Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations
. In this article, the influences of critical speed on the free vibration behavior of spinning 3D single-walled carbon nanotubes (SWCNT) are investigated using modified couple stress theory (MCST). Moreover, the surrounding elastic medium of SWCNT has been considered as a model of Winkler, character...
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| Veröffentlicht in: | European physical journal plus 2017-01, Vol.132 (1), p.6, Article 6 |
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| creator | Barooti, Mohammad Mostafa Safarpour, Hamed Ghadiri, Majid |
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In this article, the influences of critical speed on the free vibration behavior of spinning 3D single-walled carbon nanotubes (SWCNT) are investigated using modified couple stress theory (MCST). Moreover, the surrounding elastic medium of SWCNT has been considered as a model of Winkler, characterized by the spring. Taking into consideration the first-order shear deformation theory (FSDT), the rotating SWCNT is modeled and its equations of motion are derived using the Hamilton principle. The formulations include Coriolis, centrifugal and initial hoop tension effects due to rotation of the SWCNT. The accuracy of the presented model is validated by some cases in the literature. The novelty of this study is considering the effects of rotation and MCST, in addition to considering the various boundary conditions of SWCNT. The generalized differential quadrature method (GDQM) is used to discretize the model and to approximate the equation of motion. Then investigation has been made on critical speed and natural frequency of the rotating SWCNT due to the influence of initial hoop tension, material length scale parameter, constant of spring, frequency mode number, angular velocity, length-to-radius ratio, radius-to-thickness ratio and boundary conditions. |
| doi_str_mv | 10.1140/epjp/i2017-11275-5 |
| format | Article |
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In this article, the influences of critical speed on the free vibration behavior of spinning 3D single-walled carbon nanotubes (SWCNT) are investigated using modified couple stress theory (MCST). Moreover, the surrounding elastic medium of SWCNT has been considered as a model of Winkler, characterized by the spring. Taking into consideration the first-order shear deformation theory (FSDT), the rotating SWCNT is modeled and its equations of motion are derived using the Hamilton principle. The formulations include Coriolis, centrifugal and initial hoop tension effects due to rotation of the SWCNT. The accuracy of the presented model is validated by some cases in the literature. The novelty of this study is considering the effects of rotation and MCST, in addition to considering the various boundary conditions of SWCNT. The generalized differential quadrature method (GDQM) is used to discretize the model and to approximate the equation of motion. Then investigation has been made on critical speed and natural frequency of the rotating SWCNT due to the influence of initial hoop tension, material length scale parameter, constant of spring, frequency mode number, angular velocity, length-to-radius ratio, radius-to-thickness ratio and boundary conditions.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/i2017-11275-5</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Angular velocity ; Applied and Technical Physics ; Atomic ; Boundary conditions ; Complex Systems ; Condensed Matter Physics ; Elastic media ; Equations of motion ; Free vibration ; Generalized differential quadrature method ; Hamilton's principle ; Hoops ; Mathematical and Computational Physics ; Molecular ; Nanotechnology ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Quadratures ; Regular Article ; Resonant frequencies ; Rotation ; Shear deformation ; Single wall carbon nanotubes ; Theoretical ; Thickness ratio ; Vibration analysis</subject><ispartof>European physical journal plus, 2017-01, Vol.132 (1), p.6, Article 6</ispartof><rights>Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017</rights><rights>Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-c30920fdba8ff9a087c83a327bde55376d7be5f4b330b78d657b13fa8e6368383</citedby><cites>FETCH-LOGICAL-c319t-c30920fdba8ff9a087c83a327bde55376d7be5f4b330b78d657b13fa8e6368383</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/i2017-11275-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919610112?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,776,780,21367,27901,27902,33721,41464,42533,43781,51294</link.rule.ids></links><search><creatorcontrib>Barooti, Mohammad Mostafa</creatorcontrib><creatorcontrib>Safarpour, Hamed</creatorcontrib><creatorcontrib>Ghadiri, Majid</creatorcontrib><title>Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>.
