Length scale-dependent natural frequencies of piezoelectric microplates
The length-scale free vibration analysis of a rectangular microplate coupled with piezoelectric layers is presented. The modified couple stress theory is used to describe the size effect of the system. The governing equations of motion are obtained using Hamilton’s principle based on the classical p...
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| Veröffentlicht in: | Journal of vibration and control 2018-07, Vol.24 (13), p.2749-2759 |
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| creator | Jafari, M Jomehzadeh, E Rezaeizadeh, M |
| description | The length-scale free vibration analysis of a rectangular microplate coupled with piezoelectric layers is presented. The modified couple stress theory is used to describe the size effect of the system. The governing equations of motion are obtained using Hamilton’s principle based on the classical plate theory. The transverse part of the electric potential for the piezoelectric layers is considered to satisfy the Maxwell’s equation and the electrical boundary conditions. A new procedure is introduced to decouple the governing equations and then an analytical Levy-type solution is obtained. The exact natural frequencies are established for a wide range of length scales, various plate dimensions, several piezoelectric layer thicknesses, and different boundary conditions. The results show that the effect of length scale parameter is decreased by the piezoelectric electrical field. |
| doi_str_mv | 10.1177/1077546317693915 |
| format | Article |
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The modified couple stress theory is used to describe the size effect of the system. The governing equations of motion are obtained using Hamilton’s principle based on the classical plate theory. The transverse part of the electric potential for the piezoelectric layers is considered to satisfy the Maxwell’s equation and the electrical boundary conditions. A new procedure is introduced to decouple the governing equations and then an analytical Levy-type solution is obtained. The exact natural frequencies are established for a wide range of length scales, various plate dimensions, several piezoelectric layer thicknesses, and different boundary conditions. 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The results show that the effect of length scale parameter is decreased by the piezoelectric electrical field.</description><subject>Boundary conditions</subject><subject>Boundary layer</subject><subject>Electric potential</subject><subject>Equations of motion</subject><subject>Free vibration</subject><subject>Laboratory equipment</subject><subject>Mathematical analysis</subject><subject>Piezoelectricity</subject><subject>Plate theory</subject><subject>Resonant frequencies</subject><subject>Size effects</subject><subject>Vibration</subject><subject>Vibration analysis</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1UE1LxDAUDKLgunr3WPAczUvSpjnKoquw4EXPJU1e1i7dtibZg_56s1QQBE9vYD7eMIRcA7sFUOoOmFKlrASoSgsN5QlZgJJAua6r04wzTY_8ObmIcccYkxLYgqw3OGzTexGt6ZE6nHBwOKRiMOkQTF_4gB8HHGyHsRh9MXX4NWKPNoXOFvvOhnHqTcJ4Sc686SNe_dwleXt8eF090c3L-nl1v6FWMJ0oIohSCOUZOtNqaYQ3SjvHHSpvQEv0ztWqbTnzhovWeemdNbwCJqwVXizJzZw7hTEXi6nZjYcw5JcNZ2XNdVUqlVVsVuV-MQb0zRS6vQmfDbDmOFfzd65sobMlmi3-hv6r_wYjWWvn</recordid><startdate>201807</startdate><enddate>201807</enddate><creator>Jafari, M</creator><creator>Jomehzadeh, E</creator><creator>Rezaeizadeh, M</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201807</creationdate><title>Length scale-dependent natural frequencies of piezoelectric microplates</title><author>Jafari, M ; Jomehzadeh, E ; Rezaeizadeh, M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-ee135337f0edab94a3fa79dd2de7fa194efdd87bb20fa23bdf4fdca26103cc3f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Boundary conditions</topic><topic>Boundary layer</topic><topic>Electric potential</topic><topic>Equations of motion</topic><topic>Free vibration</topic><topic>Laboratory equipment</topic><topic>Mathematical analysis</topic><topic>Piezoelectricity</topic><topic>Plate theory</topic><topic>Resonant frequencies</topic><topic>Size effects</topic><topic>Vibration</topic><topic>Vibration analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jafari, M</creatorcontrib><creatorcontrib>Jomehzadeh, E</creatorcontrib><creatorcontrib>Rezaeizadeh, M</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</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>Journal of vibration and control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jafari, M</au><au>Jomehzadeh, E</au><au>Rezaeizadeh, M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Length scale-dependent natural frequencies of piezoelectric microplates</atitle><jtitle>Journal of vibration and control</jtitle><date>2018-07</date><risdate>2018</risdate><volume>24</volume><issue>13</issue><spage>2749</spage><epage>2759</epage><pages>2749-2759</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>The length-scale free vibration analysis of a rectangular microplate coupled with piezoelectric layers is presented. The modified couple stress theory is used to describe the size effect of the system. The governing equations of motion are obtained using Hamilton’s principle based on the classical plate theory. The transverse part of the electric potential for the piezoelectric layers is considered to satisfy the Maxwell’s equation and the electrical boundary conditions. A new procedure is introduced to decouple the governing equations and then an analytical Levy-type solution is obtained. The exact natural frequencies are established for a wide range of length scales, various plate dimensions, several piezoelectric layer thicknesses, and different boundary conditions. The results show that the effect of length scale parameter is decreased by the piezoelectric electrical field.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/1077546317693915</doi><tpages>11</tpages></addata></record> |
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| subjects | Boundary conditions Boundary layer Electric potential Equations of motion Free vibration Laboratory equipment Mathematical analysis Piezoelectricity Plate theory Resonant frequencies Size effects Vibration Vibration analysis |
| title | Length scale-dependent natural frequencies of piezoelectric microplates |
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