This presentation is given in 2016 ASME IMECE in Phoenix Arizona.
This talk presents a new approach for buckling analysis of stiffened panels using Mechanics of Structure Genome (MSG). MSG is a recently discovered methodology which can provide the best constitutive models for heterogeneous structures. If a structure gene (SG) can be identified as the fundamental building block of a structure, MSG can rigorously reduce the original analysis into a macroscopic analysis with minimum loss of information. MSG provides an ideal method for buckling analysis of stiffened panels because a fundamental building block with skin and stiffeners can be easily identified as SG. One advantage of MSG is that the buckling analysis remains the same simplicity and efficiency as that for a monolithic panel while this method can predict the buckling loads and mode shapes as accurate as the detailed three-dimensional (3D) finite element analysis (FEA). Another advantage of MSG is that the buckling of composite stiffened panels can be analyzed as simple and efficiently as metallic stiffened panels.
A stiffened plate, depending on its geometry and stiffness, can exhibit different buckling patterns. Two distinctive types of response, local buckling and global buckling, have been found in such circumstances. Local buckling occurs on skin between stiffeners. Global buckling, not seen between stiffeners, are also created, and this type of buckling has longer wave length than local buckling. Depending on the boundary conditions and stiffeners strength, buckling can be predominately localized, globalized, or mixed of both. When skin buckles the structure enters the post-buckling regime and can still carry the load through a proper stress redistribution. When global buckling occurs, the whole panel is deprived of further sustaining loads. Fundamentally speaking, global buckling can be handled by a geometrically linear constitutive modeling of the SG and a geometrically nonlinear analysis of the reference surface. Local buckling can be handed by a geometrically nonlinear constitutive modeling of the SG and a geometry nonlinear analysis of the reference surface.
For stiffened panels that are made of metals, preliminary results shows that MSG-based buckling analysis agrees well with 3D FEA in terms of buckling loads and buckling mode shapes but saves orders of magnitude of computing time. This clearly supports the claim that MSG-based buckling analysis enables rapid yet accurate predication. For composite stiffened panels, FEA is expected to take much more computational efforts than analysis of metal structure due to laminate stacking through thickness. MSG-based buckling analysis is expected to remain the same efficiency because constitutive modeling of composites are confined within SG. Results from MSG-based buckling analysis will be compared with 3D FEA and available results in the literature.
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