Natural Vibrations of the Three-Layered Cylindrical Shells in the Elastic Pasternak’s Medium

Abstract

The natural vibrations of the three-layered cylindrical shell are considered. Love’s hypotheses are accepted for the thin isotropic bearing layers. The work of the in-plane shear, compression over thickness and variations in displacements are taken linear along the transverse coordinate for the thick filler the conditions of displacement continuity are not used on the contact boundaries. The deformations are small. Inertial medium is described by a Pasternak’s model. The natural frequencies of the "shell - medium" are investigated as dependent on characteristics of the medium.

Keywords

• three-layer shell
• natural frequencies
• elastic pasternak’s medium