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Determination of the cutoff frequency of an acoustic circumferential wave using a time–frequency analysis

Identifieur interne : 000414 ( Istex/Corpus ); précédent : 000413; suivant : 000415

Determination of the cutoff frequency of an acoustic circumferential wave using a time–frequency analysis

Auteurs : R. Latif ; E. Aassif ; A. Moudden ; D. Decultot ; B. Faiz ; G. Maze

Source :

RBID : ISTEX:F90E212DBB9B458226A80DA087335271F75C40E4

English descriptors

Abstract

In this article, time–frequency representation of Wigner–Ville is used to analyse the acoustic signal backscattered by a thin elastic tube of radii ratio b/a. This analysis allows to determine the reduced cutoff frequency of the circumferential antisymmetric wave A1 propagating around the tube. The evolution of this reduced cutoff frequency in function of b/a is reported. The values obtained of reduced cutoff frequency are compared to the values computed from the proper modes method.

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DOI: 10.1016/S0963-8695(00)00003-7

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ISTEX:F90E212DBB9B458226A80DA087335271F75C40E4

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<note type="content">Fig. 1: Geometry for the backscattered pressure of a plane wave by a tube showing the specular reflection and circumferential waves ( and ).</note>
<note type="content">Fig. 2: Impulse response backscattered by an aluminium tube of radii ratio b/a=0.90.</note>
<note type="content">Fig. 3: PWVL image of signal backscattered by an aluminium tube (b/a=0.97, 220</note>
<note type="content">Fig. 4: PWVL image of signal backscattered by an aluminium tube (b/a=0.95, 130</note>
<note type="content">Fig. 5: PWVL image of signal backscattered by an aluminium tube (b/a=0.90, 65</note>
<note type="content">Fig. 6: Reduced cutoff frequency in function of radii ratio b/a of an aluminium tube (□ PWVL, — proper modes method).</note>
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<ce:simple-para>In this article, time–frequency representation of Wigner–Ville is used to analyse the acoustic signal backscattered by a thin elastic tube of radii ratio
<ce:italic>b</ce:italic>
/
<ce:italic>a</ce:italic>
. This analysis allows to determine the reduced cutoff frequency of the circumferential antisymmetric wave A1 propagating around the tube. The evolution of this reduced cutoff frequency in function of
<ce:italic>b</ce:italic>
/
<ce:italic>a</ce:italic>
is reported. The values obtained of reduced cutoff frequency are compared to the values computed from the proper modes method.</ce:simple-para>
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<ce:section-title>Keywords</ce:section-title>
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<ce:text>Time–frequency</ce:text>
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<ce:keyword>
<ce:text>Wigner–Ville distribution</ce:text>
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<ce:keyword>
<ce:text>Acoustic response</ce:text>
</ce:keyword>
<ce:keyword>
<ce:text>Circumferential antisymmetric wave</ce:text>
</ce:keyword>
<ce:keyword>
<ce:text>Reduced cutoff frequency</ce:text>
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<ce:keyword>
<ce:text>Aluminium tube</ce:text>
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<title>Determination of the cutoff frequency of an acoustic circumferential wave using a time–frequency analysis</title>
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<title>Determination of the cutoff frequency of an acoustic circumferential wave using a time–frequency analysis</title>
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<namePart type="family">Latif</namePart>
<affiliation>Faculté des Sciences, Laboratoire d'Instrumentation et de Mesures, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation>
<affiliation>Corresponding author. Tel.: +212-8-22-09-57; fax: +212-8-22-01-00</affiliation>
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<affiliation>Faculté des Sciences, Laboratoire d'Instrumentation et de Mesures, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation>
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<namePart type="family">Moudden</namePart>
<affiliation>Faculté des Sciences, Laboratoire d'Instrumentation et de Mesures, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation>
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<affiliation>Laboratoire d'Aacoustique Ultrasonore et d'Electronique (URA CNRS 1373), Université du Havre, Le Havre, France</affiliation>
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<affiliation>Laboratoire d'Aacoustique Ultrasonore et d'Electronique (URA CNRS 1373), Université du Havre, Le Havre, France</affiliation>
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<abstract lang="en">In this article, time–frequency representation of Wigner–Ville is used to analyse the acoustic signal backscattered by a thin elastic tube of radii ratio b/a. This analysis allows to determine the reduced cutoff frequency of the circumferential antisymmetric wave A1 propagating around the tube. The evolution of this reduced cutoff frequency in function of b/a is reported. The values obtained of reduced cutoff frequency are compared to the values computed from the proper modes method.</abstract>
<note type="content">Fig. 1: Geometry for the backscattered pressure of a plane wave by a tube showing the specular reflection and circumferential waves ( and ).</note>
<note type="content">Fig. 2: Impulse response backscattered by an aluminium tube of radii ratio b/a=0.90.</note>
<note type="content">Fig. 3: PWVL image of signal backscattered by an aluminium tube (b/a=0.97, 220</note>
<note type="content">Fig. 4: PWVL image of signal backscattered by an aluminium tube (b/a=0.95, 130</note>
<note type="content">Fig. 5: PWVL image of signal backscattered by an aluminium tube (b/a=0.90, 65</note>
<note type="content">Fig. 6: Reduced cutoff frequency in function of radii ratio b/a of an aluminium tube (□ PWVL, — proper modes method).</note>
<note type="content">Table 1: Comparison between the reduced cutoff frequencies computed and estimated</note>
<subject lang="en">
<genre>Keywords</genre>
<topic>Time–frequency</topic>
<topic>Wigner–Ville distribution</topic>
<topic>Acoustic response</topic>
<topic>Circumferential antisymmetric wave</topic>
<topic>Reduced cutoff frequency</topic>
<topic>Aluminium tube</topic>
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<identifier type="ISSN">0963-8695</identifier>
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