Determination of the group and phase velocities from time–frequency representation of Wigner–Ville
Identifieur interne : 000934 ( Istex/Corpus ); précédent : 000933; suivant : 000935Determination of the group and phase velocities from time–frequency representation of Wigner–Ville
Auteurs : R. Latif ; E. H. Aassif ; G. Maze ; A. Moudden ; B. FaizSource :
- NDT and E International [ 0963-8695 ] ; 1999.
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Abstract
The experimental measurement of the group and phase velocities of some circumferential waves propagating around a thin elastic tube is a still complex operation. In this study, we show that the dispersion velocity can be determined from a time–frequency representation. We use the Wigner–Ville method by virtue of its interesting properties. On some time–frequency images, the symmetric (S0) and antisymmetric (A1) circumferential waves are identified. The group velocity dispersion estimated from these images is compared with that computed by the proper mode theory method. A good agreement is obtained. The phase velocity is also determined from the group velocity.
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DOI: 10.1016/S0963-8695(99)00013-4
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<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</title><author><name sortKey="Latif, R" sort="Latif, R" uniqKey="Latif R" first="R." last="Latif">R. Latif</name><affiliation><mods:affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</mods:affiliation></affiliation><affiliation><mods:affiliation>Corresponding author. Tel: +212-8-22-09-57; fax: +212-8-22-01-00</mods:affiliation></affiliation></author><author><name sortKey="Aassif, E H" sort="Aassif, E H" uniqKey="Aassif E" first="E. H." last="Aassif">E. H. Aassif</name><affiliation><mods:affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</mods:affiliation></affiliation></author><author><name sortKey="Maze, G" sort="Maze, G" uniqKey="Maze G" first="G." last="Maze">G. Maze</name><affiliation><mods:affiliation>Laboratoire d'Acoustique Ultrasonore et d'Electronique, URA CNRS 1373, Université du Havre, 76610 le Havre, France</mods:affiliation></affiliation></author><author><name sortKey="Moudden, A" sort="Moudden, A" uniqKey="Moudden A" first="A." last="Moudden">A. Moudden</name><affiliation><mods:affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</mods:affiliation></affiliation></author><author><name sortKey="Faiz, B" sort="Faiz, B" uniqKey="Faiz B" first="B." last="Faiz">B. Faiz</name><affiliation><mods:affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:F02F03CE6FE3ED7970037E2D41961DC8C32E5B04</idno><date when="1999" year="1999">1999</date><idno type="doi">10.1016/S0963-8695(99)00013-4</idno><idno type="url">https://api.istex.fr/document/F02F03CE6FE3ED7970037E2D41961DC8C32E5B04/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000934</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</title><author><name sortKey="Latif, R" sort="Latif, R" uniqKey="Latif R" first="R." last="Latif">R. Latif</name><affiliation><mods:affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</mods:affiliation></affiliation><affiliation><mods:affiliation>Corresponding author. Tel: +212-8-22-09-57; fax: +212-8-22-01-00</mods:affiliation></affiliation></author><author><name sortKey="Aassif, E H" sort="Aassif, E H" uniqKey="Aassif E" first="E. H." last="Aassif">E. H. Aassif</name><affiliation><mods:affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</mods:affiliation></affiliation></author><author><name sortKey="Maze, G" sort="Maze, G" uniqKey="Maze G" first="G." last="Maze">G. 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Faiz</name><affiliation><mods:affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">NDT and E International</title><title level="j" type="abbrev">JNDT</title><idno type="ISSN">0963-8695</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1999">1999</date><biblScope unit="volume">32</biblScope><biblScope unit="issue">7</biblScope><biblScope unit="page" from="415">415</biblScope><biblScope unit="page" to="422">422</biblScope></imprint><idno type="ISSN">0963-8695</idno></series><idno type="istex">F02F03CE6FE3ED7970037E2D41961DC8C32E5B04</idno><idno type="DOI">10.1016/S0963-8695(99)00013-4</idno><idno type="PII">S0963-8695(99)00013-4</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0963-8695</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Acoustic response</term><term>Circumferential waves</term><term>Group velocity</term><term>Phase velocity</term><term>Scattering waves</term><term>Submerged elastic shell</term><term>Time–frequency</term><term>Wigner–Ville</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The experimental measurement of the group and phase velocities of some circumferential waves propagating around a thin elastic tube is a still complex operation. In this study, we show that the dispersion velocity can be determined from a time–frequency representation. We use the Wigner–Ville method by virtue of its interesting properties. On some time–frequency images, the symmetric (S0) and antisymmetric (A1) circumferential waves are identified. The group velocity dispersion estimated from these images is compared with that computed by the proper mode theory method. A good agreement is obtained. The phase velocity is also determined from the group velocity.