Problems on the Finite Hollow Cylinders under the Axially Symmetrical Deformations

Abstract

In this paper, the authors consider three-dimensional elastic problems on a circular hollow cylinder under the axially symmetrical deformations. The problems on the cylinder are classified into twelve fundamental cases according to boundary conditions. The general solution to various problems was obtained by expanding each elementary formula to the condition in a form of a Fourier and Bessel series and by superposing the stress systems. As numerical examples, the stress distributions and deformations of a finite hollow cylinder subjected to uniform band pressure were calculated by the digital computer of Kanazawa University (NEAC-2230). This pressure is distributed circularly over the end-surface and over the middle zone of the inner or outer-surface.