Three Dimensional Analysis of a Finite Hollow Cylinder Subjected to Axi-Asymmetric Deformations

Three dimensional elastic analysis of a finite hollow cylinder is very important to a practical design of machine parts. A few kinds of problems on an infinite hollow cylinder subjected to axi-asymmetric loads has already been studied. But the problem of a finite cylinder subjected to axi-asymmetric loads has not yet been analyzed. In this paper, a double Fourier series solution on the analysis of a finite hollow cylinder subjected to axi-asymmetric loads has been obtained by introducing stress functions which are given as series forms. Numerical results for some boundary conditions are obtained by using a digital computer and effects of Poisson's ratio, the ratio of inner radius to outer radius, and so on are discussed.