Axisymmetric deformation of toroidal shells with strong flexure (Q1326095)

Strong flexure of a toroidal shell is investigated by two methods: numerical and asymptotic. Numerical calculation is by the method of continuous extension of the solution with respect to a universal parameter, an implicit algorithm is used for this process, on account of the large variation in the displacement in axisymmetric deformation. On the basis of these calculations, a form of the resolving equations which is more convenient and facilitates the analysis of the results is proposed. In the asymptotic integration of the equations of strong flexure of nonshallow shells of revolution, the small parameter adopted is that characterizing the thinness of the shell walls, which is proportional to the ratio of the shell thickness and the radius of principal curvature.