Abstract
In this article, the vibrational behaviour of porous functionally graded magneto-electro-elastic (P-FGMEE) circular and annular plates is explored through finite element procedures. The influence of different electro-magnetic boundary conditions on the coupled natural frequencies of P-FGMEE plates are evaluated for the first time. The governing equations are arrived through Hamilton’s principle under the framework of higher order shear deformation theory (HSDT) in polar coordinates. The magneto-electro-elastic (MEE) material properties are assumed to vary along the thickness based on power-law model. The proposed model is verified for its correctness with previously published literature and also with numerical software. In addition, the effects of various prominent parameters such as gradient index, porosity volume, functionally graded pattern, diameter ratio, coupling fields etc., on the frequency response of P-FGMEE circular and annular pates are also discussed. The results of this article can be effectively incorporated for the accurate design and development of functionally graded smart structures with porosities.
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