Review article

The method of variation approximations (MVA), proposed by the author earlier for the calculation of elastic thin-walled spatial systems with irregularities in the form of local loads, fractures of the middle surface, reinforcing elements, discrete and one-sided connections of various types, which are taken into account with the help of generalized functions, is developed in this work with respect to the calculation of physically and structurally nonlinear systems. To obtain a semi-analytical solution of high accuracy at each stage of loading, it is sought by the MVA at two-dimensional approximation of displacements by generalized functions using the iterative process of reducing the discrepancy.