Vibration of electro-elastic versus magneto-elastic circular/annular plates using the Chebyshev–Ritz method

The aim of this paper is to analyze three-dimensional free vibration of magneto-elastic/electro-elastic circular/annular plates with different boundary conditions using the Chebyshev–Ritz method, in which a set of duplicate Chebyshev polynomial series multiplied by the boundary function satisfying the boundary conditions are chosen as the trial functions of the displacement components, the electric potential and the magnetic potential. Convergence of the method is checked using various Chebyshev polynomial terms. The effect of geometrical parameters and material properties of magneto-elastic/electro-elastic circular/annular plates on the eigenfrequencies of free vibration is considered.