Application of Topological Derivative to the Optimal Design of Three-Dimensional Structural Arrangements of Flat Plates
DOI:
https://doi.org/10.70567/mc.v41i16.85Keywords:
Folded structures, Structural optimization, Topological optimizationAbstract
This work addresses the problem of optimal topological design of three-dimensional structures composed of plate arrays based on the use of topological derivatives. These structural arrays consist of planar elements linked at their edges. Their modeling is performed by coupling a membrane model and a bending-plate model. The geometric and material representation is accomplished using level-set curves. To minimize a cost function, the topological derivative value is used to guide the evolution of the level-set curve. A theoretical framework and case studies of academic and industrial applications are presented.
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