Analysis of Toroidal Shells with Initial Displacements

摘要

An approximate method for analyzing toroidal shells by linear bending theory is presented. Special emphasis is placed on the influence of initial displacements of the meridian, due to manufacturing imperfections, in determining the stresses and displacements of the shells. The results of the analysis are compared with strain gage readings for the case of uniform normal pressure. A reasonable agreement is obtained only if the effects of the imperfections are included in the analysis. Methods of solution for axial forces and centrifugal loads are also given; the former is shown to be insensitive to the initial displacements, while the sensitivity of the latter depends on the source of the loading (fluid enclosed in the shell or the shell material itself). (Author)