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Imperfection Sensitivity and Limit Loads of Spherical Shells under Radial Pressure
Author(s) -
Pontow Jens,
Dinkler Dieter
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510103
Subject(s) - perturbation (astronomy) , zonal and meridional , spherical shell , mechanics , boundary value problem , limit (mathematics) , physics , mathematical analysis , mathematics , shell (structure) , materials science , atmospheric sciences , quantum mechanics , composite material
The evaluation of the imperfection sensitivity of shell structures and the estimation of their limit loads are widely discussed phenomena. The perturbation energy concept according to Dinkler et al. [1], [2] enables to assess the imperfection sensitivity of shell structures by means of an energy value, the perturbation energy. A buckling criterion may be developed from the comparison between the perturbation energy and experimental data. This paper focuses on the imperfection sensitivity and limit loads of spherical shells of revolution under radial pressure. The investigations include the influence of the meridional angle and different types of boundary conditions. By comparing the numerical results with the German design rule DIN 18800, critical values for the perturbation energy are derived to predict the limit loads. These critical values for the perturbation energy allow to judge whether the German design rule DIN18800 predicts the limit loads of spherical shells under external pressure with varying meridional angles and different boundary conditions with the same reliability in respect of the perturbation energy. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)