论文标题
拓扑优化，用四凯（Tetra-kai-Decahedra）和球形口罩优化
Topology Optimization with Tetra-kai-decahedra and Spheroidal Masks
论文作者
论文摘要
一种基于常规的四凯面体，也称为截断的八面体，一种新型的网格划分方案，用于用于空间拓扑优化的细胞。四甲苯二卫式网格确保元素之间的连通性，从而消除了溶液空间的单数解决方案。实施上述网格的其他各种好处也将突出显示，并引入了相应的有限元。材料掩盖策略或MMO，一种基于特征的拓扑优化方法扩展了用于三维（MMOS-3D）的通过上述有限元和球形负面掩码。开发了用于密度计算和灵敏度分析的基于梯度优化的敏感性分析。关于拟议方法的功效的详细讨论，介绍了有关传统结构拓扑优化问题的示例。
A novel meshing scheme, based on regular tetra-kai-decahedron, also referred to as truncated octahedron, cells is presented for use in spatial topology optimization. A tetra-kai-decahedron mesh ensures face connectivity between elements thereby eliminating singular solutions from the solution space. Various other benefits of implementing the said mesh are also highlighted, and the corresponding finite element is introduced. Material mask overlay strategy or MMOS, a feature based method for topology optimization is extended for use in 3-dimensions (MMOS-3D) via the aforementioned finite element and spheroidal negative masks. Formulation for density computation and sensitivity analysis for gradient based optimization is developed. Examples on traditional structural topology optimization problems are presented with detailed discussion on efficacy of the proposed approach.
