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This is Fig. 1c from the 2011 GENOPT paper, "Use of GENOPT and BIGBOSOR4 to obtain optimum designs of an axially compressed cylindrical shell with a composite truss-core sandwich wall" by David Bushnell and Charles Rankin, AIAA 52nd Structures, Structural Dynamics, and Materials Conference, 2011, AIAA Paper 2011-1811.
This slide shows the cross section of a single module of the model used for the prediction of local buckling by GENOPT/BIGBOSOR4. The truss-core sandwich cross section is discretized, and variation of the local buckling modal displacement in the direction normal to the plane of the slide is trigonometric.
A true prismatic shell model is used for the analysis by BIGBOSOR4.The next slide shows a local buckling model that has several of these modules strung together.
See the "GENOPT" slide show for more on optimization of thin-walled structures in which BIGBOSOR4 is the structural analyzer.
Reference for the "true prismatic" shell model incorporated recently (2010) into BIGBOSOR4:
Bushnell, David, "Comparison of a "huge torus" model with a true prismatic model for: 1. an axially compressed simple monocoque cylindrical shell, 2. an axially compressed optimized truss-core sandwich cylindrical shell, and 3. an axially compressed optimized internally ring and stringer stiffened cylindrical shell with a T-stiffened weld land, Unpublished report for NASA Langley Research Center, February 12, 2010 and contained in the file, ...bigbosor4/case/prismatic/prismaticshell.pdf
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