### Abstract

A long, thin, horizontal elastic cylindrical tube either fully or partially submerged in a liquid is considered. The tube supports a centered line load along its bottom and the load-carrying capacity of the tube is analysed. A nonlinear boundary value problem that takes into account the variable hydrostatic pressure is formulated. Perturbation solutions are obtained for the cases of small pressure gradients, especially in the neighborhood of the critical buckling pressure. Numerical solutions based on Newton's iteration and shooting methods are also obtained for general pressure gradients and for both the fully and partially submerged cases. The results show that, given a pressure gradient, there is an upper limit for the maximum load of the partially submerged tube. This maximum load decreases with depth when the shell is fully submerged and thus the corresponding equilibrium solution is unstable.

Original language | English |
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Pages (from-to) | 353-370 |

Number of pages | 18 |

Journal | Journal of Fluids and Structures |

Volume | 6 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1992 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering
- Engineering(all)

### Cite this

*Journal of Fluids and Structures*,

*6*(3), 353-370. https://doi.org/10.1016/0889-9746(92)90014-T

**Deformation of a thin-walled cylindrical tube submerged in a liquid.** / Elgindi, Mohamed; Yen, D. H Y; Wang, C. Y.

Research output: Contribution to journal › Article

*Journal of Fluids and Structures*, vol. 6, no. 3, pp. 353-370. https://doi.org/10.1016/0889-9746(92)90014-T

}

TY - JOUR

T1 - Deformation of a thin-walled cylindrical tube submerged in a liquid

AU - Elgindi, Mohamed

AU - Yen, D. H Y

AU - Wang, C. Y.

PY - 1992

Y1 - 1992

N2 - A long, thin, horizontal elastic cylindrical tube either fully or partially submerged in a liquid is considered. The tube supports a centered line load along its bottom and the load-carrying capacity of the tube is analysed. A nonlinear boundary value problem that takes into account the variable hydrostatic pressure is formulated. Perturbation solutions are obtained for the cases of small pressure gradients, especially in the neighborhood of the critical buckling pressure. Numerical solutions based on Newton's iteration and shooting methods are also obtained for general pressure gradients and for both the fully and partially submerged cases. The results show that, given a pressure gradient, there is an upper limit for the maximum load of the partially submerged tube. This maximum load decreases with depth when the shell is fully submerged and thus the corresponding equilibrium solution is unstable.

AB - A long, thin, horizontal elastic cylindrical tube either fully or partially submerged in a liquid is considered. The tube supports a centered line load along its bottom and the load-carrying capacity of the tube is analysed. A nonlinear boundary value problem that takes into account the variable hydrostatic pressure is formulated. Perturbation solutions are obtained for the cases of small pressure gradients, especially in the neighborhood of the critical buckling pressure. Numerical solutions based on Newton's iteration and shooting methods are also obtained for general pressure gradients and for both the fully and partially submerged cases. The results show that, given a pressure gradient, there is an upper limit for the maximum load of the partially submerged tube. This maximum load decreases with depth when the shell is fully submerged and thus the corresponding equilibrium solution is unstable.

UR - http://www.scopus.com/inward/record.url?scp=0026798876&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026798876&partnerID=8YFLogxK

U2 - 10.1016/0889-9746(92)90014-T

DO - 10.1016/0889-9746(92)90014-T

M3 - Article

AN - SCOPUS:0026798876

VL - 6

SP - 353

EP - 370

JO - Journal of Fluids and Structures

JF - Journal of Fluids and Structures

SN - 0889-9746

IS - 3

ER -