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- Title
Dynamic Modeling of Magneto-electrically Actuated Compositionally Graded Nanosize Plates Lying on Elastic Foundation.
- Authors
Ebrahimi, Farzad; Barati, Mohammad Reza
- Abstract
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.
- Subjects
MAGNETOELECTRONICS; VIBRATIONAL spectra; NANOSTRUCTURES
- Publication
Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ), 2017, Vol 42, Issue 5, p1977
- ISSN
2193-567X
- Publication type
Article
- DOI
10.1007/s13369-017-2413-6