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## Dynamics of fluid-conveying Timoshenko pipes

Structures conveying mass lose stability once the mass exceeds a certain critical

velocity. The type of instability observed depends on the nature of the supports that the

structure has. If the structure (beam or pipe) is cantilevered (thereby deeming it a nonconservative

system), Âgarden-hose-likeÂ flutter instability is observed once a critical

velocity is exceeded. When studying the flutter instability of a cantilevered pipe

(including shear deformation) by strictly a linear theory, it has been demonstrated

through numerical integration that the values of the critical velocity are only valid for

small values of the mass ratio (mass of the fluid divided by the total mass)

(approximately 0.1 β< ). This fact is also true if shear deformation is neglected. Also,

linear theory predicts the pipe to oscillate unboundedly as time progresses, which is

physically impossible. Therefore, shortly after the pipe goes unstable, the linear theory

is no longer applicable. If non-linear terms are taken into account from the beginning, it

can be shown that the pipe oscillates into a limit cycle.

Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/3822 |

Date | 16 August 2006 |

Creators | Petrus, Ryan Curtis |

Contributors | Reddy, J.N. |

Publisher | Texas A&M University |

Source Sets | Texas A and M University |

Language | en_US |

Detected Language | English |

Type | Book, Thesis, Electronic Thesis, text |

Format | 3364105 bytes, electronic, application/pdf, born digital |

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