On the use of a variational technique based on integral equations for plane acoustic and vibro-acoustic problems

Jonas Brunskog; Antoine Philippe André Richard

On the use of a variational technique based on integral equations for plane acoustic and vibro-acoustic problems

Jonas Brunskog, Antoine Philippe André Richard

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

Problems such as sound insulation and absorption of plane structures in laboratory conditions can
theoretically be described as an integral or integral-differential equation. This equation contains the Green’s
function integrated over the surface, which describes the radiation from the surface. A variational technique,
well described by Morse and Ingard, has successfully been used for both absorption and sound insulation for
a plane incident wave. The resulting formulas are surprisingly simple, accurate and robust. Moreover, they
capture the physics of sound radiation of a finite surface well. However, the approach has turned out
problematic in more complicated cases, including spatial periodicity. The paper discusses these issues, and
suggests modifications to overcome the problems.

Original language	English
Title of host publication	Proceedings of Inter-noise
Editors	Wolfgang Kropp
Number of pages	8
Publication date	2016
ISBN (Electronic)	978-3-939296-11-9
Publication status	Published - 2016
Event	45th International Congress and Exposition on Noise Control Engineering, INTER-NOISE 2016 - Hamburg, Germany Duration: 21 Aug 2016 → 24 Aug 2016 Conference number: 45 http://www.internoise2016.org/

Conference

Conference	45th International Congress and Exposition on Noise Control Engineering, INTER-NOISE 2016
Number	45
Country	Germany
City	Hamburg
Period	21/08/2016 → 24/08/2016
Internet address	http://www.internoise2016.org/

Keywords

Vibro-Acoustics
Transmission, Absorption

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Cite this

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title = "On the use of a variational technique based on integral equations for plane acoustic and vibro-acoustic problems",

abstract = "Problems such as sound insulation and absorption of plane structures in laboratory conditions cantheoretically be described as an integral or integral-differential equation. This equation contains the Green{\textquoteright}sfunction integrated over the surface, which describes the radiation from the surface. A variational technique,well described by Morse and Ingard, has successfully been used for both absorption and sound insulation fora plane incident wave. The resulting formulas are surprisingly simple, accurate and robust. Moreover, theycapture the physics of sound radiation of a finite surface well. However, the approach has turned outproblematic in more complicated cases, including spatial periodicity. The paper discusses these issues, andsuggests modifications to overcome the problems. ",

keywords = "Vibro-Acoustics, Transmission, Absorption",

author = "Jonas Brunskog and Richard, {Antoine Philippe Andr{\'e}}",

year = "2016",

language = "English",

editor = "{ Kropp}, Wolfgang",

booktitle = "Proceedings of Inter-noise",

note = "45th International Congress and Exposition on Noise Control Engineering, INTER-NOISE 2016 ; Conference date: 21-08-2016 Through 24-08-2016",

url = "http://www.internoise2016.org/",

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T1 - On the use of a variational technique based on integral equations for plane acoustic and vibro-acoustic problems

AU - Brunskog, Jonas

AU - Richard, Antoine Philippe André

N1 - Conference code: 45

PY - 2016

Y1 - 2016

N2 - Problems such as sound insulation and absorption of plane structures in laboratory conditions cantheoretically be described as an integral or integral-differential equation. This equation contains the Green’sfunction integrated over the surface, which describes the radiation from the surface. A variational technique,well described by Morse and Ingard, has successfully been used for both absorption and sound insulation fora plane incident wave. The resulting formulas are surprisingly simple, accurate and robust. Moreover, theycapture the physics of sound radiation of a finite surface well. However, the approach has turned outproblematic in more complicated cases, including spatial periodicity. The paper discusses these issues, andsuggests modifications to overcome the problems.

AB - Problems such as sound insulation and absorption of plane structures in laboratory conditions cantheoretically be described as an integral or integral-differential equation. This equation contains the Green’sfunction integrated over the surface, which describes the radiation from the surface. A variational technique,well described by Morse and Ingard, has successfully been used for both absorption and sound insulation fora plane incident wave. The resulting formulas are surprisingly simple, accurate and robust. Moreover, theycapture the physics of sound radiation of a finite surface well. However, the approach has turned outproblematic in more complicated cases, including spatial periodicity. The paper discusses these issues, andsuggests modifications to overcome the problems.

KW - Vibro-Acoustics

KW - Transmission, Absorption

M3 - Article in proceedings

BT - Proceedings of Inter-noise

A2 - Kropp, Wolfgang

T2 - 45th International Congress and Exposition on Noise Control Engineering, INTER-NOISE 2016

Y2 - 21 August 2016 through 24 August 2016

ER -