Free-vibration acoustic resonance of nonlinear hyperelastic materials
The free-vibration acoustic resonance (FVAR) of nonlinear hyperelastic materials was investigated within the framework of nonlinear elasticity and the calculus of variations. Variational analysis revealed that displacement due to FVAR satisfies the following conditions: time reversal symmetry, time...
Gespeichert in:
| Veröffentlicht in: | Japanese Journal of Applied Physics 2014-07, Vol.53 (7S), p.7-1-07KB09-10 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1-07KB09-10 |
|---|---|
| container_issue | 7S |
| container_start_page | 7 |
| container_title | Japanese Journal of Applied Physics |
| container_volume | 53 |
| creator | Tarumi, Ryuichi Yamada, Shinpei Shibutani, Yoji |
| description | The free-vibration acoustic resonance (FVAR) of nonlinear hyperelastic materials was investigated within the framework of nonlinear elasticity and the calculus of variations. Variational analysis revealed that displacement due to FVAR satisfies the following conditions: time reversal symmetry, time periodicity, periodic vanishing of displacement velocity, and surface traction-free conditions. Numerical analysis of two-dimensional St. Venant-Kirchhoff hyperelastic materials revealed the existence and structure of the color symmetry embedded therein. The nonlinear FVAR modes showed non-monotonic amplitude dependence of resonance frequency. The symmetries of three-dimensional nonlinear FVAR modes for triclinic, monoclinic, and orthorhombic elastic media are shown on the basis of the magnetic point groups. This classification shows excellent agreement with that obtained by the overtone analysis of molecular vibration. |
| doi_str_mv | 10.7567/JJAP.53.07KB09 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1685781831</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1685781831</sourcerecordid><originalsourceid>FETCH-LOGICAL-c407t-2cac4b840259b1b7761d66b73870e6e97a66d194bfb2551cab49166f8fbdea63</originalsourceid><addsrcrecordid>eNp1kF1LwzAUhoMoOD9uve6lCp1Jm4_2co5NnQMFdx-S9BRTuqQmnbB_b2d3qVcvB573cM6D0A3BU8G4eFitZu9Tlk-xeH3E5QmakJyKlGLOTtEE44yktMyyc3QRYzOMnFEyQYtlAEi_rQ6qt94lyvhd7K1JAkTvlDOQ-Dpx3rXWgQrJ576DAK36Zbaqh2BVG6_QWT0EXB_zEm2Wi838OV2_Pb3MZ-vUUCz6NDPKUF1QnLFSEy0EJxXnWuSFwMChFIrzipRU1zpjjBilaUk4r4taV6B4folux7Vd8F87iL3c2migbZWD4WxJeMFEQYqcDOh0RE3wMQaoZRfsVoW9JFgedMmDLslyOeoaCvdjwfpONn4X3PDI__DdH3DTqO4AiY8jJ7uqzn8AqKl5rA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1685781831</pqid></control><display><type>article</type><title>Free-vibration acoustic resonance of nonlinear hyperelastic materials</title><source>IOP Publishing Journals</source><source>Institute of Physics (IOP) Journals - HEAL-Link</source><creator>Tarumi, Ryuichi ; Yamada, Shinpei ; Shibutani, Yoji</creator><creatorcontrib>Tarumi, Ryuichi ; Yamada, Shinpei ; Shibutani, Yoji</creatorcontrib><description>The free-vibration acoustic resonance (FVAR) of nonlinear hyperelastic materials was investigated within the framework of nonlinear elasticity and the calculus of variations. Variational analysis revealed that displacement due to FVAR satisfies the following conditions: time reversal symmetry, time periodicity, periodic vanishing of displacement velocity, and surface traction-free conditions. Numerical analysis of two-dimensional St. Venant-Kirchhoff hyperelastic materials revealed the existence and structure of the color symmetry embedded therein. The nonlinear FVAR modes showed non-monotonic amplitude dependence of resonance frequency. The symmetries of three-dimensional nonlinear FVAR modes for triclinic, monoclinic, and orthorhombic elastic media are shown on the basis of the magnetic point groups. This classification shows excellent agreement with that obtained by the overtone analysis of molecular vibration.</description><identifier>ISSN: 0021-4922</identifier><identifier>EISSN: 1347-4065</identifier><identifier>DOI: 10.7567/JJAP.53.07KB09</identifier><identifier>CODEN: JJAPB6</identifier><language>eng</language><publisher>The Japan Society of Applied Physics</publisher><subject>Acoustic resonance ; Displacement ; Elastic media ; Magnetic resonance ; Nonlinearity ; Numerical analysis ; Symmetry ; Three dimensional ; Vibration</subject><ispartof>Japanese Journal of Applied Physics, 2014-07, Vol.53 (7S), p.7-1-07KB09-10</ispartof><rights>2014 The Japan Society of Applied Physics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c407t-2cac4b840259b1b7761d66b73870e6e97a66d194bfb2551cab49166f8fbdea63</citedby><cites>FETCH-LOGICAL-c407t-2cac4b840259b1b7761d66b73870e6e97a66d194bfb2551cab49166f8fbdea63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.7567/JJAP.53.07KB09/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,776,780,27901,27902,53821,53868</link.rule.ids></links><search><creatorcontrib>Tarumi, Ryuichi</creatorcontrib><creatorcontrib>Yamada, Shinpei</creatorcontrib><creatorcontrib>Shibutani, Yoji</creatorcontrib><title>Free-vibration acoustic resonance of nonlinear hyperelastic materials</title><title>Japanese Journal of Applied Physics</title><addtitle>Jpn. J. Appl. Phys</addtitle><description>The free-vibration acoustic resonance (FVAR) of nonlinear hyperelastic materials was investigated within the framework of nonlinear elasticity and the calculus of variations. Variational analysis revealed that displacement due to FVAR satisfies the following conditions: time reversal symmetry, time periodicity, periodic vanishing of displacement velocity, and surface traction-free conditions. Numerical analysis of two-dimensional St. Venant-Kirchhoff hyperelastic materials revealed the existence and structure of the color symmetry embedded therein. The nonlinear FVAR modes showed non-monotonic amplitude dependence of resonance frequency. The symmetries of three-dimensional nonlinear FVAR modes for triclinic, monoclinic, and orthorhombic elastic media are shown on the basis of the magnetic point groups. This classification shows excellent agreement with that obtained by the overtone analysis of molecular vibration.