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EXAMPLE 4, Slide 13: Load-deflection curves from STAGS for ellipsoidal shells with various imperfections

This is Fig. 254 from the 2009 GENOPT paper. This slide shows pressure deflection curves for axisymmetric and non-axisymmetric collapse of optimized almost perfect (trace 6) and imperfect isogrid-stiffened equivalent ellipsoidal shells.

The optimum design, listed in columns 2 and 3 of Table 33 of the 2009 GENOPT paper, was obtained with linear axisymmetric (n=0) buckling modal imperfections with amplitude, Wimp = 0.2 inch.

For the 180-degree STAGS “soccerball” model shown in the next slide the linear bifurcation buckling modal imperfection shape corresponding to axisymmetric (n=0) collapse (the first 6 traces) is shown in Fig. 257 of Reference 26 listed in the 2009 GENOPT paper.

The linear bifurcation buckling modal imperfection shapes corresponding to non-axisymmetric (n=1) collapse (the last 7 traces) are displayed in Figs. 258 and 262 of the 2009 GENOPT paper.

For the 360-degree STAGS models the linear bifurcation buckling modal imperfection shapes are shown for n=0 in Fig. 6 and for n=1 in Figs. 7 and 10 of the 2009 GENOPT paper.

Compare this figure with Fig. 17 (previous slide).

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