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Magnetic field effects on dynamic behavior of inhomogeneous thermo-piezo-electrically actuated nanoplates

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Abstract

This article studies free vibration characteristics of size-dependent smart nanoplates made of magneto-electro-elastic functionally graded (MEE-FG) materials under different boundary conditions by implementing an analytical method for the first time. Magneto-electro-elastic properties of nanoplate vary through the thickness direction according to power–law model. The nonlocal governing equations of FG plate under magneto-electrical field are formulated through Hamilton’s principle and nonlocal elasticity theory of Eringen based on a four-variable refined plate theory which avoids the use of shear correction factors by capturing shear deformation influences. Importance of various parameters including magnetic potential, electric voltage, various boundary conditions, nonlocality, material composition and plate side-to-thickness ratio on natural frequencies of the MEE-FG nanoplate is explored. It is elucidated that these parameters play significant roles on the dynamic behavior of MEE-FG nanoplates.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

    Farzad Ebrahimi & Mohammad Reza Barati

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  1. Farzad Ebrahimi
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  2. Mohammad Reza Barati
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Correspondence to Farzad Ebrahimi.

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Technical Editor: Aline Souza de Paula.

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Ebrahimi, F., Barati, M.R. Magnetic field effects on dynamic behavior of inhomogeneous thermo-piezo-electrically actuated nanoplates. J Braz. Soc. Mech. Sci. Eng. 39, 2203–2223 (2017). https://doi.org/10.1007/s40430-016-0646-z

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  • DOI: https://doi.org/10.1007/s40430-016-0646-z

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