Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2004. Vol. 8. Springer. 2006. p. 610-615. (Mathematics in Industry). https://doi.org/10.1007/3-540-28073-1