</description><subject>Acoustic resonance</subject><subject>Displacement</subject><subject>Elastic media</subject><subject>Magnetic resonance</subject><subject>Nonlinearity</subject><subject>Numerical analysis</subject><subject>Symmetry</subject><subject>Three dimensional</subject><subject>Vibration</subject><issn>0021-4922</issn><issn>1347-4065</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp1kF1LwzAUhoMoOD9uve6lCp1Jm4_2co5NnQMFdx-S9BRTuqQmnbB_b2d3qVcvB573cM6D0A3BU8G4eFitZu9Tlk-xeH3E5QmakJyKlGLOTtEE44yktMyyc3QRYzOMnFEyQYtlAEi_rQ6qt94lyvhd7K1JAkTvlDOQ-Dpx3rXWgQrJ576DAK36Zbaqh2BVG6_QWT0EXB_zEm2Wi838OV2_Pb3MZ-vUUCz6NDPKUF1QnLFSEy0EJxXnWuSFwMChFIrzipRU1zpjjBilaUk4r4taV6B4folux7Vd8F87iL3c2migbZWD4WxJeMFEQYqcDOh0RE3wMQaoZRfsVoW9JFgedMmDLslyOeoaCvdjwfpONn4X3PDI__DdH3DTqO4AiY8jJ7uqzn8AqKl5rA</recordid><startdate>20140701</startdate><enddate>20140701</enddate><creator>Tarumi, Ryuichi</creator><creator>Yamada, Shinpei</creator><creator>Shibutani, Yoji</creator><general>The Japan Society of Applied Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20140701</creationdate><title>Free-vibration acoustic resonance of nonlinear hyperelastic materials</title><author>Tarumi, Ryuichi ; Yamada, Shinpei ; Shibutani, Yoji</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c407t-2cac4b840259b1b7761d66b73870e6e97a66d194bfb2551cab49166f8fbdea63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Acoustic resonance</topic><topic>Displacement</topic><topic>Elastic media</topic><topic>Magnetic resonance</topic><topic>Nonlinearity</topic><topic>Numerical analysis</topic><topic>Symmetry</topic><topic>Three dimensional</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tarumi, Ryuichi</creatorcontrib><creatorcontrib>Yamada, Shinpei</creatorcontrib><creatorcontrib>Shibutani, Yoji</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Japanese Journal of Applied Physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tarumi, Ryuichi</au><au>Yamada, Shinpei</au><au>Shibutani, Yoji</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Free-vibration acoustic resonance of nonlinear hyperelastic materials</atitle><jtitle>Japanese Journal of Applied Physics</jtitle><addtitle>Jpn. J. Appl. Phys</addtitle><date>2014-07-01</date><risdate>2014</risdate><volume>53</volume><issue>7S</issue><spage>7</spage><epage>1-07KB09-10</epage><pages>7-1-07KB09-10</pages><issn>0021-4922</issn><eissn>1347-4065</eissn><coden>JJAPB6</coden><abstract>The free-vibration acoustic resonance (FVAR) of nonlinear hyperelastic materials was investigated within the framework of nonlinear elasticity and the calculus of variations. Variational analysis revealed that displacement due to FVAR satisfies the following conditions: time reversal symmetry, time periodicity, periodic vanishing of displacement velocity, and surface traction-free conditions. Numerical analysis of two-dimensional St. Venant-Kirchhoff hyperelastic materials revealed the existence and structure of the color symmetry embedded therein. The nonlinear FVAR modes showed non-monotonic amplitude dependence of resonance frequency. The symmetries of three-dimensional nonlinear FVAR modes for triclinic, monoclinic, and orthorhombic elastic media are shown on the basis of the magnetic point groups. This classification shows excellent agreement with that obtained by the overtone analysis of molecular vibration.</abstract><pub>The Japan Society of Applied Physics</pub><doi>10.7567/JJAP.53.07KB09</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0021-4922 |
| ispartof | Japanese Journal of Applied Physics, 2014-07, Vol.53 (7S), p.7-1-07KB09-10 |
| issn | 0021-4922 1347-4065 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1685781831 |
| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Acoustic resonance Displacement Elastic media Magnetic resonance Nonlinearity Numerical analysis Symmetry Three dimensional Vibration |
| title | Free-vibration acoustic resonance of nonlinear hyperelastic materials |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-12T22%3A32%3A36IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Free-vibration%20acoustic%20resonance%20of%20nonlinear%20hyperelastic%20materials&rft.jtitle=Japanese%20Journal%20of%20Applied%20Physics&rft.au=Tarumi,%20Ryuichi&rft.date=2014-07-01&rft.volume=53&rft.issue=7S&rft.spage=7&rft.epage=1-07KB09-10&rft.pages=7-1-07KB09-10&rft.issn=0021-4922&rft.eissn=1347-4065&rft.coden=JJAPB6&rft_id=info:doi/10.7567/JJAP.53.07KB09&rft_dat=%3Cproquest_cross%3E1685781831%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1685781831&rft_id=info:pmid/&rfr_iscdi=true |