SPATIAL STABILITY EQUATIONS FOR ANISOTROPIC THICK CYLINDRICAL SHELLS UNDER AXIAL COMPRESSION

Abstract

In this paper,a three-dimensional system of homogeneous differential equations of stability in partial derivatives of the theory of elasticity for an anisotropic thick-walled cylindrical shell is obtainedbased on the modified Hu-Washizu variational principle. The Bubnov-Gal'orkin method was used to reduce it to one-dimensional. This method approximated unknown systems of equations along the generatrix and took into account the periodicity of resolving functions in the circular direction. The discrete orthogonalization method was used to solve the one-dimensional problem in the direction of the normal to the middle surface of the shell.

The influence of the ratio of length to radius on the values ​​of critical axial stresses of an anisotropic thick-walled composite cylindrical shell is studied. Changes in the values ​​of critical stresses of axial compression depending on the change in the length of the structure and the number of its layers at different angles of rotation of the main directions of elasticity of a unidirectional fibrous material is analyzed.