Computational analysis of elastic field of deep curved beams/rings using displacement-function equilibrium method

A new computational approach is proposed for determining the elastic field of deep curved beams/rings, which is based on a displacement-function equilibrium method. The displacement function is defined in terms of the radial and circumferential components of displacements, which is governed by a single partial differential equation of equilibrium. Solution of the elastic field is obtained in terms of the displacement function, in which both the uniform and the mixed mode of boundary conditions are treated with equal sophistication. The application of the single function computational method is demonstrated through the numerical solutions of a number of problems of curved beams and rings with mixed boundary conditions. The soundness and accuracy of the investigation are verified through the comparison of results with those obtained by conventional computational and analytical approaches available.