Multi-scale topology optimization for graded hollow lattice structures with variable wall thickness

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-04-10 DOI:10.1016/j.tws.2025.113274

Zhengtao Shu, Kang Zhao, Hao Li, Liang Gao

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Abstract

Considering the mechanical performance advantages of hollow truss-based lattice microstructures, this paper proposes a multi-scale topology optimization method for designing graded hollow lattice structures (GHLSs). The level set-based implicit representation method is used to construct hollow lattice microstructures with different configurations, and their mechanical properties are characterized using the asymptotic homogenization method. Compared to solid lattice microstructures, hollow lattice microstructures exhibit an improvement of at least 20 % in total stiffness and over 15 % in thermal conductivity. Subsequently, elasticity tensor scaling laws for the microstructures are constructed to avoid expensive iterative homogenization calculations during optimization. Based on these laws, multi-scale topology optimizations are performed considering the thermal conductivity and stiffness performance of the GHLS. The proposed hybrid level set method (HLSM) enables high-quality geometric reconstruction, ensuring the obtained GHLS have at least C⁰ continuity. Finally, the thermal and stiffness performance of the GHLSs is compared and verified by finite element analysis (FEA) and experiments.

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变壁厚梯度空心点阵结构的多尺度拓扑优化

考虑到基于空心桁架的晶格微结构的力学性能优势，提出了一种多级拓扑优化设计方法。采用基于水平集的隐式表示方法构造了具有不同构型的空心点阵微结构，并利用渐近均匀化方法对其力学性能进行了表征。与固体晶格微结构相比，空心晶格微结构的总刚度提高了至少20%，导热系数提高了15%以上。随后，建立了微观结构的弹性张量标度律，避免了优化过程中昂贵的迭代均匀化计算。基于这些规律，考虑了GHLS的导热性能和刚度性能，进行了多尺度拓扑优化。所提出的混合水平集方法（HLSM）能够实现高质量的几何重构，保证得到的GHLS至少具有0的连续性。最后，通过有限元分析和实验对ghls的热性能和刚度性能进行了比较和验证。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.