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This is Fig. 1 from the 2012 GENOPT paper. This slide shows the cross section of the “double” wall of the spherical vacuum chamber with radial webs.
The radius to the inner wall is RADIUS, which is not a decision variable. The decision variable candidates are: the distance between the inner and outer walls, HEIGHT, the two radii of curvature, RINNER and ROUTER, and the five thicknesses, TINNER, TOUTER, TFINNR, TFOUTR, and TFWEBS.
The pressure inside the inner wall is PINNER; the pressure outside the outer wall is POUTER; the pressure between the inner and outer walls is PMIDDL. PMIDDL > POUTER > PINNER.
The segments of the wall of thickness TFINNR and TFOUTR have little holes in them so that PMIDDL acts on both surfaces of them (no net pressure on them). Buckling of and stress in this configuration are computed with use of the BIGBOSOR4 computer program.
The wall is optimized (minimum weight) with the use of the system of computer programs called “GENOPT/BIGBOSOR4” [Refs 3 and 6 – 9 cited in the 2012 GENOPT paper].
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