One method of solving perturbed boundary problems, which are able to model the state of distorted closed torso shells

Abstract

The author describes his own computational method of solving boundary value problems in the theory of closed flexible torso shells with small perturbations of edges in the plane, which is perpendicular to the shell axis. The method is of complex character. The feature of the method is, particularly, a technique of enabling of parameter, which allows to obtain solution in the form of a double asymptotic series that might be summed with given accuracy using two-dimensional fractional rational approximations. This allows to prove convergence to the exact solution in the present model; and numerical experiments show that the method is effective for significantly larger perturbation amplitudes than that of other authors.