Calculation of a cylindrical well by the numerical-analytical boundary element method

The paper developed an algorithm for applying the numerical-analytical method of boundary elements to the calculation of reinforced concrete and fiber-reinforced concrete cylindrical wells, which from the point of view of structural mechanics are long cylindrical shells. Several methods were recommended for analyzing the operation of cylindrical shells. An analysis of the literature shows that very little attention is paid to the development of new methods for calculating reinforced concrete and steel-fiber-reinforced concrete cylindrical shells, therefore this direction is relevant. The essence of the proposed method lies in the initial discretization of the linear system into the simplest modules. After analyzing the state of all modules of the system, their synthesis and reverse transition to the system under consideration are performed. A module is understood as a rod - for rod systems and a generalized rod - for plate and shell systems. Each module as a one-dimensional physical body has only two boundary points. The method is based on solving the differential equations of the problem in the form of initial parameter methods. The solution of the problem is reduced to solving one system of linear algebra equations and calculating the stress-strain state at the internal points of the rods according to the ratio of the initial parameter method. Such a solution scheme provides very accurate and reliable results that can be presented using MATLAB or another environment. The implementation of the proposed method allows you to obtain kinematic and static parameters of the stress-strain state of the shell of reinforced concrete or fiber-reinforced concrete cylindrical wells under any loads and boundary conditions. In the future, the authors plan to solve the problem using the finite element method in some engineering program (for example, in the ANSYS package) in order to assess the accuracy of the developed algorithm.