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论文:2021,Vol:39,Issue(6):1233-1239 |
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引用本文： |
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董伟, 李扬, 辛克浩, 殷德政, 宋龙龙, 高彤. 基于拓扑优化的点阵-加筋板式结构设计方法[J]. 西北工业大学学报 |
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DONG Wei, LI Yang, XIN Kehao, YIN Dezheng, SONG Longlong, GAO Tong. A method of designing plate structure consisting of lattices and stiffeners based on topology optimization[J]. Northwestern polytechnical university |
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| 基于拓扑优化的点阵-加筋板式结构设计方法 |
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| 董伟1, 李扬2, 辛克浩1, 殷德政1, 宋龙龙2, 高彤2 |
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1. 北京航天长征飞行器研究所, 北京 100076;
2. 西北工业大学 航宇材料结构一体化设计与增材制造装备技术国际联合研究中心, 陕西 西安 710072 |
| 摘要: |
| 针对高超声速飞行器仪器舱设备安装板结构轻量化和提高静/动力学性能的设计需求，融合轻质点阵结构与传统加筋结构的优点，提出一种点阵-加筋板式结构方案并建立了拓扑优化设计方法。利用均匀化等效方法计算点阵结构的宏观等效力学性能，将其作为一种虚拟材料，建立实体材料-虚拟材料插值模型。以结构整体质量为约束，整体柔顺度最小为目标建立拓扑优化问题，实现点阵-加筋板式结构布局优化设计。以飞行器设备安装板为例，分别完成了传统加筋结构和点阵-加筋板式结构优化设计。力学性能分析表明，在相同质量条件下，点阵-加筋板式结构方案具有更好的力学性能，大过载下的最大变形降低11.17%，简谐激励下位移响应峰值降低73.81%。 |
| 关键词:
拓扑优化
点阵结构
加筋结构
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| A method of designing plate structure consisting of lattices and stiffeners based on topology optimization |
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| DONG Wei1, LI Yang2, XIN Kehao1, YIN Dezheng1, SONG Longlong2, GAO Tong2 |
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1. Beijing Institute of Long March Space Vehicle, Beijing 100076, China;
2. International Joint Research Center of Aerospace Design and Additive Manufacturing, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| In order to satisfy the lightweight design requirements of the equipment mounting plate in the hypersonic vehicle instrument cabin and improve its static/dynamic performance, a novel structure consisting of both lattices and stiffeners are studied and topology optimization method is proposed in this paper. This structure combines the advantages of lattice structures and conventional stiffened structures. First, the lattice structure is regarded as a kind of virtual material, and its equivalent mechanical properties are calculated by the homogenization method. Then, a marerial interpolation model of the virtual and solid materials are established. A topology optimization problem to minimize the mean compliance under the mass constraint is proposed to realize the layout optimization design of stiffened structure with lattices. Taking an equipment mounting plate as an example, the optimization design of the traditional stiffened structure and the novel stiffened structure with lattices is completed, respectively. Numerical analysis indicates that the lattice stiffened plate structure provides advantageous mechanical performation in the condition of the same weight. The maximum deformation under inertial force is reduced by 11.17% and the peak displacement response under harmonic excitation is reduced by 73.81% by using the stiffened structure with lattices. |
| Key words:
topology optimization
lattice structure
stiffened structure
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| 收稿日期: 2021-03-11
修回日期:
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| DOI: 10.1051/jnwpu/20213961233 |
| 基金项目: 国家自然科学基金（51735005，51790171）资助 |
| 通讯作者:
Email： |
| 作者简介: 董伟(1991-),北京航天长征飞行器研究所工程师,主要从事飞行器结构设计和优化研究。e-mail:dongw14@163.com
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| 董伟 在本刊中的所有文章 |
| 李扬 在本刊中的所有文章 |
| 辛克浩 在本刊中的所有文章 |
| 殷德政 在本刊中的所有文章 |
| 宋龙龙 在本刊中的所有文章 |
| 高彤 在本刊中的所有文章 |
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