Study of Numerical Solutions for the Deformations of A Bourdon Tube

Abstract

<p>The objective of this study is to compute numerically the deformations on an elliptical cross-sectional bourdon tube by solving the partial differential equations as presented by Lee [Reference 12].</p> <p>The partial differential equations and boundary conditions are reduced to a set of simultaneous linear equations by approximating partial derivatives to the corresponding difference quotients sing finite difference techniques.</p> <p>The next step involves the solution of this set of linear equations. The direct method of inverting the matrix was not possible to the memory limitations of the computer. Therefore, a block iteration technique was used, but it was found that convergence was not possible. The next method evolved was that of double iteration. for this method a convergence test was applied which indicated that convergence was possible, but the rate of convergence was very low.</p> <p>It is not practical to use this method, unless the convergence rate is improved. At the present no method is available to improve the convergence rate effectively. Therefore the study concludes with suggestions that either the convergence rate should be improved by evoking new methods or an entirely new formulation of the problem should be made.</p>