Vibration Analysis of Power Law Functionally Graded Magneto-Electro-Elastic Plate

Abstract

Functionally-graded materials (FGMs) have great potential in many industry areas for the development of novel acoustic devices such as sensors, electromechanical transducers, actuators and filters. The study of the propagation of elastic waves is a primordial step for a number of such applications. In this study, the stiffness matrix method and the Stroh formalism with the formulation of Ingebrigsten and Tonning were used to establish the relationship between the stress and displacement from the top to the bottom of the fictive multilayer. A power-law inhomogeneity distribution is introduced in the mechanical tensor of the magneto-electro-elastic (MEE) composite. The obtained results indicate that the introduction of heterogeneity has a great influence on nondimensional frequency and modal shape. It is also found that the frequency vibration decreases with the increase in gradient coefficient [Formula: see text]. Furthermore, the metallization of the free surface (vanishing of electrical and magnetic potential) highly decreases the stress, especially in the median of the plate.