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Example 11, Slide 8: General buckling modes of the same optimized cross-section profile shown in the previous slide, but extended to include the entir

Fig. 10 from the 2014 GENOPT paper.
General buckling of the optimized “fold98updown” case for which the optimized weight of the entire panel of WIDTH = 100 inches is 97.16 lb, as shown in the previous figure. Here the full panel width, WIDTH = 100 inches, is included in the new BIGBOSOR4 model. Only half of the optimized panel width is displayed in the previous figure. NOTE: The optimization cycles are performed only for “half-width” models. After completion of the optimization process, the behavior of that same optimized panel cross section, now with the full 100-inch width, WIDTH, included in the model, is determined by BIGBOSOR4. Notice that the 2nd eigenvalue for n = 1 for the full-width BIGBOSOR4 model (middle frame above) is very close to that shown in the middle frame of the previous figure, which is computed for the half-width model with the freer left-hand edge, that is, with symmetry/anti-symmetry boundary conditions imposed along the left-hand edge as indicated in the previous figure rather than with the more restrictive boundary condition, u,v,w, held and rotation free, that is indicated in Fig. 6. In the top frame of the next figure is shown a much larger BIGBOSOR4 80-segment model of width = 5 x WIDTH = 500 inches that has 5 repeating cross section profiles, each of width, WIDTH = 100 inches and each the same as the optimized profile shown here.

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