</div></front></TEI><istex><corpusName>elsevier</corpusName><author><json:item><name>R. Latif</name><affiliations><json:string>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</json:string><json:string>Corresponding author. Tel: +212-8-22-09-57; fax: +212-8-22-01-00</json:string></affiliations></json:item><json:item><name>E.H. Aassif</name><affiliations><json:string>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</json:string></affiliations></json:item><json:item><name>G. Maze</name><affiliations><json:string>Laboratoire d'Acoustique Ultrasonore et d'Electronique, URA CNRS 1373, Université du Havre, 76610 le Havre, France</json:string></affiliations></json:item><json:item><name>A. Moudden</name><affiliations><json:string>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</json:string></affiliations></json:item><json:item><name>B. Faiz</name><affiliations><json:string>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</json:string></affiliations></json:item></author><subject><json:item><lang><json:string>eng</json:string></lang><value>Acoustic response</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Submerged elastic shell</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Scattering waves</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Circumferential waves</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Time–frequency</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Wigner–Ville</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Group velocity</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Phase velocity</value></json:item></subject><language><json:string>eng</json:string></language><originalGenre><json:string>Full-length article</json:string></originalGenre><abstract>The experimental measurement of the group and phase velocities of some circumferential waves propagating around a thin elastic tube is a still complex operation. In this study, we show that the dispersion velocity can be determined from a time–frequency representation. We use the Wigner–Ville method by virtue of its interesting properties. On some time–frequency images, the symmetric (S0) and antisymmetric (A1) circumferential waves are identified. The group velocity dispersion estimated from these images is compared with that computed by the proper mode theory method. A good agreement is obtained. The phase velocity is also determined from the group velocity.</abstract><qualityIndicators><score>4.064</score><pdfVersion>1.2</pdfVersion><pdfPageSize>595 x 794 pts</pdfPageSize><refBibsNative>true</refBibsNative><keywordCount>8</keywordCount><abstractCharCount>668</abstractCharCount><pdfWordCount>2876</pdfWordCount><pdfCharCount>16974</pdfCharCount><pdfPageCount>8</pdfPageCount><abstractWordCount>99</abstractWordCount></qualityIndicators><title>Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</title><pii><json:string>S0963-8695(99)00013-4</json:string></pii><genre><json:string>research-article</json:string></genre><host><volume>32</volume><pii><json:string>S0963-8695(00)X0031-X</json:string></pii><pages><last>422</last><first>415</first></pages><issn><json:string>0963-8695</json:string></issn><issue>7</issue><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><title>NDT and E International</title><publicationDate>1999</publicationDate></host><categories><wos><json:string>MATERIALS SCIENCE, CHARACTERIZATION & TESTING</json:string></wos></categories><publicationDate>1999</publicationDate><copyrightDate>1999</copyrightDate><doi><json:string>10.1016/S0963-8695(99)00013-4</json:string></doi><id>F02F03CE6FE3ED7970037E2D41961DC8C32E5B04</id><score>0.25873625</score><fulltext><json:item><original>true</original><mimetype>application/pdf</mimetype><extension>pdf</extension><uri>https://api.istex.fr/document/F02F03CE6FE3ED7970037E2D41961DC8C32E5B04/fulltext/pdf</uri></json:item><json:item><original>false</original><mimetype>application/zip</mimetype><extension>zip</extension><uri>https://api.istex.fr/document/F02F03CE6FE3ED7970037E2D41961DC8C32E5B04/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/F02F03CE6FE3ED7970037E2D41961DC8C32E5B04/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</title></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>ELSEVIER</publisher><availability><p>©1999 Elsevier Science Ltd</p></availability><date>1999</date></publicationStmt><notesStmt><note type="content">Fig. 1: General geometry for the backscattering of a plane wave by a cylindrical shell.