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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