The Stress State of Stiffened Shallow Orthotropic Shells

An approach is proposed for stress analysis of elastic systems consisting of shallow shells having a rectangular planform and stiffened with rods in one direction. The shell curvature varying in the direction perpendicular to the ribs and piecewise-constant in another direction is taken into account. A system of ordinary differential equations and shell–rib conjugation conditions are derived after separation of variables for two simply supported opposite contours. A one-dimensional boundary-value problem is solved by a stable numerical method. The results of a stress–strain analysis of shipbuilding structural elements are presented as an example