论文标题

拓扑优化的添加剂制造具有长度规模,悬垂和建筑定位约束

Topology optimization for additive manufacturing with length scale, overhang, and building orientation constraints

论文作者

Kumar, Prabhat, Fernández, Eduardo

论文摘要

本文介绍了一种基于密度的拓扑优化方法,该方法考虑了增材制造限制。提出的方法考虑了零件的最小尺寸,最小腔尺寸,无法使用牺牲支撑结构而无需伸出零件的打印零件以及打印方向。这些约束是在几何解决和实施的。通过众所周知的过滤技术施加了实体和空隙区域的最小尺寸。使用约束来减少牺牲支撑材料,该约束通过将结构梯度与临界参考斜率进行比较,从而限制了零件的最大悬垂角。由于梯度的局部性质,所选的限制容易引入符合结构斜率的部分,但这可能不是自给自足的。该限制限制了用户定义的打印方向的最大悬垂角,如果未正确选择方向,这可能会降低结构性能。为了缓解这些挑战,提出了一种新的方法,以减少引入此类非自有支持的零件和一种新方法,其中包括在最大的悬垂角约束中包括不同的打印方向。通过解决一组2D基准设计问题,包括僵硬的结构和兼容的机制,可以说明考虑固体和空隙相,最大悬垂角和打印方向的最小尺寸,最大悬垂角和打印方向的拟议策略。我们还为教育目的和复制结果提供了MATLAB代码。

This paper presents a density-based topology optimization approach considering additive manufacturing limitations. The presented method considers the minimum size of parts, the minimum size of cavities, the inability of printing overhanging parts without the use of sacrificial supporting structures, and the printing directions. These constraints are geometrically addressed and implemented. The minimum size on solid and void zones is imposed through a well-known filtering technique. The sacrificial support material is reduced using a constraint that limits the maximum overhang angle of parts by comparing the structural gradient with a critical reference slope. Due to the local nature of the gradient, the chosen restriction is prone to introduce parts that meet the structural slope but that may not be self-supporting. The restriction limits the maximum overhang angle for a user-defined printing direction, which could reduce structural performance if the orientation is not properly selected. To ease these challenges, a new approach to reduce the introduction of such non-self-supporting parts and a novel method that includes different printing directions in the maximum overhang angle constraint are presented. The proposed strategy for considering the minimum size of solid and void phases, maximum overhang angle, and printing direction, is illustrated by solving a set of 2D benchmark design problems including stiff structures and compliant mechanisms. We also provide MATLAB codes in the appendix for educational purposes and for replication of the results.

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