Linear Modeling of Sandwich Plates

Abstract

The sandwich plate that was analyzed in Chapter 2 on the basis of linear elasticity theory is treated again in this chapter, now on the basis of equations of sandwich plates to be derived. We recall that the sandwich plate consists of three homogeneous, elastic, and isotropic layers that are symmetrically constructed with respect to the middle plane of the sandwich. The two face layers are thus identical, although the core of the sandwich is made of a different material and can have a different thickness. Other than being symmetrically constructed, the sandwich is therefore an arbitrary three-layered plate, including as an important special case the ordinary sandwich plate that has relatively thin but rigid and heavy face layers. Being symmetric, flexural and extensional linear vibrations of the sandwich plate are uncoupled from each other.