面向在轨组装的生长结构拓扑优化设计
TOPOLOGY OPTIMIZATION OF GROWTH STRUCTURES FOR ON-ORBIT ASSEMBLY
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摘要: 面向深空探测、高精度对地观测、空间太阳能电站等多样化的空间任务需求, 超大型空间结构已成为空间资源利用、探索宇宙等重大空间战略的重要装备. 然而, 空间结构在轨组装构建过程的力学性能受其组装序列的影响较大, 如何处理这样一个“逐步生长”的变设计域结构优化问题具有一定的挑战. 本文提出了一种面向在轨组装的仿生序列生长拓扑优化方法, 借鉴自然界菌落扩散的机制, 建立种子单元、邻域设定、生长准则以及变设计域更新等环节, 构建了在轨组装结构柔顺度最小化的序列生长拓扑优化模型, 并对六边形组装结构的生长特性进行了系统研究, 揭示了不同生长速率对结构组装拓扑形态和性能的影响; 同时, 提出了在轨组装结构基频最大序列生长拓扑优化模型, 揭示了动力学性能驱动的生长规律, 研究了灵敏度过滤半径对于生长结果的影响, 结果表明, 过大的过滤半径会导致生长路径平滑化, 其性能低于小过滤半径代表的相对局部化的生长路径. 本文提出的仿生序列生长拓扑优化方法能够有效反映在轨组装的逐步构建特性, 并在静力学与动力学性能优化中展现出良好的工程应用前景.Abstract: Facing diverse mission requirements such as deep space exploration, high-precision Earth observation, and space-based solar power stations, ultra-large space structures have become crucial equipment for strategic objectives including space resource utilization and the exploration of the universe. However, the mechanical behavior of the space structures in the process of on-orbit assembly is highly dependent on the assembly sequence, making the optimization of “progressive growth” structures a particularly challenging task. To overcome this limitation, this study introduces a bio-inspired sequential growth topology optimization approach for on-orbit assembly, incorporating seed initialization, neighborhood definition, growth criteria, and dynamic design domain updating. A compliance-minimization sequential growth optimization model is established to capture the stepwise construction process of on-orbit structures. Systematic investigations of the hexagonal assembly structures reveal that growth speed significantly affects both topology and mechanical performance. Meanwhile, a frequency-maximization sequential growth optimization model is also established, revealing growth patterns driven by dynamic performance and the influence of sensitivity filter radii. Results reveal that larger filter radius leads to overly smoothed growth paths with inferior performance compared with the relatively localized growth paths associated with smaller radius. Overall, the bio-inspired sequential growth topology optimization method effectively reflects the progressive assembly characteristics of on-orbit structures and demonstrates promising engineering applicability in both static and dynamic performance optimization.
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