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This slide shows a figure from the unpublished report: "Use of GENOPT and BIGBOSOR4 to obtain optimum designs of a deep submergence tank", July 1, 2009, by David Bushnell,unpublished report.
(See the "GENOPT" slide show and the GENOPT papers for details on how GENOPT/BIGBOSOR4 does optimization with the use of BIGBOSOR4 as the structural analyzer.)
ABSTRACT of the unpublished report:
The GENOPT/BIGBOSOR4 capability is used to obtain an optimum design of a titanium cylindrical tank with hemispherical ends. The tank is subjected to 15000 psi uniform external pressure. The objective of the optimization is to minimize the weight of the tank subject to stress and buckling design constraints.
The decision variables establish the distribution of the shell wall material in a wide neighborhood of the junction between the hemispherical and cylindrical segments of the tank. The titanium is assumed to remain elastic. Creep is not included.
The maximum allowable effective stress is assumed to be 120000 psi. A factor of safety of 1.3 is used for buckling and a factor of safety of 1.0 is used for stress.
Enough detail is given so that an engineer or researcher other than the writer will be able to optimize similar shell structures with GENOPT/BIGBOSOR4.
This slide shows the optimized axisymmetric thickness distribution along the meridian of a hydrostatically compressed deep submergence cylindrical shell with a hemispherical end.
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