| 丛煜昊,易斯男,赵政.增材制造非均匀点阵结构热弹性耦合多目标拓扑优化[J].计算力学学报,2025,42(4):557~563 |
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| 增材制造非均匀点阵结构热弹性耦合多目标拓扑优化 |
| Thermoelastic coupling multi-objective topology optimization of additively manufactured non-uniform lattice structures |
| 投稿时间：2024-04-17 修订日期：2024-05-08 |
| DOI：10.7511/jslx20240417001 |
| 中文关键词: 非均匀点阵结构 等效热传导性能预测 热弹性耦合 几何建模 节点球光滑化 |
| 英文关键词:non-uniform lattice structure equivalent heat conductivity prediction thermoelastic coupling geometric modeling node sphere smoothing |
| 基金项目:国家自然科学基金重点项目(12332007)资助. |
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| 中文摘要: |
| 面向航天结构轻量化、高承载和高导热设计需求,以具有高刚度质量比等特点的Octet晶格构成的空间非均匀点阵结构为研究对象,基于密度法建立热弹性耦合多目标拓扑优化设计模型,获得承载与传热功能一体化结构设计。首先,基于均匀化方法建立Octet晶格等效性能预测模型。进而考虑结构热弹性应力载荷,以结构刚度与传热性能为优化目标,研究了非均匀点阵结构多目标优化设计问题。其中,基于目标函数对单胞和宏观结构两个层次设计变量的灵敏度分析,同时对单胞设计参数和单胞在宏观结构中的空间分布进行优化。最后,针对非均匀点阵结构局部几何突变问题,提出了相邻点阵单胞共有杆件保体积的等直径变换和共有节点处节点球光滑化的非均匀点阵结构几何后处理方法。数值算例验证了优化设计方法的有效性和优化结果的增材制造可行性。 |
| 英文摘要: |
| This paper presents a thermoelastic coupled multi-objective topology optimization model for integrated design of spatially non-uniform lattice structures with load-bearing and heat transfer functionalities to fulfil the specific requirements of lightweight,high load-bearing capacity,and excellent thermal conductivity for aerospace engineering applications.The study focuses on relative density-based distribution of Octet unit cells in a lattice structure.First,the relationships between the equivalent stiffness,heat conductivity of Octet lattice cells and their geometric design parameters are established through homogenization and polynomial regression.Then,the topology optimization problem of non-uniform lattice structures is formulated and solved with a gradient-based mathematical programing algorithm for determining the design variables on the unit cell level and the macro-structure level.Further,a geometric post-processing approach is introduced to tackle the modeling issues related to abrupt local geometric changes in the optimized non-uniform lattice structures.The postprocess comprises two steps:a volume-preserving equal-diameter transformation of shared rods of adjacent lattice unit cells,and a node sphere smoothing at shared nodes.Several numerical examples are presented to demonstrate the effectiveness of the optimization design method and the feasibility of additive manufacturing in realizing these intricate structures. |
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