Buckling Optimization of Perforated Curved Shells

Shape optimization design is carried out in the paper aiming at the feature of openings on curved shells to enhance the structural stability and reduce the stress concentration. In order to make sure that the hole boundary curve are always located on the prescribed curved shell, the parametrical mapping method is employed to describe the hole boundary on the curved shells with shape design variables defined in the intrinsic reference domain. Then, different optimization models are established and the specific sensitivity is calculated for buckling optimization. Finally, it concludes from numerical examples that the structural stability and the intensity benefit together for a curved surface with a large curvature, and they are contradictory for a curved surface with a small curvature.