Mechanics of deformation of a cylindrical shell by radial forces

The study of mechanics of deformation of a cylindrical shell is important because such shells are widely used in mechanical engineering and many of them are subject to local loadings. When designing thin-walled structures, the local loading on a shell is often approximated by a concentrated force. This can be explained by the desire to simplify the computer algorithm: there is no need to solve differential equations with the right-hand side that appears due to surface loads. However, the representation of a surface load by a concentrated force introduces errors in the strength characteristics of a shell computed. Theoretically, the problem of deformation of a shell under concentrated loads can be solved by removing a singular point and using asymptotic formulas for the unknown functions. Many researchers solved this problem, but even approximate estimates of such errors have not been found yet. This article is the first to evaluate these errors. Formulas are given for a priori estimates of errors in computer calculations. The results of research will be useful when designing aircrafts.

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