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

Mitra Esmailzadeh, Aouni A. Lakis, Marc Thomas and Luc Marcouiller

Technical Report (2006)

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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.

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
2200 Fluid mechanics > 2200 Fluid mechanics
Department: Department of Mechanical Engineering
PolyPublie URL: https://publications.polymtl.ca/3153/
Report number: EPM-RT-2006-06
Date Deposited: 19 Jun 2018 14:13
Last Modified: 08 Apr 2024 15:26
Cite in APA 7: Esmailzadeh, M., Lakis, A. 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). https://publications.polymtl.ca/3153/

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