Abstract The manufacturability model of complex structure is the premise of manufacturing, and it is necessary to consider material properties, structure design, manufacturing constraints, and so on. However, due to the inconsistent restrictions between design and manufacturing, it is not easy to obtain the manufacturable structure that matches its design performance using layer-wise manufacturing. This paper presents a topology optimization method for manufacturable form, which incorporates the self-supporting factors such as overhang angle and length based on the characteristics of the generic additive manufacturing process. The support relationship between the supporting and supported elements in self-supporting constraints is mapped to a cascade relationship between two adjacent layers. To avoid a low-density structure supporting multiple high-density ingredients, we establish a fabrication model using the smax and smin operators. Also, the sensitivity analysis and variable updating method are given under the Solid Isotropic Material with Penalization method. Furthermore, numerical examples are shown to validate the correctness and superiority of this proposed self-supporting structure design method.

中文翻译：

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增材制造中具有自支撑约束的结构设计拓扑优化方法

摘要 复杂结构的可制造性模型是制造的前提，需要考虑材料特性、结构设计、制造约束等因素。然而，由于设计与制造之间的限制不一致，采用分层制造的方式很难获得与其设计性能相匹配的可制造结构。本文根据通用增材制造工艺的特点，提出了一种可制造形式的拓扑优化方法，该方法结合了悬垂角和长度等自支撑因素。自支撑约束中的支撑元素和被支撑元素之间的支撑关系映射为两个相邻层之间的级联关系。为了避免支持多种高密度成分的低密度结构，我们使用 smax 和 smin 运算符建立了制造模型。此外，敏感性分析和变量更新方法在带惩罚的固体各向同性材料下给出。此外，通过数值算例验证了所提出的自支撑结构设计方法的正确性和优越性。