Optimization of imperfect stiffened cylinders under destabilizing loads

A design procedure is outlined for optimizing stiffened, thin circular, cylindrical shells subject to a given set of destabilizing loads, in the presence of a specified initial geometric imperfection. The procedure incorporates two distinct steps (a) optimization based on linear buckling analyses and (b) imperfection sensitivity studies of the optimum design point from (a) as well as of the surrounding design space. A comparison of all these designs yield the true optimum in the presence of the specified geometric imperfection. The present methodology is fully demonstrated through two illustrative examples, one dealing with an axially loaded stiffened cylinder and one with a torsionally loaded one.