Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory
Abstract Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetost...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300554&lng=en&tlng=en |
| _version_ | 1818199206372835328 |
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| author | Alireza Shooshtari Soheil Razavi |
| author_facet | Alireza Shooshtari Soheil Razavi |
| author_sort | Alireza Shooshtari |
| collection | DOAJ |
| description | Abstract Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate. |
| first_indexed | 2024-12-12T02:18:05Z |
| format | Article |
| id | doaj.art-8d21073865b04fa7ab6095e5add28265 |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-12T02:18:05Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-8d21073865b04fa7ab6095e5add282652022-12-22T00:41:44ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782513355457210.1590/1679-78251831S1679-78252016000300554Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation TheoryAlireza ShooshtariSoheil RazaviAbstract Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300554&lng=en&tlng=enFree vibrationmagnetoelectroelastic smart plateelastic foundationReddy's third order shear deformation theory |
| spellingShingle | Alireza Shooshtari Soheil Razavi Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory Latin American Journal of Solids and Structures Free vibration magnetoelectroelastic smart plate elastic foundation Reddy's third order shear deformation theory |
| title | Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory |
| title_full | Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory |
| title_fullStr | Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory |
| title_full_unstemmed | Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory |
| title_short | Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory |
| title_sort | vibration analysis of a magnetoelectroelastic rectangular plate based on a higher order shear deformation theory |
| topic | Free vibration magnetoelectroelastic smart plate elastic foundation Reddy's third order shear deformation theory |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300554&lng=en&tlng=en |
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