In this article, the influences of critical speed on the free vibration behavior of spinning 3D single-walled carbon nanotubes (SWCNT) are investigated using modified couple stress theory (MCST). Moreover, the surrounding elastic medium of SWCNT has been considered as a model of Winkler, characterized by the spring. Taking into consideration the first-order shear deformation theory (FSDT), the rotating SWCNT is modeled and its equations of motion are derived using the Hamilton principle. The formulations include Coriolis, centrifugal and initial hoop tension effects due to rotation of the SWCNT. The accuracy of the presented model is validated by some cases in the literature. The novelty of this study is considering the effects of rotation and MCST, in addition to considering the various boundary conditions of SWCNT. The generalized differential quadrature method (GDQM) is used to discretize the model and to approximate the equation of motion. Then investigation has been made on critical speed and natural frequency of the rotating SWCNT due to the influence of initial hoop tension, material length scale parameter, constant of spring, frequency mode number, angular velocity, length-to-radius ratio, radius-to-thickness ratio and boundary conditions.</description><subject>Angular velocity</subject><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Boundary conditions</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Elastic media</subject><subject>Equations of motion</subject><subject>Free vibration</subject><subject>Generalized differential quadrature method</subject><subject>Hamilton's principle</subject><subject>Hoops</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Nanotechnology</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quadratures</subject><subject>Regular Article</subject><subject>Resonant frequencies</subject><subject>Rotation</subject><subject>Shear deformation</subject><subject>Single wall carbon nanotubes</subject><subject>Theoretical</subject><subject>Thickness ratio</subject><subject>Vibration analysis</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kE9LAzEQxYMoWGq_gKeA57XJJtlsjlL_QsGLnkOyOykpa3ZNdi399qatoCfnMDMMv_dIHkLXlNxSyskShu2w9CWhsqC0lKIQZ2hWUkUKwTk__7NfokVKW5KLK8oVn6HdKvrRN6bDaQBosQktdhEAf3kbzej7kE-m2yefcO8y5EPwYYPZPU55dlDsTNdlYWOizXAwoR8nCwlHSOOBzEfoTN4b7PoptEfTdIUunOkSLH7mHL0_Prytnov169PL6m5dNIyqMXeiSuJaa2rnlCG1bGpmWCltC0IwWbXSgnDcMkasrNtKSEuZMzVUrKpZzebo5uQ7xP5zyk_S236K-UdJl4qqipIcWabKE9XEPqUITg_Rf5i415ToQ8b6kLE-ZqyPGWuRRewkShkOG4i_1v-ovgHNSoLi</recordid><startdate>20170101</startdate><enddate>20170101</enddate><creator>Barooti, Mohammad Mostafa</creator><creator>Safarpour, Hamed</creator><creator>Ghadiri, Majid</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope></search><sort><creationdate>20170101</creationdate><title>Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations</title><author>Barooti, Mohammad Mostafa ; Safarpour, Hamed ; Ghadiri, Majid</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-c30920fdba8ff9a087c83a327bde55376d7be5f4b330b78d657b13fa8e6368383</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Angular velocity</topic><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Boundary conditions</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Elastic media</topic><topic>Equations of motion</topic><topic>Free vibration</topic><topic>Generalized differential quadrature method</topic><topic>Hamilton's principle</topic><topic>Hoops</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Nanotechnology</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quadratures</topic><topic>Regular Article</topic><topic>Resonant frequencies</topic><topic>Rotation</topic><topic>Shear deformation</topic><topic>Single wall carbon nanotubes</topic><topic>Theoretical</topic><topic>Thickness ratio</topic><topic>Vibration analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Barooti, Mohammad Mostafa</creatorcontrib><creatorcontrib>Safarpour, Hamed</creatorcontrib><creatorcontrib>Ghadiri, Majid</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Barooti, Mohammad Mostafa</au><au>Safarpour, Hamed</au><au>Ghadiri, Majid</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2017-01-01</date><risdate>2017</risdate><volume>132</volume><issue>1</issue><spage>6</spage><pages>6-</pages><artnum>6</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>.
In this article, the influences of critical speed on the free vibration behavior of spinning 3D single-walled carbon nanotubes (SWCNT) are investigated using modified couple stress theory (MCST). Moreover, the surrounding elastic medium of SWCNT has been considered as a model of Winkler, characterized by the spring. Taking into consideration the first-order shear deformation theory (FSDT), the rotating SWCNT is modeled and its equations of motion are derived using the Hamilton principle. The formulations include Coriolis, centrifugal and initial hoop tension effects due to rotation of the SWCNT. The accuracy of the presented model is validated by some cases in the literature. The novelty of this study is considering the effects of rotation and MCST, in addition to considering the various boundary conditions of SWCNT. The generalized differential quadrature method (GDQM) is used to discretize the model and to approximate the equation of motion. Then investigation has been made on critical speed and natural frequency of the rotating SWCNT due to the influence of initial hoop tension, material length scale parameter, constant of spring, frequency mode number, angular velocity, length-to-radius ratio, radius-to-thickness ratio and boundary conditions.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/i2017-11275-5</doi></addata></record> |
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| subjects | Angular velocity Applied and Technical Physics Atomic Boundary conditions Complex Systems Condensed Matter Physics Elastic media Equations of motion Free vibration Generalized differential quadrature method Hamilton's principle Hoops Mathematical and Computational Physics Molecular Nanotechnology Optical and Plasma Physics Physics Physics and Astronomy Quadratures Regular Article Resonant frequencies Rotation Shear deformation Single wall carbon nanotubes Theoretical Thickness ratio Vibration analysis |
| title | Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations |
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