隐式曲面点阵结构的密度梯度杂交优化设计

Density gradient hybrid optimization design for TPMS lattice structures

  • 摘要: 针对三周期极小曲面(triply periodic minimal surface,TPMS)点阵结构均质填充导致的局部力学性能不足与材料无法充分利用问题,提出一种拓扑优化与主应力指导的耦合设计方法,旨在提升其承载性能与功能适应性。首先建立Gyroid、Primitive、Diamond三种隐式曲面模型,并结合压缩实验分析不同旋转角度下结构的各向异性力学特性。通过拓扑优化指导密度分布,以及单元主应力调控晶胞类型选择,构建内框架连接的杂交变密度点阵结构。研究结果表明,最优模型的承载能力较对比模型提高了约34%与75%。证明了提出的采用的优化设计方法和内框架连接方式的有效性。

     

    Abstract: The issues of insufficient local mechanical performance and underutilization of materials caused by homogeneous filling in triply periodic minimal surface (TPMS) lattice structures are addressed. A coupled design method integrating topology optimization and principal stress guidance was proposed to enhance load-bearing capacity and functional adaptability. Gyroid, Primitive, and Diamond implicit surface models were first established, with compression experiments analyzing the anisotropic mechanical properties under different rotation angles. By employing topology optimization to guide density distribution and utilizing principal stresses to regulate unit cell type selection, a hybrid variable-density lattice structure with internal frame connections was constructed. The results demonstrated that the optimal model exhibited approximately 34% and 75% improvements in load-bearing capacity compared to reference models, respectively. This validates the effectiveness of the proposed optimization design methodology and internal frame connection approach.

     

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