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Combined length scale and overhang angle control in minimum compliance topology optimization for additive manufacturing

机译：增长长度和悬角控制在最小合规性拓扑优化中的添加剂制造

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This paper focuses on topology optimization for additive manufacturing. In order to ensure that the optimized design is immediately manufacturable, it is essential to take into account the appropriate geometric constraints during the optimization. Two important constraints are minimum length scale and maximum overhang angle. A minimum length scale is needed to ensure that the condition on minimal printable feature sizes is satisfied, while an imposed overhang angle eliminates the need for a temporary support structure. This paper first shows that both constraints cannot simultaneously be met by a straightforward coupling of existing methods for length scale and overhang angle control. Next, a new filtering scheme is introduced, based on a specific combination of spatial filters, which allows direct control over these constraints in a minimum compliance topology optimization problem. A 2D benchmark problem and a complex 3D case study are presented to demonstrate that the proposed filtering scheme successfully imposes a target length scale in both the solid and the void phase of the design domain, while simultaneously allowing control over the overhang angle.
机译：本文重点介绍了添加剂制造的拓扑优化。为了确保优化的设计立即产生，必须考虑在优化期间适当的几何约束。两个重要的约束是最小长度和最大悬垂角度。需要最小长度尺度以确保满足最小可打印特征尺寸的条件，而施加的悬垂角度消除了对临时支持结构的需求。本文首先表明，通过用于长度尺度和悬垂角度控制的现有方法的直接耦合，不能同时满足两个约束。接下来，基于空间滤波器的特定组合引入了一种新的过滤方案，其允许在最小合规性拓扑优化问题中直接控制这些约束。提出了2D基准问题和复杂的3D情况研究以证明所提出的滤波方案在设计域的固体和空隙阶段成功地施加了目标长度，同时允许控制悬角。

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