加筋板结构可靠性拓扑优化与工程化设计

Reliability-based topology optimization and engineering design of stiffened plates

针对三维加筋板结构,为在保证其安全及可靠性的前提下实现轻量化与工程化设计,提出一种非嵌套的可靠性拓扑优化方法,并开展可靠性概念-详细组合优化设计。该方法借助序列优化及可靠性评估算法的解耦特性,应用变密度法内核下的外部优化软件进行确定性拓扑优化以提升优化效率;考虑载荷及材料随机性,将混合均值法应用于可靠性评估阶段的最可能失效点搜寻。进一步地,对可靠性概念设计进行布局解释并开展尺寸优化设计以实现工程化应用。研究表明:相较于确定性的拓扑优化方法,本文提出的可靠性拓扑优化方法,可兼顾可靠性与轻量化要求。可靠性概念-详细组合优化策略在简化布局并保证性能的同时,使加筋板结构材料成本降低21.40%。

For the three-dimensional stiffened plate,a non-nested reliability based topology optimization is proposed in order to achieve lightweight and engineering design while ensuring its safety and reliability.And the reliability concept-detailed combination optimization design is carried out for three-dimensional engineering stiffened plates.By virtue of the decoupling characteristics of the sequential optimization and reliability assessment method external optimization software with variable density method as the core was applied to carry out deterministic topology optimization to improve optimization efficiency.And considering the randomness of loads and materials,the hybrid mean value method was used to search the most probable point in the reliability evaluation stage.Furthermore,the layout of reliability conceptual design was interpreted and the size optimization was carried out to realize the engineering application.The result shows that compared with the deterministic topology optimization,the reliability topology optimization proposed in this paper can meet the requirements of structural reliability and lightweight.The combination optimization strategy of conceptual design and detailed design has realized that the engineering stiffened plate can reduce the material cost by 21.40% while simplifying the layout and ensuring the performance.