Assessment of Vibrational Frequencies and Static Characteristics of Multilayered Skew Magneto-Electro-Elastic Plates: A Finite Element Study

Abstract

This article presents a finite element (FE) model for free vibration and static analysis of layered skew magneto-electro-elastic (SMEE) plates by incorporating the shear deformation theory. The coupled constitutive equations of the MEE materials are used to derive the FE model accounting the effect of electro-elastic and magneto-elastic couplings. The displacement, electric potential and magnetic potential are considered as primary variables, while the stresses, electric displacement and magnetic induction are derived from the primary variables using constitutive equations. Influence of boundary conditions and material stacking sequences on the natural frequency, displacement and stresses of the SMEE plates has been investigated. Particular emphasis has been put on studying the effect of skew angles and aspect ratios on the natural frequencies, stresses, electric displacement and magnetic induction. The present study reveals that skew angle and aspect ratio significantly influence the structural behavior of SMEE plates. © 2018, Shiraz University.