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Additive manufacturing scanning paths optimization using shape optimization tools

机译：添加剂制造扫描路径使用形状优化工具优化

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This paper investigates path planning strategies for additive manufacturing processes such as powder bed fusion. The state of the art mainly studies trajectories based on existing patterns. Parametric optimization on these patterns and allocating them to the object areas are the main strategies. We propose in this work a more systematic optimization approach without any a priori restriction on the trajectories. The typical optimization problem is to melt the desired structure, without over-heating (to avoid thermally induced residual stresses) and possibly with a minimal path length. The state equation is the heat equation with a source term depending on the scanning path. First, in a steady-state context, shape optimization tools are applied to trajectories. Second, for time-dependent problems, an optimal control method is considered instead. In both cases, gradient-type algorithms are deduced and tested on 2-D examples. Numerical results are discussed, leading to a better understanding of the problem and thus to short- and long-term perspectives.
机译：本文调查了粉床融合等附加制造工艺的路径规划策略。本领域的状态主要研究基于现有模式的轨迹。参数优化这些模式并将其分配给对象区域是主要策略。我们提出了这项工作，更系统的优化方法，没有任何对轨迹限制的方法。典型的优化问题是熔化所需的结构，而不会加热（以避免热引起的残余应力）并且可能具有最小的路径长度。状态等式是具有根据扫描路径的源术语的热方程。首先，在稳态上下文中，形状优化工具应用于轨迹。其次，对于时间依赖的问题，代替考虑最佳控制方法。在这两种情况下，推导出梯度型算法并在2-D例上进行测试。讨论了数值结果，从而更好地了解问题，从而提高了短期和长期的观点。

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