Approximation of the Vibration Modes of a Plate and Shells Coupled With a Fluid

[+] Author and Article Information
E. Hernández

Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaiso, ChileErwin.Hernandez@usm.cl

J. Appl. Mech 73(6), 1005-1010 (Jan 05, 2006) (6 pages) doi:10.1115/1.2173675 History: Received July 07, 2005; Revised January 05, 2006

We consider a method to compute the vibration modes of an elastic thin structure (shell or plate) in contact with a compressible fluid. For the structure, the classical Naghdi equations, based on the Reissner–Mindlin hypothesis, are considered and its approximation using the mixed interpolation of tensorial component 4 finite element method. The fluid equations are discretized by using Raviart–Thomas elements, and a non-conforming coupling is used on the fluid-solid interface. Numerical experiments are reported, assessing the efficiency of this coupled scheme.

Copyright © 2006 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

A 3D cavity filled with fluid

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Figure 2

Vibration mode of frequency ω1. Deformed plate and fluid pressure.

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Figure 3

Vibration mode of frequency ω2. Deformed plate and fluid pressure.

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Figure 4

Cylinder filled with fluid

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Figure 5

Used meshes for N=3

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Figure 6

Vibration mode of frequency ωs1. Deformed shell and fluid pressure.

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Figure 7

Vibration mode of frequency ωf1. Deformed shell and fluid pressure.



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