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Research Papers

Vibroacoustical Analysis Based on a Multimodal Strategy: Triple Modal Synthesis

[+] Author and Article Information
Sébastien Besset1

 LTDS, Équipe D2S UMR CNRS 5513, École Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully Cedex, Francesebastien.besset@ec-lyon.fr

Louis Jézéquel

 LTDS, Équipe D2S UMR CNRS 5513, École Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully Cedex, Francelouis.jezequel@ec-lyon.fr

1

Corresponding author.

J. Vib. Acoust 130(3), 031009 (Apr 08, 2008) (6 pages) doi:10.1115/1.2889920 History: Received February 06, 2006; Revised January 11, 2007; Published April 08, 2008

Modal synthesis methods have long been studied because the use of generalized coordinates makes it possible to reduce calculation costs. Our approach uses modes to describe each part of the assembly of several substructures, coupled with a fluid cavity. In a previous paper, we explained that ω2 developments could be used to minimize modal truncation. In the present paper, we consider a fluid-structure coupled system using a method called “triple modal synthesis.” High order developments will be made to describe the fluid part. First, two kinds of formulation will be explained: in displacement and in force. Second, calculation using finite element methods will be processed.

Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 13

Pressure field on plane B(f=200Hz). Comparison between second order and the finite element method (the unit of the color bar is %). x and y are given in m.

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Figure 14

Pressure field on plane B(f=200Hz). Comparison between third order and the finite element method (the unit of the color bar is %). x and y are given in m.

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Figure 15

Modal density of fluid, structural, and branch modes.

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Figure 8

Pressure field on plane B(f=200Hz). Finite element method. x and y are given in m.

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Figure 9

Pressure field on plane B(f=200Hz). First order. x and y are given in m.

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Figure 10

Pressure field on plane B(f=200Hz). Second order. x and y are given in m.

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Figure 11

Pressure field on plane B(f=200Hz). Third order. x and y are given in m.

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Figure 12

Pressure field on plane B(f=200Hz). Comparison between first order and the finite element method (the unit of the color bar is %). x and y are given in m.

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Figure 1

Triple modal synthesis: studied system

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Figure 2

Model used for triple modal synthesis

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Figure 3

Displacement of a point of the fluid: 1–150Hz

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Figure 4

Displacement of a point of the fluid: 1–230Hz

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Figure 5

Displacement of a point of the second plate: 1–150Hz

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Figure 6

Displacement of a point of the second plate: 1–230Hz

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Figure 7

Position of plane B

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