Piezoelectric beams under small strains but large displacements and rotations
•This work seems to be the first to obtain analytical solutions for beams under large rotations with piezoelectric sensors.•Small strains are consistently incorporated into a model to describe piezoelectric beams under large rotations.•Piezoelectric effects associated with severe geometric nonlinear...
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| Veröffentlicht in: | Applied Mathematical Modelling 2020-11, Vol.87, p.430-445 |
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| creator | Carvalho Neto, A.L. Santos, R.R.F. Lucena Neto, E. Monteiro, F.A.C. |
| description | •This work seems to be the first to obtain analytical solutions for beams under large rotations with piezoelectric sensors.•Small strains are consistently incorporated into a model to describe piezoelectric beams under large rotations.•Piezoelectric effects associated with severe geometric nonlinearities are discussed.
Small strains are consistently incorporated into a model to describe the behavior of piezoelectric beams subjected to large displacements and rotations. While the displacement is assumed to vary in accordance with the Timoshenko assumption, the electric potential has linear variation through each piezoelectric layer thickness. The strong geometric nonlinear effect on the beam electroelastic response is illustrated by static problems of cantilever beams with tip loads and distributed sensing or actuation. The present work seems to be the first to obtain analytical solutions for beams under large displacements and rotations with piezoelectric sensors. One believes that the quality of such solutions can be valuable to validate results predicted by approximate methods. |
| doi_str_mv | 10.1016/j.apm.2020.05.029 |
| format | Article |
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Small strains are consistently incorporated into a model to describe the behavior of piezoelectric beams subjected to large displacements and rotations. While the displacement is assumed to vary in accordance with the Timoshenko assumption, the electric potential has linear variation through each piezoelectric layer thickness. The strong geometric nonlinear effect on the beam electroelastic response is illustrated by static problems of cantilever beams with tip loads and distributed sensing or actuation. The present work seems to be the first to obtain analytical solutions for beams under large displacements and rotations with piezoelectric sensors. One believes that the quality of such solutions can be valuable to validate results predicted by approximate methods.</description><identifier>ISSN: 0307-904X</identifier><identifier>ISSN: 1088-8691</identifier><identifier>EISSN: 0307-904X</identifier><identifier>DOI: 10.1016/j.apm.2020.05.029</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>Actuation ; Analytical solution ; Approximation ; Cantilever beams ; Displacement ; Exact solutions ; Large displacement ; Large rotation ; Piezoelectric ; Stress concentration ; Thickness</subject><ispartof>Applied Mathematical Modelling, 2020-11, Vol.87, p.430-445</ispartof><rights>2020 Elsevier Inc.</rights><rights>Copyright Elsevier BV Nov 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c325t-2cb2bae6b1339491eda2c10a1a8acc4bff9def1b35b76dbc2ba40038cb6555673</citedby><cites>FETCH-LOGICAL-c325t-2cb2bae6b1339491eda2c10a1a8acc4bff9def1b35b76dbc2ba40038cb6555673</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0307904X20302687$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,65309</link.rule.ids></links><search><creatorcontrib>Carvalho Neto, A.L.</creatorcontrib><creatorcontrib>Santos, R.R.F.</creatorcontrib><creatorcontrib>Lucena Neto, E.</creatorcontrib><creatorcontrib>Monteiro, F.A.C.</creatorcontrib><title>Piezoelectric beams under small strains but large displacements and rotations</title><title>Applied Mathematical Modelling</title><description>•This work seems to be the first to obtain analytical solutions for beams under large rotations with piezoelectric sensors.•Small strains are consistently incorporated into a model to describe piezoelectric beams under large rotations.•Piezoelectric effects associated with severe geometric nonlinearities are discussed.
