Vibrations of the Three-Layered Cylindrical Shells in the Elastic Winkler’s Medium at Resonance

Abstract

The vibrations of the three-layered cylindrical shell in elastic medium under resonance load are considered. Kirchhoff-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. Reaction of the elastic medium is described in terms of the Winkler model. The investigation of variations in displacements under action of resonance uniformly distributed load is given as an example.

Keywords

• three-layer cylindrical shell
• dynamics
• elastic winkler’s medium
• resonance