中文摘要：

应用拓扑优化技术研究了蒙皮厚度、加筋高度以及周期性格栅数对格栅加筋结构优化性能的影响。首先分析了不同蒙皮厚度和加筋高度组合下格栅优化构型的变化趋势,发现不同材料用量下具有最佳结构效率的优化结构拥有相同格栅构型。其次比较了周期性格栅数对单层和双层格栅加筋结构优化结果的影响,结果表明随着周期性格栅数的增加,结构优化性能逐渐趋于一个极限值,单刚度目标下周期性格栅数的奇偶性显著影响格栅优化构型,而刚度和频率多目标下周期性格栅数大于7×7后其对格栅优化构型的影响消失。研究结果对格栅加筋结构的格栅构型设计与选择具有指导意义。

英文摘要：

Based on topology optimization techniques, the influences of skin thickness, stiffener height and periodic grid number on the optimized design of periodic grid stiffened structure was investigated. Firstly, topology optimization of grid stiffened structures was carried out for different combinations of skin thickness and stiffener height. Comparison of the results shows that there is uniform grid configuration with optimal structural efficiency for different material volume fraction. Secondly, the effect of periodic grid number upon optimal grid configuration of one or two-ply periodic grid stiffened structure were discussed. The results show that the optimal structural performance is tends to limits and the optimal configuration is change for stiffness optimization when periodic grid number increase, furthermore, when periodic grid number is more than 7 × 7, the effect on optimized grid layout vanish for multi-objective optimization, The results provide guidance for design and choice of grid layout of grid stiffened structure.