Free Vibration of Multilayered Magneto-Electro-Elastic Plates with Skewed Edges Using Layer wise Shear Deformation Theory

Abstract

Present article discusses a novel method for the computation of non-dimensional eigen frequencies of a three dimensional multilayered magneto-electro-elastic plates (MEE) with skewed edges. A finite element (FE) model is formulated using a layerwise shear deformation theory (LSDT) and coupled constitutive equations. The transformation matrices are derived to transform local degrees of freedom into the global degrees of freedom for the nodes lying on the skew edges. Effect of different width to thickness ratios on the multilayered MEE plate with skewed edges is studied in detail. Particular attention has been paid to investigate the effect of various skew angles and stacking sequence on the non-dimensional eigen frequencies of multilayered MEE plate with simply supported boundary conditions. © 2018 Elsevier Ltd. All rights reserved.