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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), “garden-hose-like” 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 &#946;< ). 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is no longer applicable.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.

Identiferoai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/3822
Date16 August 2006
CreatorsPetrus, Ryan Curtis
ContributorsReddy, J.N.
PublisherTexas A&M University
Source SetsTexas A and M University
Languageen_US
Detected LanguageEnglish
TypeBook, Thesis, Electronic Thesis, text
Format3364105 bytes, electronic, application/pdf, born digital

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