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Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations
AbstractThis paper proposes a four-variable shear deformation refined plate theory for free vibration analysis of embedded smart plates made of porous magneto-electro-elastic functionally graded (MEE-FG) materials. Magneto-electro-elastic properties of FG plate are supposed to vary through the thickness direction and are estimated through the modified power-law rule in which the porosities with even and uneven type are approximated. The governing differential equations and boundary conditions of embedded porous FG plate under magneto-electrical field are derived through Hamilton's principle based on a four-variable tangential-exponential refined theory which avoids the use of shear correction factors. An analytical solution procedure is used to achieve the natural frequencies of embedded porous FG plate supposed to magneto-electrical field with various boundary condition. Influences of several important parameters such as material graduation exponent, porosity volume fraction, magnetic potential, electric voltage, various boundary conditions, elastic foundation parameters and plate side-to-thickness ratio on natural frequencies of embedded porous MEE-FG plate are investigated and discussed in detail. It is concluded that these parameters play significant roles on the dynamic behavior of porous MEE-FG plates resting on elastic foundation. Presented numerical results can serve as benchmarks for future analyses of MEE-FG plates with porosity phases.
HighlightsWe investigate vibration of magneto-electro-porous FG plates based on a four-variable refined plate theory.There is no need for any shear correction factor in this plate theory.Exact position of neutral axis is taken into account.Two kinds of porosity distribution through the thickness directions are considered.The modified power-law model describes the gradual variation of material properties of the porous MEE-FG plate.
Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations
AbstractThis paper proposes a four-variable shear deformation refined plate theory for free vibration analysis of embedded smart plates made of porous magneto-electro-elastic functionally graded (MEE-FG) materials. Magneto-electro-elastic properties of FG plate are supposed to vary through the thickness direction and are estimated through the modified power-law rule in which the porosities with even and uneven type are approximated. The governing differential equations and boundary conditions of embedded porous FG plate under magneto-electrical field are derived through Hamilton's principle based on a four-variable tangential-exponential refined theory which avoids the use of shear correction factors. An analytical solution procedure is used to achieve the natural frequencies of embedded porous FG plate supposed to magneto-electrical field with various boundary condition. Influences of several important parameters such as material graduation exponent, porosity volume fraction, magnetic potential, electric voltage, various boundary conditions, elastic foundation parameters and plate side-to-thickness ratio on natural frequencies of embedded porous MEE-FG plate are investigated and discussed in detail. It is concluded that these parameters play significant roles on the dynamic behavior of porous MEE-FG plates resting on elastic foundation. Presented numerical results can serve as benchmarks for future analyses of MEE-FG plates with porosity phases.
HighlightsWe investigate vibration of magneto-electro-porous FG plates based on a four-variable refined plate theory.There is no need for any shear correction factor in this plate theory.Exact position of neutral axis is taken into account.Two kinds of porosity distribution through the thickness directions are considered.The modified power-law model describes the gradual variation of material properties of the porous MEE-FG plate.
Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations
Ebrahimi, Farzad (author) / Jafari, Ali (author) / Barati, Mohammad Reza (author)
Thin-Walled Structures ; 119 ; 33-46
2017-04-03
14 pages
Article (Journal)
Electronic Resource
English
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