</note><note type="content">Fig. 2: Form function for an infinite cylindrical shell with empty cavity (the characteristics of the Aluminum shell are: cL=6380m/s, cT=3100m/s, ρ=2790kg/m3, b/a=0.95).</note><note type="content">Fig. 3: Impulse response of an infinite cylindrical shell with empty cavity.</note><note type="content">Fig. 4: Phase velocity dispersion for an infinite cylindrical shell with empty cavity (the characteristics of the Aluminum shell are: cL=6380m/s, cT=3100m/s, ρ=2790kg/m3, b/a=0.95).</note><note type="content">Fig. 5: Group velocity dispersion for an infinite cylindrical shell with empty cavity (the characteristics of the Aluminum shell are: cL=6380m/s, cT=3100m/s, ρ=2790kg/m3, b/a=0.95).</note><note type="content">Fig. 6: Time–frequency image by PWVL of the impulse response for an Aluminum shell of radii ratio b/a=0.95 (Symmetric circumferential wave S0 for reduced frequency ranges 20</note> <note type="content">Fig. 7: Time–frequency image by PWVL of the impulse response for an Aluminum shell of radii ratio b/a=0.95 (antisymmetric circumferential wave A1 for reduced frequency ranges k1a>130).</note><note type="content">Fig. 8: Group velocity of the symmetric circumferential wave S0 (□ PWVL, – theory of proper modes).</note><note type="content">Fig. 9: Group velocity of the antisymmetric cirumferentieal wave A1 (□ PWVL, – Theory of proper modes).</note><note type="content">Table 1: Fluid parameters</note><note type="content">Table 2: Phase velocity of symmetric cicumferential wave S0</note><note type="content">Table 3: Phase velocity of cicumferential wave A1</note></notesStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</title><author xml:id="author-1"><persName><forename type="first">R.</forename><surname>Latif</surname></persName><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation><affiliation>Corresponding author. Tel: +212-8-22-09-57; fax: +212-8-22-01-00</affiliation></author><author xml:id="author-2"><persName><forename type="first">E.H.</forename><surname>Aassif</surname></persName><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation></author><author xml:id="author-3"><persName><forename type="first">G.</forename><surname>Maze</surname></persName><affiliation>Laboratoire d'Acoustique Ultrasonore et d'Electronique, URA CNRS 1373, Université du Havre, 76610 le Havre, France</affiliation></author><author xml:id="author-4"><persName><forename type="first">A.</forename><surname>Moudden</surname></persName><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation></author><author xml:id="author-5"><persName><forename type="first">B.</forename><surname>Faiz</surname></persName><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation></author></analytic><monogr><title level="j">NDT and E International</title><title level="j" type="abbrev">JNDT</title><idno type="pISSN">0963-8695</idno><idno type="PII">S0963-8695(00)X0031-X</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1999"></date><biblScope unit="volume">32</biblScope><biblScope unit="issue">7</biblScope><biblScope unit="page" from="415">415</biblScope><biblScope unit="page" to="422">422</biblScope></imprint></monogr><idno type="istex">F02F03CE6FE3ED7970037E2D41961DC8C32E5B04</idno><idno type="DOI">10.1016/S0963-8695(99)00013-4</idno><idno type="PII">S0963-8695(99)00013-4</idno></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>1999</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>The experimental measurement of the group and phase velocities of some circumferential waves propagating around a thin elastic tube is a still complex operation. In this study, we show that the dispersion velocity can be determined from a time–frequency representation. We use the Wigner–Ville method by virtue of its interesting properties. On some time–frequency images, the symmetric (S0) and antisymmetric (A1) circumferential waves are identified. The group velocity dispersion estimated from these images is compared with that computed by the proper mode theory method. A good agreement is obtained. The phase velocity is also determined from the group velocity.</p></abstract><textClass xml:lang="en"><keywords scheme="keyword"><list><head>Keywords</head><item><term>Acoustic response</term></item><item><term>Submerged elastic shell</term></item><item><term>Scattering waves</term></item><item><term>Circumferential waves</term></item><item><term>Time–frequency</term></item><item><term>Wigner–Ville</term></item><item><term>Group velocity</term></item><item><term>Phase velocity</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1999-03-17">Modified</change><change when="1999">Published</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><original>false</original><mimetype>text/plain</mimetype><extension>txt</extension><uri>https://api.istex.fr/document/F02F03CE6FE3ED7970037E2D41961DC8C32E5B04/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="Elsevier, elements