基于应力场驱动的TPMS梯度晶格结构拓扑优化及抗压性能验证

Topology Optimization and Compressive Performance Verification of TPMS Gradient Lattice Structure Based on Stress Field Driven

摘要: 本研究提出一种面向抗压结构优化的场驱动拓扑设计方法。基于ABAQUS建立3 × 3 × 3 mm³立方体基准模型，通过对比面心立方、开口杆状、柱状、中心球及TPMS (P型)等五种晶格结构的压缩应力场特征，验证TPMS结构的应力分布优势。创新性地将实心立方体应力场数据导入nTopology平台，生成梯度化TPMS优化构型。通过准静态压缩仿真复现万能试验机工况，系统分析优化结构的应力集中特征与应变响应曲线。结果显示：梯度TPMS相较传统均质晶格最大应力降幅达8.6%，验证了场驱动方法在抗压结构优化中的有效性。本研究为承压部件轻量化设计提供了新的数字化解决方案。

Abstract: This study proposes a field-driven topology design method for compressive structure optimization. Based on ABAQUS, a 3 × 3 × 3 mm³ cube benchmark model is established. By comparing the compressive stress field characteristics of five lattice structures, such as face-centered cubic, open rod, columnar, central sphere, and TPMS (P-type), the stress distribution advantages of the TPMS structure are verified. The solid cube stress field data is innovatively imported into the nTopology platform to generate a gradient TPMS-optimized configuration. The working conditions of the universal testing machine are reproduced by quasi-static compression simulation, and the stress concentration characteristics and strain response curves of the optimized structure are systematically analyzed. The results show that the maximum stress drop of the gradient TPMS compared with the traditional homogeneous lattice is 8.6%, which verifies the effectiveness of the field-driven method in the optimization of the compressive structure. This study provides a new digital solution for the lightweight design of pressure components.