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Three-dimensional modeling of curved structures partially or completely containing and/or submerged in fluid

Mitra Esmailzadeh, Aouni Lakis, Marc Thomas and Luc Marcouiller

Technical Report (2006)

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Cite this document: Esmailzadeh, M., Lakis, A., Thomas, M. & Marcouiller, L. (2006). Three-dimensional modeling of curved structures partially or completely containing and/or submerged in fluid (Technical Report n° EPM-RT-2006-06).
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Abstract

The dynamic behavior of a three-dimensional flexible structure in inviscid incompressible stationary fluid is studied numerically. A hybrid finite element is developed by using classical thin plate theory and finite element analysis, in which the finite elements are rectangular four-noded flat shell, having 5 degrees of freedom per node. The displacement functions are derived from Sanders’ thin shell equations. The velocity potential function and Bernoulli’s equation for liquid yield an expression for fluid pressure as a function of nodal displacement of the element and inertial force of the quiescent fluid. An analytical integration of the fluid pressure over the element leads to mass matrix of fluid. Calculations are given to illustrate the dynamic behavior of rectangular reservoir containing fluid, as well as a totally submerged blade.

Open Access document in PolyPublie
Subjects: 2100 Génie mécanique > 2100 Génie mécanique
2200 Mécanique des fluides > 2200 Mécanique des fluides
Department: Département de génie mécanique
Research Center: Non applicable
Date Deposited: 19 Jun 2018 14:13
Last Modified: 24 Oct 2018 16:13
PolyPublie URL: https://publications.polymtl.ca/3153/

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