Research of the influence of rectangular cutout dimensions on the stress-strain state of shells using an effective finite element model

Abstract

The effect of the dimensions of a rectangular cut on the stress-strain state of a cylindrical shell using an effective finite element model is investigated. A cylindrical finite element rectangular in the plan is used for thin moment shells built on the Kirchhoff – Love hypotheses. The considered finite element is based on functions of the form received at approximation of the generalized deformations with the subsequent satisfaction to the equations of compatibility of deformations. The functions of the form accurately consider displacements as rigid bodies. A comparison of convergence of results obtained with the help of the considered finite element and other known finite elements of foreign authors is given. The example of a cylindrical shell with notches shows a good correspondence of the solution radiated by the considered finite element with the method of grids, as well as the efficiency of the applied finite element having 20 degrees of freedom as compared to the common finite element having 24 degrees of freedom. The influence of the cutout dimensions on the maximum values of deflections and longitudinal forces for a cylindrical shell is shown.