On a problem of nonlinear deformation of a cylindrical shell: PMM vol.38, n≗5, 1974, pp. 942–944

Abstract

Problems of the axisymmetric deformation of elastic thin-walled shells of revolution, taking into account the finiteness of the displacements, have been examined sufficiently completely up to now for spherical type shells. Thus, numerical methods have been developed in [1–4] and solutions have been obtained for domes of diverse geometry under various external effects. It is shown below in the example of a long cylindrical shell that equilibrium modes of the rubber type of a flexible rod appear for shells of revolution whose Gaussian curvature is almost zero, under definite effects.