Simultaneous topology and machine orientation optimization for multiaxis machining
Simultaneous topology and machine orientation optimization for multiaxis machining
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DOI：
10.1002/nme.6839
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发表时间：
2021-10
影响因子：
2.9
通讯作者：
Joshua Gasick;Xiaoping Qian
中科院分区：
文献类型：
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作者：
Joshua Gasick;Xiaoping Qian
我们提出了一种基于密度的多轴加工拓扑优化方法，其中优化设计可以由一个或多个轴加工。在我们的方法中，密度和机床轴可以同时优化。我们基于多轴可加工性的拓扑优化方法的支点是一个通过不可接近体积表征可加工性的公式。该公式对密度轴和加工轴都是可微分的，因此适用于基于梯度的优化。我们使用平流-扩散方程来计算不可接近体积。给出了二维和三维线性弹性问题的数值算例，验证了该方法的有效性。
We present a density‐based topology optimization approach for multi‐axis machining where optimized designs can be machined by one or multiple axes. In our approach, density and machine axes can be simultaneously optimized. The fulcrum of our multi‐axis machinability based topology optimization approach is a formulation that characterizes machinability through inaccessible volume. This formulation is differentiable to both density and machining axes, and thus is amenable to gradient‐based optimization. We use an advection‐diffusion equation to facilitate the evaluation of inaccessible volume. Numerical examples on 2D and 3D linear elasticity problems are presented as a demonstration of the efficacy of this approach.