基于多目标优化的增材制造分级晶格结构新设计方法

Xiangyun Li, Liuxian Zhu, Shuaitao Fan, Yingying Wei, Daijian Wu, Shan Gong
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摘要

目的虽然自然界的性能要求多种多样,但分级晶格结构显示出独特的机械特性,具有巨大的工程应用潜力。在生物力学功能中,外部载荷和渗透性是影响骨组织工程的关键因素,因此在承重应用中,骨支架的几何设计必须采用晶格结构。然而,在调整结构特性时,这两个因素经常会发生冲突。为了处理不同的应力状态,我们采用参数建模的方法来制作具有空间变化密度的基于支柱的晶格结构。根据有限元法和计算流体动力学模拟,对格子结构中定制的初始梯度进行自动属性评估。然后,利用基于非支配遗传算法的迭代优化过程,对具有多个目标的晶格结构的几何参数进行优化。研究结果根据应力条件生成了基于应力的空间密度可变分级晶格结构的初始设计。随后的双目标优化结果表明,一系列拓扑结构在机械性能和渗透性之间的权衡逐渐得到改善。原创性/价值本研究提出了一种新颖的结构设计优化方法,用于对基于支柱的分级晶格结构进行数学优化,以提高其在多个领域的性能。
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A novel design method based onmulti–objective optimization for graded lattice structure by additive manufacturing
Purpose While performance demands in the natural world are varied, graded lattice structures reveal distinctive mechanical properties with tremendous engineering application potential. For biomechanical functions where mechanical qualities are required from supporting under external loading and permeability is crucial which affects bone tissue engineering, the geometric design in lattice structure for bone scaffolds in loading-bearing applications is necessary. However, when tweaking structural traits, these two factors frequently clash. For graded lattice structures, this study aims to develop a design-optimization strategy to attain improved attributes across different domains. Design/methodology/approach To handle diverse stress states, parametric modeling is used to produce strut-based lattice structures with spatially varied densities. The tailored initial gradients in lattice structure are subject to automatic property evaluation procedure that hinges on finite element method and computational fluid dynamics simulations. The geometric parameters of lattice structures with numerous objectives are then optimized using an iterative optimization process based on a non-dominated genetic algorithm. Findings The initial stress-based design of graded lattice structure with spatially variable densities is generated based on the stress conditions. The results from subsequent dual-objective optimization show a series of topologies with gradually improved trade-offs between mechanical properties and permeability. Originality/value In this study, a novel structural design-optimization methodology is proposed for mathematically optimizing strut-based graded lattice structures to achieve enhanced performance in multiple domains.
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