Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory
The natural frequencies of the flapwise bending vibrations of a nonuniform rotating nanocantilever has been calculated, considering the true spatial variation of the axial force due to the rotation. The area of the nanobeam cross-section is assumed to change linearly. The problem has been formulated...
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| Veröffentlicht in: | Composite structures 2012-09, Vol.94 (9), p.2990-3001 |
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| creator | Aranda-Ruiz, J. Loya, J. Fernández-Sáez, J. |
| description | The natural frequencies of the flapwise bending vibrations of a nonuniform rotating nanocantilever has been calculated, considering the true spatial variation of the axial force due to the rotation. The area of the nanobeam cross-section is assumed to change linearly. The problem has been formulated using the nonlocal Eringen elasticity theory and it was solved by a pseudo-spectral collocation method based on Chebyshev polynomials. The effect of the nonlocal small-scale, angular speed, nonuniformity of the section and hub radius on the vibration behavior of the nanocantilever is discussed. |
| doi_str_mv | 10.1016/j.compstruct.2012.03.033 |
| format | Article |
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The area of the nanobeam cross-section is assumed to change linearly. The problem has been formulated using the nonlocal Eringen elasticity theory and it was solved by a pseudo-spectral collocation method based on Chebyshev polynomials. The effect of the nonlocal small-scale, angular speed, nonuniformity of the section and hub radius on the vibration behavior of the nanocantilever is discussed.</description><identifier>ISSN: 0263-8223</identifier><identifier>EISSN: 1879-1085</identifier><identifier>DOI: 10.1016/j.compstruct.2012.03.033</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Bending vibration ; Cross sections ; Free vibrations ; Nanocomposites ; Nanomaterials ; Nanostructure ; Nonlocal elasticity ; Nonuniform ; Nonuniformity ; Rotating ; Rotation ; Small scale effects</subject><ispartof>Composite structures, 2012-09, Vol.94 (9), p.2990-3001</ispartof><rights>2012 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c434t-9be15242b41a9404afee4eb85ec94073c77e2b5337166bebf88ff77b05c940ec3</citedby><cites>FETCH-LOGICAL-c434t-9be15242b41a9404afee4eb85ec94073c77e2b5337166bebf88ff77b05c940ec3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0263822312001481$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Aranda-Ruiz, J.</creatorcontrib><creatorcontrib>Loya, J.</creatorcontrib><creatorcontrib>Fernández-Sáez, J.</creatorcontrib><title>Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory</title><title>Composite structures</title><description>The natural frequencies of the flapwise bending vibrations of a nonuniform rotating nanocantilever has been calculated, considering the true spatial variation of the axial force due to the rotation. 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The effect of the nonlocal small-scale, angular speed, nonuniformity of the section and hub radius on the vibration behavior of the nanocantilever is discussed.</description><subject>Bending vibration</subject><subject>Cross sections</subject><subject>Free vibrations</subject><subject>Nanocomposites</subject><subject>Nanomaterials</subject><subject>Nanostructure</subject><subject>Nonlocal elasticity</subject><subject>Nonuniform</subject><subject>Nonuniformity</subject><subject>Rotating</subject><subject>Rotation</subject><subject>Small scale effects</subject><issn>0263-8223</issn><issn>1879-1085</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkctKAzEUhoMoWKvvMEs3M-Y2k3RpS71AwY2uQyY90ZRpUpNMoW9vhgouhQPn9v0HDj9CFcENwaR72DUm7A8px9HkhmJCG8xKsAs0I1IsaoJle4lmmHaslpSya3ST0g5jLDkhM2SX4LfOf1ZH10edXfCpCraKIZemjH3wo3c2xH3ltQ9G--wGOEJM1ZgmIH9BtY6lAj_BQ0GGCgadsjMun6Z9iKdbdGX1kODuN8_Rx9P6ffVSb96eX1ePm9pwxnO96IG0lNOeE73gmGsLwKGXLZjSCmaEANq3jAnSdT30VkprhehxO-3BsDm6P989xPA9Qspq75KBYdAewpgUER0lVArG_0cxI4xw3nYFlWfUxJBSBKsO0e11PBVITS6onfpzQU0uKMxKsCJdnqVQvj46iCoZB97A1kUo7Da4_4_8AEKFmK8</recordid><startdate>201209</startdate><enddate>201209</enddate><creator>Aranda-Ruiz, J.</creator><creator>Loya, J.</creator><creator>Fernández-Sáez, J.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>JG9</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>201209</creationdate><title>Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory</title><author>Aranda-Ruiz, J. ; Loya, J. ; Fernández-Sáez, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c434t-9be15242b41a9404afee4eb85ec94073c77e2b5337166bebf88ff77b05c940ec3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Bending vibration</topic><topic>Cross sections</topic><topic>Free vibrations</topic><topic>Nanocomposites</topic><topic>Nanomaterials</topic><topic>Nanostructure</topic><topic>Nonlocal elasticity</topic><topic>Nonuniform</topic><topic>Nonuniformity</topic><topic>Rotating</topic><topic>Rotation</topic><topic>Small scale effects</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aranda-Ruiz, J.</creatorcontrib><creatorcontrib>Loya, J.</creatorcontrib><creatorcontrib>Fernández-Sáez, J.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Composite structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aranda-Ruiz, J.</au><au>Loya, J.</au><au>Fernández-Sáez, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory</atitle><jtitle>Composite structures</jtitle><date>2012-09</date><risdate>2012</risdate><volume>94</volume><issue>9</issue><spage>2990</spage><epage>3001</epage><pages>2990-3001</pages><issn>0263-8223</issn><eissn>1879-1085</eissn><abstract>The natural frequencies of the flapwise bending vibrations of a nonuniform rotating nanocantilever has been calculated, considering the true spatial variation of the axial force due to the rotation. The area of the nanobeam cross-section is assumed to change linearly. The problem has been formulated using the nonlocal Eringen elasticity theory and it was solved by a pseudo-spectral collocation method based on Chebyshev polynomials. The effect of the nonlocal small-scale, angular speed, nonuniformity of the section and hub radius on the vibration behavior of the nanocantilever is discussed.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruct.2012.03.033</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record> |
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| issn | 0263-8223 1879-1085 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Bending vibration Cross sections Free vibrations Nanocomposites Nanomaterials Nanostructure Nonlocal elasticity Nonuniform Nonuniformity Rotating Rotation Small scale effects |
| title | Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory |
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