The reversed "von Karman/Brazier effect" and a compendiary analytical solution

TL;DR

This paper introduces precise analytical formulas for the reversed von Karman/Brazier effect in cylindrical shells, aiding in understanding and design, especially in offshore engineering, by building on previous work and Donnell's equations.

Contribution

It provides new analytical formulae for the reversed von Karman/Brazier effect, improving accuracy and applicability over previous approximate methods.

Findings

Analytical formulas accurately evaluate the reversed effect.

Formulas highlight impact of shell arrangements in engineering.

Potential applications in offshore design and safety assessments.

Abstract

The goal of the present study is to offer some accurate analytical formulae for the evaluation of the here defined reversed "von Karman/Brazier's effect", which may appear at first sight anomalous and has previously been noticed and successively explained using both Finite Element analyses and approximate analytical formulations. The proposed analytical formulae, based on the previous contribution of one of the present authors and on the Donnell's equations for cylindrical shells can be helpful in emphasizing the possible impact that some arrangements may have in various fields and especially in offshore engineering and can assist design calculations.