Additive manufacturing has enabled the fabrication of complex structures such as cellular structures. Although numerous design frameworks have been proposed for cellular structures, their effectiveness was limited owing to the use of B-rep-based representation. To address the limitations in previous research, this study proposes an implicit-based computer-aided design framework customized for additively manufactured functionally graded cellular structures (AM-FGCSs). The proposed design framework effectively aids in both single- and multiscale structural optimization for designing FGCSs. Moreover, implicit-based modeling afforded a reliable geometric representation that could efficiently assist computation tasks such as visualization, validation, and process planning for fabrication. In addition, two case studies were conducted to demonstrate the effectiveness of the proposed framework for designing FGCSs. The first case study on a three-point bending beam design problem proved the practicality of implicit-based representation in multiscale structural design. Meanwhile, the second case study validated the proficiency of the proposed framework in process planning for fabrication and engineering analysis, the two most vital computation tasks in designing cellular structures.

中文翻译：

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基于隐式的计算机辅助设计，用于增材制造的功能渐变单元结构

增材制造使得能够制造复杂的结构，例如蜂窝结构。尽管已经提出了许多用于细胞结构的设计框架，但是由于使用了基于B-rep的表示法，其有效性受到了限制。为了解决先前研究中的局限性，本研究提出了一种基于隐式的计算机辅助设计框架，该框架针对增材制造的功能梯度细胞结构（AM-FGCS）进行了定制。所提出的设计框架有效地帮助设计FGCS的单尺度和多尺度结构优化。此外，基于隐式的建模提供了可靠的几何表示，可以有效地协助计算任务，例如可视化，验证和制造过程规划。此外，进行了两个案例研究，以证明所提出的框架设计FGCS的有效性。关于三点弯曲梁设计问题的第一个案例研究证明了隐式表示法在多尺度结构设计中的实用性。同时，第二个案例研究验证了所提出的框架在制造和工程分析过程规划中的熟练程度，这是设计细胞结构中最重要的两个计算任务。