USE OF 3D PROCEDURE FOR CALCULATION OF STRESSED STATE OF LAYERED ANISOTROPIC CYLINDER SHELLS UNDER ACTION OF LATERAL PRESSURE

Abstract

Proposed approach allows to solve the problem of stressed state of laminar thick-walled cylindrical anisotropic shells under action of external or internal lateral pressure. Material of structures has one plane of elastic symmetry, which is caused by rotation of main directions of elasticity of initial orthotropic material relative to generatrix of shells. To solve the problem, a system of differential equations is used, describing the stressed state, which is based on three-dimensional relations of elasticity theory. The solution of this system relies on the use of the Bubnov-Galerkin procedure and the numerical method of discrete orthogonal.

The issue of stressed state of three-layer thick-walled cylinder made of material, characteristics of which are described by one planes of elastic symmetry, is solved. Using the three-dimensional approach, studies were carried out to change the parameters of the stressed state in the thickness of the shell depending on the angle of rotation of the main directions of elasticity of the bearing layers. The results of calculations are presented in the form of graphs, as well as their analysis.