| 梁有鹏,徐亮,刘电子,钱征华.变体分比功能梯度点阵结构两尺度拓扑优化设计[J].计算力学学报,2023,40(3):339~347 |
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| 变体分比功能梯度点阵结构两尺度拓扑优化设计 |
| Two-scale topology optimization of functionally graded lattice structures with varying volume fraction |
| 投稿时间：2021-11-17 修订日期：2022-01-23 |
| DOI：10.7511/jslx20211117001 |
| 中文关键词: 拓扑优化 梯度点阵结构 DMO 变体分比 |
| 英文关键词:topology optimization graded lattice structure DMO varying volume fraction |
| 基金项目:国家自然科学基金（12061131013）；中央高校基本科研业务费（NS2020004；NE2020002；NS2019207）；（省部级）机械结构力学及控制国家重点实验室开放课题（MCMS-E-0520K02）资助项目. |
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| 中文摘要: |
| 功能梯度点阵结构以其轻质、高比强度/比刚度及高抗断裂韧性等诸多优越的性能受到广泛关注，由于其跨尺度及空间渐变的几何结构特点，目前功能梯度点阵结构的设计仍然是一项具有挑战性的任务。本文采用两步优化策略进行多分区功能梯度点阵结构刚度优化设计。（1）结合离散材料优化方法进行多分区离散材料优化，获得宏观均匀结构拓扑及合理的微结构分区。（2）进行空间梯度变化点阵结构参数优化，进一步扩大设计空间，获得变体分比的结构设计。相较于单一点阵微结构设计，两步优化策略可以更为有效地实现材料利用，显著提高结构刚度，且该方法适用于不同微结构构型，数值算例验证了该方法的有效性。 |
| 英文摘要: |
| Functionally graded lattice structures enjoy widespread attention due to their lightweight, high specific stiffness/strength, high fracture resistance and other good performances.Yet design optimization of these structures is still a challenging task due to their cross-scale and spatially graded geometrical characteristics.In this work, a two-step optimization strategy is proposed to design functionally graded lattice structures.In the first step, the Discrete Material Optimization(DMO) is conducted to obtain optimal the macro structural configuration and micro structural distribution.In the second step, parametric optimization is conducted to obtain graded lattice structures with a varying volume fraction.The advantage of this work includes the adoption of the varying volume fraction operation, which enables the management of complex microstructures, and the pattern of spatially graded microstructure, which further broadens design space and improves structural stiffness, facilitating efficient use of materials.Finally, several numerical examples are presented to verify the effectiveness of the proposed method which significantly expands design space and effectively improve the structural stiffness. |
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