INFLUENCE OF LAYERING ON THE STRESS-STRAIN STATE OF ANISOTROPIC CYLINDRICAL SHELLS UNDER AXIAL PRESSURE IN A SPATIAL FORMATION

Abstract

An approach to obtaining a non-homogeneous three-dimensional system of differential equations of equilibrium in the theory of elasticity in partial derivatives for an anisotropic layered cylindrical shell is presented. The anisotropy of the material is associated with the deviation of the main directions of elasticity of the fibrous material from the axes of its own curvilinear coordinate system of the shell and thus the formation of a single plane of elastic symmetry of the mechanical characteristics parallel to the middle surface of the cylinder. To reduce the dimension of the system in the case of axisymmetric deformation under axial compression, the method of straight lines is used. The obtained one-dimensional system of high order is solved in the radial direction by the numerical method of discrete orthogonalization.

The deformation of an anisotropic layered non-thin cylindrical shell in a spatial formulation under the action of axial compression is considered. Graphical dependences of the components of the stress-strain state on the number of cross-reinforced layers of the same thickness are presented.