Minimizing weight while maintaining strength in components is a continuous struggle within manufacturing industries, especially in aerospace. This study explores how controlling the dimensions of the geometric parameters of a lattice yields ideal mechanical properties for aerospace-related applications. A previously developed Bubble-mesh based computational method was used to generate a novel type of tetrahedral lattice that allows for the manipulation of three geometric parameters: cell size/density, strut diameter, and strut intersection rounding. Topology optimization and lattice generation within components are typical methods used to decrease weight while maintaining strength. Although these are robust optimization methods, each have their faults. Highly topology-optimized components may fail under unexpected loads, and lattice generation within commercial software is often limited in its ability to create ideal lattices with controlled geometric parameters, resulting in lattices with repeating unit cells. In this study, we used finite element methods (FEM)-based compression tests on latticed cubes with various parameter combinations to determine the best balance of lattice parameters. The results showed that strut diameter and strut intersection rounding were the best parameters to control to maintain strength and reduce weight. This understanding of the lattice structures was then applied to two aerospace components: a jet engine bracket and an airplane bearing bracket. By applying tetrahedral lattices with specified strut diameters and strut intersection rounding, the weight of the jet engine bracket was reduced by 51.8%, and the airplane bearing bracket was reduced by 20.5%.

中文翻译：

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通过有限元分析评估工程应用的四面体晶格参数

在保持部件强度的同时最大限度地减轻重量是制造业，尤其是航空航天领域的持续斗争。本研究探讨了控制晶格几何参数的尺寸如何为航空航天相关应用产生理想的机械性能。先前开发的基于气泡​​网格的计算方法用于生成一种新型四面体晶格，该晶格允许操纵三个几何参数：单元大小/密度、支柱直径和支柱交叉点圆角。组件内的拓扑优化和晶格生成是用于减轻重量同时保持强度的典型方法。尽管这些都是稳健的优化方法，但每种方法都有其缺点。高度拓扑优化的组件可能会在意外负载下发生故障，商业软件中的晶格生成通常受限于其创建具有受控几何参数的理想晶格的能力，从而导致晶格具有重复的晶胞。在这项研究中，我们使用基于有限元方法 (FEM) 的压缩测试对具有各种参数组合的格子立方体进行了测试，以确定格子参数的最佳平衡。结果表明，支柱直径和支柱相交圆度是保持强度和减轻重量的最佳控制参数。这种对晶格结构的理解随后被应用于两个航空航天部件：喷气发动机支架和飞机轴承支架。通过应用具有指定支柱直径的四面体网格和支柱交叉圆角，喷气发动机支架的重量减少了 51.8%，