正交各向异性填充涂层结构的优化与投影
Optimization and projection of coated structures with orthotropic infill material
摘要：
这项工作的目的是双重的。首先，我们介绍了一种有效的基于均匀化的方法进行正交各向异性填充材料涂层结构的拓扑优化。通过利用松弛的设计空间，我们可以在相对粗糙的网格上获得具有复杂微结构的设计。在这项工作的第二部分中，提出了一种方法来投影均匀化的设计上的罚款，但可实现的规模。提出了一种新的自适应细化网格结构的方法，以允许规则的填充间距。数值实验表明，投影设计的性能优良，几乎相同的基于均匀化的设计。此外，与使用基于密度的方法优化填充的相关方法相比，实现了计算成本的至少一个数量级的降低。
英文摘要：
The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can obtain designs with complex microstructures on a relatively coarse mesh. In the second part of this work, a method is presented to project the homogenization-based designs on a fine but realizable scale. A novel method to adaptively refine the lattice structure is presented to allow for a regular spacing of the infill. Numerical experiments show excellent behavior of the projected designs, which perform almost identical to the homogenization-based designs. Furthermore, a reduction in computational cost of at least an order of magnitude is achieved, compared to a related approach in which the infill is optimized using a density-based approach.
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