TOWARDS THE ESTABLISHMENT OF RELIABLE VALUES OF CRITICAL LOADS OF REINFORCED CONCRETE CYLINDRICAL SHELLS REINFORCED WITH COMPOSITE

Abstract

In the work, after modification by the authors of the variational principle of Hu – Wasidzu, an approach to constructing a system of homogeneous differential equations of stability in partial derivatives of the spatial linear theory of elasticity of an anisotropic body in a cylindrical coordinate system is presented. Based on the use of the Bubnov – Galerkin method, an approach to reducing a three-dimensional system of differential equations of stability to a one-dimensional one is presented. In accordance with it, the stress and displacement functions are expanded in double trigonometric Fourier series along the generatrix and their periodicity along the circular direction of the shell is taken into account. An infinite one-dimensional resolving system of stability equations for anisotropic cylindrical shells in the normal Cauchy form is derived. An algorithm is developed and, using the numerical method of discrete orthogonalization, a software package for a PC is written. In a single computational process, it combines the determination of the parameters of the subcritical stress-strain state and the solution of stability problems for cylindrical shells of tunnel structures in a spatial setting.