deleted: ce:floats; body; tail"><istex:xmlDeclaration>version="1.0" encoding="utf-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"><istex:entity SYSTEM="gr1" NDATA="IMAGE" name="gr1"></istex:entity><istex:entity SYSTEM="gr2" NDATA="IMAGE" name="gr2"></istex:entity><istex:entity SYSTEM="gr3" NDATA="IMAGE" name="gr3"></istex:entity><istex:entity SYSTEM="gr4" NDATA="IMAGE" name="gr4"></istex:entity><istex:entity SYSTEM="gr5" NDATA="IMAGE" name="gr5"></istex:entity><istex:entity SYSTEM="gr6" NDATA="IMAGE" name="gr6"></istex:entity><istex:entity SYSTEM="gr7" NDATA="IMAGE" name="gr7"></istex:entity><istex:entity SYSTEM="gr8" NDATA="IMAGE" name="gr8"></istex:entity><istex:entity SYSTEM="gr9" NDATA="IMAGE" name="gr9"></istex:entity></istex:docType><istex:document><converted-article version="4.5.2" docsubtype="fla" xml:lang="en"><item-info><jid>JNDT</jid><aid>280</aid><ce:pii>S0963-8695(99)00013-4</ce:pii><ce:doi>10.1016/S0963-8695(99)00013-4</ce:doi><ce:copyright type="full-transfer" year="1999">Elsevier Science Ltd</ce:copyright></item-info><head><ce:title>Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</ce:title><ce:author-group><ce:author><ce:given-name>R.</ce:given-name><ce:surname>Latif</ce:surname><ce:cross-ref refid="AFF1"><ce:sup>a</ce:sup></ce:cross-ref><ce:cross-ref refid="CORR1">*</ce:cross-ref></ce:author><ce:author><ce:given-name>E.H.</ce:given-name><ce:surname>Aassif</ce:surname><ce:cross-ref refid="AFF1"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:author><ce:given-name>G.</ce:given-name><ce:surname>Maze</ce:surname><ce:cross-ref refid="AFF2"><ce:sup>b</ce:sup></ce:cross-ref></ce:author><ce:author><ce:given-name>A.</ce:given-name><ce:surname>Moudden</ce:surname><ce:cross-ref refid="AFF1"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:author><ce:given-name>B.</ce:given-name><ce:surname>Faiz</ce:surname><ce:cross-ref refid="AFF1"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:affiliation id="AFF1"><ce:label>a</ce:label><ce:textfn>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</ce:textfn></ce:affiliation><ce:affiliation id="AFF2"><ce:label>b</ce:label><ce:textfn>Laboratoire d'Acoustique Ultrasonore et d'Electronique, URA CNRS 1373, Université du Havre, 76610 le Havre, France</ce:textfn></ce:affiliation><ce:correspondence id="CORR1"><ce:label>*</ce:label><ce:text>Corresponding author. Tel: +212-8-22-09-57; fax: +212-8-22-01-00</ce:text></ce:correspondence></ce:author-group><ce:date-received day="22" month="12" year="1998"></ce:date-received><ce:date-revised day="17" month="3" year="1999"></ce:date-revised><ce:date-accepted day="11" month="4" year="1999"></ce:date-accepted><ce:abstract><ce:section-title>Abstract</ce:section-title><ce:abstract-sec><ce:simple-para>The experimental measurement of the group and phase velocities of some circumferential waves propagating around a thin elastic tube is a still complex operation. In this study, we show that the dispersion velocity can be determined from a time–frequency representation. We use the Wigner–Ville method by virtue of its interesting properties. On some time–frequency images, the symmetric (S0) and antisymmetric (A1) circumferential waves are identified. The group velocity dispersion estimated from these images is compared with that computed by the proper mode theory method. A good agreement is obtained. The phase velocity is also determined from the group velocity.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords class="keyword" xml:lang="en"><ce:section-title>Keywords</ce:section-title><ce:keyword><ce:text>Acoustic response</ce:text></ce:keyword><ce:keyword><ce:text>Submerged elastic shell</ce:text></ce:keyword><ce:keyword><ce:text>Scattering waves</ce:text></ce:keyword><ce:keyword><ce:text>Circumferential waves</ce:text></ce:keyword><ce:keyword><ce:text>Time–frequency</ce:text></ce:keyword><ce:keyword><ce:text>Wigner–Ville</ce:text></ce:keyword><ce:keyword><ce:text>Group velocity</ce:text></ce:keyword><ce:keyword><ce:text>Phase velocity</ce:text></ce:keyword></ce:keywords></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</title></titleInfo><titleInfo type="alternative" lang="en" contentType="CDATA"><title>Determination of the group and phase velocities from time–frequency representation of Wigner–Ville</title></titleInfo><name type="personal"><namePart type="given">R.</namePart><namePart type="family">Latif</namePart><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation><affiliation>Corresponding author. Tel: +212-8-22-09-57; fax: +212-8-22-01-00</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">E.H.</namePart><namePart type="family">Aassif</namePart><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">G.</namePart><namePart type="family">Maze</namePart><affiliation>Laboratoire d'Acoustique Ultrasonore et d'Electronique, URA CNRS 1373, Université du Havre, 76610 le Havre, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">A.