In this study, we proposed a minimum weight design of a submarine pres
sure hull under hydrostatic pressure with constraints on factors such
as general instability, buckling of shell between frames, plate yieldi
ng, and frame yielding. A typical submarine pressure hull is also adop
ted for a prototype model. This design problem is not only formulated
as a discrete nonlinear, nondifferentiable, multimodal constrained min
imization problem, but also solved by using the backtrack programming
method. Results in this study indicate that the solution for the optim
al model's weight reduces an average 6.65% more than the prototype mod
el. The process in this study is favorable for the submersible pressur
e hull design process. (C) 1997 Elsevier Science Ltd.