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A conformal optimization framework for lightweight design of complex components using stochastic lattice structures
Computers & Structures ( IF 4.4 ) Pub Date : 2025-01-20 , DOI: 10.1016/j.compstruc.2025.107646
Zhuangyu Li, Hui Liu, Changri Xiong, Wenlei Xiao, Shulin Chen, Ziteng Zhu, Gang Zhao

Multi-scale lattice structures are celebrated for their superior mechanical properties and have been widely adopted across various engineering disciplines. Traditional periodic multi-scale lattice structures, however, often struggle with maintaining the fidelity of the original model's boundaries, encounter complex geometric modeling processes, and require extensive optimization times. This paper introduces a conformal optimization design framework for three-dimensional lattice structures that can be efficiently and conveniently applied to design domains with complex or irregular boundaries. The framework capitalizes on the unique properties of Stochastic Lattice Structures (SLS), which provide greater design flexibility and reduced sensitivity to defects compared to periodic counterparts. We present the Three-dimensional Functionally Graded Stochastic Lattice Structures (3D-FGSLS) design framework, which includes four main components: a database for optimization and geometric modeling that links microstructure's relative density with its geometric parameters and mechanical properties; a homogenization-based optimization design method; a novel vertex-based density mapping approach; and a advanced software kernel for lattice geometric modeling. The effectiveness of this framework is validated through several cases, showcasing its practical applicability.

中文翻译:


一种使用随机晶格结构的复杂组件轻量化设计的保形优化框架



多尺度晶格结构以其卓越的机械性能而闻名,并已被广泛用于各种工程学科。然而,传统的周期性多尺度晶格结构通常难以保持原始模型边界的保真度,遇到复杂的几何建模过程,并且需要大量的优化时间。本文介绍了一种用于三维晶格结构的共形优化设计框架,该框架可以高效、方便地应用于具有复杂或不规则边界的设计域。该框架利用了随机晶格结构 (SLS) 的独特特性,与周期性结构相比,SLS 提供了更大的设计灵活性并降低了对缺陷的敏感性。我们提出了三维功能分级随机晶格结构 (3D-FGSLS) 设计框架,其中包括四个主要组件:一个用于优化和几何建模的数据库,将微观结构的相对密度与其几何参数和机械性能联系起来;基于均质化的优化设计方法;一种新颖的基于顶点的密度映射方法;以及用于晶格几何建模的高级软件内核。该框架的有效性通过几个案例得到验证,展示了其实际适用性。
更新日期:2025-01-20
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