Shaping of dished heads of the cylindrical pressure vessel for diminishing of the edge effect

The paper is devoted to diminishing of the edge effect in three nonstandard dished heads of a cylindrical pressure vessel subjected to internal uniform pressure. The problem of the edge effect diminishing in the joint of the dished head with the cylindrical shell is analytically and numerically studied. The meridians of the analysed dished heads as the shells of revolution are plane curves in the Cassini oval, Booth lemniscate and clothoid forms. Geometrical relationships of the middle surfaces of the dished heads are formulated. The stress state of these dished heads are analytically and numerically studied using finite element method in Ansys system. The results of the studies are compared and presented in Tables and Figures.