Dynamic Modeling of Magneto-electrically Actuated Compositionally Graded Nanosize Plates Lying on Elastic Foundation.

The vibration problem of a nonlocal magneto-electro-elastic functionally graded (MEE-FG) nanoplate lying on two-parameter elastic foundation under different boundary conditions is examined through a trigonometric plate formulation. Based on power-law model, graded material properties of the nanoplate are described. Employing Hamilton's principle, the formulation of shear deformable MEE-FG nanoplates lying on elastic substrate is presented. Admissible functions are provided to satisfy various boundary conditions and analytically solving the governing equations. Effects of elastic substrate, axial magneto-electrical load, various edge conditions, nonlocality parameter and material gradation on vibration frequencies of a MEE-FG nanoscale plate are studied. It is observed that vibration response of MEE-FG nanoplates is prominently influenced by these parameters. [ABSTRACT FROM AUTHOR]