Abstract
The optimal geometries of externally-pressurized torispherical end closures, having a prescribed weight, are sought under static stability criteria. End closures are obtained which will withstand maximum or minimum buckling pressures. Their response to initial axisymmetric imperfections is examined and compared to that of hemispherical closures of the same weight and material properties. A direct search technique, known as the complex method of Box ( Comput. J. 8, 45–52, 1965), is used together with the BOSOR 5 Code as a solver.
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