Analysis of static problems for smooth and ribbed cylindrical shells under complex mechanical loads

Abstract

Static problems for thin isotropic smooth and locally reinforced cylindrical shells subjected to local loads with complex boundary conditions are examined using the linear theory. The stress-strain state of a casing is determined by the technical theory of shells, while the stress-strain state of its ribs is determined by the Kirchhoff-Klebsch theory of rods. Stiffening elements are applied eccentrically and may have the same or different stiffnesses. Stiffness may also change along a given element Regular and irregular arrangements of stiffening elements are used. Shells of minimum weight are also examined. The problems are solved by the finite differences method. The reliability of the results is demonstrated by comparison with experimental data and numerical results obtained with a denser grid. The goal of these investigations is to determine qualitative and quantitative characteristics of the stress and strain distributions, as well as to establish corresponding distribution laws that could be used to predict solutions for other shells based on assigned parameters without the need for calculations.