Free vibration of transversely isotropic magneto-electro-elastic plates in contact with fluid

In this study, one investigates the free vibration behaviors of transversely isotropic Magneto-electro-elastic (MEE) rectangular plates in contact with fluid. In particular, one derives the mathematical formulation on the determination of added virtual mass for MEE rectangular plates with uniform thickness, which is in contact with fluid. A fluid-structure interaction model is constructed and analyzed on the basis of the recently derived differential equation governing the dynamical responses of the MEE rectangular plates. The added virtual mass incremental (AVMI) factor of the system is computed by adopting the proposed method and the added virtual mass can then be estimated. The natural frequencies based on the proposed approach play an important role in the vibration analysis and design of the fluidcontacting MEE plate.