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三重周期极小曲面(TPMS)在室内设计中的结构优化、抗压强度分析及应用探索

Structural optimization, compressive strength analysis, and application exploration of triply periodic minimal surfaces (TPMS) in interior design.

作者信息

Huang Yu, Zhai LeiLei

机构信息

School of Environmental Art Design, Shaanxi Vocational & Technical College, Xi'an, 710100, China.

Beijing Jiaotong University, Beijing, 100044, China.

出版信息

Sci Rep. 2025 Apr 1;15(1):11026. doi: 10.1038/s41598-025-95778-1.

DOI:10.1038/s41598-025-95778-1
PMID:40164673
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11958741/
Abstract

In modern interior design, the selection of materials and structural optimization are critical to achieving both functionality and aesthetic appeal. Triply periodic minimal surfaces (TPMS), with their outstanding mechanical properties and lightweight characteristics, have increasingly attracted the attention of designers. In this study, Gyroid (G) TPMS structures were fabricated using LCD-based photopolymerization technology, and ten models with periodic parameter T ranging from [1/5, 2] were designed. Finite element simulations and experimental validations were employed to thoroughly analyze the structural optimization and compressive strength of G surfaces, particularly when T = 1/3. The results revealed that at T = 1/3, G surfaces exhibited minimal stress concentration, a moderate number of meshes, and optimal values for compression crush rate and porosity error. Furthermore, with T = 1/3 and a porosity of 50%, additional parameters such as surface offset, cell thickness, offset thickness, and gradient distribution were adjusted to design four distinct G surface structures. Compression tests were conducted to investigate the effects of different loading directions on mechanical properties, deformation behavior, and energy absorption. It was found that under vertical loading, the surface-offset G surface exhibited the highest energy absorption and efficiency, while under parallel loading, the cell-thickness G surface demonstrated the most stable deformation. The application of these structures in interior design is thoroughly discussed, emphasizing how TPMS can serve as effective structural systems and innovative spatial elements. This study provides a solid theoretical foundation and extensive experimental evidence for the application of TPMS structures in interior design.

摘要

在现代室内设计中,材料的选择和结构优化对于实现功能与美学吸引力至关重要。三重周期极小曲面(TPMS)凭借其出色的力学性能和轻质特性,越来越受到设计师的关注。在本研究中,采用基于液晶显示器的光聚合技术制造了Gyroid(G)型TPMS结构,并设计了十个周期参数T范围为[1/5, 2]的模型。利用有限元模拟和实验验证对G曲面的结构优化和抗压强度进行了全面分析,特别是当T = 1/3时。结果表明,当T = 1/3时,G曲面的应力集中最小,网格数量适中,压缩破碎率和孔隙率误差达到最优值。此外,在T = 1/3且孔隙率为50%的情况下,调整了诸如表面偏移、单元厚度、偏移厚度和梯度分布等附加参数,设计了四种不同的G曲面结构。进行了压缩试验,以研究不同加载方向对力学性能、变形行为和能量吸收的影响。结果发现,在垂直加载下,表面偏移的G曲面表现出最高的能量吸收和效率,而在平行加载下,单元厚度的G曲面表现出最稳定的变形。深入讨论了这些结构在室内设计中的应用,强调了TPMS如何能够作为有效的结构系统和创新的空间元素。本研究为TPMS结构在室内设计中的应用提供了坚实的理论基础和丰富的实验依据。

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