</namePart><namePart type="family">Moudden</namePart><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">B.</namePart><namePart type="family">Faiz</namePart><affiliation>Laboratoire d'Instrumentation et de Mesures, BP 28/S, Faculté des Sciences, Université Ibn Zohr, 80000 Agadir, Morocco</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article"></genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1999</dateIssued><dateModified encoding="w3cdtf">1999-03-17</dateModified><copyrightDate encoding="w3cdtf">1999</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">The experimental measurement of the group and phase velocities of some circumferential waves propagating around a thin elastic tube is a still complex operation. In this study, we show that the dispersion velocity can be determined from a time–frequency representation. We use the Wigner–Ville method by virtue of its interesting properties. On some time–frequency images, the symmetric (S0) and antisymmetric (A1) circumferential waves are identified. The group velocity dispersion estimated from these images is compared with that computed by the proper mode theory method. A good agreement is obtained. The phase velocity is also determined from the group velocity.</abstract><note type="content">Fig. 1: General geometry for the backscattering of a plane wave by a cylindrical shell.</note><note type="content">Fig. 2: Form function for an infinite cylindrical shell with empty cavity (the characteristics of the Aluminum shell are: cL=6380m/s, cT=3100m/s, ρ=2790kg/m3, b/a=0.95).</note><note type="content">Fig. 3: Impulse response of an infinite cylindrical shell with empty cavity.</note><note type="content">Fig. 4: Phase velocity dispersion for an infinite cylindrical shell with empty cavity (the characteristics of the Aluminum shell are: cL=6380m/s, cT=3100m/s, ρ=2790kg/m3, b/a=0.95).</note><note type="content">Fig. 5: Group velocity dispersion for an infinite cylindrical shell with empty cavity (the characteristics of the Aluminum shell are: cL=6380m/s, cT=3100m/s, ρ=2790kg/m3, b/a=0.95).</note><note type="content">Fig. 6: Time–frequency image by PWVL of the impulse response for an Aluminum shell of radii ratio b/a=0.95 (Symmetric circumferential wave S0 for reduced frequency ranges 20</note> <note type="content">Fig. 7: Time–frequency image by PWVL of the impulse response for an Aluminum shell of radii ratio b/a=0.95 (antisymmetric circumferential wave A1 for reduced frequency ranges k1a>130).</note><note type="content">Fig. 8: Group velocity of the symmetric circumferential wave S0 (□ PWVL, – theory of proper modes).</note><note type="content">Fig. 9: Group velocity of the antisymmetric cirumferentieal wave A1 (□ PWVL, – Theory of proper modes).</note><note type="content">Table 1: Fluid parameters</note><note type="content">Table 2: Phase velocity of symmetric cicumferential wave S0</note><note type="content">Table 3: Phase velocity of cicumferential wave A1</note><subject lang="en"><genre>Keywords</genre><topic>Acoustic response</topic><topic>Submerged elastic shell</topic><topic>Scattering waves</topic><topic>Circumferential waves</topic><topic>Time–frequency</topic><topic>Wigner–Ville</topic><topic>Group velocity</topic><topic>Phase velocity</topic></subject><relatedItem type="host"><titleInfo><title>NDT and E International</title></titleInfo><titleInfo type="abbreviated"><title>JNDT</title></titleInfo><genre type="journal">journal</genre><originInfo><dateIssued encoding="w3cdtf">199910</dateIssued></originInfo><identifier type="ISSN">0963-8695</identifier><identifier type="PII">S0963-8695(00)X0031-X</identifier><part><date>199910</date><detail type="volume"><number>32</number><caption>vol.</caption></detail><detail type="issue"><number>7</number><caption>no.</caption></detail><extent unit="issue pages"><start>369</start><end>426</end></extent><extent unit="pages"><start>415</start><end>422</end></extent></part></relatedItem><identifier type="istex">F02F03CE6FE3ED7970037E2D41961DC8C32E5B04</identifier><identifier type="DOI">10.1016/S0963-8695(99)00013-4</identifier><identifier type="PII">S0963-8695(99)00013-4</identifier><accessCondition type="use and reproduction" contentType="copyright">©1999 Elsevier Science Ltd</accessCondition><recordInfo><recordContentSource>ELSEVIER</recordContentSource><recordOrigin>Elsevier Science Ltd, ©1999</recordOrigin></recordInfo></mods></metadata><enrichments><istex:catWosTEI uri="https://api.istex.fr/document/F02F03CE6FE3ED7970037E2D41961DC8C32E5B04/enrichments/catWos"><teiHeader><profileDesc><textClass><classCode scheme="WOS">MATERIALS SCIENCE, CHARACTERIZATION & TESTING</classCode></textClass></profileDesc></teiHeader></istex:catWosTEI></enrichments><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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