Vibrations of Cylindrical Sandwich Shells with Elastic Core Under Local Loads

Abstract

The vibrations of a cylindrical sandwich shell with elastic core under local loads are studied. The Kirchhoff–Love hypotheses are applied to the isotropic base layers. For the thick core, the work of transverse shear and thickness reduction are taken into account, and the displacements are assumed to vary linearly with the transverse coordinate. The displacements are considered continuous at the interfaces. The Winkler hypothesis is applied to the elastic core. The analytical solutions to the problems of natural and forced vibrations are found. The variation in displacements in the shell under forces per unit length is studied