THE STATIC ANALYSIS OF OPTIMUM CLOSURES OF THIN-WALLED CYLINDERS

Abstract

This paper deals with the problem of optimal vessel end closures subjected to internal pressure. This research aims to analyse the shapes of the middle surfaces in the case of one-arc and two-arc domes. The optimal solutions seek to minimize design complexity while satisfying geometric and strength requirements. For one-arc closures, meridional profiles are defined by a generalized ellipse as well as a Bezier polynomial of the 5th degree, while in the case of two-arc closures, they are represented by Bezier polynomials of the 3rd and 5th degree. The static analysis was conducted using the finite elements method implemented in the Simcenter Femap software package. Appropriate conclusions were derived by assessing equivalent stresses and criterion functions.