Dynamics of A Single Elastic Bodies under Large Rigid Rotation
The generalized elasticity is presented where a modified constitutive relation for the couple stress is proposed. A rigid-flexible coupled model is set up where three types of additional inertia forces along with their increments are elucidated in the model. The finite element formulation is develop...
Gespeichert in:
| Veröffentlicht in: | Applied Mechanics and Materials 2012-11, Vol.226-228, p.451-458 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 458 |
|---|---|
| container_issue | |
| container_start_page | 451 |
| container_title | Applied Mechanics and Materials |
| container_volume | 226-228 |
| creator | Liu, Zhan Fang Yan, Shi Jun |
| description | The generalized elasticity is presented where a modified constitutive relation for the couple stress is proposed. A rigid-flexible coupled model is set up where three types of additional inertia forces along with their increments are elucidated in the model. The finite element formulation is developed with the use of the constrained variational principle. As an example, a dynamic analysis on a rotating cantilever is numerically carried out. The dynamical responses of the displacement and rotational angle at the free end, the stress and couple stress at the fixed end of cantilever are presented. An idea of critical angular velocities is proposed to insure system stability. The displacement trajectory of the free end of cantilever is approached and the dynamic stiffening problem is discussed. |
| doi_str_mv | 10.4028/www.scientific.net/AMM.226-228.451 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1442898930</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3102618091</sourcerecordid><originalsourceid>FETCH-LOGICAL-c303t-f39e82ed6a3db919e92aa776a435b7f2ac1e89a9c7ca6e508092a654948e98ac3</originalsourceid><addsrcrecordid>eNqNkMtKAzEUhoMXUGvfIeBOmGkmyeSyEXrzAi1C1XVIM5maUjOapJS-vdEKunRxOIvz8_2HD4DrCpUUYTHY7XZlNM765FpnSm_TYDiflxizAmNR0ro6AucVY7jgVOBj0JdcEES4qGvE8cn3DRWSEHYGLmJcI8RoRcU5uJnsvX5zJsKuhUP45PxqY-F0o2NyBo66xtkIt76xAc50WFm4cCvXwEWXdHKdvwSnrd5E2__ZPfByO30e3xezx7uH8XBWmPxFKloircC2YZo0S1lJK7HWnDNNSb3kLdamskJqabjRzNZIoBxgNZVUWCm0IT1wdeC-h-5ja2NS624bfK5UFaVYSCFzUQ-MDikTuhiDbdV7cG867FWF1JdHlT2qX48qe1TZo8oe8wiVPWbI5ABJQfuYrHn90_V_zCeKyoI_</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1442898930</pqid></control><display><type>article</type><title>Dynamics of A Single Elastic Bodies under Large Rigid Rotation</title><source>Scientific.net Journals</source><creator>Liu, Zhan Fang ; Yan, Shi Jun</creator><creatorcontrib>Liu, Zhan Fang ; Yan, Shi Jun</creatorcontrib><description>The generalized elasticity is presented where a modified constitutive relation for the couple stress is proposed. A rigid-flexible coupled model is set up where three types of additional inertia forces along with their increments are elucidated in the model. The finite element formulation is developed with the use of the constrained variational principle. As an example, a dynamic analysis on a rotating cantilever is numerically carried out. The dynamical responses of the displacement and rotational angle at the free end, the stress and couple stress at the fixed end of cantilever are presented. An idea of critical angular velocities is proposed to insure system stability. The displacement trajectory of the free end of cantilever is approached and the dynamic stiffening problem is discussed.</description><identifier>ISSN: 1660-9336</identifier><identifier>ISSN: 1662-7482</identifier><identifier>ISBN: 9783037855072</identifier><identifier>ISBN: 303785507X</identifier><identifier>EISSN: 1662-7482</identifier><identifier>DOI: 10.4028/www.scientific.net/AMM.226-228.451</identifier><language>eng</language><publisher>Zurich: Trans Tech Publications Ltd</publisher><ispartof>Applied Mechanics and Materials, 2012-11, Vol.226-228, p.451-458</ispartof><rights>2012 Trans Tech Publications Ltd</rights><rights>Copyright Trans Tech Publications Ltd. Nov 2012</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c303t-f39e82ed6a3db919e92aa776a435b7f2ac1e89a9c7ca6e508092a654948e98ac3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttps://www.scientific.net/Image/TitleCover/2031?width=600</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Liu, Zhan Fang</creatorcontrib><creatorcontrib>Yan, Shi Jun</creatorcontrib><title>Dynamics of A Single Elastic Bodies under Large Rigid Rotation</title><title>Applied Mechanics and Materials</title><description>The generalized elasticity is presented where a modified constitutive relation for the couple stress is proposed. A rigid-flexible coupled model is set up where three types of additional inertia forces along with their increments are elucidated in the model. The finite element formulation is developed with the use of the constrained variational principle. As an example, a dynamic analysis on a rotating cantilever is numerically carried out. The dynamical responses of the displacement and rotational angle at the free end, the stress and couple stress at the fixed end of cantilever are presented. An idea of critical angular velocities is proposed to insure system stability. The displacement trajectory of the free end of cantilever is approached and the dynamic stiffening problem is discussed.