Numerical-Analytical Solution of the Problem of Axisymmetric Deformation in a Cylinder under Action of Compressive Loads

Abstract

A circular cylinder of finite height that is in the conditions of axial symmetric deformation is considered. Compressive loads are applied to the bases of the cylinder. The Erie stress function is represented in the form of Legendre polynomials. The behavior of a function describing the potential energy of formation in a cylinder is investigated. As a result of numerical experiments, the location of the zones, in which the potential energy is maximum, is clarified. The cases of a symmetric and asymmetric load on the cylinder bases are considered.

Keywords

• elastic cylinder
• axisymmetric deformation
• forming energy
• legendre polynomials