An approach to the solution of geometrically nonlinear problems of applied shell theory

Abstract

A method is proposed for linearization of geometrically nonlinear equations of applied shell theory /1/. The initial nonlinear problem is reduced to a sequence of linear problems for a shell having the additional parameters of flexural rigidity, curvature and torsion; these parameters are determined in the course of successive approximations. To construct the deformation curve, the entire process of applying the load is divided into a series of stages, at each of which the solution is found in a hyperplane perpendicular to a line passing through a points corresponding to the two preceding stages. By means of the algorithm, it is possible to construct the deformation curves for both single and multi-parameter loads.