Buckling and free vibration analysis of skew sandwich plates with viscoelastic core and functionally graded material constraining layer

Abstract

The present study is concerned with the free vibration and buckling analysis of a skew sandwich plate with a viscoelastic material core fixed between a functionally graded material constraining layer and a base layer of elastic material. The sandwich plate theory is followed to obtain the governing equations of motion in which the displacement fields of the viscoelastic core are assumed to have a linear variation between those of the two face layers. Finite element method based on first-order shear deformation theory is used to develop the governing equations of motion of the plate. The effects of different parameters such as skew angle, aspect ratio, thickness ratio, and volume fraction index on static and dynamic characteristics of the plate are examined. The increase in the skew angle has increasing effect on both natural the frequencies and critical buckling loads, whereas the fundamental loss factor decreases. The volume fraction index and various boundary conditions also have significant effects on the static and dynamic behavior of the plate.