A semi-analytic finite element approach to the stress analysis of circular plate

Abstract

A review of techniques for the calculation of deflection and stresses in circular plates has been made with the object of ascertaining the most suitable general approach for the analysis of plates under conditions of asymmetric loading. The semi-analytic finite element method was selected and has been successfully developed for use in this application. Computer programs are presented for the analysis of any annular or complete circular plate which is axi-symmetric in its geometric and material properties, but is leaded either symmetrically or asymmetrically. The programs have been applied to the analysis of several test cases and the results compared with those obtained by other means of analysis and,in some cases, from practical tests. Satisfactory correlation of the results indicates that the programs are sufficiently accurate for most practical purposes, and that they are computationally efficient when compared with other techniques. The problems associated with the analysis of plates stiffened by the use of radial ribs are discussed, together with the feasability of extending the semi-analytic finite element technique to handle this particular application.