</description><issn>1660-9336</issn><issn>1662-7482</issn><issn>1662-7482</issn><isbn>9783037855072</isbn><isbn>303785507X</isbn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqNkMtKAzEUhoMXUGvfIeBOmGkmyeSyEXrzAi1C1XVIM5maUjOapJS-vdEKunRxOIvz8_2HD4DrCpUUYTHY7XZlNM765FpnSm_TYDiflxizAmNR0ro6AucVY7jgVOBj0JdcEES4qGvE8cn3DRWSEHYGLmJcI8RoRcU5uJnsvX5zJsKuhUP45PxqY-F0o2NyBo66xtkIt76xAc50WFm4cCvXwEWXdHKdvwSnrd5E2__ZPfByO30e3xezx7uH8XBWmPxFKloircC2YZo0S1lJK7HWnDNNSb3kLdamskJqabjRzNZIoBxgNZVUWCm0IT1wdeC-h-5ja2NS624bfK5UFaVYSCFzUQ-MDikTuhiDbdV7cG867FWF1JdHlT2qX48qe1TZo8oe8wiVPWbI5ABJQfuYrHn90_V_zCeKyoI_</recordid><startdate>20121101</startdate><enddate>20121101</enddate><creator>Liu, Zhan Fang</creator><creator>Yan, Shi Jun</creator><general>Trans Tech Publications Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BFMQW</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>FR3</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KB.</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20121101</creationdate><title>Dynamics of A Single Elastic Bodies under Large Rigid Rotation</title><author>Liu, Zhan Fang ; Yan, Shi Jun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c303t-f39e82ed6a3db919e92aa776a435b7f2ac1e89a9c7ca6e508092a654948e98ac3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Zhan Fang</creatorcontrib><creatorcontrib>Yan, Shi Jun</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Continental Europe Database</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>Materials Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Applied Mechanics and Materials</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Zhan Fang</au><au>Yan, Shi Jun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamics of A Single Elastic Bodies under Large Rigid Rotation</atitle><jtitle>Applied Mechanics and Materials</jtitle><date>2012-11-01</date><risdate>2012</risdate><volume>226-228</volume><spage>451</spage><epage>458</epage><pages>451-458</pages><issn>1660-9336</issn><issn>1662-7482</issn><eissn>1662-7482</eissn><isbn>9783037855072</isbn><isbn>303785507X</isbn><abstract>The generalized elasticity is presented where a modified constitutive relation for the couple stress is proposed. A rigid-flexible coupled model is set up where three types of additional inertia forces along with their increments are elucidated in the model. The finite element formulation is developed with the use of the constrained variational principle. As an example, a dynamic analysis on a rotating cantilever is numerically carried out. The dynamical responses of the displacement and rotational angle at the free end, the stress and couple stress at the fixed end of cantilever are presented. An idea of critical angular velocities is proposed to insure system stability. The displacement trajectory of the free end of cantilever is approached and the dynamic stiffening problem is discussed.</abstract><cop>Zurich</cop><pub>Trans Tech Publications Ltd</pub><doi>10.4028/www.scientific.net/AMM.226-228.451</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1660-9336 |
| ispartof | Applied Mechanics and Materials, 2012-11, Vol.226-228, p.451-458 |
| issn | 1660-9336 1662-7482 1662-7482 |
| language | eng |
| recordid | cdi_proquest_journals_1442898930 |
| source | Scientific.net Journals |
| title | Dynamics of A Single Elastic Bodies under Large Rigid Rotation |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T16%3A42%3A12IST&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=Dynamics%20of%20A%20Single%20Elastic%20Bodies%20under%20Large%20Rigid%20Rotation&rft.jtitle=Applied%20Mechanics%20and%20Materials&rft.au=Liu,%20Zhan%20Fang&rft.date=2012-11-01&rft.volume=226-228&rft.spage=451&rft.epage=458&rft.pages=451-458&rft.issn=1660-9336&rft.eissn=1662-7482&rft.isbn=9783037855072&rft.isbn_list=303785507X&rft_id=info:doi/10.4028/www.scientific.net/AMM.226-228.451&rft_dat=%3Cproquest_cross%3E3102618091%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=1442898930&rft_id=info:pmid/&rfr_iscdi=true |