Hexagonal Mesh Topology Optimization Based on Improved Level Set
In order to solve the structural optimization problem of volume-constrained flexibility minimiza-tion,this paper proposes a new method for the defect of large-area grayscale in the final structure optimiza-tion of hexagonal mesh topology based on variable density method.First,finite element division is carried out to generate a design domain populated by a hexagonal mesh;Secondly,the improved level set method is introduced to optimize it,and the level set function is defined according to the node,and the element sensi-tivity is extended to the node sensitivity,and the speed used to evolve the level set function is obtained,which is used to solve the evolution equation of the level set function,and then carry out topological optimization;Finally,three grid scale semi-MBB beams and Michel structures are used to verify the proposed method.The results showed that the flexibility of semi-MBB beam cases decreased by 3.78%,10.30%and 12.66%,re-spectively,and the flexibility of Michel structure cases decreased by 9.46%,12.43%and 14.29%,respec-tively.From the experimental example,the proposed method can obtain a topology optimization structure with less flexibility,clear structure and smooth boundary.
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