Analysis of axisymmetric redundant structures

Abstract

Based on the principle of complementary energy, a system of compatibility equations for axisymmetric structures is derived. Using the compatibility equations, an analysis method, suitable for use with the digital computer and for hand computations is developed. Equations for analysis of most of the usually encountered types of free bodies are given. Method for evaluation of matrix contributions is described, and a complete numerical sample is reproduced at the end of this article. Analysis as described herein has been programmed at The Franklin Institute and successfully used by the author for numerous reactor vessel, heat exchanger and other axisymmetric structure analyses.