The numerical construction of dominant functions for problems of deformation mechanics for shells of revolution

The method of functional normalization for the analytical solution of linear boundary-value problems with arbitrary values of independent variable and parameters in differential equations is developed. The algorithm for solution of boundary-value problems without analytical solution of stiff differential equations is proposed as well. Results of calculations for cylindrical, conic and spherical shells with the relation of radius to thickness up to 1000 and more, with the relation of a length to radius up to 150 and more are obtained. The results include the numerical analysis of the passage to the limit from the model of a cylindrical shell to the model of a bar of tubular section.