Small strains are consistently incorporated into a model to describe the behavior of piezoelectric beams subjected to large displacements and rotations. While the displacement is assumed to vary in accordance with the Timoshenko assumption, the electric potential has linear variation through each piezoelectric layer thickness. The strong geometric nonlinear effect on the beam electroelastic response is illustrated by static problems of cantilever beams with tip loads and distributed sensing or actuation. The present work seems to be the first to obtain analytical solutions for beams under large displacements and rotations with piezoelectric sensors. One believes that the quality of such solutions can be valuable to validate results predicted by approximate methods.</description><subject>Actuation</subject><subject>Analytical solution</subject><subject>Approximation</subject><subject>Cantilever beams</subject><subject>Displacement</subject><subject>Exact solutions</subject><subject>Large displacement</subject><subject>Large rotation</subject><subject>Piezoelectric</subject><subject>Stress concentration</subject><subject>Thickness</subject><issn>0307-904X</issn><issn>1088-8691</issn><issn>0307-904X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMouK7-AG8Bz62TpGm3eJLFL1jRg4K3kKRTydIvk1TQX2-W9eDJ08zA-8wMDyHnDHIGrLzc5nrqcw4ccpA58PqALEBAldVQvB3-6Y_JSQhbAJBpWpDHZ4ffI3Zoo3eWGtR9oPPQoKeh111HQ_TaDYGaOdJO-3ekjQtTpy32OMRA9dBQP0Yd3TiEU3LU6i7g2W9dktfbm5f1fbZ5untYX28yK7iMGbeGG42lYULURc2w0dwy0EyvtLWFadu6wZYZIU1VNsamcAEgVtaUUsqyEktysd87-fFjxhDVdpz9kE4qXhSVAM5WIqXYPmX9GILHVk3e9dp_KQZqZ01tVbKmdtYUSJWsJeZqz2B6_9OhV8E6HCw2zidHqhndP_QPYz52mA</recordid><startdate>202011</startdate><enddate>202011</enddate><creator>Carvalho Neto, A.L.</creator><creator>Santos, R.R.F.</creator><creator>Lucena Neto, E.</creator><creator>Monteiro, F.A.C.</creator><general>Elsevier Inc</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>202011</creationdate><title>Piezoelectric beams under small strains but large displacements and rotations</title><author>Carvalho Neto, A.L. ; Santos, R.R.F. ; Lucena Neto, E. ; Monteiro, F.A.C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c325t-2cb2bae6b1339491eda2c10a1a8acc4bff9def1b35b76dbc2ba40038cb6555673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Actuation</topic><topic>Analytical solution</topic><topic>Approximation</topic><topic>Cantilever beams</topic><topic>Displacement</topic><topic>Exact solutions</topic><topic>Large displacement</topic><topic>Large rotation</topic><topic>Piezoelectric</topic><topic>Stress concentration</topic><topic>Thickness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Carvalho Neto, A.L.</creatorcontrib><creatorcontrib>Santos, R.R.F.</creatorcontrib><creatorcontrib>Lucena Neto, E.</creatorcontrib><creatorcontrib>Monteiro, F.A.C.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Applied Mathematical Modelling</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Carvalho Neto, A.L.</au><au>Santos, R.R.F.</au><au>Lucena Neto, E.</au><au>Monteiro, F.A.C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Piezoelectric beams under small strains but large displacements and rotations</atitle><jtitle>Applied Mathematical Modelling</jtitle><date>2020-11</date><risdate>2020</risdate><volume>87</volume><spage>430</spage><epage>445</epage><pages>430-445</pages><issn>0307-904X</issn><issn>1088-8691</issn><eissn>0307-904X</eissn><abstract>•This work seems to be the first to obtain analytical solutions for beams under large rotations with piezoelectric sensors.•Small strains are consistently incorporated into a model to describe piezoelectric beams under large rotations.•Piezoelectric effects associated with severe geometric nonlinearities are discussed.
Small strains are consistently incorporated into a model to describe the behavior of piezoelectric beams subjected to large displacements and rotations. While the displacement is assumed to vary in accordance with the Timoshenko assumption, the electric potential has linear variation through each piezoelectric layer thickness. The strong geometric nonlinear effect on the beam electroelastic response is illustrated by static problems of cantilever beams with tip loads and distributed sensing or actuation. The present work seems to be the first to obtain analytical solutions for beams under large displacements and rotations with piezoelectric sensors. One believes that the quality of such solutions can be valuable to validate results predicted by approximate methods.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.apm.2020.05.029</doi><tpages>16</tpages></addata></record> |
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| ispartof | Applied Mathematical Modelling, 2020-11, Vol.87, p.430-445 |
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| source | Elsevier ScienceDirect Journals; Business Source Complete; Education Source (EBSCOhost); EZB-FREE-00999 freely available EZB journals |
| subjects | Actuation Analytical solution Approximation Cantilever beams Displacement Exact solutions Large displacement Large rotation Piezoelectric Stress concentration Thickness |
| title | Piezoelectric beams under small strains but large displacements and rotations |
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