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Probabilistic analysis of cylindrical shells under continuously varying load combinations

2025/06/27 by Reuter, Niklas, Kriegesmann, Benedikt
#Buckling | Combined loading | Cylindrical shells #Technology::600: Technology

paper · doi:10.15480/882.15310

Abstract

This paper presents a probabilistic design method for cylindrical shells under combined loading without explicitly simulating each load combination. Exemplarily, the combination of axial compression and torsion is considered. The probabilistically motivated design load is a quantile of the buckling load distribution. The stochastic distribution of the buckling load (and hence any quantile) differs for each combination of axial load and torsion. The basic idea of the presented method is to consider the buckling response as a random field, where the parameter describing the load ratio is the field variable. When this random field is characterized, the stochastic distribution may be determined for any load combination without explicitly running a probabilistic analysis for this load combination. This approach is compared to a more simple and straightforward approach of interpolating stochastic moments or quantiles between different load combinations.

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