Free vibration of simply supported and multilayered magneto-electro-elastic plates

Based on three-dimensional elasticity theory, semi-analytical solutions for free vibration of simply supported and multilayered magneto-electro-elastic plates have been derived applying a newly developed hybrid analysis, which combines the state space approach (SSA) and the discrete singular convolution (DSC) algorithm. The thickness direction of plate is selected as the transfer direction in SSA, and the DSC is applied to discretize the in-plane domains. Hence, the original partial differential equations are translated into a state equation consisting of first-order ordinary differential equations. The application of DSC makes it possible to treat various boundary conditions, and shows excellent performance for high frequency vibration. The accuracy and convergence of SS-DSC is validate through numerical examples.