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| Two-scale topology optimization of functionally graded lattice structures with varying volume fraction |
| Received:November 17, 2021 Revised:January 23, 2022 |
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| DOI：10.7511/jslx20211117001 |
| KeyWord:topology optimization graded lattice structure DMO varying volume fraction |
| Author | Institution |
| 梁有鹏 |
南京航空航天大学 航空学院 机械结构力学及控制国家重点实验室, 南京 |
| 徐亮 |
南京航空航天大学 航空学院 机械结构力学及控制国家重点实验室, 南京 |
| 刘电子 |
英国东安格利亚大学 工程学院, 诺维奇 NR4 7TJ |
| 钱征华 |
南京航空航天大学 航空学院 机械结构力学及控制国家重点实验室, 南京 |
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| Abstract: |
| 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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