A Moving Kriging Meshfree Method for The Vibration Analysis of Homogenous Magneto-electro-elastic Plates

Abstract

The free vibration analysis of the homogenous magneto-electro-elastic (MEE) plate based on a refined first-order shear deformation theory and moving Kriging meshfree method is presented in this paper. The refined first-order shear deformation theory (RFSDT) only includes four variables and reduces one variable when comparing to original first-order shear deformation theory. The MEE materials which are coupled between piezoelectric and piezomagnetic effects, are combined of BaTiO3 and CoFe2O4 materials. The magnetic and electric potentials satisfying to the Maxwell equations are assumed to be a combination of cosine and linear variations along the plate thickness. The coupled governing equations of motion of the MEE plates are obtained by using the principle of extended virtual displacement. These equations are solved to achieve the natural frequency of MEE plates by utilizing the moving Kriging meshfree method. Several numerical examples are examined to evaluate the influence of the geometrical parameter on the natural frequency of the MEE plates.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.