Data-driven multi-objective optimization for lattice-based metamaterials
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摘要: 桁架类点阵超材料是一类超轻质承载吸能材料,在冲击防护领域具有广阔的应用前景。然而,由于点阵超材料细观构型参数空间庞大,且构型参数与力学响应之间存在复杂的非线性关系,其性能优化面临巨大挑战。本文基于桁架类点阵超材料的细观结构特征,提出了一种高效的快速数字化建模方法,并利用 Python 脚本驱动 Abaqus 仿真软件,实现了材料的批量化建模与仿真分析。在此基础上,通过有限元数值模拟建立了不同构型点阵超材料的准静态压缩性能数据集,并利用实验验证了数据集的可靠性。随后,训练了一个人工神经网络模型作为代理函数,并将其嵌入 NSGA-Ⅱ 遗传算法,对点阵超材料开展多目标优化设计,获得了具有高承载能力、高吸能特性以及兼顾承载吸能性能的点阵超材料构型。本文融合机器学习与数值仿真技术,可有效降低优化设计的计算成本,为复杂点阵超材料的快速性能优化与定制化设计提供技术支撑。
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关键词:
Abstract: Strut-based lattice metamaterials represent a class of ultra-lightweight load-bearing and energy-absorbing materials with broad application prospects in impact protection. However, due to the vast parameter space of mesoscopic configurations and the complex nonlinear relationship between these configurations and their mechanical responses, optimizing the mechanical performance of lattice metamaterials faces significant challenges. Based on the meso-structural characteristics of strut-based lattice metamaterials, an efficient rapid digital modeling method was proposed in this manuscript. Utilizing Python scripts to drive Abaqus simulation software, we achieved batch modeling and simulation analysis of the materials. Building upon this foundation, a dataset of quasi-static compression performance for various lattice metamaterial configurations was established through finite element simulations. The reliability of the dataset was confirmed via experimental validation. Subsequently, an artificial neural network model was trained to serve as a surrogate function, which was embedded into the NSGA-II genetic algorithm to conduct multi-objective optimization design of the lattice metamaterials. The optimization yielded lattice configurations exhibiting high load-bearing capacity, superior energy absorption characteristics, and balanced load-bearing/energy-absorption performance. By integrating machine learning with numerical simulations, this work effectively reduces the computational cost of optimization design, offering technical support for the rapid performance optimization and customized design of complex lattice metamaterials. -
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