Patch Transfer Functions as a Tool to Couple Linear Acoustic Problems

[+] Author and Article Information
Morvan Ouisse

 LVA-INSA Lyon, 25 bis Avenue Jean Capelle, Villeurbanne, 69100 Francemorvan.ouisse@univ-fcomte.fr

Laurent Maxit, Christian Cacciolati, Jean-Louis Guyader

 LVA-INSA Lyon, 25 bis Avenue Jean Capelle, Villeurbanne, 69100 France

J. Vib. Acoust 127(5), 458-466 (Dec 07, 2004) (9 pages) doi:10.1115/1.2013302 History: Received June 01, 2004; Revised December 07, 2004

A method to couple acoustic linear problems is presented in this paper. It allows one to consider several acoustic subsystems, coupled through surfaces divided in elementary areas called patches. These subsystems have to be studied independently with any available method, in order to build a database of transfer functions called patch transfer functions, which are defined using mean values on patches, and rigid boundary conditions on the coupling area. A final assembly, using continuity relations, leads to a very quick resolution of the problem. The basic equations are developed, and the acoustic behavior of a cavity separated in two parts is presented, in order to show the ability of the method to study a strong-coupling case. Optimal meshing size of the coupling area is then discussed, some comparisons with experiments are shown, and finally a complex automotive industrial case is presented.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Example of basic acoustic problem

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Figure 2

Rigid walled cavity

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Figure 3

Four patches and four modes

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Figure 4

Effects of ill-conditioning due to the number of modes on FRFs

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Figure 5

Convergence of pressure vs number of patches. Dotted line: reference calculation. The vertical line indicates the λ∕2 limit.

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Figure 6

Pressure error at listening point vs number of patches along x and y axes

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Figure 7

Description of the “ground-up box” structure

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Figure 8

Image source theory illustration and Rayleigh simplified approach

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Figure 9

Comparisons between calculation techniques

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Figure 10

Comparisons between meshing methodologies and experiments

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Figure 11

Front part of Alfa 156

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Figure 12

Coupling areas for PTF application

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Figure 13

Patches definition on coupling areas

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Figure 14

Patches definition on absorbing areas

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Figure 15

Comparisons between calculations and experiments, in terms of FRF, inside the cavity and at a pass-by microphone

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Figure 16

Comparison between experiments (dashed line) and simulations (continuous line) of radiated noise at a pass-by microphone location




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