In additive manufacturing, the fabrication sequence has a large influence on the quality of manufactured components. While planning of the fabrication sequence is typically performed after the component has been designed, recent developments have demonstrated the possibility and benefits of simultaneous optimization of both the structural layout and the corresponding fabrication sequence. This is particularly relevant in multi-axis additive manufacturing, where rotational motion offers enhanced flexibility compared to planar fabrication. The simultaneous optimization approach, called space–time topology optimization, introduces a pseudo-time field to encode the manufacturing process order, alongside a pseudo-density field representing the structural layout. To comply with manufacturing principles, the pseudo-time field needs to be monotonic, i.e., free of local minima. However, explicitly formulated constraints proposed in prior work are not always effective, particularly for complex structural layouts that commonly result from topology optimization.

中文翻译：

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增材制造时空拓扑优化的正则化


在增材制造中，制造顺序对制造部件的质量有很大影响。虽然制造顺序的规划通常是在组件设计完成后进行的，但最近的发展已经证明了同时优化结构布局和相应制造顺序的可能性和好处。这在多轴增材制造中尤其重要，与平面制造相比，旋转运动提供了更高的灵活性。同步优化方法称为时空拓扑优化，引入了伪时间场来编码制造工艺顺序，以及代表结构布局的伪密度场。为了符合制造原理，伪时间场需要是单调的，即没有局部最小值。然而，先前工作中提出的明确制定的约束并不总是有效，特别是对于通常由拓扑优化产生的复杂结构布局。